Metrics for HairBSDF, sample

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze78.0ms (0.8%)

Memory

18.7MiB live, 137.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.9%	99.1%	0%	0%	0%	0
0%	0%	0.9%	99.1%	0%	0%	0%	1
0%	0%	0.9%	99.1%	0%	0%	0%	2
0%	0%	0.9%	99.1%	0%	0%	0%	3
0%	0%	0.9%	99.1%	0%	0%	0%	4
37.5%	0.3%	0.5%	99.1%	0%	0%	0%	5
43.7%	0.4%	0.5%	99.1%	0%	0%	0%	6
65.6%	0.6%	0.3%	99.1%	0%	0%	0%	7
70.3%	0.6%	0.3%	99.1%	0%	0%	0%	8
82%	0.7%	0.2%	99.1%	0%	0%	0%	9
84.8%	0.7%	0.1%	99.1%	0%	0%	0%	10
90.8%	0.8%	0.1%	99.1%	0%	0%	0%	11
92.3%	0.8%	0.1%	99.1%	0%	0%	0%	12

Compiler

Compiled 31 to 23 computations (25.8% saved)

sample2.2s (22.9%)

Memory

46.8MiB live, 1 807.0MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

const: 321.0ms (24.1% of total)

ival-<=: 191.0ms (14.3% of total)

ival-div: 145.0ms (10.9% of total)

ival-exp: 145.0ms (10.9% of total)

ival-add: 144.0ms (10.8% of total)

ival-mult: 143.0ms (10.7% of total)

ival-log: 122.0ms (9.2% of total)

ival-sub: 83.0ms (6.2% of total)

ival-and: 25.0ms (1.9% of total)

exact: 12.0ms (0.9% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain392.0ms (4.1%)

Memory

-42.5MiB live, 264.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	3	(0.12474517524242401 0.004662113729864359)	1	(0.0007967187557369471 0.039389029145240784)	`(exp.f32 (/.f32 #s(literal -2 binary32) v))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`#s(literal -2 binary32)`
0	0	-	0	-	`u`
0	0	-	0	-	`(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))`
0	0	-	0	-	`(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))`
0	0	-	0	-	`v`
0	0	-	0	-	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
0	0	-	0	-	`(/.f32 #s(literal -2 binary32) v)`
0	0	-	0	-	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`
0	0	-	0	-	`(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 #s(literal -2 binary32) v))`	sensitivity	3	5

Confusion

	Predicted +	Predicted -
+	0	3
-	3	250

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	1
-	3	6	244

Precision?

0.18181818181818182

Recall?

0.6666666666666666

Freqs

test

number	freq
0	253
1	3

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

172.0ms

512×

valid

Compiler

Compiled 232 to 52 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-add: 132.0ms (84.2% of total)

ival-log: 7.0ms (4.5% of total)

ival-mult: 6.0ms (3.8% of total)

ival-div: 4.0ms (2.6% of total)

ival-exp: 4.0ms (2.6% of total)

ival-sub: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess105.0ms (1.1%)

Memory

-4.7MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	85
1	67	75
2	156	75
3	387	75
4	940	75
5	1672	75
6	2270	75
7	2543	75
8	2691	75
9	2731	75
10	2759	75
11	2780	75
12	2780	75
0	12	15
0	20	15
1	28	15
2	38	15
3	61	15
4	117	15
5	164	15
6	243	15
7	384	15
8	504	15
9	546	15
10	547	15
0	547	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Outputs

(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))

Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify24.0ms (0.2%)

Memory

13.4MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
cost-diff	0	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
cost-diff	64	(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	71
0	20	71
1	28	71
2	38	71
3	61	71
4	117	71
5	164	71
6	243	71
7	384	71
8	504	71
9	546	71
10	547	71
0	547	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

Outputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

localize32.0ms (0.3%)

Memory

-12.3MiB live, 65.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.06744838492458946	(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy	0.09441376953688402	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
accuracy	0.12230100244472211	(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy	0.30078125	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))

Samples

23.0ms

256×

valid

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 4.0ms (25.7% of total)

ival-div: 3.0ms (19.3% of total)

ival-mult: 3.0ms (19.3% of total)

ival-add: 2.0ms (12.8% of total)

ival-exp: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series62.0ms (0.6%)

Memory

9.0MiB live, 126.5MiB allocated

Counts

5 → 76

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))

Outputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	v	@	0	((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms	v	@	inf	((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms	u	@	-inf	((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms	u	@	inf	((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms	u	@	0	((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))

simplify161.0ms (1.7%)

Memory

10.1MiB live, 237.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	2677
1	935	2469
2	3028	2361
0	8320	2107

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 76

Calls

Call 1

Inputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))

Outputs
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 (fma.f32 (.f32 u #s(literal -1/2 binary32)) (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 u v) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (.f32 (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 (fma.f32 (.f32 u #s(literal -1/2 binary32)) (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -2 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 u v) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (.f32 (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -2 binary32))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(fma.f32 (fma.f32 (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
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(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 v #s(literal 3 binary32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))
(* -2 (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) v) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(* -2 (/ (- 1 u) v))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) v) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))) v)
(- 1 (* 2 (/ 1 v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (/.f32 #s(literal 4/3 binary32) (pow.f32 v #s(literal 3 binary32))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) (.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/6 binary32))) v)) v)) (neg.f32 v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))

rewrite176.0ms (1.8%)

Memory

18.2MiB live, 259.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
0	20	53
1	69	53
2	466	53
3	4880	53
0	8719	48

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 255

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))

Outputs
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)))
(.f32 (/.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))))
(.f32 (/.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)) (-.f32 (.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))
(.f32 (-.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
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(-.f32 (log.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (pow.f32 u #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (log.f32 (/.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (log.f32 (*.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))))))
(fma.f32 #s(literal -1 binary32) (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))) (log.f32 (-.f32 (*.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))))
(fma.f32 #s(literal -1 binary32) (log.f32 (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u))) (log.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (pow.f32 u #s(literal 3 binary32)))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32) (log.f32 (/.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32) (log.f32 (*.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))))))
(fma.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 (/.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 (*.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))))))
(+.f32 (log.f32 (/.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))) (log.f32 (fma.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (.f32 u u))))
(+.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (pow.f32 u #s(literal 3 binary32))) (-.f32 (pow.f32 u #s(literal 4 binary32)) (pow.f32 (.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) #s(literal 2 binary32))))) (log.f32 (-.f32 (.f32 u u) (*.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (pow.f32 u #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)) (pow.f32 u #s(literal 6 binary32))))) (log.f32 (fma.f32 (.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (-.f32 (.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (.f32 u u)) (pow.f32 u #s(literal 4 binary32)))))
(+.f32 (log.f32 (/.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+.f32 (neg.f32 (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))) (log.f32 (-.f32 (*.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))))
(+.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u)))) (log.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (pow.f32 u #s(literal 3 binary32)))))
(+.f32 (log.f32 (-.f32 (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u))))
(+.f32 (log.f32 (neg.f32 (-.f32 (*.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))))))
(+.f32 (log.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u))))))
(+.f32 (log.f32 (-.f32 (*.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (neg.f32 (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (log.f32 (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (.f32 u u))) (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (.f32 u u)))))
(+.f32 (log.f32 (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (.f32 u u))) (log.f32 (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u))))))
(+.f32 (log.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (log.f32 (fma.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) (*.f32 u u)))))
(+.f32 #s(literal 0 binary32) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 (/.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 (*.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) u) (-.f32 (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))))
(neg.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(pow.f32 (exp.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32))) (pow.f32 (.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32))) (pow.f32 (.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal -2 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))
(pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))

eval43.0ms (0.4%)

Memory: -22.1MiB live, 98.3MiB allocated
Compiler: Compiled 12 658 to 1 599 computations (87.4% saved)

prune17.0ms (0.2%)

Memory

10.8MiB live, 50.2MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	308	19	327
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	308	20	328

Accuracy

99.5%

Counts

328 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
	91.8%	(+.f32 #s(literal 1 binary32) (.f32 v (/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))) #s(literal 2 binary32))) (log.f32 (.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))))
	91.8%	(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))))))
	92.6%	(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
▶	99.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))
	99.3%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
✓	99.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
	2.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))))))
	43.9%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) v))))))
▶	41.0%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
▶	7.5%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
	7.4%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
	6.8%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
▶	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
▶	6.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

Compiler

Compiled 995 to 700 computations (29.6% saved)

simplify232.0ms (2.4%)

Memory

21.1MiB live, 174.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
cost-diff	0	(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
cost-diff	0	(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
cost-diff	0	(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
cost-diff	0	#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
cost-diff	0	(.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
cost-diff	64	(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
cost-diff	96	(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
cost-diff	128	(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff	256	(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
cost-diff	0	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
cost-diff	0	(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))
cost-diff	0	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))))
cost-diff	64	(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	428
0	81	428
1	125	428
2	224	408
3	588	404
4	1684	404
5	3877	404
6	7547	404
0	8305	379

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))))
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(-.f32 #s(literal 1 binary32) u)
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
(pow.f32 v #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
v
#s(literal 1/2 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(literal 1 binary32)
(.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(literal 1 binary32)
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(neg.f32 u)
u
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

Outputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))
(fma.f32 (log.f32 (fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))))
(*.f32 (log.f32 (fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) u) u)) v)
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))
(log.f32 (fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) u) u)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
(pow.f32 v #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32)) u #s(literal -1 binary32))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v)
(*.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) v) u)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
v
#s(literal 1/2 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
(.f32 #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v)
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
(.f32 (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) v)
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(neg.f32 u)
u
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

localize165.0ms (1.7%)

Memory

-2.0MiB live, 275.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.09441376953688402	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
accuracy	0.30078125	(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
accuracy	1.9368042109443344	#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
accuracy	29.59592502146078	(expm1.f32 (/.f32 #s(literal -2 binary32) v))
accuracy	0.30078125	(.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
accuracy	30.151717470038705	#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
accuracy	30.504797567727593	(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
accuracy	30.587815111916758	(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy	27.55492333758229	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
accuracy	28.949536417617512	(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy	29.859039919566925	(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
accuracy	29.92745721383146	(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
accuracy	30.09372268665985	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy	0.09441376953688402	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))
accuracy	0.1732581376756106	(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
accuracy	0.19085087127774944	(pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
accuracy	0.30078125	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))))

Samples

93.0ms

256×

valid

Compiler

Compiled 789 to 95 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-pow: 18.0ms (25.1% of total)

ival-add: 16.0ms (22.3% of total)

ival-mult: 15.0ms (20.9% of total)

ival-div: 5.0ms (7% of total)

ival-exp: 5.0ms (7% of total)

ival-log: 5.0ms (7% of total)

ival-expm1: 3.0ms (4.2% of total)

ival-sub: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series195.0ms (2%)

Memory

-16.5MiB live, 287.5MiB allocated

Counts

22 → 123

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))

Outputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(* 4 u)
(- (* 2 u) 1)
(* u (+ 4 (* -4 u)))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* -2 (/ (pow u 2) v))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))
(* 2 u)
(* u (- 2 (/ 1 u)))
(* -4 (pow u 2))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* u (- (exp (/ 2 v)) 1))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(* -1 (* u (- (/ 1 u) 2)))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(exp (* -2 (sqrt (/ 1 v))))
(- (exp (/ 2 v)) 1)
(- (exp (/ -2 v)) 1)
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (/ 1 v)))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(/ (- (* 2 u) 2) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(/ 2 v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(/ (- (* 2 (/ 1 v)) 2) v)
(/ (- (* 2 (/ 1 v)) (+ 2 (/ 4/3 (pow v 2)))) v)
(/ (- (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3)))) (+ 2 (/ 4/3 (pow v 2)))) v)
(* v (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))))
(* -1 (* v (- (* -1 (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u))))) (/ 1 v))))
(+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))
(log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ 2 (* -2 u)) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(exp (* -2 (* (sqrt (/ 1 v)) (pow (sqrt -1) 2))))
(exp (* 2 (/ (pow (sqrt -1) 2) v)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(* -1 (/ (- 2 (* 2 (/ 1 v))) v))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4/3 (* 2/3 (/ 1 v))) v))) v))) v))

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	v	@	inf	((+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (pow (exp -2) (pow v -1/2)) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (- (exp (/ -2 v)) 1))
44.0ms	v	@	-inf	((+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (pow (exp -2) (pow v -1/2)) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (- (exp (/ -2 v)) 1))
31.0ms	u	@	0	((+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (pow (exp -2) (pow v -1/2)) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (- (exp (/ -2 v)) 1))
24.0ms	v	@	0	((+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (pow (exp -2) (pow v -1/2)) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (- (exp (/ -2 v)) 1))
6.0ms	u	@	inf	((+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (pow (exp -2) (pow v -1/2)) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (- (exp (/ -2 v)) 1))

simplify198.0ms (2%)

Memory

33.0MiB live, 232.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	507	3264
1	1416	3038
2	4319	2894
0	8403	2606

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

Inputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(* 4 u)
(- (* 2 u) 1)
(* u (+ 4 (* -4 u)))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* -2 (/ (pow u 2) v))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))
(* 2 u)
(* u (- 2 (/ 1 u)))
(* -4 (pow u 2))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* u (- (exp (/ 2 v)) 1))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(* -1 (* u (- (/ 1 u) 2)))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(exp (* -2 (sqrt (/ 1 v))))
(- (exp (/ 2 v)) 1)
(- (exp (/ -2 v)) 1)
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (/ 1 v)))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(/ (- (* 2 u) 2) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(/ 2 v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(/ (- (* 2 (/ 1 v)) 2) v)
(/ (- (* 2 (/ 1 v)) (+ 2 (/ 4/3 (pow v 2)))) v)
(/ (- (+ (* 2 (/ 1 v)) (* 2/3 (/ 1 (pow v 3)))) (+ 2 (/ 4/3 (pow v 2)))) v)
(* v (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))))
(* -1 (* v (- (* -1 (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u))))) (/ 1 v))))
(+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))
(log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ 2 (* -2 u)) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(exp (* -2 (* (sqrt (/ 1 v)) (pow (sqrt -1) 2))))
(exp (* 2 (/ (pow (sqrt -1) 2) v)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(* -1 (/ (- 2 (* 2 (/ 1 v))) v))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4/3 (* 2/3 (/ 1 v))) v))) v))) v))

Outputs
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
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(-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(-.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(-.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) (.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/6 binary32))) v)) v)) (neg.f32 v))
(* -1 (/ (+ 2 (* -2 u)) v))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) v)) v))
(exp (* -2 (* (sqrt (/ 1 v)) (pow (sqrt -1) 2))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) v)))
(exp (* 2 (/ (pow (sqrt -1) 2) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) #s(literal 2 binary32)) v)) (neg.f32 v))
(* -1 (/ (- 2 (* 2 (/ 1 v))) v))
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) (neg.f32 v))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4/3 (* 2/3 (/ 1 v))) v))) v))) v))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) v)) v)) (neg.f32 v))

rewrite166.0ms (1.7%)

Memory

-28.7MiB live, 248.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	351
0	81	351
1	305	321
2	2506	321
0	8472	303

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 664

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))

Outputs
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (-.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (-.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(/.f32 (-.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (-.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))
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(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) #s(literal -1 binary32))
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) #s(literal -1 binary32))
(fma.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1/2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))

eval95.0ms (1%)

Memory: 18.3MiB live, 171.5MiB allocated
Compiler: Compiled 37 471 to 3 983 computations (89.4% saved)

prune45.0ms (0.5%)

Memory

19.2MiB live, 97.2MiB allocated

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	747	30	777
Fresh	5	9	14
Picked	1	4	5
Done	0	1	1
Total	753	44	797

Accuracy

99.7%

Counts

797 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
	6.5%	(+.f32 (.f32 #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v) #s(literal 1 binary32))
	91.8%	(+.f32 #s(literal 1 binary32) (.f32 v (/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))) #s(literal 2 binary32))) (log.f32 (.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))))
	5.3%	(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (.f32 u u))) (log.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)))))
	93.9%	(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (-.f32 u (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
	99.3%	(+.f32 #s(literal 1 binary32) (.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 u (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))))))
	92.6%	(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
	99.3%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
✓	99.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
▶	99.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
	99.3%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (.f32 (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))))))
	94.0%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))
✓	44.7%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
	3.4%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) u (/.f32 #s(literal -2 binary32) v)))))
✓	5.9%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
	5.9%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
	5.9%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) #s(literal 2 binary32)) v)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
	45.6%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u)))))
	40.2%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) v)) (neg.f32 v)))))
	7.4%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
	5.9%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)) v)))))
	5.9%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
	12.0%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v))))))
	10.7%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
▶	6.8%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
▶	45.0%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
▶	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) #s(literal 4 binary32)) (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) (.f32 u u))))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
▶	9.9%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
	6.2%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
	7.4%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
	6.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
	9.9%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (+.f32 v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))))) v)))
	13.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
	3.3%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
✓	6.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

Compiler

Compiled 2 926 to 1 933 computations (33.9% saved)

simplify217.0ms (2.2%)

Memory

-8.2MiB live, 235.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff	160	(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))
cost-diff	256	(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))
cost-diff	3232	(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
cost-diff	0	(*.f32 u v)
cost-diff	0	(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
cost-diff	0	#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))
cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
cost-diff	64	(*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u))
cost-diff	128	(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff	160	(.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))
cost-diff	192	(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
cost-diff	0	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
cost-diff	64	(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
cost-diff	320	(.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
cost-diff	6272	(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	665
0	115	661
1	200	647
2	443	596
3	1258	509
4	4447	500
0	8290	466

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))))
v
(log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))
u
(.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32))
(pow.f32 v #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
#s(literal -2 binary32)
(.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
#s(literal 2 binary32)
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))
(.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal 1/2 binary32)
(/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
v
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(*.f32 u v)
u
v
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
u
#s(literal 3 binary32)
#s(literal -16 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
#s(literal 24 binary32)
#s(literal -8 binary32)
(*.f32 v v)
v
#s(literal 1/6 binary32)
(fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal 1/2 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) u) v)
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal -2 binary32)

Outputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
(fma.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))))
(*.f32 (log.f32 (fma.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
v
(log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))
(log.f32 (fma.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))
(fma.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
u
(.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))
(*.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
(pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal -4 binary32))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 v #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
#s(literal -2 binary32)
(.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(pow.f32 v #s(literal -1/2 binary32))
#s(literal 2 binary32)
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)))
#s(literal 1/2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) u) v) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
(fma.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) u) v) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) u) v) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))
(/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) u) v)
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)
(/.f32 (*.f32 #s(literal 4 binary32) u) v)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
v
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)))
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))
(*.f32 u v)
u
v
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) (+.f32 (/.f32 (.f32 #s(literal 2 binary32) u) v) #s(literal -2 binary32))))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) (+.f32 (/.f32 (.f32 #s(literal 2 binary32) u) v) #s(literal -2 binary32)))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))
(.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) (+.f32 (/.f32 (.f32 #s(literal 2 binary32) u) v) #s(literal -2 binary32))))
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v))
(*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) v) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
u
#s(literal 3 binary32)
#s(literal -16 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))
(*.f32 (fma.f32 #s(literal -24 binary32) u #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
(fma.f32 #s(literal -24 binary32) u #s(literal 16 binary32))
#s(literal 24 binary32)
#s(literal -8 binary32)
(*.f32 v v)
v
#s(literal 1/6 binary32)
(fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
(.f32 (+.f32 (/.f32 (.f32 #s(literal 2 binary32) u) v) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal 2 binary32) u)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal 1/2 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) u) v)
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(literal -2 binary32)

localize268.0ms (2.8%)

Memory

-6.0MiB live, 254.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	29.16723901193795	(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy	29.470310450759886	#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
accuracy	29.595875650204693	(fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy	29.717727689529347	(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
accuracy	0.09441376953688402	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
accuracy	29.916085375137232	#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))
accuracy	30.42280878290276	(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy	30.691799358228185	(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
accuracy	0.359375	(.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))
accuracy	26.910453258081212	(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
accuracy	27.55492333758229	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
accuracy	28.5548574385651	(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy	4.211002846775188	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
accuracy	0.09441376953688402	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
accuracy	0.12230100244472211	(exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
accuracy	0.30078125	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))))
accuracy	0.5498237793053261	(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))

Samples

196.0ms

256×

valid

Compiler

Compiled 1 228 to 144 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-mult: 84.0ms (49.5% of total)

ival-add: 37.0ms (21.8% of total)

ival-pow: 18.0ms (10.6% of total)

ival-div: 8.0ms (4.7% of total)

ival-exp: 7.0ms (4.1% of total)

ival-log: 7.0ms (4.1% of total)

const: 4.0ms (2.4% of total)

ival-expm1: 2.0ms (1.2% of total)

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series113.0ms (1.2%)

Memory

13.7MiB live, 169.3MiB allocated

Counts

23 → 144

Calls

Call 1

Inputs
(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))
(.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
(.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(*.f32 u v)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))))
(exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))

Outputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(* 2 (/ u v))
(* u (+ (* -2 (/ u v)) (* 2 (/ 1 v))))
(* 4 u)
1/2
(+ 1/2 (* -1/2 u))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(* u v)
(* 8 u)
(* u (+ 8 (* -24 u)))
(* u (+ 8 (* u (- (* 16 u) 24))))
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)
(* 2 u)
(- (* u (+ 2 (* 2 (/ 1 v)))) 2)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)
16
(+ 16 (* -24 u))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* -2 (/ (pow u 2) v))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v))))
(* -1/2 u)
(* u (- (* 1/2 (/ 1 u)) 1/2))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(* u (* v (- (exp (/ 2 v)) 1)))
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))
(* 16 (pow u 3))
(* (pow u 3) (- 16 (* 24 (/ 1 u))))
(* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u))))
(* 8/3 (/ (pow u 3) (pow v 2)))
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))
(* -24 u)
(* u (- (* 16 (/ 1 u)) 24))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(* -1 (* u (- 1/2 (* 1/2 (/ 1 u)))))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))
(* -1 (* (pow u 3) (- (* 24 (/ 1 u)) 16)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16)))
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(* -1 (* u (- 24 (* 16 (/ 1 u)))))
(/ -2 v)
(sqrt (/ 1 v))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) (pow v 2)))
(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))
(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* v (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))) (pow v 2))
(/ (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)
(- (exp (/ 2 v)) 1)
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (/ 1 v)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(- (* 2 u) 2)
(- (+ (* 2 u) (* 2 (/ u v))) 2)
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2)
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) (pow v 2))) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(/ 2 v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(* 2 (/ (pow (sqrt -1) 2) v))
(* (sqrt (/ 1 v)) (pow (sqrt -1) 2))
(+ 1 (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ 1 (+ (* 1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u))))) (* 1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2)))))) (* 1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (* 2 (/ (* (pow (sqrt -1) 2) (- 1 u)) v)))
(+ 1 (* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -2 (/ (* (pow (sqrt -1) 4) (- 1 u)) v))) v)))
(+ 1 (* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1 (/ (+ (* 4/3 (/ (* (pow (sqrt -1) 6) (- 1 u)) v)) (* 2 (* (pow (sqrt -1) 4) (- 1 u)))) v))) v)))
(* v (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))))
(* -1 (* v (- (* -1 (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u))))) (/ 1 v))))
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2)
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2)
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) v))) v)))
(* 2 (* (pow (sqrt -1) 2) (- 1 u)))
(+ (* 1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u))))) (* 1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2)))))) (* 1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ 1 (* 2 (/ (pow (sqrt -1) 2) v)))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow (sqrt -1) 4) v)) (* -2 (pow (sqrt -1) 2))) v)))
(+ 1 (* -1 (/ (+ (* -2 (pow (sqrt -1) 2)) (* -1 (/ (+ (* 4/3 (/ (pow (sqrt -1) 6) v)) (* 2 (pow (sqrt -1) 4))) v))) v)))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	v	@	0	((* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))) (* 2 (* (pow v -1/2) 1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ (* (- 1 u) -2) (+ 1 (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)))) (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)) (+ (* -4 (- 1 u)) 4) (* 1/2 (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (* u v) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (* (+ (* -4 (- 1 u)) 4) 1/2) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
32.0ms	v	@	-inf	((* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))) (* 2 (* (pow v -1/2) 1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ (* (- 1 u) -2) (+ 1 (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)))) (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)) (+ (* -4 (- 1 u)) 4) (* 1/2 (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (* u v) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (* (+ (* -4 (- 1 u)) 4) 1/2) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
26.0ms	v	@	inf	((* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))) (* 2 (* (pow v -1/2) 1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ (* (- 1 u) -2) (+ 1 (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)))) (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)) (+ (* -4 (- 1 u)) 4) (* 1/2 (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (* u v) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (* (+ (* -4 (- 1 u)) 4) 1/2) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
4.0ms	u	@	-inf	((* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))) (* 2 (* (pow v -1/2) 1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ (* (- 1 u) -2) (+ 1 (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)))) (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)) (+ (* -4 (- 1 u)) 4) (* 1/2 (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (* u v) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (* (+ (* -4 (- 1 u)) 4) 1/2) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
4.0ms	u	@	inf	((* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))) (* 2 (* (pow v -1/2) 1/2)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (+ (* (- 1 u) -2) (+ 1 (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)))) (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)) (+ (* -4 (- 1 u)) 4) (* 1/2 (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (* u v) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (* (+ (* -4 (- 1 u)) 4) 1/2) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))

simplify213.0ms (2.2%)

Memory

19.1MiB live, 256.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	3735
1	1732	3459
2	5647	3289
0	8354	3003

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(* 2 (/ u v))
(* u (+ (* -2 (/ u v)) (* 2 (/ 1 v))))
(* 4 u)
1/2
(+ 1/2 (* -1/2 u))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(* u v)
(* 8 u)
(* u (+ 8 (* -24 u)))
(* u (+ 8 (* u (- (* 16 u) 24))))
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)
(* 2 u)
(- (* u (+ 2 (* 2 (/ 1 v)))) 2)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)
16
(+ 16 (* -24 u))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* -2 (/ (pow u 2) v))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))
(* (pow u 2) (- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v))))
(* -1/2 u)
(* u (- (* 1/2 (/ 1 u)) 1/2))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
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(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
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(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(* -1 (* u (- 24 (* 16 (/ 1 u)))))
(/ -2 v)
(sqrt (/ 1 v))
1
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(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
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(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))
(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* v (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))) (pow v 2))
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(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
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(- (* 2 u) 2)
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(- 1 (* 2 (/ 1 v)))
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(/ 2 v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(* 2 (/ (pow (sqrt -1) 2) v))
(* (sqrt (/ 1 v)) (pow (sqrt -1) 2))
(+ 1 (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ 1 (+ (* 1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u))))) (* 1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2)))))) (* 1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
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(* v (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))))
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(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))

