Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample678.0ms (49.7%)

Results

343.0ms	4133×	body	256	valid
323.0ms	4123×	body	256	infinite

Bogosity

preprocess116.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`fma-def`
716×	`associate-*r/`
694×	`distribute-lft-in`
660×	`associate-/r*`
648×	`fma-neg`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
1	38	89
2	83	89
3	201	89
4	567	89
5	2039	89
6	5719	89

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 (neg.f64 x) (exp.f64 (.f64 y y)))
(*.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))
(*.f64 x (neg.f64 (pow.f64 (exp.f64 y) y)))
(.f64 x (neg.f64 (exp.f64 (.f64 y y))))
(.f64 x (exp.f64 (.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (exp.f64 (.f64 y y)))
(.f64 y (exp.f64 (.f64 x x)))
(*.f64 y (pow.f64 (exp.f64 x) x))

Compiler

Compiled 26 to 11 computations (57.7% saved)

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize73.0ms (5.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (exp.f64 (.f64 y y)))
0.0ms	y	@	inf	(.f64 x (exp.f64 (.f64 y y)))
0.0ms	x	@	inf	(.f64 x (exp.f64 (.f64 y y)))
0.0ms	y	@	0	(.f64 x (exp.f64 (.f64 y y)))
0.0ms	x	@	-inf	(.f64 x (exp.f64 (.f64 y y)))

rewrite54.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`pow1`
1248×	`add-exp-log`
1248×	`log1p-expm1-u`
1248×	`expm1-log1p-u`
1216×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	154	17
2	1783	17

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))

Outputs
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (exp.f64 y) y))) 1)
(pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (exp.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (exp.f64 y) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (exp.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 y) y))))
(exp.f64 (+.f64 (*.f64 y y) (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 y) y))))

simplify76.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1084×	`fma-def`
812×	`fma-neg`
722×	`distribute-lft-out`
678×	`*-commutative`
586×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	645
1	133	641
2	391	629
3	2005	619
4	4797	619
5	7577	619

Stop Event

1×	node limit

Counts

35 → 30

Calls

Call 1

Inputs
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
x
(+.f64 x (*.f64 x (pow.f64 y 2)))
(+.f64 x (+.f64 (.f64 1/2 (.f64 x (pow.f64 y 4))) (*.f64 x (pow.f64 y 2))))
(+.f64 x (+.f64 (.f64 1/6 (.f64 x (pow.f64 y 6))) (+.f64 (.f64 1/2 (.f64 x (pow.f64 y 4))) (*.f64 x (pow.f64 y 2)))))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (exp.f64 y) y))) 1)
(pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (exp.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (exp.f64 y) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (exp.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 y) y))))
(exp.f64 (+.f64 (*.f64 y y) (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 y) y))))

Outputs
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
x
(+.f64 x (*.f64 x (pow.f64 y 2)))
(+.f64 x (.f64 x (.f64 y y)))
(fma.f64 x (*.f64 y y) x)
(*.f64 x (fma.f64 y y 1))
(+.f64 x (+.f64 (.f64 1/2 (.f64 x (pow.f64 y 4))) (*.f64 x (pow.f64 y 2))))
(+.f64 x (fma.f64 1/2 (.f64 x (pow.f64 y 4)) (.f64 x (*.f64 y y))))
(+.f64 (fma.f64 x (.f64 y y) x) (.f64 (pow.f64 y 4) (*.f64 x 1/2)))
(.f64 x (+.f64 (fma.f64 y y 1) (.f64 1/2 (pow.f64 y 4))))
(*.f64 x (fma.f64 1/2 (pow.f64 y 4) (fma.f64 y y 1)))
(+.f64 x (+.f64 (.f64 1/6 (.f64 x (pow.f64 y 6))) (+.f64 (.f64 1/2 (.f64 x (pow.f64 y 4))) (*.f64 x (pow.f64 y 2)))))
(+.f64 x (fma.f64 1/6 (.f64 x (pow.f64 y 6)) (fma.f64 1/2 (.f64 x (pow.f64 y 4)) (.f64 x (.f64 y y)))))
(+.f64 x (fma.f64 1/6 (.f64 x (pow.f64 y 6)) (fma.f64 x (.f64 y y) (.f64 (pow.f64 y 4) (.f64 x 1/2)))))
(fma.f64 x (.f64 1/6 (pow.f64 y 6)) (.f64 x (+.f64 (fma.f64 y y 1) (*.f64 1/2 (pow.f64 y 4)))))
(.f64 x (+.f64 (fma.f64 1/2 (pow.f64 y 4) (fma.f64 y y 1)) (.f64 1/6 (pow.f64 y 6))))
(.f64 x (+.f64 (.f64 1/6 (pow.f64 y 6)) (fma.f64 1/2 (pow.f64 y 4) (fma.f64 y y 1))))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (pow.f64 y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (exp.f64 y) y))) 1)
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 1)
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (exp.f64 y) y))) 3)
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 3) 1/3)
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (exp.f64 y) y))) 2)
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 2))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (exp.f64 y) y)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 y) y)) 3))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 y) y))))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(exp.f64 (+.f64 (*.f64 y y) (log.f64 x)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 y) y))))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))

eval8.0ms (0.6%)

