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)

sample880.0ms (14.7%)

Memory

28.0MiB live, 387.4MiB allocated

Samples

607.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-acosh: 181.0ms (84.5% of total)

ival->=: 23.0ms (10.7% of total)

exact: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain169.0ms (2.8%)

Memory

-6.3MiB live, 114.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
121	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	-	`(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	121	0
↳	`(*.f32 x x)`	overflow	121
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	121

Confusion

	Predicted +	Predicted -
+	121	0
-	0	135

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	0	1	134

Precision?

0.9918032786885246

Recall?

1.0

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 28.0ms (66.3% of total)

ival-log: 5.0ms (11.8% of total)

ival-sub: 3.0ms (7.1% of total)

ival-sqrt: 3.0ms (7.1% of total)

ival-add: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess276.0ms (4.6%)

Memory

-24.6MiB live, 257.4MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify409.0ms (6.8%)

Memory

15.1MiB live, 212.7MiB 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)

localize21.0ms (0.4%)

Memory

5.1MiB live, 43.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.010097509768442016	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.01953125	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	0.03515625	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	13.11255188257668	(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 (22.8% of total)

ival-mult: 2.0ms (22.8% of total)

ival-sqrt: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% 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

7.8MiB live, 7.8MiB 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)))

simplify146.0ms (2.4%)

Memory

-8.2MiB live, 150.2MiB 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))

rewrite196.0ms (3.3%)

Memory

-0.9MiB live, 239.6MiB 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)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 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))))
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(/.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)))
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(/.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)))))

eval39.0ms (0.6%)

Memory: 20.7MiB live, 58.7MiB allocated
Compiler: Compiled 8 208 to 1 577 computations (80.8% saved)

prune18.0ms (0.3%)

Memory

-17.9MiB live, 20.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	353	4	357
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	353	5	358

Accuracy

100.0%

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	55.7%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
▶	98.9%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	97.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	97.9%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Compiler

Compiled 71 to 52 computations (26.8% saved)

simplify325.0ms (5.4%)

Memory

15.5MiB live, 218.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
cost-diff	0	(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
cost-diff	5	(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
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)))))
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	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	187
0	49	171
1	76	171
2	129	171
3	241	171
4	437	171
5	1377	171
6	3726	171
7	5808	171
8	6688	171
9	7578	171
0	8017	161

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x 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)
#s(literal 2 binary32)
x
(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 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
x
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 x (-.f32 x #s(literal 1 binary32)))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x 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)
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x 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)
#s(literal 2 binary32)
x
(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 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 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 #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
x
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 x (-.f32 x #s(literal 1 binary32)))
(*.f32 (-.f32 x #s(literal 1 binary32)) x)

localize80.0ms (1.3%)

Memory

-32.1MiB live, 126.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
accuracy	0.03515625	(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
accuracy	0.06640625	(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
accuracy	13.11255188257668	(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
accuracy	0.0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.01953125	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
accuracy	0.03515625	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.3842846959761498	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.01953125	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.9025816735004242	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.0234375	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
accuracy	0.2890625	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.3633736207892331	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
accuracy	0.616522777658102	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

Samples

62.0ms

256×

valid

Compiler

Compiled 151 to 26 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 22.0ms (42.9% of total)

ival-log: 13.0ms (25.3% of total)

ival-mult: 5.0ms (9.7% of total)

ival-sub: 4.0ms (7.8% of total)

ival-div: 3.0ms (5.8% of total)

ival-sqrt: 3.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (1.3%)

Memory

16.8MiB live, 130.8MiB allocated

Counts

16 → 51

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 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 (+.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))
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 x 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)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+ (log 2) (log x))
(log 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)
(+ (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)
-1
(- (pow x 2) 1)
(/ 1/4 (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))))
(* -1 (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)))))
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))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 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)))

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (/ 1/4 (* x x)))
20.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (/ 1/4 (* x x)))
15.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (/ 1/4 (* x x)))

Time

Variable

Point

Expression

44.0ms

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (/ 1/4 (* x x)))

20.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (/ 1/4 (* x x)))

