Metrics for Rust f32::atanh

analyze6.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-atanh, time spent: 1.0ms, 140.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.2s (29.4%)

Results

736.0ms

8256×

256

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

Operation ival-atanh, time spent: 177.0ms, 96.0% of total-time

Operation const, time spent: 8.0ms, 4.0% of total-time

Bogosity

preprocess380.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

252×	`fma-define`
48×	`sub-neg`
44×	`fma-neg`
26×	`*-commutative`
24×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
-	-	`(*.f32 #s(literal 2 binary32) x)`
-	-	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
-	-	`(-.f32 #s(literal 1 binary32) x)`
-	-	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
-	-	`#s(literal 1/2 binary32)`
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 2 binary32)`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(atanh.f32 x)
(atanh.f32 (neg.f32 x))
(neg.f32 (atanh.f32 (neg.f32 x)))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(atanh.f32 x)
(atanh.f32 (neg.f32 x))
(neg.f32 (atanh.f32 (neg.f32 x)))

Results

210.0ms

512×

256

valid

Compiler

Compiled 85 to 65 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

Operation composed, time spent: 43.0ms, 30.0% of total-time

Operation ival-log, time spent: 33.0ms, 23.0% of total-time

Operation ival-mult, time spent: 30.0ms, 21.0% of total-time

Operation ival-div, time spent: 16.0ms, 11.0% of total-time

Operation ival-sub, time spent: 13.0ms, 9.0% of total-time

Operation ival-add, time spent: 6.0ms, 4.0% of total-time

Operation const, time spent: 5.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))

Status

Accuracy

Program

▶

99.8%

(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

▶

99.7%

(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize410.0ms (9.8%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	99.8%	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
✓	99.9%	(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
✓	99.8%	(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
✓	99.8%	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))

Results

292.0ms

256×

256

valid

Compiler

Compiled 74 to 56 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

Operation composed, time spent: 52.0ms, 34.0% of total-time

Operation ival-log, time spent: 36.0ms, 24.0% of total-time

Operation ival-mult, time spent: 22.0ms, 14.0% of total-time

Operation ival-div, time spent: 14.0ms, 9.0% of total-time

Operation ival-sub, time spent: 12.0ms, 8.0% of total-time

Operation ival-add, time spent: 12.0ms, 8.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

series8.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))>
#<alt (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))>
#<alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))>
#<alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))>
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))>

Outputs
#<alt #s(literal 2 binary32)>
#<alt (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))>
#<alt (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))))>
#<alt (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))))>
#<alt (/.f32 #s(literal -2 binary32) x)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))>
#<alt (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x)>
#<alt (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))) x)>
#<alt (/.f32 #s(literal -2 binary32) x)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))) x))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ 1 (* x (/ 2 (- 1 x)))))
1.0ms	x	@	inf	(log (+ 1 (* x (/ 2 (- 1 x)))))
1.0ms	x	@	-inf	(log (+ 1 (* x (/ 2 (- 1 x)))))
0.0ms	x	@	-inf	(/ 2 (- 1 x))
0.0ms	x	@	inf	(/ 2 (- 1 x))

rewrite241.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`prod-diff`
894×	`log-prod`
793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
256×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	200	124
2	2168	124

Stop Event

1×	node limit

Counts

5 → 165

Calls

Call 1

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

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

eval112.0ms (2.7%)

Compiler: Compiled 3404 to 2837 computations (16.7% saved)

prune46.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	219	6	225
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	219	8	227

Accuracy

100.0%

Counts

227 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
▶	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
▶	96.9%	(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) x))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.2%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))))
	97.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (pow.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
▶	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x)))))

Compiler

Compiled 182 to 152 computations (16.5% saved)

localize874.0ms (20.9%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))
✓	99.9%	(+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))
✓	99.3%	(*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))
✓	99.3%	(.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))
✓	99.9%	(log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))
✓	99.9%	(/.f32 (-.f32 #s(literal 1 binary32) x) x)
✓	99.4%	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))
✓	100.0%	(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32))))
✓	99.9%	(.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))
✓	99.3%	(*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))
✓	99.9%	(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))
✓	99.9%	(log1p.f32 (.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))))
✓	99.8%	(.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x)))
✓	99.8%	(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))

