Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample539.0ms (11.2%)

Memory

6.8MiB live, 676.4MiB allocated

Samples

394.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-acosh: 189.0ms (72.9% of total)

ival->=: 60.0ms (23.2% of total)

exact: 7.0ms (2.7% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain218.0ms (4.6%)

Memory

-12.3MiB live, 113.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
0	-	-	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	125	0
↳	`(*.f32 x x)`	overflow	125
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	125
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	125
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	125

Confusion

	Predicted +	Predicted -
+	125	0
-	0	131

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	0
-	0	0	131

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	131
1	123
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 5.0ms (28.2% of total)

ival-mult: 4.0ms (22.6% of total)

ival-sqrt: 3.0ms (16.9% of total)

ival-sub: 2.0ms (11.3% of total)

ival-add: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess265.0ms (5.5%)

Memory

16.9MiB live, 201.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	298	9
7	578	9
8	2337	9
9	3439	9
10	4718	9
11	5410	9
12	5718	9
13	5904	9
14	6006	9
15	6325	9
16	6819	9
17	7862	9
0	8072	8

Stop Event

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

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify303.0ms (6.3%)

Memory

-8.4MiB live, 232.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff	1	(-.f32 (*.f32 x x) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	21	33
2	25	33
3	40	33
4	71	33
5	132	33
6	298	33
7	578	33
8	2337	33
9	3439	33
10	4718	33
11	5410	33
12	5718	33
13	5904	33
14	6006	33
15	6325	33
16	6819	33
17	7862	33
0	8072	29

Stop Event

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

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize47.0ms (1%)

Memory

-10.3MiB live, 27.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.02734375	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.24551647556073183	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	13.415975927585185	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

14.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 2.0ms (22.9% of total)

ival-mult: 2.0ms (22.9% of total)

ival-sqrt: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 39

Calls

Call 1

Inputs
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Outputs
-1
(- (pow x 2) 1)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
1.0ms	x	@	-inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
1.0ms	x	@	inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

Time

Variable

Point

Expression

2.0ms

((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

1.0ms

-inf

((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

1.0ms

inf

((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

simplify127.0ms (2.7%)

Memory

24.2MiB live, 134.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	519
1	411	493
2	1170	486
3	3366	448
0	8112	426

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

Outputs
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))

rewrite466.0ms (9.7%)

Memory

-133.4MiB live, 221.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	49	28
2	322	28
3	3638	28
0	8656	24

Stop Event

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

Counts

4 → 320

Calls

Call 1

Inputs
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Outputs
(expm1.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 1 binary32)))
(expm1.f32 (log.f32 (*.f32 x x)))
(.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (.f32 x x)))))
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))))
(*.f32 (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))) (exp.f32 (log1p.f32 x)))
(.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal 1 binary32)))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (*.f32 x x)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (*.f32 x x))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)) (.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
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(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))))
(/.f32 (.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) (fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(/.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32)))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 (/.f32 (.f32 x x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

eval42.0ms (0.9%)

Memory: -3.5MiB live, 77.8MiB allocated
Compiler: Compiled 8 208 to 1 577 computations (80.8% saved)

prune7.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	352	5	357
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	352	6	358

Accuracy

100.0%

Counts

358 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.1%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	0.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
▶	96.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	96.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Compiler

Compiled 143 to 109 computations (23.8% saved)

simplify369.0ms (7.7%)

Memory

-9.1MiB live, 221.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f32 #s(literal 2 binary32))
cost-diff	0	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
cost-diff	0	(fma.f32 x x #s(literal -1 binary32))
cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff	0	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
cost-diff	0	(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	176
0	47	168
1	64	168
2	74	168
3	103	168
4	157	168
5	298	168
6	613	168
7	1191	168
8	2829	168
9	4525	168
10	5592	168
11	6036	168
12	6144	168
13	6223	168
14	6299	168
15	7021	168
16	7677	168
0	8109	168

Stop Event

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

Calls

Call 1

Inputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
x
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
#s(literal 2 binary32)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)

Outputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
x
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
#s(literal 2 binary32)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)

localize72.0ms (1.5%)

Memory

-3.6MiB live, 83.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f32 x)
accuracy	0.0	(log.f32 #s(literal 2 binary32))
accuracy	0.2890625	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.8613439503969035	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
accuracy	0.02734375	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.24551647556073183	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	13.415975927585185	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	31.42905052903585	(fma.f32 x x #s(literal -1 binary32))
accuracy	0.0	(/.f32 #s(literal -1/2 binary32) x)
accuracy	0.24551647556073183	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.4480077915395545	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.07018967095918	(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24551647556073183	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	1.0317338477899678	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.02734375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.24551647556073183	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
accuracy	0.4977399930633184	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))

Samples

56.0ms

256×

valid

Compiler

Compiled 137 to 25 computations (81.8% saved)

Precisions

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

ival-log: 9.0ms (33.1% of total)

ival-add: 5.0ms (18.4% of total)

ival-div: 4.0ms (14.7% of total)

ival-mult: 3.0ms (11% of total)

ival-sqrt: 3.0ms (11% of total)

ival-sub: 2.0ms (7.3% of total)

exact: 1.0ms (3.7% of total)