15.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (/ 1/4 (* x x)))

simplify134.0ms (2.2%)

Memory

32.5MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	604
1	459	579
2	1323	558
3	3821	525
0	8282	503

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

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)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+ (log 2) (log x))
(log 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)
(+ (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)
-1
(- (pow x 2) 1)
(/ 1/4 (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))))
(* -1 (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)))))
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))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 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)))

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)))))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (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) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log x)
(log.f32 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 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(+ (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))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x 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 x)))
(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))
(+ (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)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/ 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))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))

rewrite231.0ms (3.9%)

Memory

-30.8MiB live, 249.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	162
0	49	143
1	197	143
2	1538	143
0	8162	131

Stop Event

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

Counts

16 → 582

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 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 (+.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))
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

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

eval69.0ms (1.1%)

Memory: 29.7MiB live, 108.6MiB allocated
Compiler: Compiled 18 733 to 2 708 computations (85.5% saved)

prune10.0ms (0.2%)

Memory

-3.1MiB live, 33.2MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	626	2	628
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	628	5	633

Accuracy

100.0%

Counts

633 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	98.9%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	97.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	98.8%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 84 to 62 computations (26.2% saved)

simplify192.0ms (3.2%)

Memory

-5.9MiB live, 188.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
cost-diff	0	(*.f32 x x)
cost-diff	0	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	102
0	31	102
1	51	102
2	73	102
3	120	102
4	195	102
5	324	102
6	708	102
7	1246	102
8	2909	102
9	4386	102
10	5654	102
11	6234	102
12	6435	102
13	6599	102
14	7171	102
0	8103	100

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
#s(literal -1/4 binary32)
(*.f32 x x)
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
#s(literal -1/4 binary32)
(*.f32 x x)
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)

localize56.0ms (0.9%)

Memory

10.9MiB live, 49.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f32 (*.f32 #s(literal 2 binary32) x))
accuracy	0.0234375	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
accuracy	0.3633736207892331	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
accuracy	0.616522777658102	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
accuracy	0.0	(*.f32 x x)
accuracy	0.3633736207892331	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
accuracy	0.616522777658102	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
accuracy	30.32190023330082	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))

Samples

46.0ms

256×

valid

Compiler

Compiled 69 to 21 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 18.0ms (47% of total)

ival-log: 9.0ms (23.5% of total)

ival-mult: 3.0ms (7.8% of total)

ival-sub: 3.0ms (7.8% of total)

ival-add: 2.0ms (5.2% of total)

ival-sqrt: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series121.0ms (2%)

Memory

-4.8MiB live, 114.7MiB allocated

Counts

9 → 22

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(*.f32 x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1/4 binary32) (*.f32 x 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)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(pow x 2)
(+ (log 2) (log x))
(* 2 x)
(/ 1/4 (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))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))

Calls

3 calls:

Time

Variable

Point

Expression

77.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ -1/4 (* x x)) (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (log (* 2 x)) (/ 1/4 (* x x))) (log (* 2 x)) (* 2 x) (/ 1/4 (* x x)))

34.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ -1/4 (* x x)) (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (log (* 2 x)) (/ 1/4 (* x x))) (log (* 2 x)) (* 2 x) (/ 1/4 (* x x)))

9.0ms

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ -1/4 (* x x)) (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (log (* 2 x)) (/ 1/4 (* x x))) (log (* 2 x)) (* 2 x) (/ 1/4 (* x x)))

simplify123.0ms (2%)

Memory

15.3MiB live, 136.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	280
1	222	266
2	604	259
3	1472	253
4	3649	253
5	6336	245
0	8091	241

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

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)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(pow x 2)
(+ (log 2) (log x))
(* 2 x)
(/ 1/4 (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))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))

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 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3/40 binary32)) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (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)))))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(pow x 2)
(*.f32 x x)
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x 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)))
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (neg.f32 x)))
(+ (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 #s(literal -1/2 binary32))) (log.f32 (neg.f32 x)))
(+ (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))) (log.f32 (neg.f32 x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))

rewrite185.0ms (3.1%)

Memory

10.5MiB live, 202.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	94
0	31	92
1	129	92
2	919	92
0	8385	86