Results

620.0ms

256×

256

valid

Compiler

Compiled 253 to 200 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

Operation ival-pow, time spent: 136.0ms, 31.0% of total-time

Operation ival-add, time spent: 87.0ms, 20.0% of total-time

Operation ival-mult, time spent: 82.0ms, 19.0% of total-time

Operation composed, time spent: 41.0ms, 9.0% of total-time

Operation ival-log, time spent: 31.0ms, 7.0% of total-time

Operation ival-div, time spent: 26.0ms, 6.0% of total-time

Operation ival-sub, time spent: 20.0ms, 5.0% of total-time

Operation const, time spent: 13.0ms, 3.0% of total-time

series24.0ms (0.6%)

Counts

14 → 130

Calls

Call 1

Inputs
#<alt (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))>
#<alt (.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x)))>
#<alt (log1p.f32 (.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) x) x)>
#<alt (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))>

Outputs
#<alt #s(literal 2 binary32)>
#<alt (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))>
#<alt (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))))>
#<alt (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))))>
#<alt (/.f32 #s(literal -2 binary32) x)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))>
#<alt (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x)>
#<alt (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))) x)>
#<alt (/.f32 #s(literal -2 binary32) x)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))) x))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt #s(literal 2 binary32)>
#<alt (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 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 2/3 binary32) (.f32 #s(literal 2 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 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 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 2/3 binary32) (.f32 #s(literal 2 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 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt #s(literal -2 binary32)>
#<alt (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))>
#<alt (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)) x)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)) x)>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32)))))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)) (.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))))))>
#<alt (log.f32 #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))))>
#<alt (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32)) x)))>
#<alt (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 4 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 4 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt #s(literal 2/3 binary32)>
#<alt (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 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 2/5 binary32) (.f32 #s(literal 2/3 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 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 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 2/5 binary32) (.f32 #s(literal 2/3 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 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal 2 binary32) x)>
#<alt (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 2/5 binary32) (+.f32 (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))))))>
#<alt (.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 2/5 binary32) (+.f32 (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))))))>
#<alt (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32)))>
#<alt (.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (pow.f32 x #s(literal 5 binary32)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2/5 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 (pow.f32 x #s(literal 5 binary32)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2/5 binary32))))>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log (+ 1 (* x (* (/ 2 (- 1 (pow x 2))) (+ 1 x)))))
2.0ms	x	@	-inf	(/ (- 1 x) x)
0.0ms	x	@	inf	(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
0.0ms	x	@	inf	(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
0.0ms	x	@	inf	(* x (+ 2 (* 2/3 (pow x 2))))

rewrite168.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`associate-r`
316×	`associate-l`
247×	`log1p-expm1-u`
247×	`expm1-log1p-u`
241×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	418
1	543	383

Stop Event

1×	node limit

Counts

14 → 377

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))
(.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x)))
(log1p.f32 (.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x))))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))
(/.f32 (-.f32 #s(literal 1 binary32) x) x)
(log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))
(.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))
(*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))
(+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32)))))))

Outputs
(+.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x))))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x))))
(/.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal -2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
(/.f32 (-.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) #s(literal 2 binary32))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) (-.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
(/.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 2 binary32)) x)))
(/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))
(/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) (pow.f32 (cbrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))
(pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 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 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) #s(literal 2 binary32))
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(/.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) x) (.f32 #s(literal 2 binary32) x)) (.f32 (.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32))) (.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (-.f32 (.f32 #s(literal 2 binary32) x) (.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (.f32 x (+.f32 (.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))))
(/.f32 (.f32 x (-.f32 #s(literal 4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))))
(/.f32 (.f32 (+.f32 (.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 8 binary32)) x) (+.f32 #s(literal 4 binary32) (.f32 (.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) x) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))))
(pow.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 x) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(exp.f32 (log.f32 (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) x (*.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(fma.f32 x #s(literal 2 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32))))

eval249.0ms (5.9%)

