Metrics for Logarithmic Transform

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze282.0ms (2.2%)

Memory

47.9MiB live, 361.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	6
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	7
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	8
39.3%	34.3%	53%	0.1%	0%	12.5%	0%	9
52.7%	45.2%	40.6%	0.1%	0%	14%	0%	10
52.7%	45.2%	40.6%	0.1%	0%	14%	0%	11
56%	47.6%	37.4%	0.1%	0%	14.8%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.2s (24.8%)

Memory

46.4MiB live, 3 902.6MiB allocated

Samples

1.5s	4 612×	1	valid
436.0ms	3 644×	0	valid
326.0ms	1 560×	1	exit
275.0ms	653×	1	invalid
67.0ms	641×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-pow: 936.0ms (45% of total)

ival-e: 366.0ms (17.6% of total)

ival-mult: 273.0ms (13.1% of total)

adjust: 180.0ms (8.6% of total)

ival-log1p: 175.0ms (8.4% of total)

ival-sub: 129.0ms (6.2% of total)

ival-true: 9.0ms (0.4% of total)

exact: 8.0ms (0.4% of total)

ival-assert: 5.0ms (0.2% of total)

Bogosity

explain246.0ms (1.9%)

Memory

41.2MiB live, 369.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
179	1	(-3.884200538989053e-289 -0.008777839486019106 -3.4497411032851487e+167)	0	-	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
154	44	(-2.9004952440450504e-80 1.7587000171110844e-250 9.782729309103681e-168)	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
18	0	-	3	(-4.456767693985176e+218 1.0688388702025731e-32 -3.523954059110156e-291)	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
0	0	-	0	-	`(pow.f64 (E.f64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`y`
0	0	-	0	-	`x`
0	0	-	0	-	`(E.f64)`
0	0	-	0	-	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`	sensitivity	198
`-.f64`	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`	cancellation	46
`*.f64`	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`	*nu**	15

Confusion

	Predicted +	Predicted -
+	169	0
-	66	21

Precision

0.7191489361702128

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	169	0	0
-	66	0	21

Precision?

0.7191489361702128

Recall?

1.0

Freqs

test

number	freq
0	21
1	211
2	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

99.0ms	350×	1	valid
16.0ms	162×	0	valid

Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-pow: 38.0ms (42.4% of total)

ival-e: 16.0ms (17.9% of total)

ival-mult: 10.0ms (11.2% of total)

adjust: 9.0ms (10.1% of total)

ival-log1p: 8.0ms (8.9% of total)

ival-sub: 4.0ms (4.5% of total)

ival-add: 4.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess185.0ms (1.4%)

Memory

0.9MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	117
1	93	113
2	145	113
3	233	113
4	291	113
5	409	113
6	1312	113
7	4852	113
8	7215	113
0	11	12
0	18	12
1	27	12
2	38	12
3	58	12
4	88	12
5	183	12
6	1077	12
7	4612	12
8	6926	12
0	8436	10

Stop Event

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

Calls

Call 1

Inputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Outputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (log1p.f64 (.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c)

Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.3%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify168.0ms (1.3%)

Memory

-16.5MiB live, 166.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
cost-diff	0	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
cost-diff	1	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	18	51
1	27	51
2	38	51
3	58	51
4	88	51
5	183	51
6	1077	51
7	4612	51
8	6926	51
0	8436	46

Stop Event

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

Calls

Call 1

Inputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y

Outputs
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (log1p.f64 (.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c)
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(log1p.f64 (*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(fma.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y

localize82.0ms (0.6%)

Memory

5.9MiB live, 109.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.017910009768442016	(pow.f64 (E.f64) x)
accuracy	4.236480343794345	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy	34.3482624210507	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy	41.83651320419405	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))

Samples

65.0ms	175×	1	valid
8.0ms	81×	0	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow: 24.0ms (48.5% of total)

ival-e: 8.0ms (16.2% of total)

ival-mult: 5.0ms (10.1% of total)

adjust: 4.0ms (8.1% of total)

ival-log1p: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4% of total)

ival-add: 2.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series204.0ms (1.6%)

Memory

32.4MiB live, 400.8MiB allocated

Counts

6 → 53

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)

Outputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E)))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(+ 1 (* x (log (E))))
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))))
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(+ 1 (* y (- (pow (E) x) 1)))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(pow (E) x)
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
(* c (* y (- (pow (E) x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))

Calls

9 calls:

Time	Variable		Point	Expression
67.0ms	c	@	0	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
60.0ms	x	@	-inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
17.0ms	x	@	inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
14.0ms	c	@	-inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
13.0ms	c	@	inf	((log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))

simplify183.0ms (1.4%)

Memory

2.5MiB live, 144.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	1289
1	1139	1110
2	4646	1080
0	8124	1006

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
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(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))

rewrite201.0ms (1.5%)

Memory

-10.9MiB live, 177.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
0	18	46
1	72	46
2	472	40
3	4703	40
0	8213	25

Stop Event

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

Counts

6 → 274

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)

Outputs
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x)))
(log1p.f64 (*.f64 (neg.f64 y) (neg.f64 (expm1.f64 x))))
(log1p.f64 (*.f64 y (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64)))) (log.f64 (.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (.f64 y (expm1.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 9 binary64))) (log.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 y (expm1.f64 x))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) #s(literal 0 binary64))
(log.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (pow.f64 (E.f64) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 (E.f64) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))))
(.f64 (pow.f64 (E.f64) (.f64 x #s(literal 2/3 binary64))) (pow.f64 (E.f64) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (neg.f64 (E.f64)) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 (neg.f64 (E.f64)) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x))))))
(.f64 (pow.f64 (neg.f64 (E.f64)) (.f64 x #s(literal 2/3 binary64))) (pow.f64 (neg.f64 (E.f64)) (*.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (E.f64)) x)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (exp.f64 x)))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(.f64 (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x)) (fabs.f64 (pow.f64 (cbrt.f64 (E.f64)) x)))
(.f64 (pow.f64 (exp.f64 #s(literal 5/3 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 (neg.f64 (E.f64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (sqrt.f64 (exp.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 (E.f64)) #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (neg.f64 (E.f64)) x)
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (.f64 #s(literal 1/2 binary64) x)) (cosh.f64 (/.f64 x #s(literal -2 binary64)))) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 (sqrt.f64 (E.f64)))) (.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (E.f64))) x))
(exp.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) x)))
(exp.f64 x)
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval65.0ms (0.5%)

Memory: 6.4MiB live, 51.4MiB allocated
Compiler: Compiled 8 165 to 1 825 computations (77.6% saved)

prune47.0ms (0.4%)

Memory

-19.0MiB live, 27.8MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	311	15	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	312	15	327

Accuracy

99.8%

Counts

327 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	80.7%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
	52.2%	(.f64 c (log.f64 (fma.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
	28.7%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
	39.0%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
▶	39.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
	39.7%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
▶	42.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
	28.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶	42.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
	52.6%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
	49.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
	44.2%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
	53.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
▶	59.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 660 to 498 computations (24.5% saved)

simplify168.0ms (1.3%)

Memory

32.5MiB live, 124.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 y x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
cost-diff	1	(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
cost-diff	1	(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 c y)
cost-diff	0	(.f64 (.f64 c y) x)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(*.f64 y (expm1.f64 x))
cost-diff	0	(log1p.f64 (*.f64 y (expm1.f64 x)))
cost-diff	0	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	370
0	78	370
1	145	370
2	431	370
3	1898	370
4	6501	370
0	8483	347

Stop Event

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

Calls

Call 1

Inputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
y
(expm1.f64 x)
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
(.f64 (.f64 c y) x)
(*.f64 c y)
c
y
x
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 y y (neg.f64 y))
(neg.f64 y)
#s(literal -1/2 binary64)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
y
x
#s(literal 1 binary64)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)
#s(literal 1/2 binary64)
(*.f64 y x)
y
x
#s(literal 1 binary64)

Outputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(log1p.f64 (*.f64 y (expm1.f64 x)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 y (expm1.f64 x))
(*.f64 (expm1.f64 x) y)
y
(expm1.f64 x)
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
(.f64 (.f64 c y) x)
(*.f64 c y)
c
y
x
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
(.f64 #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 y (+.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x x) (.f64 #s(literal -1/2 binary64) y)) #s(literal 1/2 binary64))) x y) x)) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (.f64 y (+.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x x) (.f64 #s(literal -1/2 binary64) y)) #s(literal 1/2 binary64))) x y) x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)
(.f64 (fma.f64 (.f64 y (+.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x x) (.f64 #s(literal -1/2 binary64) y)) #s(literal 1/2 binary64))) x y) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y)
(fma.f64 (.f64 y (+.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x x) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1/2 binary64))) x y)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(.f64 y (+.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) x x) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 y y (neg.f64 y))
(neg.f64 y)
#s(literal -1/2 binary64)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
(.f64 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))) c)
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
y
x
#s(literal 1 binary64)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
(.f64 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) c)
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y)
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 1 binary64)

localize307.0ms (2.3%)

Memory

-2.7MiB live, 233.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
accuracy	4.236480343794345	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
accuracy	16.309368345895802	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))
accuracy	34.3482624210507	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))
accuracy	0.0	(fma.f64 y x #s(literal 1 binary64))
accuracy	4.236480343794345	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
accuracy	12.356046718098712	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	34.3482624210507	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
accuracy	3.117179172441263	(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y)
accuracy	4.236480343794345	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
accuracy	12.726126015153403	(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
accuracy	26.984038319280643	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))
accuracy	0.0	(*.f64 c y)
accuracy	5.088896673638802	(.f64 (.f64 c y) x)
accuracy	26.14556771565566	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.01171875	(*.f64 y (expm1.f64 x))
accuracy	0.01171875	(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy	4.236480343794345	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Samples

216.0ms	171×	1	valid
54.0ms	85×	0	valid

Compiler

Compiled 304 to 44 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 76.0ms (51.1% of total)

ival-pow: 17.0ms (11.4% of total)

adjust: 14.0ms (9.4% of total)

ival-add: 13.0ms (8.7% of total)

ival-e: 7.0ms (4.7% of total)

ival-expm1: 7.0ms (4.7% of total)

ival-log1p: 6.0ms (4% of total)

const: 4.0ms (2.7% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series242.0ms (1.8%)

Memory

19.0MiB live, 434.3MiB allocated

Counts

20 → 131

Calls

Call 1

Inputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
(.f64 (.f64 c y) x)
(*.f64 c y)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y)

Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c y)
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* -1/2 (- (pow y 2) y))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x y)))))
y
(+ y (* -1/2 (* x (- (pow y 2) y))))
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(- (exp x) 1)
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(+ 1 (* y (- (pow (E) x) 1)))
(* x (+ y (/ 1 x)))
(* 1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/2 y) (/ y x)))
(* (pow x 2) (+ (* 1/2 y) (+ (/ 1 (pow x 2)) (/ y x))))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))))
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x)))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* c (* y (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(* c (* y (- (pow (E) x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (+ 1/2 (* 1/6 x)))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2)))))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2)))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* y (- (pow (E) x) 1))
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
(+ 1 (* x (* y (+ 1 (* 1/2 x)))))
(* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x))))))
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2)))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* 1/3 (* x (pow y 3)))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* y (+ x (/ 1 y)))
(* x (* y (+ 1 (* 1/2 x))))
(* y (+ (* x (+ 1 (* 1/2 x))) (/ 1 y)))
(* 1/3 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* x (* y (- (* -1/2 x) 1))))
(* -1 (* y (- (* x (- (* -1/2 x) 1)) (/ 1 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
56.0ms	c	@	0	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y))
55.0ms	y	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y))
29.0ms	c	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y))
29.0ms	x	@	-inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y))
27.0ms	x	@	inf	((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (* (+ (* y y) (neg y)) -1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y))

simplify150.0ms (1.1%)

Memory

-19.9MiB live, 209.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	644	2825
1	2407	2689
0	9579	2363

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 129

Calls

Call 1

Inputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c y)
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* -1/2 (- (pow y 2) y))
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(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
1
(+ 1 (* x (* y (log (E)))))
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(+ 1 (* x y))
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y
(+ y (* -1/2 (* x (- (pow y 2) y))))
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(log (+ 1 (* y (- (exp x) 1))))
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(log (+ 1 (* y (- (pow (E) x) 1))))
(+ 1 (* y (- (pow (E) x) 1)))
(* x (+ y (/ 1 x)))
(* 1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/2 y) (/ y x)))
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(* -1 (* y (- (* x (- (* -1/2 x) 1)) (/ 1 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))

Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (* x y))
(.f64 (.f64 x y) c)
(* c y)
(*.f64 c y)
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x)
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) c) x) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) x)) x (.f64 c y)) x)
(* x y)
(*.f64 x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) x y) x)
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)
(* x (+ y (* 1/2 (* x y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x y) y) x)
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
(.f64 (fma.f64 (fma.f64 (.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* c (* x (* y (log (E)))))
(.f64 (.f64 x y) c)
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x)
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) c) x) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) c) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))) (.f64 (.f64 #s(literal 1/6 binary64) c) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) x)) x (.f64 c y)) x)
(* -1/2 (- (pow y 2) y))
(.f64 (-.f64 (.f64 y y) y) #s(literal -1/2 binary64))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))
(fma.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64) (.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64)))
(* x (* y (log (E))))
(*.f64 x y)
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) x y) x)
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) x (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)
1
#s(literal 1 binary64)
(+ 1 (* x (* y (log (E)))))
(fma.f64 x y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 x y #s(literal 1 binary64))
(+ 1 (* x (+ y (* 1/2 (* x y)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))
y
(+ y (* -1/2 (* x (- (pow y 2) y))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 y y) y) y)
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64) (.f64 (-.f64 (*.f64 y y) y) #s(literal -1/2 binary64))) x y)
(log (+ 1 (* y (- (exp x) 1))))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(* y (- (exp x) 1))
(*.f64 (expm1.f64 x) y)
(- (exp x) 1)
(expm1.f64 x)
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) x) #s(literal 1/6 binary64))
(* x (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)
(log (+ 1 (* y (- (pow (E) x) 1))))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(+ 1 (* y (- (pow (E) x) 1)))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 x y #s(literal 1 binary64))
(* 1/2 (* (pow x 2) y))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)
(* (pow x 2) (+ (* 1/2 y) (/ y x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y x)) x) x)
(* (pow x 2) (+ (* 1/2 y) (+ (/ 1 (pow x 2)) (/ y x))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 y x)) (*.f64 x x))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) x) x) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 y (.f64 x x)))) x) x)
(* -1 (* x (+ (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- (pow y 2) y) x)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) (.f64 (/.f64 (-.f64 (*.f64 y y) y) x) #s(literal 1/2 binary64))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))
(* c (* y (- (exp x) 1)))
(.f64 (.f64 (expm1.f64 x) c) y)
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (expm1.f64 x) c)) y)
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (expm1.f64 x) c)) y)
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 x)) y)
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y)
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 x)) y)
(* c (* y (- (pow (E) x) 1)))
(.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(.f64 (fma.f64 (.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) c (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) c) #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) c) #s(literal -1/4 binary64))) y (.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
(* y (+ 1/2 (* 1/6 x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2)))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* -1/2 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(* y (- (pow (E) x) 1))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
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(.f64 (neg.f64 y) (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (.f64 (.f64 #s(literal -1/3 binary64) x) x))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))

rewrite279.0ms (2.1%)

Memory

-3.6MiB live, 336.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	288
0	78	288
1	302	288
2	2380	288
0	9805	262

Stop Event

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

Counts

20 → 304

Calls

Call 1

Inputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
(.f64 (.f64 c y) x)
(*.f64 c y)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y)

Outputs
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (expm1.f64 x))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (expm1.f64 x) y) (-.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(.f64 (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) y)
(.f64 (.f64 #s(literal 1 binary64) y) (expm1.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y))
(.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) y)
(*.f64 y (expm1.f64 x))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) y)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) y) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
(.f64 (.f64 c x) y)
(.f64 (.f64 x c) y)
(.f64 (.f64 x y) c)
(.f64 (.f64 c y) x)
(.f64 c (.f64 x y))
(.f64 x (.f64 c y))
(.f64 y (.f64 c x))
(*.f64 c y)
(*.f64 y c)
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y y) (.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y y) (.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y y) (.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) (-.f64 (pow.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y y) (.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) (.f64 (*.f64 x y) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x))))) (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x))))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x)))))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x)))))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y)))) (-.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))))) (.f64 (.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)) (-.f64 (.f64 (.f64 x y) #s(literal 1/6 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))))))))
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(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) (.f64 x y))))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) (.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) (.f64 x y))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x)) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y)) (/.f64 (.f64 y (neg.f64 y)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y)))
(+.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x) y)
(+.f64 y (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)) x (.f64 #s(literal -1/2 binary64) (fma.f64 y y y))) x))

eval67.0ms (0.5%)

Memory: -1.5MiB live, 140.4MiB allocated
Compiler: Compiled 23 105 to 2 554 computations (88.9% saved)

prune43.0ms (0.3%)

Memory

20.1MiB live, 67.0MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	408	19	427
Fresh	6	4	10
Picked	2	3	5
Done	0	0	0
Total	416	26	442

Accuracy

99.9%

Counts

442 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
✓	93.4%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	64.4%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	65.2%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	64.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
	16.1%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
	47.0%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
	52.6%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
	80.7%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
	28.7%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
✓	42.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
▶	1.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
	38.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))))))
	28.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	42.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
	47.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
	29.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
	51.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
	51.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
	51.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
▶	21.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
▶	53.4%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
	75.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
▶	56.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
	53.4%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
✓	59.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 1 578 to 1 133 computations (28.2% saved)

simplify133.0ms (1%)

Memory

-3.3MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))
cost-diff	0	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))
cost-diff	0	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))
cost-diff	0	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
cost-diff	1	(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y)
cost-diff	1	(fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 c x)
cost-diff	0	(.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x)
cost-diff	0	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
cost-diff	2	(fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 c y))
cost-diff	0	(*.f64 x c)
cost-diff	0	(.f64 (.f64 x c) y)
cost-diff	0	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
cost-diff	0	(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
cost-diff	0	(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
cost-diff	1	(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	686
0	123	686
1	253	683
2	773	671
3	3398	667
0	8164	607

Stop Event

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

Calls

Call 1

Inputs
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 (.f64 x c) y)
(*.f64 x c)
x
c
y
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x)
(fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 c y))
(*.f64 c x)
c
x
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
(*.f64 c y)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x))
(.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x))
(.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 y y) y) x)
(-.f64 (*.f64 y y) y)
(*.f64 y y)
y
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))
(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y)
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
y

Outputs
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(.f64 c (log1p.f64 (.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(log1p.f64 (.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
(.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 y x) c))
(.f64 (.f64 x c) y)
(.f64 (.f64 y x) c)
(*.f64 x c)
(*.f64 c x)
x
c
y
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 (*.f64 y x) c)))
(.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x)
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 (*.f64 y x) c))
(fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 c y))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 c y))
(*.f64 c x)
c
x
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
(*.f64 c y)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) x)) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) x))
(.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)
(.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) x)
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x))
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))))
(.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)
(.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) x)
(fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))
(/.f64 (-.f64 (*.f64 y y) y) x)
(-.f64 (*.f64 y y) y)
(*.f64 y y)
y
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y)
(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) y)
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(.f64 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))) c)
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
y

localize851.0ms (6.5%)

Memory

-19.4MiB live, 1 083.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	8.52942412265656	(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)
accuracy	16.309368345895802	#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))
accuracy	34.3482624210507	(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))
accuracy	46.63049944222564	#s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))
accuracy	4.236480343794345	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
accuracy	10.256139655523592	(fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)))
accuracy	26.984038319280643	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x))
accuracy	34.94683645313077	#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x))
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
accuracy	4.168288060145314	(.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x)
accuracy	12.8485295522169	(fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 c y))
accuracy	27.24923463415372	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
accuracy	0.0	(*.f64 x c)
accuracy	6.827144305328866	(.f64 (.f64 x c) y)
accuracy	26.14556771565566	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
accuracy	0.1171875	(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
accuracy	0.14453125	(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
accuracy	0.14453125	(expm1.f64 (*.f64 x #s(literal 3 binary64)))
accuracy	4.236480343794345	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)