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

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

series81.0ms (1.7%)

Memory

14.1MiB live, 134.0MiB allocated

Counts

19 → 49

Calls

Call 1

Inputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(log.f32 #s(literal 2 binary32))

Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(* 2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
-1
(- (pow x 2) 1)
(+ (log 2) (log x))
(log x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))
24.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))
13.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))

Time

Variable

Point

Expression

44.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))

24.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))

13.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))

simplify306.0ms (6.4%)

Memory

-7.3MiB live, 181.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	578
1	456	552
2	1272	529
3	3635	502
0	8298	478

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(* 2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
-1
(- (pow x 2) 1)
(+ (log 2) (log x))
(log x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (pow x 2) 1/2) x)
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log x)
(log.f32 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 2 binary32))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))

rewrite229.0ms (4.8%)

Memory

7.4MiB live, 211.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	162
0	47	152
1	173	152
2	1186	152
0	8433	152

Stop Event

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

Counts

19 → 420

Calls

Call 1

Inputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(log.f32 #s(literal 2 binary32))

Outputs
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (fma.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (.f32 x x))) (.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))
(-.f32 (log.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
(-.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))))
(+.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (neg.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(+.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))))
(.f32 (-.f32 (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))
(.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
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(+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (.f32 x #s(literal 1/2 binary32))))))
(*.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))
(.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (.f32 x #s(literal 1/2 binary32)))))
(.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))))
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(.f32 #s(literal 1 binary32) (log.f32 (.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (.f32 (log.f32 (.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (.f32 (log.f32 (.f32 x #s(literal 1/2 binary32))) (log.f32 (*.f32 x #s(literal 1/2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (log.f32 (*.f32 x #s(literal 1/2 binary32))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32))))))
(pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 x)
(log.f32 #s(literal 2 binary32))

eval59.0ms (1.2%)

Memory: 22.6MiB live, 59.9MiB allocated
Compiler: Compiled 12 144 to 1 923 computations (84.2% saved)

prune33.0ms (0.7%)

Memory

-18.7MiB live, 24.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	460	2	462
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	462	6	468

Accuracy

100.0%

Counts

468 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	98.0%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
✓	96.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
✓	96.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
▶	97.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Compiler

Compiled 84 to 65 computations (22.6% saved)

simplify323.0ms (6.7%)

Memory

3.4MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
cost-diff	1	(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	23	78
1	37	78
2	51	78
3	77	78
4	126	78
5	209	78
6	498	78
7	889	78
8	2361	78
9	3870	78
10	4855	78
11	5291	78
12	5525	78
13	5615	78
14	5696	78
15	6430	78
16	7242	78
17	7658	78
18	7743	78
19	7775	78
20	7789	78
0	8039	72

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)

localize70.0ms (1.5%)

Memory

3.3MiB live, 76.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24551647556073183	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.4480077915395545	#s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0.0	(/.f32 #s(literal 1/2 binary32) x)
accuracy	0.0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0.0234375	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.8613439503969035	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Samples

62.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sqrt: 40.0ms (72.7% of total)

ival-log: 5.0ms (9.1% of total)

ival-mult: 3.0ms (5.5% of total)

ival-div: 2.0ms (3.6% of total)

ival-sub: 2.0ms (3.6% of total)

ival-add: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series96.0ms (2%)

Memory

4.5MiB live, 89.4MiB allocated

Counts

8 → 32

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 #s(literal 2 binary32) x)

Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))

Calls

3 calls:

Time

Variable

Point

Expression

73.0ms

((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (- (* 2 x) (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x))

16.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (- (* 2 x) (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x))

7.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (- (* 2 x) (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x))

simplify205.0ms (4.3%)

Memory

-16.1MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	394
1	372	372
2	979	364
3	2741	348
4	6295	348
0	8077	334

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))

Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/40 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 1/8 binary32) x) x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))

rewrite155.0ms (3.2%)

Memory

7.2MiB live, 200.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	70
0	23	70
1	88	68
2	651	68
3	7457	68
0	8225	62