Compiler: Compiled 9271 to 7772 computations (16.2% saved)

prune85.0ms (2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	506	1	507
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	510	5	515

Accuracy

100.0%

Counts

515 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
✓	99.2%	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
✓	96.9%	(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) x))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))

Compiler

Compiled 58 to 48 computations (17.2% saved)

localize139.0ms (3.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f32 x #s(literal 3 binary32))
✓	99.5%	(*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))

Results

104.0ms

256×

256

valid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

Operation ival-pow, time spent: 22.0ms, 46.0% of total-time

Operation ival-mult, time spent: 20.0ms, 42.0% of total-time

Operation ival-add, time spent: 3.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 6.0% of total-time

series5.0ms (0.1%)

Counts

2 → 0

Calls

Call 1

Inputs
#<alt (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))>
#<alt (pow.f32 x #s(literal 3 binary32))>

Outputs

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow x 3)
0.0ms	x	@	0	(* 2/3 (pow x 3))
0.0ms	x	@	-inf	(* 2/3 (pow x 3))
0.0ms	x	@	-inf	(pow x 3)
0.0ms	x	@	inf	(* 2/3 (pow x 3))

rewrite68.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`associate-r`
864×	`associate-l`
564×	`unpow-prod-down`
306×	`log-prod`
284×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	74	26
2	738	26

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))

Outputs
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(+.f32 (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 3 binary32))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 3 binary32))))))
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))
(pow.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 x (cbrt.f32 #s(literal 2/3 binary32))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 4/9 binary32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 8/27 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 #s(literal 2/3 binary32))) #s(literal 2 binary32))
(pow.f32 (E.f32) (fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2/3 binary32))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2/3 binary32))) #s(literal 2 binary32)))) (cbrt.f32 (fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2/3 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2/3 binary32)))))
(sqrt.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 4/9 binary32)))
(fabs.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))))
(log.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 8/27 binary32)))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(exp.f32 (fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2/3 binary32))))
(exp.f32 (.f32 (log.f32 (.f32 x (cbrt.f32 #s(literal 2/3 binary32)))) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 8/27 binary32))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 x #s(literal 3/2 binary32)) (sqrt.f32 #s(literal 2/3 binary32)))) #s(literal 2 binary32)))
(+.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x #s(literal 3 binary32))))))
(+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32)))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 3 binary32))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x #s(literal 3 binary32))))))
(-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32))
(*.f32 x (pow.f32 x #s(literal 2 binary32)))
(*.f32 x (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 x #s(literal 2 binary32)) x)
(*.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(*.f32 (cbrt.f32 x) (cbrt.f32 (pow.f32 x #s(literal 8 binary32))))
(.f32 (cbrt.f32 x) (.f32 (cbrt.f32 x) (cbrt.f32 (pow.f32 x #s(literal 7 binary32)))))
(.f32 (cbrt.f32 x) (.f32 (pow.f32 x #s(literal 1/6 binary32)) (pow.f32 x #s(literal 5/2 binary32))))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 x #s(literal 7 binary32))))
(.f32 (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)) (.f32 (cbrt.f32 (pow.f32 x #s(literal 7 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 x #s(literal 5/2 binary32)))
(*.f32 (sqrt.f32 x) (sqrt.f32 (pow.f32 x #s(literal 5 binary32))))
(.f32 (sqrt.f32 x) (.f32 (pow.f32 x #s(literal 5/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 x)) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 x #s(literal 7 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 5 binary32)))
(.f32 (pow.f32 x #s(literal 1/4 binary32)) (.f32 (pow.f32 x #s(literal 1/4 binary32)) (pow.f32 x #s(literal 5/2 binary32))))
(*.f32 (pow.f32 x #s(literal 3/4 binary32)) (pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 x #s(literal 3/4 binary32)) (sqrt.f32 (pow.f32 x #s(literal 9/2 binary32))))
(.f32 (pow.f32 x #s(literal 3/4 binary32)) (.f32 (pow.f32 x #s(literal 3/4 binary32)) (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 x #s(literal 8 binary32))) (cbrt.f32 x))
(*.f32 (pow.f32 (cbrt.f32 x) #s(literal 5 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)))
(*.f32 (cbrt.f32 (pow.f32 x #s(literal 7 binary32))) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)))
(*.f32 (pow.f32 x #s(literal 5/2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 4 binary32)) #s(literal 3/2 binary32)) x)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) #s(literal 5 binary32)) #s(literal 3/2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/3 binary32)) (pow.f32 (cbrt.f32 x) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 x))
(*.f32 (pow.f32 (pow.f32 x #s(literal 15/2 binary32)) #s(literal 1/3 binary32)) (sqrt.f32 x))
(.f32 (.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/4 binary32))) (pow.f32 x #s(literal 3/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 x #s(literal 9/2 binary32))) (pow.f32 x #s(literal 3/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 x #s(literal 5 binary32))) (sqrt.f32 x))
(.f32 (.f32 (cbrt.f32 (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (cbrt.f32 x))
(.f32 (.f32 (cbrt.f32 (pow.f32 x #s(literal 8 binary32))) (pow.f32 (cbrt.f32 (cbrt.f32 x)) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 x)))
(.f32 (.f32 (cbrt.f32 (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 1/6 binary32))) (pow.f32 x #s(literal 1/6 binary32)))
(.f32 (.f32 (pow.f32 x #s(literal 5/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 x))
(.f32 (.f32 (pow.f32 x #s(literal 5/2 binary32)) (cbrt.f32 x)) (pow.f32 x #s(literal 1/6 binary32)))
(.f32 (.f32 (pow.f32 x #s(literal 5/2 binary32)) (pow.f32 x #s(literal 1/4 binary32))) (pow.f32 x #s(literal 1/4 binary32)))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (pow.f32 x #s(literal 6 binary32)))
(fabs.f32 (pow.f32 x #s(literal 3 binary32)))
(log.f32 (exp.f32 (pow.f32 x #s(literal 3 binary32))))
(cbrt.f32 (pow.f32 x #s(literal 9 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 x #s(literal 3 binary32))))
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 x)))
(exp.f32 (.f32 (.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 x #s(literal 9 binary32))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 x) #s(literal 3/2 binary32)) #s(literal 2 binary32)))

