Metrics for Rust f32::acosh

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample572.0ms (14.5%)

Memory

22.4MiB live, 1 087.1MiB allocated

Samples

473.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 345.0ms

ival-acosh: 312.0ms (90.3% of total)

ival->=: 24.0ms (6.9% of total)

...in/eval/compile.rkt:76:19: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess396.0ms (10.1%)

Memory

-32.3MiB live, 85.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 038×	`sub-neg`
974×	`unsub-neg`
840×	`distribute-neg-in`
832×	`fma-define`
776×	`distribute-rgt-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	34	68
2	42	68
3	60	68
4	103	68
5	189	68
6	515	68
7	1223	68
8	3004	68
9	4399	68
10	5506	68
11	5959	68
12	6156	68
13	6229	68
14	6308	68
15	7011	68
16	7834	68

Stop Event

1×	node limit

Calls

Call 1

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

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

explain120.0ms (3%)

Memory

2.2MiB live, 251.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
148	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
1	-	-	`(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	148	0
↳	`(*.f32 x x)`	overflow	148
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	148
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	1	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	1
↳	`(*.f32 x x)`	overflow	148
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	148

Confusion

	Predicted +	Predicted -
+	148	0
-	0	108

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	148	0	0
-	0	0	108

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	108
1	147
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 6.0ms (29.3% of total)

ival-add: 4.0ms (19.5% of total)

ival-sqrt: 4.0ms (19.5% of total)

ival-sub: 3.0ms (14.6% of total)

ival-mult: 3.0ms (14.6% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify220.0ms (5.6%)

Memory

-6.6MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-3136	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
✓	cost-diff	-3136	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	cost-diff	-3136	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	cost-diff	0	(*.f32 x x)

Rules

1 734×	`fmm-def`
1 118×	`unsub-neg`
1 018×	`sub-neg`
858×	`distribute-neg-in`
660×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	112
1	26	112
2	30	112
3	45	112
4	84	112
5	160	112
6	369	112
7	766	112
8	2570	112
9	4516	112
10	5845	112
11	6521	112
12	6822	112
13	7007	112
14	7109	112
15	7428	112
16	7974	112

Stop Event

1×	node 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 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
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)

localize49.0ms (1.3%)

Memory

12.9MiB live, 52.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	99.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	50.4%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

41.0ms

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: 3.0ms (32.4% of total)

ival-mult: 2.0ms (21.6% of total)

ival-sqrt: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series9.0ms (0.2%)

Memory

-20.2MiB live, 18.6MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (- (* x x) 1))))
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(sqrt (- (* x x) 1))

rewrite250.0ms (6.4%)

Memory

25.4MiB live, 418.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 194×	`unpow-prod-down`
812×	`fma-define`
693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
622×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	104
1	155	104
2	2076	104

Stop Event

1×	node limit

Counts

5 → 315

Calls

Call 1

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

Outputs
(+.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 2 binary32)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))) (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32)))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
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(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))
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(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)))
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(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))
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(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
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(pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
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(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
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(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
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(exp.f32 (.f32 (.f32 #s(literal 1/4 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
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(+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32)))
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(+.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))
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(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1 binary32)))
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(*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #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 4 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
(*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 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 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (fma.f32 x x #s(literal -1 binary32)))
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(.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (cbrt.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 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)))
(.f32 (pow.f32 (.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(.f32 (pow.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/3 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #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 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 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 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) #s(literal 6 binary32))
(pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 4 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 x x #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(log1p.f32 (expm1.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) x) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 x) #s(literal -1 binary32))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 x) #s(literal -1 binary32))

simplify194.0ms (4.9%)

Memory

18.7MiB live, 334.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 172×	`times-frac`
776×	`fmm-def`
682×	`associate-r`
658×	`associate-l`
528×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	835	8589949875
1	1682	8589949487
2	4979	8589948590