Stop Event

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

Counts

9 → 254

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(*.f32 x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

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

eval134.0ms (2.2%)

Memory: -31.7MiB live, 53.4MiB allocated
Compiler: Compiled 11 003 to 1 182 computations (89.3% saved)

prune7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	287	4	291
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	287	9	296

Accuracy

100.0%

Counts

296 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	98.9%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	97.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
✓	98.8%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))

Compiler

Compiled 199 to 145 computations (27.1% saved)

simplify267.0ms (4.5%)

Memory

15.3MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal -1/4 binary32) x)
cost-diff	0	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
cost-diff	1	(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))
cost-diff	2	(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))
cost-diff	0	(.f32 (.f32 x x) #s(literal -4 binary32))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) x)
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
cost-diff	2	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	256
0	46	258
1	80	234
2	140	234
3	254	234
4	469	234
5	685	234
6	1245	234
7	1937	234
8	3740	234
9	6096	234
10	7527	234
0	8044	230

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
#s(literal 1 binary32)
(.f32 (.f32 x x) #s(literal -4 binary32))
(*.f32 x x)
x
#s(literal -4 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))
#s(literal 1 binary32)
(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))
(neg.f32 x)
x
(/.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
x

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
#s(literal 1 binary32)
(.f32 (.f32 x x) #s(literal -4 binary32))
(.f32 #s(literal -4 binary32) (.f32 x x))
(*.f32 x x)
x
#s(literal -4 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
#s(literal 1 binary32)
(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))
(.f32 #s(literal -4 binary32) (.f32 x x))
(neg.f32 x)
x
(/.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
x

localize68.0ms (1.1%)

Memory

-1.2MiB live, 109.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f32 #s(literal -1/4 binary32) x)
accuracy	0.1015625	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
accuracy	0.3633736207892331	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
accuracy	30.32190023330082	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
accuracy	0.1484375	(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))
accuracy	0.3633736207892331	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
accuracy	0.7729605199723144	(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))
accuracy	30.32190023330082	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
accuracy	0.0	(*.f32 x x)
accuracy	0.3633736207892331	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
accuracy	0.7729605199723144	(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
accuracy	30.32190023330082	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
accuracy	0.0	(/.f32 #s(literal -1/4 binary32) x)
accuracy	0.234375	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
accuracy	0.3633736207892331	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
accuracy	30.32190023330082	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))

Samples

50.0ms

256×

valid

Compiler

Compiled 148 to 28 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 17.0ms (46.7% of total)

ival-log: 7.0ms (19.2% of total)

ival-mult: 5.0ms (13.7% of total)

ival-add: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-sqrt: 2.0ms (5.5% of total)

exact: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

series43.0ms (0.7%)

Memory

-15.1MiB live, 31.2MiB allocated

Counts

17 → 20

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
(.f32 (.f32 x x) #s(literal -4 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))
(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) x)
(*.f32 x x)

Outputs
(/ -1/4 (pow x 2))
(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)))))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ 1 x)
(* -4 (pow x 2))
(/ -1/4 x)
(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))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))

Calls

3 calls:

Time

Variable

Point

Expression

34.0ms

inf

((* (/ 1 x) (/ -1/4 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 1 x) (/ 1 (* (* x x) -4)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (* (* x x) -4) (/ 1 (/ (neg x) (/ 1/4 x))) (/ (neg x) (/ 1/4 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ (/ -1/4 x) x) (/ -1/4 x) (* x x))

5.0ms

-inf

((* (/ 1 x) (/ -1/4 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 1 x) (/ 1 (* (* x x) -4)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (* (* x x) -4) (/ 1 (/ (neg x) (/ 1/4 x))) (/ (neg x) (/ 1/4 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ (/ -1/4 x) x) (/ -1/4 x) (* x x))

3.0ms

((* (/ 1 x) (/ -1/4 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 1 x) (/ 1 (* (* x x) -4)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (* (* x x) -4) (/ 1 (/ (neg x) (/ 1/4 x))) (/ (neg x) (/ 1/4 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ (/ -1/4 x) x) (/ -1/4 x) (* x x))

simplify179.0ms (3%)