eval36.0ms (0.9%)

Compiler: Compiled 1376 to 1110 computations (19.3% saved)

prune20.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	82	5	87

Accuracy

100.0%

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
✓	99.2%	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
✓	96.9%	(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) x))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))

Compiler

Compiled 164 to 135 computations (17.7% saved)

regimes14.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) x))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) x)))))
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (pow.f32 (sqrt.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Calls

4 calls:

4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	x
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) x))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Stop Event

1×

done

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) x))

Outputs
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) x))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`x`

Compiler

Compiled 30 to 24 computations (20% saved)

soundness28.0ms (0.7%)

Rules

252×	`fma-define`
48×	`sub-neg`
44×	`fma-neg`
26×	`*-commutative`
24×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Stop Event

1×

saturated

Compiler

Compiled 31 to 25 computations (19.4% saved)

end0.0ms (0%)

preprocess35.0ms (0.8%)

Compiler: Compiled 74 to 60 computations (18.9% saved)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

analyze6.0ms (0.2%)

sample1.2s (29.4%)

preprocess380.0ms (9.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize410.0ms (9.8%)

series8.0ms (0.2%)

rewrite241.0ms (5.8%)

eval112.0ms (2.7%)

prune46.0ms (1.1%)

localize874.0ms (20.9%)

series24.0ms (0.6%)

rewrite168.0ms (4%)

eval249.0ms (5.9%)

prune85.0ms (2%)

localize139.0ms (3.3%)

series5.0ms (0.1%)

rewrite68.0ms (1.6%)

eval36.0ms (0.9%)

prune20.0ms (0.5%)

regimes14.0ms (0.3%)

regimes2.0ms (0%)

regimes2.0ms (0.1%)

soundness28.0ms (0.7%)

end0.0ms (0%)

preprocess35.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71