Stop Event

1×	node limit

Counts

375 → 499

Calls

Call 1

Inputs
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
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(.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 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 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (cbrt.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 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)))
(.f32 (pow.f32 (.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(.f32 (pow.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/3 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))))
(/.f32 #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 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 2 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 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/6 binary32)) #s(literal 6 binary32))
(pow.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 4 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 x x #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(log1p.f32 (expm1.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) x) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 x) #s(literal -1 binary32))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 x) #s(literal -1 binary32))

Outputs
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(fma.f32 x (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 #s(literal 1/6 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(fma.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (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 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/6 binary32) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (neg.f32 (log.f32 x)))) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)) (neg.f32 (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))))) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
(+.f32 (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 2 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))))
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(fma.f32 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
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(fma.f32 x x #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 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)))
(fma.f32 x x #s(literal -1 binary32))
(log.f32 (exp.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 x x #s(literal -1 binary32))
(cbrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(fma.f32 x x #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(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 2 binary32))) #s(literal 1/2 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (*.f32 (cbrt.f32 x) x) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 x) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 x) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))

eval99.0ms (2.5%)

Memory: -24.8MiB live, 88.2MiB allocated
Compiler: Compiled 9 090 to 1 971 computations (78.3% saved)

prune70.0ms (1.8%)

Memory

31.0MiB live, 145.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	496	3	499
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	496	4	500

Accuracy

100.0%

Counts

500 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	45.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.8%	(log.f32 (+.f32 x x))
▶	98.8%	(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify144.0ms (3.6%)

Memory

-27.8MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(log.f32 #s(literal 2 binary32))
✓	cost-diff	0	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	cost-diff	0	(+.f32 x x)
✓	cost-diff	0	(log.f32 (+.f32 x x))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
✓	cost-diff	96	(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
✓	cost-diff	96	(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))

Rules

1 852×	`fma-define`
1 652×	`fmm-def`
1 046×	`div-sub`
666×	`times-frac`
546×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	184
1	24	184
2	42	184
3	87	184
4	183	164
5	354	164
6	576	164
7	1248	164
8	3268	164
9	4794	164
10	6117	164
11	6839	164
12	7368	164

Stop Event

1×	node limit

Calls

Call 1

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

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

localize146.0ms (3.7%)

Memory

11.8MiB live, 48.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.6%	(log.f32 (+.f32 x x))
✓	accuracy	100.0%	(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))
✓	accuracy	100.0%	(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))
✓	accuracy	99.6%	(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
✓	accuracy	96.6%	(/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))

Samples

131.0ms

256×

valid

Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-log: 114.0ms (92% of total)

ival-pow2: 3.0ms (2.4% of total)

ival-div: 2.0ms (1.6% of total)

ival-add: 2.0ms (1.6% of total)

ival-mult: 2.0ms (1.6% of total)

ival-sub: 1.0ms (0.8% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series196.0ms (5%)

Memory

-2.0MiB live, 149.0MiB allocated

Counts

9 → 76

Calls

Call 1

Inputs
#<alt (log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (log.f32 (+.f32 x x))>
#<alt (+.f32 x x)>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))>
#<alt (log.f32 #s(literal 2 binary32))>
#<alt (log.f32 x)>

Outputs
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 x)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (log.f32 x))))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 x)) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 4 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 x)) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 8 binary32))) #s(literal 4 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (/.f32 #s(literal -1/2 binary32) x)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))>
#<alt (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))>
#<alt #s(literal 2 binary32)>
#<alt (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt #s(literal 2 binary32)>
#<alt (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>

Calls

24 calls:

Time	Variable		Point	Expression
92.0ms	x	@	-inf	(+ (log 2) (log x))
32.0ms	x	@	0	(log (+ x x))
24.0ms	x	@	-inf	(log (+ x x))
19.0ms	x	@	inf	(+ (log 2) (log x))
17.0ms	x	@	0	(+ (log 2) (log x))

rewrite150.0ms (3.8%)

Memory

12.5MiB live, 132.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 744×	`prod-diff`
1 136×	`log1p-expm1-u`
523×	`expm1-log1p-u`
164×	`associate-r`
108×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	155
1	259	146
2	3438	146