Memory

3.7MiB live, 164.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	258
1	215	244
2	590	237
3	1438	231
4	3612	231
5	6246	225
0	8132	221

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
(/ -1/4 (pow x 2))
(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)))))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ 1 x)
(* -4 (pow x 2))
(/ -1/4 x)
(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))))
(+ (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)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))

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

rewrite134.0ms (2.2%)

Memory

-9.6MiB live, 103.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	237
0	46	207
1	177	207
2	1220	207
0	8288	195

Stop Event

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

Counts

17 → 475

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
(.f32 (.f32 x x) #s(literal -4 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))
(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) x)
(*.f32 x x)

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

eval18.0ms (0.3%)

Memory: 32.5MiB live, 32.5MiB allocated
Compiler: Compiled 7 358 to 1 019 computations (86.2% saved)

prune67.0ms (1.1%)

Memory

-21.8MiB live, 24.7MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	229	5	234
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	230	13	243

Accuracy

100.0%

Counts

243 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	98.9%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	97.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
✓	98.8%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
	5.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) x)) (.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))

Compiler

Compiled 782 to 350 computations (55.2% saved)

regimes71.0ms (1.2%)

Memory

-13.7MiB live, 23.9MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) x)) (.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 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 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

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

Calls

3 calls:

60.0ms	x
5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
5.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.9%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes12.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) x)) (.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x 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 #s(literal 2 binary32) x)))

Calls

3 calls:

4.0ms	x
4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.7%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes83.0ms (1.4%)

Memory

-15.1MiB live, 21.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) x)) (.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))

Outputs

#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))

Calls

3 calls:

75.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	x
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (0.2%)

Memory

24.5MiB live, 24.6MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) x)) (.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))))

Outputs

#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) 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
5.2%	1	`x`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes80.0ms (1.3%)

Memory

-5.8MiB live, 30.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))

Calls

3 calls:

75.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	x

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	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

8.1MiB live, 8.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify187.0ms (3.1%)

Memory

-41.6MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	154
1	79	153
2	117	153
3	195	153
4	372	152
5	799	152
6	1490	152
7	2720	152
8	4882	152
9	7440	152

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Outputs
(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 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

soundness836.0ms (13.9%)

Memory

16.1MiB live, 365.6MiB 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	170	604
1	459	579
2	1323	558
3	3821	525
0	8282	503
0	35	237
0	46	207
1	177	207
2	1220	207
0	8288	195
0	24	94
0	31	92
1	129	92
2	919	92
0	8385	86

Stop Event

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

Compiler

Compiled 339 to 194 computations (42.8% saved)

preprocess37.0ms (0.6%)

Memory: 31.0MiB live, 68.4MiB allocated
Compiler: Compiled 346 to 132 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample880.0ms (14.7%)

explain169.0ms (2.8%)

preprocess276.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify409.0ms (6.8%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify146.0ms (2.4%)

rewrite196.0ms (3.3%)

eval39.0ms (0.6%)

prune18.0ms (0.3%)

simplify325.0ms (5.4%)

localize80.0ms (1.3%)

series81.0ms (1.3%)

simplify134.0ms (2.2%)

rewrite231.0ms (3.9%)

eval69.0ms (1.1%)

prune10.0ms (0.2%)

simplify192.0ms (3.2%)

localize56.0ms (0.9%)

series121.0ms (2%)

simplify123.0ms (2%)

rewrite185.0ms (3.1%)

eval134.0ms (2.2%)

prune7.0ms (0.1%)

simplify267.0ms (4.5%)

localize68.0ms (1.1%)

series43.0ms (0.7%)

simplify179.0ms (3%)

rewrite134.0ms (2.2%)

eval18.0ms (0.3%)

prune67.0ms (1.1%)

regimes71.0ms (1.2%)

regimes12.0ms (0.2%)

regimes83.0ms (1.4%)

regimes10.0ms (0.2%)

regimes80.0ms (1.3%)

regimes4.0ms (0.1%)

simplify187.0ms (3.1%)

soundness836.0ms (13.9%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling