Metrics for Hyperbolic sine

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.4s (59.1%)

Results

607.0ms	2016×	body	1024	valid
377.0ms	4082×	body	256	infinite
249.0ms	1019×	body	512	valid
92.0ms	927×	body	256	valid
67.0ms	212×	body	2048	valid

Bogosity

preprocess146.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-r`
584×	`associate-/r*`
423×	`distribute-lft-in`
360×	`associate-/l*`
352×	`distribute-rgt-in`

Problems

132×	No Errors
124×	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	37	93
2	73	93
3	138	93
4	329	87
5	1246	87
6	6076	87

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(fma.f64 -1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(fma.f64 (exp.f64 x) -1/2 (/.f64 1/2 (exp.f64 x)))

Compiler

Compiled 34 to 16 computations (52.9% saved)

eval1.0ms (0%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	55.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize50.0ms (2.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	55.1%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 25 to 9 computations (64% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite162.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

48×	`*-un-lft-identity`
46×	`add-cbrt-cube`
43×	`associate-r`
42×	`add-cube-cbrt`
41×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	118	14
2	1711	14

Stop Event

1×

unsound

Counts

1 → 8

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
-2
0
1/2
3/2
2
4
6
8

simplify91.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

770×	`distribute-rgt-in`
751×	`distribute-lft-in`
645×	`fma-def`
455×	`associate-*r/`
384×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	250
1	70	250
2	144	250
3	319	250
4	635	250
5	1326	250
6	2042	250
7	3176	250
8	6214	250

Stop Event

1×	node limit

Counts

16 → 25

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
-2
0
1/2
3/2
2
4
6
8

Outputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
-2
0
1/2
3/2
2
4
6
8

eval7.0ms (0.3%)

Compiler: Compiled 278 to 227 computations (18.3% saved)

prune13.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Accuracy

100.0%

Counts

26 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	84.5%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
	51.2%	(/.f64 (*.f64 2 x) 2)
▶	2.9%	(/.f64 8 2)
▶	3.0%	(/.f64 1/2 2)
▶	3.3%	(/.f64 0 2)
▶	2.7%	(/.f64 -2 2)
✓	55.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	84.5%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
	51.2%	(/.f64 (*.f64 2 x) 2)
▶	2.9%	(/.f64 8 2)
▶	3.0%	(/.f64 1/2 2)
▶	3.3%	(/.f64 0 2)
▶	2.7%	(/.f64 -2 2)

Compiler

Compiled 154 to 138 computations (10.4% saved)

localize157.0ms (6.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 57 to 49 computations (14% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 1/3 (pow.f64 x 3))

rewrite59.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`associate-r`
500×	`associate-l`
218×	`pow1`
206×	`add-exp-log`
200×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	75	16
2	740	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))

Outputs
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1) -1)
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1) 1)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) (+.f64 (.f64 1/3 (pow.f64 x 3)) 1)) 1) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) (+.f64 (.f64 1/3 (pow.f64 x 3)) 1)) (+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1))))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 1/27) 1/3)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(fabs.f64 (*.f64 1/3 (pow.f64 x 3)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2)) 2))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 1/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) 1/27)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))

simplify50.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

673×	`distribute-lft-out`
504×	`distribute-rgt-out`
477×	`associate-/r*`
330×	`associate--l+`
271×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	669
1	212	626
2	598	613
3	2963	611

Stop Event

1×	node limit

Counts

25 → 35

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1) -1)
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1) 1)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) (+.f64 (.f64 1/3 (pow.f64 x 3)) 1)) 1) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) (+.f64 (.f64 1/3 (pow.f64 x 3)) 1)) (+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1))))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 1/27) 1/3)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(fabs.f64 (*.f64 1/3 (pow.f64 x 3)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2)) 2))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 1/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) 1/27)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))

Outputs
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1) -1)
(*.f64 1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1) 1)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) (+.f64 (.f64 1/3 (pow.f64 x 3)) 1)) 1) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) 1))
(/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 2) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/3 (pow.f64 x 3)) 2))
(/.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) 2)) (fma.f64 1/3 (pow.f64 x 3) 2))
(.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) 2) (fma.f64 1/3 (pow.f64 x 3) 2)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) 2/3)) (fma.f64 1/3 (pow.f64 x 3) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) 1) (+.f64 (.f64 1/3 (pow.f64 x 3)) 1)) (+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) 1) 3) -1) (fma.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 1/3 (pow.f64 x 3) 1) (+.f64 (*.f64 1/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) 1) 3)) (fma.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 1/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 1/3 (pow.f64 x 3) 2))))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) 2)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(pow.f64 (*.f64 (pow.f64 x 9) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3))))
(*.f64 1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(fabs.f64 (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2)) 2))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 1/3))) 3))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) 1/27)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 9) 1/27))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))

eval21.0ms (0.9%)