Stop Event

1×	node limit

Counts

9 → 267

Calls

Call 1

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

Outputs
(+.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(+.f32 (log.f32 x) (.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32)))
(+.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 x))
(+.f32 #s(literal 0 binary32) (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(+.f32 (log.f32 (sqrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (log.f32 (sqrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))) #s(literal 1 binary32))
(.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (pow.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(.f32 (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 (.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) (.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (-.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(log1p.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(+.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (.f32 x (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(+.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))) x))
(-.f32 (exp.f32 (log1p.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 1 binary32))
(/.f32 (.f32 x (-.f32 #s(literal 8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal -2 binary32)))))
(/.f32 (.f32 x (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))))) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32)))) x) (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal -2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) x) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(pow.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))) (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(sqrt.f32 (pow.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(cbrt.f32 (pow.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(log1p.f32 (expm1.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(exp.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))
(+.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))) #s(literal 2 binary32))
(.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(.f32 (cbrt.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (pow.f32 (cbrt.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(.f32 (sqrt.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (sqrt.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(.f32 (-.f32 #s(literal 8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal -2 binary32))))))
(.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal -2 binary32)))) (-.f32 #s(literal 8 binary32) (*.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (-.f32 #s(literal 8 binary32) (*.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal -2 binary32)))))
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 8 binary32) (*.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal -2 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(/.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (-.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))) #s(literal 3 binary32)))
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(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(log1p.f32 (-.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (log1p.f32 #s(literal 1 binary32)) (log.f32 x))
(fma.f32 #s(literal 1 binary32) (log.f32 x) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log1p.f32 #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 #s(literal 1 binary32))))
(pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 #s(literal 1 binary32))))
(log1p.f32 #s(literal 1 binary32))
(exp.f32 (log.f32 (log1p.f32 #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (log.f32 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 x))) #s(literal 1 binary32))
(*.f32 (log.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 x))
(*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)))
(*.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))
(pow.f32 (log.f32 x) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 x)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 x)))
(log1p.f32 (-.f32 x #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 x)))
(exp.f32 (*.f32 (log.f32 (log.f32 x)) #s(literal 1 binary32)))

simplify58.0ms (1.5%)

Memory

7.1MiB live, 120.4MiB allocated

Algorithm

1×	egg-herbie

Rules

116×	`*-commutative`
94×	`+-commutative`
72×	`sub-neg`
44×	`unpow2`
36×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	524	3708
1	1573	3708