Outputs
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
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(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u) (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) u) (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)))) (.f32 (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(exp (/ -2 v))
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(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
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(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
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(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 u #s(literal -1 binary32)) #s(literal 2 binary32)) u #s(literal -1 binary32))
(* 2 (/ u v))
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(* 4 u)
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1/2
#s(literal 1/2 binary32)
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(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/2 binary32))
-2
#s(literal -2 binary32)
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(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
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(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) u) (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 v (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)))) (.f32 (.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -2 binary32))
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(* u v)
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(* u (+ 8 (* -24 u)))
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(* u (+ 8 (* u (- (* 16 u) 24))))
(*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal -24 binary32)) u #s(literal 8 binary32)) u)
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)
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(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)
(-.f32 (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal -4 binary32) (.f32 v v)) (/.f32 #s(literal 2 binary32) v)) u #s(literal 2 binary32)) u (.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)))) #s(literal 2 binary32))
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)
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(* 2 u)
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(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (+.f32 u #s(literal -1 binary32)) #s(literal 2 binary32)) u #s(literal -2 binary32))
16
#s(literal 16 binary32)
(+ 16 (* -24 u))
(fma.f32 #s(literal -24 binary32) u #s(literal 16 binary32))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
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(+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u))))) (* 1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2)))))) (* 1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (-.f32 (.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32)) #s(literal -96 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32)) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))))) v) #s(literal 1/24 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) #s(literal -16 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) (*.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)))))) v)) (neg.f32 v)))
(+ 1 (* 2 (/ (pow (sqrt -1) 2) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow (sqrt -1) 4) v)) (* -2 (pow (sqrt -1) 2))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) v) #s(literal -2 binary32) #s(literal 2 binary32)) v))
(+ 1 (* -1 (/ (+ (* -2 (pow (sqrt -1) 2)) (* -1 (/ (+ (* 4/3 (/ (pow (sqrt -1) 6) v)) (* 2 (pow (sqrt -1) 4))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) v) #s(literal 4/3 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 2 binary32))) v)) v))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))) v) #s(literal 1/6 binary32))) v))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))) #s(literal -1/6 binary32))) v)) v))
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 4/3 binary32) v)) v)) (neg.f32 v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(-.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))) v) #s(literal 1/6 binary32))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(-.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.f32 #s(literal -112 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32))) #s(literal -1/6 binary32))) v)) v))

rewrite192.0ms (2%)

Memory

-16.5MiB live, 264.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	432
0	113	432
1	449	370
2	3835	368
0	10045	355

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 477

Calls

Call 1

Inputs
(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))
(.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
(.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(*.f32 u v)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))))))
(exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))

Outputs
(.f32 (.f32 (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -4 binary32)) (pow.f32 v #s(literal -1/2 binary32))) #s(literal 1/2 binary32))
(.f32 (.f32 (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) #s(literal -2 binary32))
(.f32 (.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32)))) #s(literal 1/2 binary32))
(.f32 (.f32 (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/4 binary32))) (pow.f32 v #s(literal -1/4 binary32)))
(.f32 (.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)))) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -4 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -4 binary32)))
(.f32 (pow.f32 v #s(literal -1/4 binary32)) (.f32 (pow.f32 v #s(literal -1/4 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 (.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 #s(literal -2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))) #s(literal 1/2 binary32))
(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) #s(literal 2 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (-.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(/.f32 (-.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)))
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(pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal 1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
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(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)))) (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)))) (pow.f32 v #s(literal -1/2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
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(exp.f32 (.f32 (log.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (pow.f32 v #s(literal -1/2 binary32)))) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(exp.f32 (.f32 (log.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32)))) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -3/4 binary32)))) (pow.f32 v #s(literal -1/4 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (log.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (pow.f32 v #s(literal -1/2 binary32)))) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp.f32 (.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(expm1.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(.f32 (expm1.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(.f32 (expm1.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1 binary32))) (.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
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(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (-.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(*.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))))
(.f32 (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 64 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))) (.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) #s(literal 64 binary32))) (.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))))
(/.f32 (-.f32 #s(literal 64 binary32) (.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 #s(literal -8 binary32) (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u))))
(/.f32 (neg.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32))) (neg.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32))) (neg.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32))))))
(/.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32)) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))
(/.f32 (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32)) (+.f32 #s(literal 64 binary32) (-.f32 (.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32)))))
(/.f32 (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32)) (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32))))
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(-.f32 (/.f32 (*.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))) (/.f32 #s(literal 64 binary32) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32) #s(literal -8 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32)))) (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -8 binary32))
(+.f32 #s(literal -8 binary32) (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (fma.f32 (.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))

eval109.0ms (1.1%)

Memory: 13.4MiB live, 207.2MiB allocated
Compiler: Compiled 33 832 to 3 449 computations (89.8% saved)

prune87.0ms (0.9%)

Memory

1.4MiB live, 163.4MiB allocated

Pruning

71 alts after pruning (63 fresh and 8 done)

	Pruned	Kept	Total
New	596	34	630
Fresh	5	29	34
Picked	2	3	5
Done	0	5	5
Total	603	71	674

Accuracy

99.7%

Counts

674 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
	6.5%	(+.f32 (.f32 #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v) #s(literal 1 binary32))
	91.7%	(+.f32 #s(literal 1 binary32) (.f32 v (/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))) #s(literal 2 binary32))) (log.f32 (.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))))
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	44.8%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	40.6%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u) (.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	45.8%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	38.9%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (.f32 (neg.f32 (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal -16 binary32) (/.f32 (-.f32 (/.f32 #s(literal 8 binary32) u) #s(literal 24 binary32)) u)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
	6.0%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 (/.f32 u v) v) #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) (.f32 v v))) (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal 2 binary32) v))) u #s(literal -2 binary32)))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	2.7%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (-.f32 (/.f32 #s(literal 8/3 binary32) (.f32 v v)) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) u)) (pow.f32 u #s(literal 3 binary32))))))
	8.9%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) u) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (/.f32 #s(literal 4/3 binary32) (.f32 (.f32 (.f32 u u) v) v))) (/.f32 #s(literal 2 binary32) (.f32 (.f32 u u) v))) (+.f32 (/.f32 (/.f32 #s(literal 4 binary32) (.f32 v v)) u) (/.f32 (/.f32 #s(literal 2 binary32) u) v))) (/.f32 #s(literal 2 binary32) (pow.f32 u #s(literal 3 binary32)))) (pow.f32 u #s(literal 3 binary32))))))
	9.0%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -4 binary32) (.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 4/3 binary32) (.f32 v v)) (/.f32 #s(literal -2 binary32) v))) u)) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (pow.f32 u #s(literal 3 binary32))))))
✓	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) #s(literal 4 binary32)) (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) (.f32 u u))))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
	9.9%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) v))))
✓	9.9%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
	9.9%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
	6.3%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
	7.4%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
	6.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
	9.9%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (+.f32 v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))))) v)))
▶	13.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
	3.3%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
	13.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) -2) (+ 1 (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)))) (.f32 (-.f32 (.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))
✓	6.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

Compiler

Compiled 6 314 to 4 061 computations (35.7% saved)

simplify138.0ms (1.4%)

Memory

25.1MiB live, 177.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff	128	(fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
cost-diff	160	(.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))
cost-diff	3232	(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
cost-diff	0	#s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
cost-diff	0	(log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))
cost-diff	0	(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
cost-diff	0	(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
cost-diff	0	(.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))
cost-diff	0	#s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))
cost-diff	0	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
cost-diff	0	(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
cost-diff	0	#s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
cost-diff	0	#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
cost-diff	0	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))))
cost-diff	64	(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
cost-diff	6432	(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	864
0	154	859
1	282	849
2	625	752
3	1740	708
4	5619	703
0	8396	656

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))))
v
(log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))
u
(.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(pow.f32 v #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
#s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(literal 2 binary32)
u
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
#s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))
(.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
(-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(*.f32 u u)
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))))
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u) v)
(-.f32 #s(literal 1 binary32) u)
u
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
u
#s(literal 3 binary32)
#s(literal -16 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
#s(literal 24 binary32)
#s(literal -8 binary32)
(*.f32 v v)
v
#s(literal 1/6 binary32)
(fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
#s(literal -2 binary32)

Outputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
v
(log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
u
(.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(/.f32 #s(literal -2 binary32) v)
(pow.f32 v #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
#s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(literal 2 binary32)
u
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)))))
#s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))
#s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))))
(.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))
(.f32 (.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)))
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
(-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(*.f32 u u)
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))) v)
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32))))
#s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u) v)
(-.f32 #s(literal 1 binary32) u)
u
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(fma.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v))
(*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) v) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
u
#s(literal 3 binary32)
#s(literal -16 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))
(*.f32 (fma.f32 #s(literal -24 binary32) u #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
(fma.f32 #s(literal -24 binary32) u #s(literal 16 binary32))
#s(literal 24 binary32)
#s(literal -8 binary32)
(*.f32 v v)
v
#s(literal 1/6 binary32)
(fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))
(.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/2 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)
(/.f32 (*.f32 #s(literal 4 binary32) u) v)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(literal -2 binary32)

localize409.0ms (4.2%)

Memory

-11.7MiB live, 299.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	29.470310450759886	#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
accuracy	29.784864581840825	(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
accuracy	29.799500559358098	(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
accuracy	29.96534362215845	(fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
accuracy	0.14453125	(/.f32 (-.f32 #s(literal 1 binary32) u) v)
accuracy	0.30078125	(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))))
accuracy	28.786889543462593	#s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
accuracy	30.228644977003217	(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
accuracy	0.28515625	(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
accuracy	0.4452225781232604	(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
accuracy	1.932582267459423	(.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))
accuracy	27.55492333758229	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
accuracy	0.09441376953688402	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
accuracy	25.548039313662333	(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
accuracy	29.916085375137232	#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
accuracy	30.502214820996688	#s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
accuracy	0.09441376953688402	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
accuracy	0.12230100244472211	(exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
accuracy	0.30078125	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))))
accuracy	0.5498237793053261	(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))

Samples

253.0ms

256×

valid

Compiler

Compiled 1 504 to 197 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-exp: 105.0ms (46% of total)

ival-mult: 46.0ms (20.1% of total)

ival-add: 20.0ms (8.8% of total)

ival-pow: 18.0ms (7.9% of total)

ival-div: 17.0ms (7.4% of total)

ival-log: 10.0ms (4.4% of total)

ival-sub: 5.0ms (2.2% of total)

const: 4.0ms (1.8% of total)

ival-expm1: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series215.0ms (2.2%)