Compiler: Compiled 326 to 167 computations (48.8% saved)

prune5.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Accuracy

100.0%

Counts

31 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(+.f64 x (.f64 x (.f64 y y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
	52.9%	x
▶	86.5%	(+.f64 x (.f64 x (.f64 y y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
	52.9%	x

Compiler

Compiled 40 to 24 computations (40% saved)

localize26.0ms (1.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	88.0%	(.f64 x (.f64 y y))

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 x (.f64 y y))
0.0ms	x	@	-inf	(.f64 x (.f64 y y))
0.0ms	y	@	0	(.f64 x (.f64 y y))
0.0ms	x	@	inf	(.f64 x (.f64 y y))
0.0ms	y	@	inf	(.f64 x (.f64 y y))

rewrite70.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`pow1`
1054×	`add-sqr-sqrt`
1016×	`add-exp-log`
1016×	`log1p-expm1-u`
1016×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1449	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 y y))

Outputs
(-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1)
(pow.f64 (.f64 x (.f64 y y)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 (.f64 x x) (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y y))))
(exp.f64 (log.f64 (.f64 x (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y y))))

simplify59.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

2164×	`log-prod`
1110×	`distribute-rgt-in`
1088×	`distribute-lft-in`
802×	`associate-r`
682×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	455
1	92	455
2	327	455
3	2124	455
4	6994	455

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(*.f64 x (pow.f64 y 2))
(-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1)
(pow.f64 (.f64 x (.f64 y y)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 (.f64 x x) (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y y))))
(exp.f64 (log.f64 (.f64 x (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y y))))

Outputs
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(*.f64 x (pow.f64 y 2))
(.f64 x (.f64 y y))
(-.f64 (+.f64 1 (.f64 x (.f64 y y))) 1)
(.f64 x (.f64 y y))
(pow.f64 (.f64 x (.f64 y y)) 1)
(.f64 x (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(.f64 x (.f64 y y))
(pow.f64 (pow.f64 (.f64 x (.f64 y y)) 3) 1/3)
(.f64 x (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(.f64 x (.f64 y y))
(sqrt.f64 (.f64 (.f64 x x) (pow.f64 y 4)))
(.f64 x (.f64 y y))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(.f64 x (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y y)) 3))
(.f64 x (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y y))))
(.f64 x (.f64 y y))
(exp.f64 (log.f64 (.f64 x (.f64 y y))))
(.f64 x (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y y))))
(.f64 x (.f64 y y))

eval2.0ms (0.2%)

Compiler: Compiled 121 to 54 computations (55.4% saved)

prune4.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	13	3	16

Accuracy

100.0%

Counts

16 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(+.f64 x (.f64 x (.f64 y y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
	52.9%	x
✓	86.5%	(+.f64 x (.f64 x (.f64 y y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
	52.9%	x

Compiler

Compiled 40 to 24 computations (40% saved)

localize0.0ms (0%)

eval1.0ms (0.1%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(+.f64 x (.f64 x (.f64 y y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
	52.9%	x
✓	86.5%	(+.f64 x (.f64 x (.f64 y y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
	52.9%	x

Compiler

Compiled 40 to 24 computations (40% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(+.f64 x (.f64 x (.f64 y y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
	52.9%	x

Compiler

Compiled 36 to 19 computations (47.2% saved)

regimes16.0ms (1.2%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(+.f64 x (.f64 x (.f64 y y)))
(.f64 x (exp.f64 (.f64 y y)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))

Calls

5 calls:

4.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 41 to 23 computations (43.9% saved)

regimes10.0ms (0.7%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 x (.f64 x (.f64 y y)))

Outputs
(+.f64 x (.f64 x (.f64 y y)))

Calls

3 calls:

4.0ms	x
3.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
86.5%	1	`x`
86.5%	1	`y`
86.5%	1	`(*.f64 y y)`

Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes6.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`y`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	13	37

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (.f64 x (.f64 y y)))
x

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (.f64 x (.f64 y y)))
x

Compiler

Compiled 20 to 12 computations (40% saved)

soundness98.0ms (7.2%)

Rules

1084×	`fma-def`
812×	`fma-neg`
722×	`distribute-lft-out`
678×	`*-commutative`
586×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	645
1	133	641
2	391	629
3	2005	619
4	4797	619
5	7577	619

Stop Event

1×	node limit

Compiler

Compiled 16 to 9 computations (43.8% saved)

end0.0ms (0%)

preprocess38.0ms (2.8%)

Compiler: Compiled 64 to 34 computations (46.9% saved)

analyze0.0ms (0%)

sample678.0ms (49.7%)

preprocess116.0ms (8.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize73.0ms (5.3%)

series2.0ms (0.2%)

rewrite54.0ms (4%)

simplify76.0ms (5.6%)

eval8.0ms (0.6%)

prune5.0ms (0.4%)

localize26.0ms (1.9%)

series4.0ms (0.3%)

rewrite70.0ms (5.1%)

simplify59.0ms (4.3%)

eval2.0ms (0.2%)

prune4.0ms (0.3%)

localize0.0ms (0%)

eval1.0ms (0.1%)

prune8.0ms (0.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes16.0ms (1.2%)

regimes10.0ms (0.7%)

regimes6.0ms (0.4%)

simplify6.0ms (0.5%)

soundness98.0ms (7.2%)

end0.0ms (0%)

preprocess38.0ms (2.8%)

Profiling