Samples

517.0ms	85×	0	valid
217.0ms	157×	1	valid
38.0ms	14×	2	valid

Compiler

Compiled 464 to 75 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 723.0ms

ival-mult: 568.0ms (78.6% of total)

ival-pow: 31.0ms (4.3% of total)

ival-expm1: 29.0ms (4% of total)

ival-add: 27.0ms (3.7% of total)

adjust: 24.0ms (3.3% of total)

ival-div: 10.0ms (1.4% of total)

ival-log1p: 9.0ms (1.2% of total)

ival-e: 8.0ms (1.1% of total)

ival-sub: 5.0ms (0.7% of total)

ival-exp: 5.0ms (0.7% of total)

const: 4.0ms (0.6% of total)

exact: 1.0ms (0.1% of total)

ival-neg: 1.0ms (0.1% of total)

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

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

series600.0ms (4.6%)

Memory

1.1MiB live, 1 873.4MiB allocated

Counts

24 → 182

Calls

Call 1

Inputs
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
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(.f64 (.f64 x c) y)
(*.f64 x c)
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(*.f64 c x)
(fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
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(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))
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#s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
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(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)

Outputs
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1
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y
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(* 2 (pow y 3))
(* (pow y 3) (- 2 (* 3 (/ 1 y))))
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* x (* y (+ 1 (* 1/2 x))))
(* y (+ (* x (+ 1 (* 1/2 x))) (/ 1 y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* 1/3 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))))
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1))))
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1)))))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 c) (* -1/2 (* c x))) y)) (* -1/2 (* c x))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(* (pow y 2) (+ (* -1 (/ (* x (+ (* -1 c) (* -1/2 (* c x)))) y)) (* -1/2 (* c (pow x 2)))))
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (/ 1/2 (* x y)) (* 1/6 (/ 1 y))) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3)))
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2)))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* -1 (* x (* y (- (* -1/2 x) 1))))
(* -1 (* y (- (* x (- (* -1/2 x) 1)) (/ 1 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
152.0ms	x	@	-inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (* c x) (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (+ (* -1/2 y) 1/2) y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (* (* x x) 1/2) y))
97.0ms	x	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (* c x) (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (+ (* -1/2 y) 1/2) y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (* (* x x) 1/2) y))
72.0ms	y	@	-inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (* c x) (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (+ (* -1/2 y) 1/2) y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (* (* x x) 1/2) y))
71.0ms	c	@	0	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (* c x) (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (+ (* -1/2 y) 1/2) y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (* (* x x) 1/2) y))
62.0ms	y	@	inf	((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (* c x) (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (+ (* (- (* 2 y) 3) (* y y)) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (+ (* 1/2 (* y x)) y) x) 1) (- (exp (* x 3)) 1) (* (- (exp (* x 3)) 1) y) (* (+ (* -1/2 y) 1/2) y) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (* (* (* x x) 1/2) y))

simplify555.0ms (4.3%)

Memory

5.7MiB live, 670.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	920	4820
1	3449	4519
0	8776	3998

Stop Event

1×	iter limit
1×	node limit

Counts

182 → 181

Calls

Call 1

Inputs
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c x)
(* c (+ y (* x (* y (+ 1/2 (* -1/2 y))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* x (+ y (* x (* y (+ 1/2 (* -1/2 y)))))))
(* -1 (* c (+ (* -1 y) (* -1 (* x (* y (+ 1/2 (* -1/2 y))))))))
(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (* y (+ 1/2 (* -1/2 y)))))))))
3
(+ 3 (* 3 x))
(+ 3 (* x (+ 3 (* 5/2 x))))
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))
(* x (+ y (* x (- (* 3/2 y) y))))
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y))))
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* c y)
(+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))))
(* -1/2 (/ (- (pow y 2) y) x))
(/ (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x y)))))
(* 3 x)
(* x (+ 3 (* 9/2 x)))
(* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))
(* 3 (* x y))
(* x (+ (* 3 y) (* 9/2 (* x y))))
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* 9/2 (* x y))))))
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* x (+ (* 27/8 (* x y)) (* 9/2 y)))))))
y
(+ y (* -1/2 (* x (- (pow y 2) y))))
(+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))))))
(* 1/2 (* (pow x 2) y))
(+ 1 (+ (exp x) (pow (exp x) 2)))
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))
(/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))
(* c (* x (* y (+ 1/2 (* -1/2 y)))))
(* x (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x)))
(* c (* (pow x 2) (* y (+ 1/2 (* -1/2 y)))))
(* (pow x 2) (+ (* c (* y (+ 1/2 (* -1/2 y)))) (/ (* c y) x)))
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))
(+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(+ 1 (* y (- (pow (E) x) 1)))
(* (pow x 2) (+ (* 1/2 y) (/ y x)))
(* (pow x 2) (+ (* 1/2 y) (+ (/ 1 (pow x 2)) (/ y x))))
(- (exp (* 3 x)) 1)
(* y (- (exp (* 3 x)) 1))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 2) (+ (* -1/2 (/ (- (pow y 2) y) x)) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (/ y (pow x 2)))))
(* -1 (* x (+ (* -1 (* c (* y (+ 1/2 (* -1/2 y))))) (* -1 (/ (* c y) x)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (- (pow y 2) y))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
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Outputs
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(* (pow y 2) (+ (* -1 (/ (+ (* -1 c) (* -1/2 (* c x))) y)) (* -1/2 (* c x))))
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(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y)))
(* (pow y 2) (+ (* -1 (/ (* x (+ (* -1 c) (* -1/2 (* c x)))) y)) (* -1/2 (* c (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 x x) (.f64 (neg.f64 x) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) x (neg.f64 c)) y))) (.f64 y y))
(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3)))
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (/ 1/2 (* x y)) (* 1/6 (/ 1 y))) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) #s(literal 1/3 binary64)))
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (neg.f64 y)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)) (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (* y (- (* -1/2 x) 1))))
(.f64 (.f64 (neg.f64 x) y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(* -1 (* y (- (* x (- (* -1/2 x) 1)) (/ 1 y))))
(.f64 (neg.f64 y) (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))

rewrite416.0ms (3.2%)

Memory

33.0MiB live, 656.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	499
0	123	499
1	501	464
2	4027	449
0	8645	399