Stop Event

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

Counts

8 → 310

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 #s(literal 2 binary32) x)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(*.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32))
(/.f32 (.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1 binary32)) (log.f32 (.f32 x #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) #s(literal -1 binary32)) (fma.f32 (log.f32 x) (log.f32 (.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (log.f32 (.f32 x #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (fma.f32 (log.f32 x) (log.f32 (.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (log.f32 (*.f32 x #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (fma.f32 (log.f32 x) (log.f32 (*.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)))) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log.f32 x) (log.f32 (*.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x))))
(fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 0 binary32))
(fma.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal -1 binary32) (*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32)))
(fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32) #s(literal 0 binary32))
(+.f32 (log.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32))))
(+.f32 (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) (log.f32 #s(literal 2 binary32)))
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (neg.f32 x)))
(+.f32 (.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal -1 binary32)) (.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32)))
(+.f32 (.f32 #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) (.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal -2 binary32) x)))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 (neg.f32 x) #s(literal 1 binary32))))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -2 binary32)))
(+.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (.f32 x #s(literal 1/2 binary32)))))
(.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 x) (log.f32 (.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) x)))
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 #s(literal -1/2 binary32))) (.f32 (log.f32 (neg.f32 x)) (log.f32 (neg.f32 x)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 x))))
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(fma.f32 (/.f32 (.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 64 binary32) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 16 binary32) (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal 4 binary32) (.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(fma.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))))) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (.f32 #s(literal 4 binary32) x) x (/.f32 #s(literal -1/4 binary32) (.f32 x x)))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal -2 binary32) (*.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal -2 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal -2 binary32) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (.f32 #s(literal 4 binary32) x) (/.f32 x (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 (pow.f32 (.f32 #s(literal 2 binary32) x) #s(literal 3/2 binary32)) (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) x) #s(literal 3/2 binary32)) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) x))
(fma.f32 (.f32 (.f32 #s(literal 2 binary32) x) x) (/.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 #s(literal 4 binary32) (/.f32 (.f32 x x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 #s(literal 8 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x))
(fma.f32 (.f32 #s(literal 2 binary32) x) (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(fma.f32 (.f32 #s(literal 2 binary32) x) (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(fma.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 (.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 8 binary32) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(fma.f32 (neg.f32 x) #s(literal -2 binary32) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x))
(fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) x) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 #s(literal 2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal 2 binary32) x))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (.f32 x x) (/.f32 #s(literal 4 binary32) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 x (/.f32 (.f32 #s(literal 4 binary32) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #s(literal -1 binary32))
(+.f32 (.f32 (.f32 #s(literal 4 binary32) x) (/.f32 x (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) (*.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x)) x))))
(+.f32 (/.f32 (.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
(+.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (.f32 #s(literal 4 binary32) x) x (/.f32 #s(literal -1/4 binary32) (.f32 x x)))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (/.f32 (neg.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32))))) (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal 4 binary32) x) x (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (fma.f32 #s(literal -2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 #s(literal 4 binary32) x) x (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32))))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) #s(literal 1 binary32)))
(.f32 #s(literal -2 binary32) (.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal -2 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))
(*.f32 #s(literal -2 binary32) (neg.f32 x))
(.f32 #s(literal -1 binary32) (.f32 #s(literal -2 binary32) x))
(.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(*.f32 #s(literal 2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 #s(literal 2 binary32) x)
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) x))
(*.f32 x #s(literal 2 binary32))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(/.f32 (neg.f32 x) #s(literal -1/2 binary32))
(/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 x #s(literal 1/2 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x))
(pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32))
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)))
(neg.f32 (*.f32 #s(literal -2 binary32) x))

eval50.0ms (1%)

Memory: 4.6MiB live, 89.6MiB allocated
Compiler: Compiled 9 130 to 1 492 computations (83.7% saved)

prune44.0ms (0.9%)

Memory

-21.3MiB live, 17.7MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	364	0	364
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	364	6	370

Accuracy

100.0%

Counts

370 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	98.0%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
✓	96.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
✓	96.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
✓	97.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Compiler

Compiled 192 to 108 computations (43.8% saved)

regimes9.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Outputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))

Calls

3 calls:

3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.0%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))

Outputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))

Calls

3 calls:

2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.0%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes23.0ms (0.5%)

Memory

-25.5MiB live, 11.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))

#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Calls

3 calls:

2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	x

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))

Outputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))

Calls

3 calls:

1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
1.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms	x

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
96.6%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify104.0ms (2.2%)

Memory

10.9MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	60
1	38	60
2	54	60
3	93	60
4	186	60
5	407	60
6	976	60
7	2396	60
8	3667	60
9	7031	60

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))

Outputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))

soundness505.0ms (10.5%)

Memory

1.1MiB live, 362.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	519
1	411	493
2	1170	486
3	3366	448
0	8112	426
0	31	162
0	47	152
1	173	152
2	1186	152
0	8433	152

Stop Event

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

Compiler

Compiled 107 to 63 computations (41.1% saved)

preprocess29.0ms (0.6%)

Memory: -6.0MiB live, 68.6MiB allocated
Compiler: Compiled 162 to 78 computations (51.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample539.0ms (11.2%)

explain218.0ms (4.6%)

preprocess265.0ms (5.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify303.0ms (6.3%)

localize47.0ms (1%)

series5.0ms (0.1%)

simplify127.0ms (2.7%)

rewrite466.0ms (9.7%)

eval42.0ms (0.9%)

prune7.0ms (0.1%)

simplify369.0ms (7.7%)

localize72.0ms (1.5%)

series81.0ms (1.7%)

simplify306.0ms (6.4%)

rewrite229.0ms (4.8%)

eval59.0ms (1.2%)

prune33.0ms (0.7%)

simplify323.0ms (6.7%)

localize70.0ms (1.5%)

series96.0ms (2%)

simplify205.0ms (4.3%)

rewrite155.0ms (3.2%)

eval50.0ms (1%)

prune44.0ms (0.9%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes23.0ms (0.5%)

regimes4.0ms (0.1%)

simplify104.0ms (2.2%)

soundness505.0ms (10.5%)

preprocess29.0ms (0.6%)

end0.0ms (0%)

Profiling