Stop Event

1×

unsound

Counts

343 → 308

Calls

Call 1

Inputs
(+.f32 (log.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (log.f32 x))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 x)) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 4 binary32)))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 x)) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 8 binary32))) #s(literal 4 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) x)
(*.f32 #s(literal 2 binary32) x)
(.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(.f32 x (-.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal 2 binary32) x)
(.f32 #s(literal -1 binary32) (.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
(.f32 #s(literal -1 binary32) (.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
(.f32 #s(literal -1 binary32) (.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 2 binary32)))
#s(literal 2 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(literal 2 binary32)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))
(+.f32 (log.f32 x) (.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 1 binary32)))
(+.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 x))
(+.f32 #s(literal 0 binary32) (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(+.f32 (log.f32 (sqrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (log.f32 (sqrt.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))) #s(literal 1 binary32))
(.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (pow.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(.f32 (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 (.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) (.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (.f32 (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) (-.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))))
(pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32)))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))))))))
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(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (log1p.f32 #s(literal 1 binary32)) (log.f32 x))
(fma.f32 #s(literal 1 binary32) (log.f32 x) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 0 binary32)))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(.f32 #s(literal 2 binary32) (.f32 x (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (+.f32 (cbrt.f32 x) (cbrt.f32 x)))
(*.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 x #s(literal 2 binary32)))
(*.f32 (cbrt.f32 #s(literal 2 binary32)) (cbrt.f32 x))
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 x))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (cbrt.f32 x))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))
(.f32 (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32)) x)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x #s(literal 0 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
(/.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (cbrt.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (fma.f32 x x #s(literal 0 binary32)) (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (sqrt.f32 #s(literal 0 binary32)) (sqrt.f32 #s(literal 0 binary32)))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 0 binary32)) (*.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 0 binary32)))
(/.f32 (.f32 #s(literal 0 binary32) (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 0 binary32) (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x x #s(literal 0 binary32)))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (fma.f32 x x #s(literal 0 binary32)))
(/.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 0 binary32))
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 3 binary32))
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/3 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(fabs.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(cbrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(exp.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(literal 1 binary32) x x)
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (cbrt.f32 x) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 x x #s(literal 0 binary32))))
(-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(-.f32 (/.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(*.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(*.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log1p.f32 #s(literal 1 binary32)))))))
(*.f32 (-.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log1p.f32 #s(literal 1 binary32))))) (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (-.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log1p.f32 #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (log1p.f32 #s(literal 1 binary32)) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 #s(literal 1 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 3 binary32)) (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log1p.f32 #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 #s(literal 1 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 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (log.f32 x) (log1p.f32 #s(literal 1 binary32))))
(pow.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)))
(log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(log1p.f32 (-.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (log1p.f32 #s(literal 1 binary32)) (log.f32 x))
(fma.f32 #s(literal 1 binary32) (log.f32 x) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log1p.f32 #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 #s(literal 1 binary32))))
(pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 #s(literal 1 binary32))))
(log1p.f32 #s(literal 1 binary32))
(exp.f32 (log.f32 (log1p.f32 #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (log.f32 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 x))) #s(literal 1 binary32))
(*.f32 (log.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 x))
(*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)))
(*.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))
(pow.f32 (log.f32 x) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 x)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 x)))
(log1p.f32 (-.f32 x #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 x)))
(exp.f32 (*.f32 (log.f32 (log.f32 x)) #s(literal 1 binary32)))

Outputs
(+.f32 (log.f32 #s(literal -1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (log.f32 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 x)) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 4 binary32)))))
(+.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -1/2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 #s(literal -8 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -4 binary32))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 x)) (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 8 binary32))) #s(literal 4 binary32)))))
(+.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -1/2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 #s(literal -64/3 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -8 binary32)) #s(literal -4 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))))
(log.f32 x)
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -4 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))
(+.f32 (log.f32 x) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal -4 binary32))) #s(literal -1/2 binary32)) (pow.f32 x #s(literal -4 binary32)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (.f32 #s(literal 1/192 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (+.f32 (log.f32 x) (neg.f32 (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal -4 binary32)))) (pow.f32 x #s(literal -4 binary32))))) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -4 binary32))))
(+.f32 (log.f32 #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log.f32 x)
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -4 binary32))))
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(log.f32 x)
(fma.f32 #s(literal 1 binary32) (log.f32 x) (log1p.f32 #s(literal 1 binary32)))
(log.f32 x)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(log.f32 x)
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(log.f32 x)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log1p.f32 #s(literal 1 binary32)))
(log.f32 x)
(fma.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (log.f32 x))
(log.f32 x)
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 #s(literal 1 binary32)))) #s(literal 1 binary32))
#s(literal -4 binary32)
(*.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 1 binary32))
#s(literal -4 binary32)
(*.f32 #s(literal 1 binary32) (log1p.f32 #s(literal 1 binary32)))
#s(literal -4 binary32)
(*.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(literal -4 binary32)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 #s(literal 1 binary32))))
#s(literal -4 binary32)
(*.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) (sqrt.f32 (log1p.f32 #s(literal 1 binary32))))
#s(literal -4 binary32)
(pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 1 binary32))
#s(literal -4 binary32)
(pow.f32 (cbrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 3 binary32))
#s(literal -4 binary32)
(pow.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
#s(literal -4 binary32)
(pow.f32 (sqrt.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 2 binary32))
#s(literal -4 binary32)
(sqrt.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 2 binary32)))
#s(literal -4 binary32)
(cbrt.f32 (pow.f32 (log1p.f32 #s(literal 1 binary32)) #s(literal 3 binary32)))
#s(literal -4 binary32)
(expm1.f32 (log1p.f32 (log1p.f32 #s(literal 1 binary32))))
#s(literal -4 binary32)
(log1p.f32 #s(literal 1 binary32))
#s(literal -4 binary32)
(exp.f32 (log.f32 (log1p.f32 #s(literal 1 binary32))))
#s(literal -4 binary32)
(exp.f32 (*.f32 (log.f32 (log1p.f32 #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal -4 binary32)
(+.f32 #s(literal 0 binary32) (log.f32 x))
(log.f32 x)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32))) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 x) #s(literal -4 binary32))) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(*.f32 #s(literal -4 binary32) (log.f32 (sqrt.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 x))) #s(literal 1 binary32))
(log.f32 x)
(*.f32 (log.f32 x) #s(literal 1 binary32))
(log.f32 x)
(*.f32 #s(literal 1 binary32) (log.f32 x))
(log.f32 x)
(*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)))
(log.f32 x)
(*.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)))
(log.f32 x)
(*.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))
(log.f32 x)
(pow.f32 (log.f32 x) #s(literal 1 binary32))
(log.f32 x)
(pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 3 binary32))
(log.f32 x)
(pow.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 x)
(pow.f32 (sqrt.f32 (log.f32 x)) #s(literal 2 binary32))
(log.f32 x)
(sqrt.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)))
(sqrt.f32 (log.f32 x))
(cbrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)))
(log.f32 x)
(expm1.f32 (log1p.f32 (log.f32 x)))
(log.f32 x)
(log1p.f32 (-.f32 x #s(literal 1 binary32)))
(log1p.f32 (+.f32 x #s(literal -4 binary32)))
(exp.f32 (log.f32 (log.f32 x)))
(log.f32 x)
(exp.f32 (*.f32 (log.f32 (log.f32 x)) #s(literal 1 binary32)))
(log.f32 x)