Compiler: Compiled 676 to 575 computations (14.9% saved)

prune9.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	35	7	42

Accuracy

100.0%

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓	84.5%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
▶	51.2%	(/.f64 (*.f64 2 x) 2)
✓	2.9%	(/.f64 8 2)
✓	3.0%	(/.f64 1/2 2)
✓	3.3%	(/.f64 0 2)
✓	2.7%	(/.f64 -2 2)
✓	55.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓	84.5%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
▶	51.2%	(/.f64 (*.f64 2 x) 2)
✓	2.9%	(/.f64 8 2)
✓	3.0%	(/.f64 1/2 2)
✓	3.3%	(/.f64 0 2)
✓	2.7%	(/.f64 -2 2)

Compiler

Compiled 86 to 76 computations (11.6% saved)

localize21.0ms (0.9%)

Compiler: Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓	84.5%	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
✓	51.2%	(/.f64 (*.f64 2 x) 2)
✓	2.9%	(/.f64 8 2)
✓	3.0%	(/.f64 1/2 2)
✓	3.3%	(/.f64 0 2)
✓	2.7%	(/.f64 -2 2)

Compiler

Compiled 80 to 70 computations (12.5% saved)

regimes28.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 -2 2)
(/.f64 0 2)
(/.f64 1/2 2)
(/.f64 8 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Calls

3 calls:

16.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
100.0%	3	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 55 to 45 computations (18.2% saved)

regimes7.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 -2 2)
(/.f64 0 2)
(/.f64 1/2 2)
(/.f64 8 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)

Outputs
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.5%	1	`x`

Compiler

Compiled 31 to 27 computations (12.9% saved)

regimes6.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 -2 2)
(/.f64 0 2)
(/.f64 1/2 2)
(/.f64 8 2)
(/.f64 (*.f64 2 x) 2)

Outputs
(/.f64 (*.f64 2 x) 2)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
51.2%	1	`x`

Compiler

Compiled 20 to 18 computations (10% saved)

regimes8.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 -2 2)
(/.f64 0 2)
(/.f64 1/2 2)
(/.f64 8 2)

Outputs
(/.f64 0 2)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
3.3%	1	`x`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 -2 2)

Outputs
(/.f64 -2 2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
2.7%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.412848325114794e-8	+inf
0.0ms	-5.375973569521501e+109	-1.0631163727126136e-9

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
4×	`*-commutative`
3×	`sub-neg`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	196
1	46	196
2	51	196
3	54	196
4	55	196

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 944473296573929/9444732965739290427392) (/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)))
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 0 2)
(/.f64 -2 2)

Outputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 944473296573929/9444732965739290427392) (/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)))
(if (or (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344) (not (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 944473296573929/9444732965739290427392))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2)) 2))
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x)) 2)
(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2)) 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (*.f64 x 2) 2)
(/.f64 0 2)
0
(/.f64 -2 2)
-1

Compiler

Compiled 61 to 42 computations (31.1% saved)

soundness63.0ms (2.7%)

Rules

48×	`*-un-lft-identity`
48×	`*-un-lft-identity`
46×	`add-cbrt-cube`
46×	`add-cbrt-cube`
43×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	118	14
2	1711	14
0	10	14
1	118	14
2	1711	14

Stop Event

1×	unsound
1×	unsound

end0.0ms (0%)

preprocess58.0ms (2.5%)

Compiler: Compiled 132 to 90 computations (31.8% saved)

analyze0.0ms (0%)

sample1.4s (59.1%)

preprocess146.0ms (6.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize50.0ms (2.1%)

series1.0ms (0%)

rewrite162.0ms (6.8%)

simplify91.0ms (3.8%)

eval7.0ms (0.3%)

prune13.0ms (0.5%)

localize157.0ms (6.6%)

series1.0ms (0.1%)

rewrite59.0ms (2.5%)

simplify50.0ms (2.1%)

eval21.0ms (0.9%)

prune9.0ms (0.4%)

localize21.0ms (0.9%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes28.0ms (1.2%)

regimes7.0ms (0.3%)

regimes6.0ms (0.2%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

soundness63.0ms (2.7%)

end0.0ms (0%)

preprocess58.0ms (2.5%)

Profiling