Stop Event

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

Counts

24 → 293

Calls

Call 1

Inputs
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 (.f64 x c) y)
(*.f64 x c)
(fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 c y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x)
(*.f64 c x)
(fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (neg.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (fabs.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (fabs.f64 (E.f64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) x) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (E.f64)) x) (pow.f64 (neg.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (fabs.f64 (E.f64)) x) (pow.f64 (fabs.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (.f64 #s(literal 2 binary64) x)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (E.f64) (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 (exp.f64 x))) (neg.f64 (fabs.f64 (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
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(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 y) y)) (-.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y) y) y))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fabs.f64 y)) (fabs.f64 y) y)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 y) y)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y) y y)
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) y)
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) y)
(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y)
(fma.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y)
(fma.f64 y (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y) y)
(-.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y) y) y)))
(-.f64 y (.f64 (neg.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y)) y))
(-.f64 y (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (*.f64 y y)))
(-.f64 y (.f64 (neg.f64 (.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y) y) y)
(+.f64 y (.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y) y))
(.f64 #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y))) x) x)) x)) c)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y))) x) x)) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y))) x) x)) x))
(.f64 (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(+.f64 (log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) y))) (/.f64 c #s(literal 2 binary64)))) (log.f64 (pow.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))) (/.f64 c #s(literal 2 binary64)))))
(log.f64 (pow.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))) c))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(expm1.f64 (*.f64 (log.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) x))
(expm1.f64 (*.f64 (log.f64 (fabs.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (sinh.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(.f64 y (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) y)
(/.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 y (expm1.f64 (.f64 x #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) y) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 9 binary64))) y) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1/4 binary64)) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/4 binary64)))))
(/.f64 (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/4 binary64)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) y (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (.f64 (.f64 #s(literal -1/2 binary64) y) y))
(fma.f64 #s(literal 1/2 binary64) y (.f64 y (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 y (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) y) y))
(fma.f64 y #s(literal 1/2 binary64) (.f64 y (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 y (.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 #s(literal -1/2 binary64) y) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y))) x) x))
(.f64 (.f64 y (*.f64 x x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 y x) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) y))
(.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 x (.f64 (*.f64 y x) #s(literal 1/2 binary64)))

eval195.0ms (1.5%)

Memory: -30.5MiB live, 835.9MiB allocated
Compiler: Compiled 19 806 to 2 710 computations (86.3% saved)

prune58.0ms (0.4%)

Memory

10.6MiB live, 500.7MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	455	13	468
Fresh	4	14	18
Picked	3	2	5
Done	0	3	3
Total	462	32	494

Accuracy

99.9%

Counts

494 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
✓	93.4%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	64.4%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	65.2%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	64.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
▶	52.6%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
	16.1%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
▶	80.7%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
▶	28.7%	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
✓	42.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	1.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
	38.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))))))
	28.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	42.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
▶	47.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
	51.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
	51.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
	51.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
	24.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
	22.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
▶	44.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
	56.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
	18.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 c y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) #s(literal 3 binary64))) (fma.f64 (.f64 c y) (-.f64 (.f64 c y) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)) (pow.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) #s(literal 2 binary64)))) x))
	75.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	55.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
	55.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
	41.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
	26.5%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
	37.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
	40.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
✓	56.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
✓	59.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 2 182 to 1 482 computations (32.1% saved)

simplify158.0ms (1.2%)

Memory

10.8MiB live, 871.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)
cost-diff	0	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))
cost-diff	1	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
cost-diff	0	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
cost-diff	0	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
cost-diff	2	(fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)
cost-diff	0	(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)
cost-diff	0	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
cost-diff	4	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
cost-diff	0	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
cost-diff	0	(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
cost-diff	0	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	635
0	123	633
1	259	633
2	798	609
3	3609	599
0	8185	553

Stop Event

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

Calls

Call 1

Inputs
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
c
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(*.f64 y (expm1.f64 x))
y
(expm1.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
(*.f64 y x)
y
x
c
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
c
x
(.f64 (.f64 y x) c)
(*.f64 y x)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)
#s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
#s(literal 1/3 binary64)
(*.f64 x y)
x
y
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
y

Outputs
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c)
c
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
(*.f64 y (expm1.f64 x))
(*.f64 (expm1.f64 x) y)
y
(expm1.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))
(.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64))
(fma.f64 (expm1.f64 x) y #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
c
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 (*.f64 x y) c)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (.f64 (*.f64 x y) c))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)
(.f64 (.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) c)) y)
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) c) y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
c
x
(.f64 (.f64 y x) c)
(.f64 (.f64 x y) c)
(*.f64 y x)
(*.f64 x y)
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)
#s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))
#s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)
(.f64 (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
(*.f64 x y)
x
y
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(.f64 (log1p.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c)
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))
(log1p.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))
(fma.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
y

localize406.0ms (3.1%)

Memory

-13.7MiB live, 1 890.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.236480343794345	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
accuracy	18.676801727515276	#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x))
accuracy	34.3482624210507	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))
accuracy	41.83651320419405	(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	2.6176077633594392	(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
accuracy	3.117179172441263	(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)
accuracy	4.236480343794345	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
accuracy	26.984038319280643	#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
accuracy	5.43000318249034	(.f64 (.f64 y x) c)
accuracy	5.716683121879189	(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)
accuracy	7.800452190983157	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c))
accuracy	27.24923463415372	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
accuracy	0.0	(*.f64 y x)
accuracy	4.236480343794345	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
accuracy	27.22023839506501	#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
accuracy	0.17652138675818824	(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
accuracy	4.236480343794345	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
accuracy	4.616152923706053	(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
accuracy	7.990339811135335	(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))

Samples

287.0ms	175×	1	valid
58.0ms	81×	0	valid

Compiler

Compiled 497 to 75 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-mult: 88.0ms (31.3% of total)

ival-pow: 42.0ms (15% of total)

ival-add: 36.0ms (12.8% of total)

adjust: 32.0ms (11.4% of total)

ival-expm1: 21.0ms (7.5% of total)

ival-log1p: 18.0ms (6.4% of total)

ival-e: 16.0ms (5.7% of total)

ival-exp: 8.0ms (2.8% of total)

const: 8.0ms (2.8% of total)

ival-sub: 7.0ms (2.5% of total)

ival-div: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series1.1s (8.5%)

Memory

38.6MiB live, 4 070.7MiB allocated

Counts

24 → 230

Calls

Call 1

Inputs
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
(*.f64 y x)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)
(fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)
(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(.f64 (.f64 y x) c)
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x))

Outputs
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* c (+ (* x y) (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* x (* y (+ 1/2 (* -1/2 y)))))
(* c (* y (+ 1/2 (* -1/2 y))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* -1 (* c (+ (* -1 (* x y)) (* -1 (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))))))
(* x (+ (* -1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* c y)))
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* c (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))))))))
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* x (+ (* c (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2))))))))))) (* c (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2))))))))))))))
(* x y)
(* x (- (* -1/2 (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* -1 y)))
(* x (- (* x (- (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y)))
(* x (- (* x (- (* x (- (+ (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2)))))))))) (pow y 3)) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (* 3/2 (* x (pow y 3))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 5/4 (* x (pow y 3))) (* 3/2 (pow y 3)))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 1/720 (* x (+ (* -360 (pow y 6)) (* 540 (pow y 3))))) (* 5/4 (pow y 3)))))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 3/4 (* x (pow y 3))) (* 5/4 (pow y 3)))))) (pow y 3)))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))))
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
-1/2
(- (* x (- (* 1/3 y) 1/2)) 1/2)
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* x (+ y (* -1/2 (* x (- (pow y 2) y)))))
(* x (+ y (* x (+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
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(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))))
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1))))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))
(- (+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y)))) (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (* -3 (log (/ -1 y))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 6)))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3)))))
(+ (log (* -1 (pow (- (exp x) 1) 3))) (+ (* -3 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 9)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 6)))) (pow y 3))) (/ 1 (pow (- (exp x) 1) 3))) (pow y 3)))))
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (* y (- (exp (* 3 x)) 1))))
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1)))))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* c x)) (* -1/2 (* c (pow x 2)))) y)) (* -1/2 (* c (pow x 2)))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(* -1 (* y (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
360.0ms	x	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (* (+ (* -1/2 y) 1/2) y) c) x) (* (* (+ (* -1/2 y) 1/2) y) c) (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* (* y x) c) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x))
201.0ms	c	@	-inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (* (+ (* -1/2 y) 1/2) y) c) x) (* (* (+ (* -1/2 y) 1/2) y) c) (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* (* y x) c) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x))
153.0ms	c	@	0	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (* (+ (* -1/2 y) 1/2) y) c) x) (* (* (+ (* -1/2 y) 1/2) y) c) (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* (* y x) c) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x))
106.0ms	c	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (* (+ (* -1/2 y) 1/2) y) c) x) (* (* (+ (* -1/2 y) 1/2) y) c) (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* (* y x) c) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x))
91.0ms	x	@	inf	((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (* (+ (* -1/2 y) 1/2) y) c) x) (* (* (+ (* -1/2 y) 1/2) y) c) (+ (* 1/3 (* x y)) (- (* -1/2 x) 1/2)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) x) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (log (+ 1 (* (* y (- (exp x) 1)) (+ (* y (- (exp x) 1)) -1)))) (* (* y x) c) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (- (pow (E) x) 1) (pow (E) x))

simplify211.0ms (1.6%)

Memory

14.7MiB live, 1 159.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1225	7131
1	4584	6794
0	8354	5857

Stop Event

1×	iter limit
1×	node limit

Counts

230 → 229

Calls

Call 1

Inputs
(* c (- (log (+ 1 (* (pow y 3) (pow (- (exp x) 1) 3)))) (log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))))
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* c (+ (* x y) (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* x (* y (+ 1/2 (* -1/2 y)))))
(* c (* y (+ 1/2 (* -1/2 y))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* -1 (* c (+ (* -1 (* x y)) (* -1 (* (pow x 2) (* y (+ 1/2 (* -1/2 y))))))))
(* x (+ (* -1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* c y)))
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* c (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))))))))
(* x (+ (* c y) (* x (+ (* -1/2 (* c (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* x (+ (* c (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2))))))))))) (* c (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2))))))))))))))
(* x y)
(* x (- (* -1/2 (* x (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2)))))) (* -1 y)))
(* x (- (* x (- (* x (- (pow y 3) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y)))
(* x (- (* x (- (* x (- (+ (* x (- (* 3/2 (pow y 3)) (* 1/24 (+ (* -12 (* (pow y 2) (pow (- y 1/2) 2))) (+ (* -6 (pow y 4)) (+ (* 24 (* y (- (+ (* 1/4 y) (* 1/3 y)) 1/24))) (+ (* 24 (* (pow y 2) (- y 1/6))) (* 24 (* (pow y 3) (- y 1/2)))))))))) (pow y 3)) (* 1/6 (+ (* -2 (pow y 3)) (+ (* 6 (* y (- y 1/6))) (* 6 (* (pow y 2) (- y 1/2)))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (* y (- y 1/2))))))) (* -1 y)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (* 3/2 (* x (pow y 3))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 5/4 (* x (pow y 3))) (* 3/2 (pow y 3)))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 1/720 (* x (+ (* -360 (pow y 6)) (* 540 (pow y 3))))) (* 5/4 (pow y 3)))))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 3/2 (pow y 3)) (* x (+ (* 3/4 (* x (pow y 3))) (* 5/4 (pow y 3)))))) (pow y 3)))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))))
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))
(* x (+ (* c y) (* c (* x (* y (+ 1/2 (* -1/2 y)))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
-1/2
(- (* x (- (* 1/3 y) 1/2)) 1/2)
(* c (* x (* y (log (E)))))
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Outputs
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(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1)))))))
(+.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) y)) (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y))))
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(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y))))
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(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* c x)) (* -1/2 (* c (pow x 2)))) y)) (* -1/2 (* c (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 x x) (/.f64 (fma.f64 (neg.f64 c) x (.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64))) (neg.f64 y))) (*.f64 y y))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (expm1.f64 x)) (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y)))
(* -1 (* y (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 c (.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y)) (neg.f64 y)))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) y) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))) (neg.f64 y))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (-.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))
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(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y))) y))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y) (.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 y))))

rewrite263.0ms (2%)

Memory

5.7MiB live, 766.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	482
0	123	480
1	563	416
2	4916	416
0	8852	381

Stop Event

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

Counts

24 → 282

Calls

Call 1

Inputs
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
(*.f64 y x)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)
(fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x))
(.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)
(log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(.f64 (.f64 y x) c)
(fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y)
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x))

Outputs
(.f64 (log1p.f64 (.f64 (expm1.f64 x) y)) c)
(.f64 c (log1p.f64 (.f64 (expm1.f64 x) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(/.f64 (.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)) c))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) y))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 y)) (expm1.f64 x)))
(log1p.f64 (.f64 (.f64 (neg.f64 y) (expm1.f64 x)) #s(literal -1 binary64)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) y)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 (expm1.f64 x) y) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64)))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 9 binary64))) (log.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (expm1.f64 x))))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (.f64 (neg.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))) (*.f64 (expm1.f64 x) y))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))))
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(log1p.f64 (.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))))
(log1p.f64 (.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64))) (*.f64 (expm1.f64 x) y)))
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 9 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 9 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64)))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 9 binary64))) (log.f64 (+.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 9 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) y) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (exp.f64 x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (expm1.f64 x)) y)
(.f64 (.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) y) (expm1.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64))) (.f64 (expm1.f64 x) y))
(.f64 (neg.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 y) (expm1.f64 x)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (expm1.f64 x)))
(.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) y))
(.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (expm1.f64 x) y) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))
(.f64 (expm1.f64 x) (.f64 y (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))
(.f64 y (.f64 (expm1.f64 x) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 (expm1.f64 x) y)))
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(/.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x))

eval245.0ms (1.9%)

Memory: 11.2MiB live, 548.6MiB allocated
Compiler: Compiled 24 143 to 2 810 computations (88.4% saved)

prune48.0ms (0.4%)

Memory

-1.6MiB live, 134.4MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	501	10	511
Fresh	2	20	22
Picked	3	2	5
Done	0	5	5
Total	506	37	543

Accuracy

99.9%

Counts

543 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.9%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
	73.3%	(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
	27.0%	(.f64 (log1p.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c)
✓	93.4%	(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
	64.4%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	65.2%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
	64.7%	(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
✓	52.6%	(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
	16.1%	(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
✓	80.7%	(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
	57.0%	(.f64 c (-.f64 #s(approx (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
✓	42.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓	1.8%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
	38.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))))))
	28.6%	(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
	42.7%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
	47.8%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
	47.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
	51.5%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
	51.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
	51.2%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
	24.4%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
	22.9%	(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
	50.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
	56.3%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
	18.6%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 c y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) #s(literal 3 binary64))) (fma.f64 (.f64 c y) (-.f64 (.f64 c y) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)) (pow.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) #s(literal 2 binary64)))) x))
	75.1%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
	55.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
	55.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
	41.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
	26.5%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
	50.7%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
	54.9%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
	40.2%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
	37.8%	#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
✓	56.7%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
✓	59.8%	#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Compiler

Compiled 3 496 to 1 378 computations (60.6% saved)

regimes145.0ms (1.1%)

Memory

-20.9MiB live, 214.5MiB allocated

Counts

58 → 3

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) y) #s(approx (+ ( (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 c y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) #s(literal 3 binary64))) (fma.f64 (.f64 c y) (-.f64 (.f64 c y) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x)) (pow.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) #s(literal 2 binary64)))) x))
(.f64 c (-.f64 #s(approx (log (+ 1 (pow ( y (- (exp x) 1)) 3))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (log1p.f64 (.f64 (*.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(.f64 (log1p.f64 (/.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(.f64 c (log.f64 (fma.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(.f64 c (-.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (.f64 (.f64 y (expm1.f64 x)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (.f64 (.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))

Outputs
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)

Calls

9 calls:

24.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
19.0ms	y
18.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
17.0ms	x
16.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
93.4%	1	`(pow.f64 (E.f64) x)`
93.4%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
93.4%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
93.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
93.4%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
93.4%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
93.4%	1	`c`
93.4%	1	`x`
99.8%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes114.0ms (0.9%)

Memory

4.6MiB live, 202.1MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))

Outputs

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)

#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)

Calls

9 calls:

17.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
16.0ms	x
15.0ms	c
13.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
12.0ms	y

Results

Accuracy	Segments	Branch
85.1%	2	`(pow.f64 (E.f64) x)`
85.1%	2	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
83.7%	3	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
75.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
75.1%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
75.1%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
79.1%	2	`c`
85.1%	2	`x`
91.5%	3	`y`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes14.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* y x) 1) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))

Outputs

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)

#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
91.5%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes17.0ms (0.1%)

Memory

-21.8MiB live, 22.4MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))
(.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) y) x #s(literal 1 binary64)))))

Outputs

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)

#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))

(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
91.0%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes46.0ms (0.4%)

Memory

-10.3MiB live, 78.9MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(.f64 (log1p.f64 (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y)) c)
(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) y))))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(approx (+ (* (+ (* 1/2 (* y x)) y) x) 1) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))

Outputs

(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))

#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))

(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))

Calls

4 calls:

11.0ms	(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
10.0ms	y
10.0ms	x
8.0ms	(pow.f64 (E.f64) x)

Results

Accuracy	Segments	Branch
75.1%	1	`x`
75.1%	1	`(pow.f64 (E.f64) x)`
75.1%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
85.1%	3	`y`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes34.0ms (0.3%)

Memory

17.5MiB live, 70.9MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))

Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))

Calls

3 calls:

15.0ms	c
9.0ms	y
7.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)

Results

Accuracy	Segments	Branch
75.1%	1	`c`
75.1%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
75.1%	1	`y`

Compiler

Compiled 9 to 14 computations (-55.6% saved)

regimes78.0ms (0.6%)

Memory

-4.3MiB live, 182.5MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (*.f64 y x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (*.f64 x y)) c)
(.f64 #s(approx (log (+ 1 (/ ( (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (.f64 (.f64 (.f64 y y) x) c) #s(literal -1/2 binary64))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal 1/2 binary64) (.f64 x c)) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 c (fma.f64 (*.f64 y x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) x)))
(.f64 #s(approx (log (+ 1 ( y (- (exp x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 y (.f64 y y)) y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) #s(approx (* (+ (* -1/2 y) 1/2) y) (.f64 (.f64 y y) #s(literal -1/2 binary64))) (*.f64 c y)) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (fma.f64 (.f64 (.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 x y)) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (fma.f64 (.f64 c x) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c) x) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (.f64 (.f64 x y) c)) x (.f64 (*.f64 y x) c)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (+ (* (* (* (* (+ (* -1/2 y) 1/2) y) c) x) x) (* (* y x) c)) (.f64 (.f64 c (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x))) (*.f64 x x))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) y)) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 #s(approx (+ (* (/ (- (* y y) y) x) -1/2) (* (+ (* (- (* 2 y) 3) (* y y)) y) 1/6)) (.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64))) x) x)) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 #s(approx (+ ( (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) (.f64 (fma.f64 (.f64 c x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y)) (.f64 y y))) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 #s(approx (+ ( 1/3 (* x y)) (- (* -1/2 x) 1/2)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) #s(approx (* (+ (* (* c x) (* (+ (* -1/2 y) 1/2) y)) (* c y)) x) (.f64 (fma.f64 (.f64 (.f64 x x) c) #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 (.f64 c x) #s(literal 1/2 binary64) c) y))) (.f64 y y))))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx ( (+ (* y y) (neg y)) -1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))) x y) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (fma.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))) x (.f64 c y)) x))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) y))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) x (.f64 (.f64 (*.f64 x x) y) #s(literal 1/3 binary64))) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 y y) y) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64))) x) x)) x)))
(.f64 c #s(approx (log (+ 1 ( (- (pow (E) x) 1) y))) (.f64 #s(approx (+ ( (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (+ (* y y) (neg y)) -1/2)) x) y) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (.f64 y y) y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) #s(literal 1 binary64))))

Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y))

Calls

9 calls:

10.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
10.0ms	c
10.0ms	x
9.0ms	y
8.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))

Results

Accuracy	Segments	Branch
59.8%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
59.8%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
59.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.8%	1	`(pow.f64 (E.f64) x)`
59.8%	1	`(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))`
59.8%	1	`x`
59.8%	1	`y`
61.9%	2	`c`

Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes5.0ms (0%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Calls

5 calls:

1.0ms	(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
1.0ms	c
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
1.0ms	(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))

Results

Accuracy	Segments	Branch
59.8%	1	`(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)`
59.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))`
59.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))`
59.8%	1	`(.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))`
59.8%	1	`c`

Compiler

Compiled 39 to 41 computations (-5.1% saved)

bsearch38.0ms (0.3%)

Memory

8.1MiB live, 98.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.2643697625533231e-43	8.829624956897738e-39
32.0ms	-4.2850194469699456e-5	-1.5656061574421548e-7

Samples

24.0ms	89×	1	valid
5.0ms	55×	0	valid

Compiler

Compiled 240 to 223 computations (7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 10.0ms (42.3% of total)

ival-e: 6.0ms (25.4% of total)

ival-mult: 3.0ms (12.7% of total)

adjust: 2.0ms (8.5% of total)

ival-log1p: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Memory

-21.0MiB live, 75.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.089366209600296e-20	7.671322754932679e-20
24.0ms	-161483.24319686525	-16374.09338478145

Samples

24.0ms	98×	1	valid
7.0ms	46×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 357 to 310 computations (13.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 11.0ms (41.3% of total)

ival-mult: 6.0ms (22.5% of total)

ival-e: 4.0ms (15% of total)

adjust: 2.0ms (7.5% of total)

ival-log1p: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.089366209600296e-20	7.671322754932679e-20
1.0ms	-161483.24319686525	-16374.09338478145

Compiler

Compiled 348 to 304 computations (12.6% saved)

bsearch43.0ms (0.3%)

Memory

31.2MiB live, 76.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.089366209600296e-20	7.671322754932679e-20
40.0ms	-5.492337470407822e+40	-2.4977808621524515e+30

Samples

25.0ms	109×	1	valid
6.0ms	51×	0	valid
1.0ms	4×	1	invalid

Compiler

Compiled 457 to 406 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 10.0ms (37.6% of total)

ival-e: 5.0ms (18.8% of total)

ival-log1p: 4.0ms (15% of total)

ival-mult: 3.0ms (11.3% of total)

adjust: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch156.0ms (1.2%)

Memory

-7.9MiB live, 178.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	2.3526359053622494e+198	1.2654582606780155e+199
78.0ms	-3.0755252876300077e+160	-6.344027792643336e+156

Samples

81.0ms	170×	1	valid
43.0ms	72×	1	invalid
7.0ms	74×	0	invalid
5.0ms	54×	0	valid

Compiler

Compiled 505 to 436 computations (13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-pow: 50.0ms (41.4% of total)

ival-e: 35.0ms (29% of total)

ival-log1p: 20.0ms (16.6% of total)

ival-mult: 7.0ms (5.8% of total)

adjust: 5.0ms (4.1% of total)

ival-sub: 3.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory

20.4MiB live, 62.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
34.0ms	1.7376384473051163e-65	2.0622888483344472e-60

Samples

25.0ms	80×	1	valid
4.0ms	48×	0	valid

Compiler

Compiled 303 to 256 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 9.0ms (37.2% of total)

adjust: 6.0ms (24.8% of total)

ival-e: 4.0ms (16.6% of total)

ival-mult: 2.0ms (8.3% of total)

ival-log1p: 2.0ms (8.3% of total)

ival-sub: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify58.0ms (0.4%)

Memory

-23.3MiB live, 74.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	310
1	114	310
2	142	310
3	219	310
4	475	310
5	2640	310

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -3022314549036573/18889465931478580854784 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -105000 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -105000 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -9200000000000000421629328766271488 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -165000000000000008686449369331488445872177843077466277716613907746955624553525077938264182287995005134215776975350080157775021549629611558531485770997427077120 binary64)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 2400000000000000148312898321799981037607501786919005672668538997253604413422059304188593023827483024324261240318756016054332323903383106015522245448659968663264877352503297972102172186871590209716224 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(if (<=.f64 c #s(literal 5558020283391177/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

Outputs
(if (<=.f64 y #s(literal -3022314549036573/18889465931478580854784 binary64)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c)))
(if (or (<=.f64 y #s(literal -3022314549036573/18889465931478580854784 binary64)) (not (<=.f64 y #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)))) (.f64 (log1p.f64 (.f64 y (expm1.f64 x))) c) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -105000 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -105000 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -105000 binary64)) (not (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -9200000000000000421629328766271488 binary64)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (or (<=.f64 y #s(literal -9200000000000000421629328766271488 binary64)) (not (<=.f64 y #s(literal 6230756230241793/83076749736557242056487941267521536 binary64)))) (.f64 (log1p.f64 (.f64 y #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c) #s(approx ( (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
(if (<=.f64 y #s(literal -165000000000000008686449369331488445872177843077466277716613907746955624553525077938264182287995005134215776975350080157775021549629611558531485770997427077120 binary64)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 2400000000000000148312898321799981037607501786919005672668538997253604413422059304188593023827483024324261240318756016054332323903383106015522245448659968663264877352503297972102172186871590209716224 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (or (<=.f64 y #s(literal -165000000000000008686449369331488445872177843077466277716613907746955624553525077938264182287995005134215776975350080157775021549629611558531485770997427077120 binary64)) (not (<=.f64 y #s(literal 2400000000000000148312898321799981037607501786919005672668538997253604413422059304188593023827483024324261240318756016054332323903383106015522245448659968663264877352503297972102172186871590209716224 binary64)))) (.f64 c (log.f64 #s(approx (+ 1 ( (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (.f64 (.f64 (expm1.f64 x) c) y))
(if (<=.f64 c #s(literal 5558020283391177/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 x c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (.f64 (.f64 c y) x))

soundness754.0ms (5.8%)

Memory

30.8MiB live, 781.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	288
0	78	288
1	302	288
2	2380	288
0	9805	262
0	283	1289
1	1139	1110
2	4646	1080
0	8124	1006
0	644	2825
1	2407	2689
0	9579	2363
0	11	46
0	18	46
1	72	46
2	472	40
3	4703	40
0	8213	25

Stop Event

1×	fuel
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×	node limit
1×	iter limit

Compiler

Compiled 1 003 to 440 computations (56.1% saved)

preprocess74.0ms (0.6%)

Memory: 20.5MiB live, 154.5MiB allocated
Remove: (negabs c)
Compiler: Compiled 726 to 262 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze282.0ms (2.2%)

sample3.2s (24.8%)

explain246.0ms (1.9%)

preprocess185.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify168.0ms (1.3%)

localize82.0ms (0.6%)

series204.0ms (1.6%)

simplify183.0ms (1.4%)

rewrite201.0ms (1.5%)

eval65.0ms (0.5%)

prune47.0ms (0.4%)

simplify168.0ms (1.3%)

localize307.0ms (2.3%)

series242.0ms (1.8%)

simplify150.0ms (1.1%)

rewrite279.0ms (2.1%)

eval67.0ms (0.5%)

prune43.0ms (0.3%)

simplify133.0ms (1%)

localize851.0ms (6.5%)

series600.0ms (4.6%)

simplify555.0ms (4.3%)

rewrite416.0ms (3.2%)

eval195.0ms (1.5%)

prune58.0ms (0.4%)

simplify158.0ms (1.2%)

localize406.0ms (3.1%)

series1.1s (8.5%)

simplify211.0ms (1.6%)

rewrite263.0ms (2%)

eval245.0ms (1.9%)

prune48.0ms (0.4%)

regimes145.0ms (1.1%)

regimes114.0ms (0.9%)

regimes14.0ms (0.1%)

regimes17.0ms (0.1%)

regimes46.0ms (0.4%)

regimes34.0ms (0.3%)

regimes78.0ms (0.6%)

regimes5.0ms (0%)

bsearch38.0ms (0.3%)

bsearch42.0ms (0.3%)

bsearch2.0ms (0%)

bsearch43.0ms (0.3%)

bsearch156.0ms (1.2%)

bsearch37.0ms (0.3%)

simplify58.0ms (0.4%)

soundness754.0ms (5.8%)

preprocess74.0ms (0.6%)

end0.0ms (0%)

Profiling