eval30.0ms (0.8%)

Memory: 19.8MiB live, 58.1MiB allocated
Compiler: Compiled 3 650 to 901 computations (75.3% saved)

prune60.0ms (1.5%)

Memory

-26.7MiB live, 138.8MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	306	6	312

Accuracy

100.0%

Counts

312 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.9%	(/.f32 (log.f32 x) (log.f32 x))
✓	97.3%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	45.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.8%	(log.f32 (+.f32 x x))
✓	98.8%	(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
▶	44.9%	(log.f32 x)

Compiler

Compiled 41 to 28 computations (31.7% saved)

simplify6.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(log.f32 x)
✓	cost-diff	6464	(/.f32 (log.f32 x) (log.f32 x))
	cost-diff	0	(log.f32 x)

Rules

3×	`1-exp`
2×	`*-inverses`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	9	25
2	14	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f32 x)
x
(/.f32 (log.f32 x) (log.f32 x))
(log.f32 x)
x

Outputs
(log.f32 x)
x
(/.f32 (log.f32 x) (log.f32 x))
#s(literal 1 binary32)
(log.f32 x)
x

localize18.0ms (0.5%)

Memory

0.1MiB live, 38.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 (log.f32 x) (log.f32 x))
	accuracy	100.0%	(log.f32 x)
	accuracy	100.0%	(log.f32 x)

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 3.0ms (54.6% of total)

ival-div: 2.0ms (36.4% of total)

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

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

series0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f32 (log.f32 x) (log.f32 x))>

Outputs
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (log x) (log x))
0.0ms	x	@	inf	(/ (log x) (log x))
0.0ms	x	@	-inf	(/ (log x) (log x))

rewrite142.0ms (3.6%)

Memory

-14.3MiB live, 24.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 089×	`log1p-expm1-u`
450×	`associate-r`
350×	`associate-l`
326×	`expm1-log1p-u`
292×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	1
1	74	1
2	547	1
3	5942	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 (log.f32 x) (log.f32 x))

Outputs
#s(literal 1 binary32)

simplify6.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13
1	8	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)

eval7.0ms (0.2%)