Memory

11.6MiB live, 168.1MiB allocated

Counts

27 → 195

Calls

Call 1

Inputs
(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
#s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
#s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))
(.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u) v)
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))

Outputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(- (* 2 u) 2)
(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(/ -1 (pow u 2))
(/ (- (* u (+ 2 (* 2 (/ 1 v)))) 1) (pow u 2))
(/ (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) (pow u 2))
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(* 8 u)
(* u (+ 8 (* -24 u)))
(* u (+ 8 (* u (- (* 16 u) 24))))
1/2
(+ 1/2 (* -1/2 u))
(- (* u (+ 2 (* 2 (/ 1 v)))) 2)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)
(* 4 u)
(/ 1 (pow u 2))
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2))
(- (+ 1 (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 v)))
(- (+ 1 (+ (* -1 (/ (* u (- (* 2 (/ 1 v)) 2)) v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 v)))
(/ 1 v)
(+ (* -1 (/ u v)) (/ 1 v))
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)
16
(+ 16 (* -24 u))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(* u (* v (- (exp (/ 2 v)) 1)))
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))
(* 2 u)
(* u (- 2 (* 2 (/ 1 u))))
(* -2 (/ (pow u 2) v))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2)))))
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))
(- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v)))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* 16 (pow u 3))
(* (pow u 3) (- 16 (* 24 (/ 1 u))))
(* (pow u 3) (- (+ 16 (/ 8 (pow u 2))) (* 24 (/ 1 u))))
(* -1/2 u)
(* u (- (* 1/2 (/ 1 u)) 1/2))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 2 (pow u 2)))))
(* -1 (/ (+ 2 (* 2 (/ 1 v))) u))
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)
(* -1 (/ (* u (- (* 2 (/ 1 v)) 2)) v))
(* u (- (+ (* -1 (/ (- (* 2 (/ 1 v)) 2) v)) (+ (/ 1 u) (/ 2 (* u (pow v 2))))) (/ 2 (* u v))))
(* -1 (/ u v))
(* u (- (/ 1 (* u v)) (/ 1 v)))
(* 8/3 (/ (pow u 3) (pow v 2)))
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2)))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))
(* -24 u)
(* u (- (* 16 (/ 1 u)) 24))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))
(* -1 (* u (- (* 2 (/ 1 u)) 2)))
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(* (pow u 2) (- (* -1 (/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)) (* 2 (/ 1 v))))
(- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
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(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
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(* -1 (* (pow u 3) (- (* 24 (/ 1 u)) 16)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16)))
(* -1 (* u (- 1/2 (* 1/2 (/ 1 u)))))
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
(* -1 (* u (- (* 2 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))
(* -1 (* u (- (+ (* -1 (/ (- (+ 1 (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 v))) u)) (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 v)))))
(* -1 (* u (- (/ 1 v) (/ 1 (* u v)))))
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* u (- 24 (* 16 (/ 1 u)))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v)
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(/ (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)
(/ -2 (* u v))
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)
(* 2 (/ (- 1 u) (pow v 2)))
(/ (+ (* -2 (* v (- 1 u))) (* 2 (- 1 u))) (pow v 2))
(/ (+ (* 2 (- 1 u)) (* v (+ v (* -2 (- 1 u))))) (pow v 2))
(/ (- 1 u) v)
(* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) (pow v 2)))
(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))
(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* v (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))) (pow v 2))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(* -2 (- 1 u))
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(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (/ 1 v)))
(- (+ (* 2 u) (* 2 (/ u v))) 2)
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2)
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))
(+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v))
(- (* 2 (/ 1 u)) (/ 1 (pow u 2)))
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))
(- 1 (* 2 (/ 1 v)))
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(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(/ (- (/ 1 u) 2) u)
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) (pow v 2))) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(* 2 (/ (pow (sqrt -1) 2) v))
(+ 1 (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ 1 (+ (* 1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
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(* 2 (* (pow (sqrt -1) 2) (- 1 u)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2)))))) (* 1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(* v (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))))
(* -1 (* v (- (* -1 (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u))))) (/ 1 v))))
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(+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))))
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(* 2 (/ (* (pow (sqrt -1) 2) (- 1 u)) v))
(* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v))) v))
(* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v)) (* 1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v))) v))
(* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v)) (* 1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))))) v)) (* 1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v))) v))
(+ 1 (* 2 (/ (pow (sqrt -1) 2) v)))
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(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))

Calls

6 calls:

Time	Variable		Point	Expression
117.0ms	v	@	0	((* (pow v -1/2) (* -2 (pow v -1/2))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2))))))))) (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))) (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+ (* 2 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* 1 (* (- 1 u) 1/2)) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (+ (* -4 (- 1 u)) 4) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))) (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (+ (* (/ (- 1 u) v) (+ (/ 2 v) -2)) 1) (/ (- 1 u) v) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2))) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
53.0ms	v	@	inf	((* (pow v -1/2) (* -2 (pow v -1/2))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2))))))))) (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))) (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+ (* 2 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* 1 (* (- 1 u) 1/2)) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (+ (* -4 (- 1 u)) 4) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))) (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (+ (* (/ (- 1 u) v) (+ (/ 2 v) -2)) 1) (/ (- 1 u) v) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2))) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
28.0ms	v	@	-inf	((* (pow v -1/2) (* -2 (pow v -1/2))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2))))))))) (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))) (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+ (* 2 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* 1 (* (- 1 u) 1/2)) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (+ (* -4 (- 1 u)) 4) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))) (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (+ (* (/ (- 1 u) v) (+ (/ 2 v) -2)) 1) (/ (- 1 u) v) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2))) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
4.0ms	u	@	-inf	((* (pow v -1/2) (* -2 (pow v -1/2))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2))))))))) (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))) (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+ (* 2 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* 1 (* (- 1 u) 1/2)) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (+ (* -4 (- 1 u)) 4) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))) (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (+ (* (/ (- 1 u) v) (+ (/ 2 v) -2)) 1) (/ (- 1 u) v) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2))) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
4.0ms	u	@	inf	((* (pow v -1/2) (* -2 (pow v -1/2))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2))))))))) (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))) (* v (log (+ u (* (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))))) (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+ (* 2 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))))) (* v (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))))) (log (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2))))))) (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* 1 (* (- 1 u) 1/2)) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (+ (* -4 (- 1 u)) 4) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))) (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (+ (* (/ (- 1 u) v) (+ (/ 2 v) -2)) 1) (/ (- 1 u) v) (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2))) (+ (* 24 (- 1 u)) -8) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))

simplify193.0ms (2%)

Memory

15.4MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	750	5090
1	2161	4688
2	6980	4645
0	8125	4293

Stop Event

1×	iter limit
1×	node limit

Counts

195 → 195

Calls

Call 1

Inputs
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(- (* 2 u) 2)
(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(/ -1 (pow u 2))
(/ (- (* u (+ 2 (* 2 (/ 1 v)))) 1) (pow u 2))
(/ (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) (pow u 2))
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(* 8 u)
(* u (+ 8 (* -24 u)))
(* u (+ 8 (* u (- (* 16 u) 24))))
1/2
(+ 1/2 (* -1/2 u))
(- (* u (+ 2 (* 2 (/ 1 v)))) 2)
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)
(* 4 u)
(/ 1 (pow u 2))
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2))
(- (+ 1 (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 v)))
(- (+ 1 (+ (* -1 (/ (* u (- (* 2 (/ 1 v)) 2)) v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 v)))
(/ 1 v)
(+ (* -1 (/ u v)) (/ 1 v))
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)
16
(+ 16 (* -24 u))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(* u (* v (- (exp (/ 2 v)) 1)))
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))
(* 2 u)
(* u (- 2 (* 2 (/ 1 u))))
(* -2 (/ (pow u 2) v))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
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(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v)))
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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(* 16 (pow u 3))
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(* -1 (/ (+ 2 (* 2 (/ 1 v))) u))
(/ (+ (* -1 (+ 2 (* 2 (/ 1 v)))) (/ 1 u)) u)
(* -1 (/ (* u (- (* 2 (/ 1 v)) 2)) v))
(* u (- (+ (* -1 (/ (- (* 2 (/ 1 v)) 2) v)) (+ (/ 1 u) (/ 2 (* u (pow v 2))))) (/ 2 (* u v))))
(* -1 (/ u v))
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(* 8/3 (/ (pow u 3) (pow v 2)))
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(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2))))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 8/3 (/ 1 (pow v 2))) (/ 2 (pow u 2))))) (+ (* 2 (/ 1 (pow u 3))) (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))))))
(* -24 u)
(* u (- (* 16 (/ 1 u)) 24))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
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(- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v)))
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(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(* -1 (* (pow u 3) (- (* 24 (/ 1 u)) 16)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 8 (/ 1 u)) 24) u)) 16)))
(* -1 (* u (- 1/2 (* 1/2 (/ 1 u)))))
(* (pow u 2) (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
(* -1 (* u (- (* 2 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))
(* -1 (* u (- (+ (* -1 (/ (- (+ 1 (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 v))) u)) (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 v)))))
(* -1 (* u (- (/ 1 v) (/ 1 (* u v)))))
(* -1 (* (pow u 3) (- (+ (/ 2 (* u v)) (/ 4 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (+ (/ 4/3 (* u (pow v 2))) (/ 2 (* u v)))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) u)) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 2))))))
(* -1 (* u (- 24 (* 16 (/ 1 u)))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v)
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(/ (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) v)
(/ -2 (* u v))
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)
(* 2 (/ (- 1 u) (pow v 2)))
(/ (+ (* -2 (* v (- 1 u))) (* 2 (- 1 u))) (pow v 2))
(/ (+ (* 2 (- 1 u)) (* v (+ v (* -2 (- 1 u))))) (pow v 2))
(/ (- 1 u) v)
(* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) (pow v 2)))
(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* 1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u))))) (pow v 2))
(/ (+ (* 1/6 (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8)))) (* v (+ (* -2 (* v (- 1 u))) (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))))) (pow v 2))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* v (+ (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (/ 1 v)))
(- (+ (* 2 u) (* 2 (/ u v))) 2)
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2)
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))
(+ (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))) (/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v))
(- (* 2 (/ 1 u)) (/ 1 (pow u 2)))
(- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (+ (* 2 (/ 1 v)) (/ 1 (pow u 2))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)))
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(/ (- (/ 1 u) 2) u)
(- (/ 1 (pow u 2)) (+ (* 2 (/ 1 u)) (* 2 (/ 1 (* u v)))))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) (pow v 2))) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(* 2 (/ (pow (sqrt -1) 2) v))
(+ 1 (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ 1 (+ (* 1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u))))) (* 1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2)))))) (* 1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u)))))
(+ 1 (* 2 (/ (* (pow (sqrt -1) 2) (- 1 u)) v)))
(+ 1 (* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -2 (/ (* (pow (sqrt -1) 4) (- 1 u)) v))) v)))
(+ 1 (* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1 (/ (+ (* 4/3 (/ (* (pow (sqrt -1) 6) (- 1 u)) v)) (* 2 (* (pow (sqrt -1) 4) (- 1 u)))) v))) v)))
(* 2 (* (pow (sqrt -1) 2) (- 1 u)))
(+ (* 1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ (* -1 (/ (+ (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u))))) (* 1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2)))))) (* 1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v))) v)) (* -1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v)) (* 2 (* (pow (sqrt -1) 2) (- 1 u))))
(* v (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u)))))
(* -1 (* v (- (* -1 (log (+ u (* (exp (* 2 (/ (pow (sqrt -1) 2) v))) (- 1 u))))) (/ 1 v))))
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2)
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2)
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(+ (* -1 (/ (* (pow u 2) (- 2 (* 2 (/ 1 u)))) v)) (* (pow u 2) (- (* 2 (/ 1 u)) (/ 1 (pow u 2)))))
(- (+ (* -1 (/ (- 2 (* 2 (/ 1 u))) v)) (* 2 (/ 1 u))) (/ 1 (pow u 2)))
(* 2 (/ (* (pow (sqrt -1) 2) (- 1 u)) v))
(* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1/2 (/ (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))) v))) v))
(* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1 (/ (+ (* -1/6 (/ (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))) v)) (* 1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v))) v))
(* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v)) (* 1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))))) v)) (* 1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v))) v))
(+ 1 (* 2 (/ (pow (sqrt -1) 2) v)))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow (sqrt -1) 4) v)) (* -2 (pow (sqrt -1) 2))) v)))
(+ 1 (* -1 (/ (+ (* -2 (pow (sqrt -1) 2)) (* -1 (/ (+ (* 4/3 (/ (pow (sqrt -1) 6) v)) (* 2 (pow (sqrt -1) 4))) v))) v)))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))

Outputs
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 u v) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -2 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 u v) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -2 binary32))
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))
(- (* 2 u) 2)
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(- (* u (+ 2 (* 2 (/ 1 v)))) 1)
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1)
(fma.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) u #s(literal -1 binary32))
(/ -1 (pow u 2))
(/.f32 (/.f32 #s(literal -1 binary32) u) u)
(/ (- (* u (+ 2 (* 2 (/ 1 v)))) 1) (pow u 2))
(/.f32 (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)) u) u)
(/ (- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 1) (pow u 2))
(/.f32 (/.f32 (fma.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) u #s(literal -1 binary32)) u) u)
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(fma.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) u) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v))) #s(literal -1/2 binary32))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v))
(* 8 u)
(*.f32 #s(literal 8 binary32) u)
(* u (+ 8 (* -24 u)))
(*.f32 (fma.f32 #s(literal -24 binary32) u #s(literal 8 binary32)) u)
(* u (+ 8 (* u (- (* 16 u) 24))))
(*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal -24 binary32)) u #s(literal 8 binary32)) u)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/2 u))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/2 binary32))
(- (* u (+ 2 (* 2 (/ 1 v)))) 2)
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))
(- (* u (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))) 2)
(fma.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) u #s(literal -2 binary32))
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ (+ 1 (* -1 (* u (+ 2 (* 2 (/ 1 v)))))) (pow u 2))
(/.f32 (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) u #s(literal 1 binary32)) (*.f32 u u))
(- (+ 1 (* 2 (/ 1 (pow v 2)))) (* 2 (/ 1 v)))
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v) #s(literal 1 binary32))
(- (+ 1 (+ (* -1 (/ (* u (- (* 2 (/ 1 v)) 2)) v)) (* 2 (/ 1 (pow v 2))))) (* 2 (/ 1 v)))
(+.f32 (fma.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)) (/.f32 u v) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) #s(literal 1 binary32))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (* -1 (/ u v)) (/ 1 v))
(/.f32 (-.f32 #s(literal 1 binary32) u) v)
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v))))) 2)
(fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)) u #s(literal -2 binary32))
(- (* u (+ 2 (+ (* -1 (* u (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))) (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))) 2)
(fma.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (.f32 v v))) u #s(literal 2 binary32)) (/.f32 #s(literal 4/3 binary32) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)) u #s(literal -2 binary32))
(- (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (+ (* 2 (/ 1 v)) (* u (- (* 8/3 (/ u (pow v 2))) (+ (* 2 (/ 1 v)) (* 4 (/ 1 (pow v 2)))))))))) 2)
(fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 (/.f32 u v) v) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (.f32 v v))) u (/.f32 #s(literal 2 binary32) v))) u #s(literal -2 binary32))
16
#s(literal 16 binary32)
(+ 16 (* -24 u))
(fma.f32 #s(literal -24 binary32) u #s(literal 16 binary32))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))
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(* -1 (/ (+ (* -2 (* (pow (sqrt -1) 2) (- 1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (* (pow (sqrt -1) 8) (pow (- 1 u) 4))) (+ (* -64 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* -48 (* (pow (sqrt -1) 8) (pow (- 1 u) 2))) (+ (* 16 (* (pow (sqrt -1) 8) (- 1 u))) (* 192 (* (pow (sqrt -1) 8) (pow (- 1 u) 3))))))) v)) (* 1/6 (+ (* -16 (* (pow (sqrt -1) 6) (pow (- 1 u) 3))) (+ (* -8 (* (pow (sqrt -1) 6) (- 1 u))) (* 24 (* (pow (sqrt -1) 6) (pow (- 1 u) 2))))))) v)) (* 1/2 (+ (* -4 (* (pow (sqrt -1) 4) (pow (- 1 u) 2))) (* 4 (* (pow (sqrt -1) 4) (- 1 u)))))) v))) v))
(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (-.f32 (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal -2 binary32) (.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32)) #s(literal -96 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal -112 binary32) (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32)) #s(literal 192 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32)) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u))))) v) (.f32 (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) #s(literal -16 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) #s(literal 24 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32))) v)) (neg.f32 v))) (neg.f32 v))
(+ 1 (* 2 (/ (pow (sqrt -1) 2) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow (sqrt -1) 4) v)) (* -2 (pow (sqrt -1) 2))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) v) #s(literal -2 binary32) #s(literal 2 binary32)) v))
(+ 1 (* -1 (/ (+ (* -2 (pow (sqrt -1) 2)) (* -1 (/ (+ (* 4/3 (/ (pow (sqrt -1) 6) v)) (* 2 (pow (sqrt -1) 4))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) v) #s(literal 4/3 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 2 binary32))) v)) v))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* -1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (* (- 1 u) (- (* 24 (- 1 u)) 8))) v))) v)))
(-.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32))) v) #s(literal -1/6 binary32))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(-.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))) v))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(-.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -112 binary32) (fma.f32 #s(literal 192 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal 1/24 binary32) (.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -24 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 16 binary32) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32))) v)) v))

rewrite528.0ms (5.5%)

Memory

-182.9MiB live, 219.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	634
0	152	626
1	618	542
2	5632	542
0	8498	517

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 545

Calls

Call 1

Inputs
(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
(+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
#s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
#s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))
(.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))))
(.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u) v)
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))

Outputs
(.f32 (.f32 (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -4 binary32)) (pow.f32 v #s(literal -1/2 binary32))) #s(literal 1/2 binary32))
(.f32 (.f32 (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) #s(literal -2 binary32))
(.f32 (.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32)))) #s(literal 1/2 binary32))
(.f32 (.f32 (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/4 binary32))) (pow.f32 v #s(literal -1/4 binary32)))
(.f32 (.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32)))) #s(literal 2 binary32))
(.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -4 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -4 binary32)))
(.f32 (pow.f32 v #s(literal -1/4 binary32)) (.f32 (pow.f32 v #s(literal -1/4 binary32)) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -2 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))) (*.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(.f32 #s(literal -2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -1/2 binary32)))))
(*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) v))
(.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 v #s(literal -1/2 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 v #s(literal 1/2 binary32)))
(/.f32 #s(literal 2 binary32) (neg.f32 v))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 v #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal -2 binary32) (neg.f32 (neg.f32 v)))
(/.f32 #s(literal -2 binary32) v)
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) v))
(pow.f32 (/.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (*.f32 v #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 v #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 2 binary32) v))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(.f32 (+.f32 (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (-.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)) #s(literal 1 binary32))))
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(/.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32)) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))
(/.f32 (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32)) (+.f32 #s(literal 64 binary32) (-.f32 (.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32)))))
(/.f32 (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32)) (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32)))) (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32))))
(-.f32 (/.f32 (*.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))) (/.f32 #s(literal 64 binary32) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))))
(fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32) #s(literal -8 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -64 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 576 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 64 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -192 binary32)))) (fma.f32 #s(literal 13824 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -512 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -8 binary32))
(+.f32 #s(literal -8 binary32) (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)))
#s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (fma.f32 (.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))

eval115.0ms (1.2%)

Memory: 1.4MiB live, 203.7MiB allocated
Compiler: Compiled 42 610 to 4 153 computations (90.3% saved)

prune248.0ms (2.6%)

Memory

13.8MiB live, 211.9MiB allocated

Pruning

116 alts after pruning (106 fresh and 10 done)

	Pruned	Kept	Total
New	670	56	726
Fresh	8	50	58
Picked	1	4	5
Done	2	6	8
Total	681	116	797

Accuracy

99.7%

Counts

797 → 116

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.8%	(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
	86.8%	(fma.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))) #s(literal 1 binary32))
	91.1%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
	91.4%	(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
	91.4%	(+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))
	86.8%	(+.f32 (.f32 (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))) v) #s(literal 1 binary32))
	6.5%	(+.f32 (.f32 #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v) #s(literal 1 binary32))
	6.0%	(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
	5.3%	(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (.f32 u u))) (log.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)))))
	93.9%	(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (-.f32 u (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
	99.3%	(+.f32 #s(literal 1 binary32) (.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 u (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))))))
	92.6%	(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
	99.3%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
✓	99.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
✓	99.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
	99.3%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (.f32 (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))))))
	94.0%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))
✓	42.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (pow v -1/2) (* -2 (pow v -1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))))))
	83.4%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) v) (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal 2 binary32)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32)))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (.f32 v (+.f32 u #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
✓	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) v)) (+.f32 u #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 u v))) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1 binary32) v) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32)))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 #s(approx (/ (- 1 u) v) (/.f32 (neg.f32 u) v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 #s(approx (/ (- 1 u) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 #s(approx (/ (- 1 u) v) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) v) (/.f32 #s(literal 1 binary32) v)) u)) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 #s(approx (/ (- 1 u) v) (*.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) u) v)))) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))))))
	86.8%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) (fma.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)) #s(literal 1 binary32))))))
	22.7%	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (* (* (pow v -1/2) -2) (* 2 (* (pow v -1/2) 1/2)))))) #s(approx (+ (* (/ (- 1 u) v) (+ (/ 2 v) -2)) 1) (/.f32 (fma.f32 v v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -2 binary32) v #s(literal 2 binary32)))) (.f32 v v)))))))
	3.4%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) u (/.f32 #s(literal -2 binary32) v)))))
	5.9%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) #s(literal 2 binary32)) v)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
	40.3%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) v)) (neg.f32 v)))))
	7.4%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
	5.9%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
	12.0%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v))))))
	10.7%	(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
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	38.1%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (.f32 (neg.f32 (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal -16 binary32) (/.f32 (-.f32 (/.f32 #s(literal 8 binary32) u) #s(literal 24 binary32)) u)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	6.0%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 (/.f32 (/.f32 u v) v) #s(literal 8/3 binary32) (/.f32 #s(literal -4 binary32) (.f32 v v))) (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal 2 binary32) v))) u #s(literal -2 binary32)))))
	7.4%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
	2.7%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (-.f32 (/.f32 #s(literal 8/3 binary32) (.f32 v v)) (/.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) u)) (pow.f32 u #s(literal 3 binary32))))))
	8.9%	(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) u) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (/.f32 #s(literal 4/3 binary32) (.f32 (.f32 (.f32 u u) v) v))) (/.f32 #s(literal 2 binary32) (.f32 (.f32 u u) v))) (+.f32 (/.f32 (/.f32 #s(literal 4 binary32) (.f32 v v)) u) (/.f32 (/.f32 #s(literal 2 binary32) u) v))) (/.f32 #s(literal 2 binary32) (pow.f32 u #s(literal 3 binary32)))) (pow.f32 u #s(literal 3 binary32))))))
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✓	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
✓	86.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
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	6.4%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
	7.4%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
	13.7%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (/.f32 #s(literal -2 binary32) v) (.f32 u u) (.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) u) (*.f32 u u)))))
	6.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
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	13.9%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (.f32 (-.f32 (.f32 u #s(literal -2 binary32)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (.f32 u u)) (*.f32 u v))))
	13.7%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v) (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) u)) (.f32 u u))))
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✓	13.8%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
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	7.4%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 1 binary32) (.f32 u u)))) (*.f32 u u))))
	11.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
✓	6.0%	#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

Compiler

Compiled 12 361 to 4 632 computations (62.5% saved)

regimes202.0ms (2.1%)

Memory

-1.3MiB live, 225.2MiB allocated

Counts

140 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)))))
(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) (.f32 u u))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 4 binary32)) v) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u) (.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (.f32 (neg.f32 (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal -16 binary32) (/.f32 (-.f32 (/.f32 #s(literal 8 binary32) u) #s(literal 24 binary32)) u)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (.f32 (-.f32 (.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v) (/.f32 #s(literal 2 binary32) u)) (/.f32 (/.f32 #s(literal 2 binary32) u) u)) (.f32 u u))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2))) (.f32 (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (.f32 v v))) (/.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (.f32 v v))) u)) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (pow.f32 u #s(literal 3 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -4 binary32) (.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 4/3 binary32) (.f32 v v)) (/.f32 #s(literal -2 binary32) v))) u)) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (pow.f32 u #s(literal 3 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) u) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (/.f32 #s(literal 4/3 binary32) (.f32 (.f32 (.f32 u u) v) v))) (/.f32 #s(literal 2 binary32) (.f32 (.f32 u u) v))) (+.f32 (/.f32 (/.f32 #s(literal 4 binary32) (.f32 v v)) u) (/.f32 (/.f32 #s(literal 2 binary32) u) v))) (/.f32 #s(literal 2 binary32) (pow.f32 u #s(literal 3 binary32)))) (pow.f32 u #s(literal 3 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 #s(literal -2 binary32) (pow.f32 v #s(literal -1/2 binary32))))))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))))))
(+.f32 #s(literal 1 binary32) (.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 u (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (.f32 (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))))
(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (log.f32 (-.f32 u (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (.f32 u u))) (log.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 v (-.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))))))
(+.f32 #s(literal 1 binary32) (.f32 v (/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log.f32 (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))))) #s(literal 2 binary32))) (log.f32 (.f32 (-.f32 (.f32 u u) (pow.f32 (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 u (exp.f32 (+.f32 (log1p.f32 u) (/.f32 #s(literal -2 binary32) v)))))))))

Outputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Calls

4 calls:

80.0ms	u
40.0ms	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
39.0ms	v
35.0ms	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Results

Accuracy	Segments	Branch
99.4%	1	`u`
99.4%	1	`v`
99.4%	1	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
99.4%	1	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 30 to 27 computations (10% saved)

regimes174.0ms (1.8%)

Memory

13.6MiB live, 258.6MiB allocated

Counts

126 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)))))
(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 u u) #s(literal 4 binary32))) (-.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u))))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u) (.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (.f32 (neg.f32 (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal -16 binary32) (/.f32 (-.f32 (/.f32 #s(literal 8 binary32) u) #s(literal 24 binary32)) u)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (.f32 (-.f32 (.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v) (/.f32 #s(literal 2 binary32) u)) (/.f32 (/.f32 #s(literal 2 binary32) u) u)) (.f32 u u))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2))) (.f32 (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (.f32 v v))) (/.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (.f32 v v))) u)) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (pow.f32 u #s(literal 3 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (.f32 (+.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -4 binary32) (.f32 v v)) (/.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 4/3 binary32) (.f32 v v)) (/.f32 #s(literal -2 binary32) v))) u)) u) (/.f32 #s(literal 8/3 binary32) (.f32 v v))) (pow.f32 u #s(literal 3 binary32))))))

Outputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))

Calls

4 calls:

50.0ms	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
43.0ms	u
42.0ms	v
33.0ms	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Results

Accuracy	Segments	Branch
94.0%	1	`u`
94.0%	1	`v`
94.0%	1	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
94.0%	1	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 30 to 27 computations (10% saved)

regimes160.0ms (1.7%)

Memory

-24.7MiB live, 253.2MiB allocated

Counts

123 → 2

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)))))
(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 u u) #s(literal 4 binary32))) (-.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 1 binary32) (.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (+.f32 v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))
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(+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))

Outputs

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)))) (*.f32 u u))))

(+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))

Calls

4 calls:

45.0ms	v
35.0ms	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
35.0ms	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
34.0ms	u