Memory: -23.0MiB live, 16.0MiB allocated
Compiler: Compiled 581 to 108 computations (81.4% saved)

prune11.0ms (0.3%)

Memory

35.7MiB live, 35.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	75	7	82

Accuracy

100.0%

Counts

82 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.9%	(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
✓	97.3%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	45.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.8%	(log.f32 (+.f32 x x))
✓	98.8%	(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
✓	44.9%	(log.f32 x)
▶	20.9%	#s(literal 1 binary32)

Compiler

Compiled 45 to 33 computations (26.7% saved)

simplify109.0ms (2.8%)

Memory

-32.5MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
	cost-diff	-64	(log.f32 x)
✓	cost-diff	0	(-.f32 x #s(literal 1 binary32))
✓	cost-diff	64	(log1p.f32 (-.f32 x #s(literal 1 binary32)))
✓	cost-diff	6528	(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))

Rules

6 800×	`associate-+r-`
3 198×	`sub-neg`
1 372×	`+-commutative`
428×	`associate-+l-`
236×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	21	45
2	26	45
3	35	33
4	37	33
5	78	33
6	183	33
7	427	33
8	807	33
9	953	33
10	1008	33
11	1008	33
12	2123	33
13	2575	33
14	2759	33
15	2759	33
16	2759	33
17	7170	33
18	7451	33
19	7451	33

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
(log1p.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(log.f32 x)

Outputs
#s(literal 1 binary32)
(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
#s(literal 1 binary32)
(log1p.f32 (-.f32 x #s(literal 1 binary32)))
(log1p.f32 (+.f32 x #s(literal -1 binary32)))
(log.f32 (+.f32 x #s(literal 0 binary32)))
(log.f32 x)
(-.f32 x #s(literal 1 binary32))
(+.f32 x #s(literal -1 binary32))
x
#s(literal 1 binary32)
(log.f32 x)
(log1p.f32 (+.f32 x #s(literal -1 binary32)))
(log.f32 (+.f32 x #s(literal 0 binary32)))

localize22.0ms (0.6%)

Memory

25.8MiB live, 25.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
✓	accuracy	100.0%	(-.f32 x #s(literal 1 binary32))
	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log1p.f32 (-.f32 x #s(literal 1 binary32)))

Samples

14.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-log1p: 3.0ms (32.8% of total)

ival-div: 2.0ms (21.9% of total)

ival-log: 2.0ms (21.9% of total)

ival-sub: 1.0ms (10.9% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series59.0ms (1.5%)

Memory

-19.6MiB live, 18.2MiB allocated

Counts

3 → 33

Calls

Call 1

Inputs
#<alt (/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))>
#<alt (log1p.f32 (-.f32 x #s(literal 1 binary32)))>
#<alt (-.f32 x #s(literal 1 binary32))>

Outputs
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt #s(literal 1 binary32)>
#<alt (log.f32 x)>
#<alt (log.f32 x)>
#<alt (log.f32 x)>
#<alt (log.f32 x)>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))>
#<alt #s(literal -1 binary32)>
#<alt x>
#<alt (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt x>
#<alt (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))>

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	x	@	-inf	(/ (log (+ 1 (- x 1))) (log x))
0.0ms	x	@	-inf	(- x 1)
0.0ms	x	@	inf	(- x 1)
0.0ms	x	@	-inf	(log (+ 1 (- x 1)))
0.0ms	x	@	0	(- x 1)

rewrite75.0ms (1.9%)

Memory

12.0MiB live, 50.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

858×	`unpow-prod-down`
455×	`log1p-expm1-u`
455×	`expm1-log1p-u`
444×	`log-prod`
407×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	125	39
2	1678	19

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
(log1p.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))

Outputs
#s(literal 1 binary32)
(+.f32 (log.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 x))
(+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cbrt.f32 x))) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (cbrt.f32 x)) (*.f32 #s(literal 2 binary32) (log.f32 (cbrt.f32 x))))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(-.f32 (log1p.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))
(-.f32 (+.f32 #s(literal 1 binary32) (log.f32 x)) #s(literal 1 binary32))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (log.f32 x))
(*.f32 (log.f32 x) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)))
(*.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))
(*.f32 #s(literal 3 binary32) (log.f32 (cbrt.f32 x)))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 x)))
(*.f32 #s(literal 1/3 binary32) (log.f32 (pow.f32 x #s(literal 3 binary32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 x))) #s(literal 2 binary32)) #s(literal 3 binary32)) (cbrt.f32 (log.f32 x)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 x))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 x))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (pow.f32 (.f32 (log.f32 x) (cbrt.f32 (log.f32 x))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (pow.f32 (pow.f32 (log.f32 x) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(pow.f32 (log.f32 x) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 x)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (log.f32 x)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 x))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (log.f32 x))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 x)))) (sqrt.f32 (log.f32 (log.f32 x))))
(sqrt.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)))
(log.f32 x)
(cbrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 x)))
(exp.f32 (log.f32 (log.f32 x)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 x))) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (log.f32 x))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 x))) #s(literal 2 binary32)))
(+.f32 x #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 x #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) x)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))))
(*.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))
(*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))
(*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32)) #s(literal 3 binary32)) (cbrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (pow.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))
(pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (+.f32 x #s(literal -1 binary32))))
(pow.f32 (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32))))) (sqrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(sqrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))
(cbrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 x))
(log1p.f32 (expm1.f32 (+.f32 x #s(literal -1 binary32))))
(exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(fma.f32 x #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) x #s(literal -1 binary32))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (cbrt.f32 x) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal -1 binary32))

simplify76.0ms (1.9%)

Memory

-20.7MiB live, 58.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 858×	`fmm-def`
1 030×	`times-frac`
792×	`fma-define`
680×	`distribute-lft-in`
650×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2591
1	419	2485
2	1134	1912
3	4678	1864

Stop Event

1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
(log.f32 x)
(log.f32 x)
(log.f32 x)
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(literal -1 binary32)
x
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
x
(.f32 #s(literal -1 binary32) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
(.f32 #s(literal -1 binary32) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
(.f32 #s(literal -1 binary32) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(literal 1 binary32)
(+.f32 (log.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 x))
(+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cbrt.f32 x))) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (cbrt.f32 x)) (*.f32 #s(literal 2 binary32) (log.f32 (cbrt.f32 x))))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(-.f32 (log1p.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32))) (log.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))
(-.f32 (+.f32 #s(literal 1 binary32) (log.f32 x)) #s(literal 1 binary32))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (log.f32 x))
(*.f32 (log.f32 x) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (log.f32 x)))
(*.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))
(*.f32 #s(literal 3 binary32) (log.f32 (cbrt.f32 x)))
(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 x)))
(*.f32 #s(literal 1/3 binary32) (log.f32 (pow.f32 x #s(literal 3 binary32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 x))) #s(literal 2 binary32)) #s(literal 3 binary32)) (cbrt.f32 (log.f32 x)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 x))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 x))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (pow.f32 (.f32 (log.f32 x) (cbrt.f32 (log.f32 x))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (pow.f32 (pow.f32 (log.f32 x) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(pow.f32 (log.f32 x) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 x)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (log.f32 x)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 x))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (log.f32 x))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 x)))) (sqrt.f32 (log.f32 (log.f32 x))))
(sqrt.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)))
(log.f32 x)
(cbrt.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 x)))
(exp.f32 (log.f32 (log.f32 x)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 x))) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (log.f32 x))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 x))) #s(literal 2 binary32)))
(+.f32 x #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 x #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) x)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))))
(*.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))
(*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))
(*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32)) #s(literal 3 binary32)) (cbrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (pow.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))
(pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (+.f32 x #s(literal -1 binary32))))
(pow.f32 (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32))))) (sqrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(sqrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))
(cbrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 x))
(log1p.f32 (expm1.f32 (+.f32 x #s(literal -1 binary32))))
(exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(fma.f32 x #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) x #s(literal -1 binary32))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (cbrt.f32 x) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal -1 binary32))

Outputs
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
#s(literal 1 binary32)
(log.f32 x)
(log.f32 x)
(log.f32 x)
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(log.f32 x)
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x))))
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(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32))))) (sqrt.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(sqrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 2 binary32)))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(log.f32 (exp.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(cbrt.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3 binary32)))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(expm1.f32 (log.f32 x))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 1/3 binary32)))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(fma.f32 x #s(literal 1 binary32) #s(literal -1 binary32))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) x #s(literal -1 binary32))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (cbrt.f32 x) #s(literal -1 binary32))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal -1 binary32))
(*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal -1 binary32))

eval29.0ms (0.7%)

Memory: 13.1MiB live, 50.8MiB allocated
Compiler: Compiled 1 772 to 510 computations (71.2% saved)

prune23.0ms (0.6%)

Memory

18.7MiB live, 56.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	145	7	152

Accuracy

100.0%

Counts

152 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.9%	(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
✓	97.3%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	45.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.8%	(log.f32 (+.f32 x x))
✓	98.8%	(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))
✓	44.9%	(log.f32 x)
✓	20.9%	#s(literal 1 binary32)

Compiler

Compiled 89 to 56 computations (37.1% saved)

regimes12.0ms (0.3%)

Memory

-18.6MiB live, 18.7MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(log.f32 x)
(log.f32 (+.f32 x x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(/.f32 (log.f32 x) (log.f32 x))
(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 2 binary32))))))

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

Calls

3 calls:

6.0ms	x
3.0ms	(+.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)))))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.8%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes8.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(log.f32 x)
(log.f32 (+.f32 x x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(/.f32 (log.f32 x) (log.f32 x))
(/.f32 (log1p.f32 (-.f32 x #s(literal 1 binary32))) (log.f32 x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
(log.f32 (+.f32 x x))

Calls

3 calls:

3.0ms	x
3.0ms	(+.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)))))

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.8%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(log.f32 x)

Outputs
(log.f32 x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
44.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
20.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg`
8×	`*-commutative`
8×	`+-commutative`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	25	61
2	33	61
3	39	61
4	44	61
5	46	61

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness519.0ms (13.2%)

Memory

-6.9MiB live, 328.1MiB allocated

Rules

1 744×	`prod-diff`
1 172×	`times-frac`
1 136×	`log1p-expm1-u`
776×	`fmm-def`
682×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	835	8589949875
1	1682	8589949487
2	4979	8589948590
0	18	155
1	259	146
2	3438	146
0	524	3708
1	1573	3708

Stop Event

1×	done
1×	unsound
1×	node limit
1×	node limit

Compiler

Compiled 285 to 81 computations (71.6% saved)

preprocess40.0ms (1%)

Memory: -26.9MiB live, 91.0MiB allocated
Compiler: Compiled 82 to 56 computations (31.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample572.0ms (14.5%)

preprocess396.0ms (10.1%)

explain120.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify220.0ms (5.6%)

localize49.0ms (1.3%)

series9.0ms (0.2%)

rewrite250.0ms (6.4%)

simplify194.0ms (4.9%)

eval99.0ms (2.5%)

prune70.0ms (1.8%)

simplify144.0ms (3.6%)

localize146.0ms (3.7%)

series196.0ms (5%)

rewrite150.0ms (3.8%)

simplify58.0ms (1.5%)

eval30.0ms (0.8%)

prune60.0ms (1.5%)

simplify6.0ms (0.2%)

localize18.0ms (0.5%)

series0.0ms (0%)

rewrite142.0ms (3.6%)

simplify6.0ms (0.2%)

eval7.0ms (0.2%)

prune11.0ms (0.3%)

simplify109.0ms (2.8%)

localize22.0ms (0.6%)

series59.0ms (1.5%)

rewrite75.0ms (1.9%)

simplify76.0ms (1.9%)

eval29.0ms (0.7%)

prune23.0ms (0.6%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify3.0ms (0.1%)

soundness519.0ms (13.2%)

preprocess40.0ms (1%)

end0.0ms (0%)

Profiling