Results

Accuracy	Segments	Branch
91.4%	1	`u`
95.2%	2	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
95.2%	2	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`
95.2%	2	`v`

Compiler

Compiled 30 to 27 computations (10% saved)

regimes243.0ms (2.5%)

Memory

29.0MiB live, 276.5MiB allocated

Counts

121 → 2

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)))))
(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 u u) #s(literal 4 binary32))) (-.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 1 binary32) (.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (+.f32 v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)))) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (/.f32 (/.f32 u v) v) (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal -2 binary32) v)) (.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (/.f32 (-.f32 (.f32 u #s(literal -2 binary32)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (.f32 u v)) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (.f32 (-.f32 (.f32 u #s(literal -2 binary32)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (.f32 u u)) (*.f32 u v))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal 2 binary32)) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) -2) (+ 1 (* (* 1/2 (- 1 u)) (/ (+ (* -4 (- 1 u)) 4) v)))) (.f32 (-.f32 (.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v) (/.f32 #s(literal 2 binary32) u)) (/.f32 #s(literal 1 binary32) (.f32 u u))) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v) (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) u)) (.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (/.f32 #s(literal -2 binary32) v) (.f32 u u) (.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) u) (*.f32 u u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 4/3 binary32) v)) v)) (neg.f32 v))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) #s(literal 2 binary32)) v)) (neg.f32 v))) u (/.f32 #s(literal -2 binary32) v)))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ ( 24 (- 1 u)) -8) (.f32 #s(literal -24 binary32) u)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (.f32 (*.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) #s(literal 1 binary32) (.f32 (*.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32))) (/.f32 (+.f32 (.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 4 binary32)) v) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u) (.f32 (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal -16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (.f32 (neg.f32 (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal -16 binary32) (/.f32 (-.f32 (/.f32 #s(literal 8 binary32) u) #s(literal 24 binary32)) u)))) (.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u))) (.f32 (-.f32 (.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))) (.f32 (/.f32 v (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/2 binary32)))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (.f32 v v)) #s(literal 1/6 binary32) #s(approx (+ (* (* 1 (* (- 1 u) 1/2)) (/ (+ (* -4 (- 1 u)) 4) v)) (* (- 1 u) -2)) (.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v) (/.f32 #s(literal 2 binary32) u)) (/.f32 (/.f32 #s(literal 2 binary32) u) u)) (.f32 u u))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))

Outputs

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)))) (*.f32 u u))))

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))

Calls

4 calls:

133.0ms	u
37.0ms	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
34.0ms	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
31.0ms	v

Results

Accuracy	Segments	Branch
86.8%	1	`u`
90.6%	2	`v`
90.7%	2	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
90.7%	2	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 30 to 27 computations (10% saved)

regimes35.0ms (0.4%)

Memory

-1.8MiB live, 36.5MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)))))
(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 u u) #s(literal 4 binary32))) (-.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 1 binary32) (.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (+.f32 v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 u v) (*.f32 #s(literal 2 binary32) u)) v)) (neg.f32 v))))))

Outputs

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))

Calls

2 calls:

25.0ms

(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))

9.0ms

(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Results

Accuracy	Segments	Branch
90.7%	2	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
90.7%	2	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes24.0ms (0.2%)

Memory

2.5MiB live, 43.8MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)))))
(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 u u) #s(literal 4 binary32))) (-.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 1 binary32) (.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (+.f32 v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))

Outputs

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))

Calls

2 calls:

14.0ms

(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))

8.0ms

(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Results

Accuracy	Segments	Branch
90.7%	2	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
90.7%	2	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes43.0ms (0.4%)

Memory

-32.0MiB live, 43.3MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32)))))
(fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) #s(approx (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)) (.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 u u) #s(literal 4 binary32))) (-.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) (fma.f32 (*.f32 u v) #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 v #s(approx (log (+ u ( (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 #s(approx (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal 1 binary32) (.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (+.f32 v (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32))))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)) u #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) u)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (/ (+ (* (pow (- 1 u) 3) -16) (* (- 1 u) (+ (* 24 (- 1 u)) -8))) (* v v)) 1/6) (+ (* (* (+ (* -4 (- 1 u)) 4) 1/2) (/ (- 1 u) v)) (* -2 (- 1 u)))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))

Outputs

(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))

#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))

Calls

3 calls:

9.0ms

(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))

9.0ms

8.0ms

(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Results

Accuracy	Segments	Branch
86.8%	1	`v`
90.1%	2	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
90.1%	2	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (pow (pow (exp -2) (pow v -1/2)) (pow v -1/2)))))) #s(approx (+ (* (* u v) (- (exp (/ 2 v)) 1)) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))

Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))

Calls

2 calls:

3.0ms

(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))

2.0ms

(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))

Results

Accuracy	Segments	Branch
86.8%	1	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
86.8%	1	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes5.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

Calls

4 calls:

1.0ms	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
1.0ms	(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
1.0ms	v
1.0ms	u

Results

Accuracy	Segments	Branch
6.0%	1	`u`
6.0%	1	`v`
6.0%	1	`(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))`
6.0%	1	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))`

Compiler

Compiled 30 to 27 computations (10% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7741146087646484	-0.7478858232498169

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7741146087646484	-0.7478858232498169

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7741146087646484	-0.7478858232498169

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7741146087646484	-0.7478858232498169

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0972626209259033	-0.7741146087646484

Compiler

Compiled 18 to 18 computations (0% saved)

simplify87.0ms (0.9%)

Memory

-21.6MiB live, 63.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	519
1	122	519
2	161	519
3	206	517
4	267	517
5	342	517
6	426	517
7	611	517
8	806	517
9	941	517
10	1046	517
11	1104	517
12	1131	517
13	1153	517
14	1178	517
15	1194	517
16	1203	517
17	1210	517
18	1214	517
19	1215	517

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)))) (.f32 u u)))) (+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)))) (.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) #s(approx (+ 1 ( v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

Outputs
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (.f32 (log.f32 (-.f32 u (.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 v (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))
(+.f32 (.f32 (log.f32 #s(approx (+ u ( (- 1 u) (exp (/ -2 v)))) (*.f32 (-.f32 (neg.f32 #s(literal -1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) v) #s(literal 1 binary32))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)))) (.f32 u u)))) (+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (log.f32 (-.f32 u (.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) u)))))) (+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)))) (.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (log.f32 (-.f32 u (.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))) u)))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (log.f32 (-.f32 u (.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (log.f32 (-.f32 u (.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -3/4 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (.f32 (.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) #s(approx (+ 1 ( v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (log.f32 (-.f32 u (.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) (+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) #s(approx (+ 1 ( v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

soundness1.1s (11.5%)

Memory

16.4MiB live, 927.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	2677
1	935	2469
2	3028	2361
0	8320	2107
0	49	351
0	81	351
1	305	321
2	2506	321
0	8472	303
0	97	634
0	152	626
1	618	542
2	5632	542
0	8498	517
0	12	53
0	20	53
1	69	53
2	466	53
3	4880	53
0	8719	48
0	507	3264
1	1416	3038
2	4319	2894
0	8403	2606
0	69	432
0	113	432
1	449	370
2	3835	368
0	10045	355
0	750	5090
1	2161	4688
2	6980	4645
0	8125	4293

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 895 to 343 computations (61.7% saved)

preprocess131.0ms (1.4%)

Memory: 8.2MiB live, 104.7MiB allocated
Compiler: Compiled 1 064 to 200 computations (81.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	71
0	20	71
1	28	71
2	38	71
3	61	71
4	117	71
5	164	71
6	243	71
7	384	71
8	504	71
9	546	71
10	547	71
0	547	66

Iter	Nodes	Cost
0	12	71
0	20	71
1	28	71
2	38	71
3	61	71
4	117	71
5	164	71
6	243	71
7	384	71
8	504	71
9	546	71
10	547	71
0	547	66

start0.0ms (0%)

analyze78.0ms (0.8%)

sample2.2s (22.9%)

explain392.0ms (4.1%)

preprocess105.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.2%)

localize32.0ms (0.3%)

series62.0ms (0.6%)

simplify161.0ms (1.7%)

rewrite176.0ms (1.8%)

eval43.0ms (0.4%)

prune17.0ms (0.2%)

simplify232.0ms (2.4%)

localize165.0ms (1.7%)

series195.0ms (2%)

simplify198.0ms (2%)

rewrite166.0ms (1.7%)

eval95.0ms (1%)

prune45.0ms (0.5%)

simplify217.0ms (2.2%)

localize268.0ms (2.8%)

series113.0ms (1.2%)

simplify213.0ms (2.2%)

rewrite192.0ms (2%)

eval109.0ms (1.1%)

prune87.0ms (0.9%)

simplify138.0ms (1.4%)

localize409.0ms (4.2%)

series215.0ms (2.2%)

simplify193.0ms (2%)

rewrite528.0ms (5.5%)

eval115.0ms (1.2%)

prune248.0ms (2.6%)

regimes202.0ms (2.1%)

regimes174.0ms (1.8%)

regimes160.0ms (1.7%)

regimes243.0ms (2.5%)

regimes35.0ms (0.4%)

regimes24.0ms (0.2%)

regimes43.0ms (0.4%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify87.0ms (0.9%)

soundness1.1s (11.5%)

preprocess131.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	71
0	20	71
1	28	71
2	38	71
3	61	71
4	117	71
5	164	71
6	243	71
7	384	71
8	504	71
9	546	71
10	547	71
0	547	66