Metrics for Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

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 13 to 9 computations (30.8% saved)

sample1.2s (55.6%)

Results

979.0ms	6603×	body	256	valid
229.0ms	1653×	body	256	infinite

Bogosity

preprocess202.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

2212×	`fma-def`
754×	`fma-neg`
392×	`distribute-rgt-in`
386×	`unsub-neg`
270×	`sub-neg`

Problems

251×	No Errors
5×	`(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	99	387
2	233	379
3	679	351
4	1703	339
5	2867	337
6	3237	337
7	3277	337
8	3281	337
9	3281	317
10	3924	317
11	3924	317

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(+.f64 (.f64 (-.f64 1 (neg.f64 x)) y) (.f64 (neg.f64 x) z))
(+.f64 (.f64 (-.f64 1 x) (neg.f64 y)) (.f64 x z))
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x (neg.f64 z)))
(neg.f64 (+.f64 (.f64 (-.f64 1 (neg.f64 x)) y) (.f64 (neg.f64 x) z)))
(neg.f64 (+.f64 (.f64 (-.f64 1 x) (neg.f64 y)) (.f64 x z)))
(neg.f64 (+.f64 (.f64 (-.f64 1 x) y) (.f64 x (neg.f64 z))))
(+.f64 (.f64 (-.f64 1 y) x) (.f64 y z))
(+.f64 (.f64 (-.f64 1 z) y) (.f64 z x))
(+.f64 (.f64 (-.f64 1 x) z) (.f64 x y))

Outputs
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 1 x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 1 x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (-.f64 1 (neg.f64 x)) y) (.f64 (neg.f64 x) z))
(fma.f64 (-.f64 1 (neg.f64 x)) y (*.f64 x (neg.f64 z)))
(-.f64 (.f64 y (+.f64 1 x)) (.f64 x z))
(+.f64 y (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) y)
(+.f64 (.f64 (-.f64 1 x) (neg.f64 y)) (.f64 x z))
(fma.f64 (-.f64 1 x) (neg.f64 y) (*.f64 x z))
(-.f64 (.f64 x z) (.f64 (-.f64 1 x) y))
(fma.f64 x z (*.f64 y (+.f64 x -1)))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x (neg.f64 z)))
(fma.f64 (-.f64 1 x) y (*.f64 x (neg.f64 z)))
(-.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (.f64 (-.f64 1 (neg.f64 x)) y) (.f64 (neg.f64 x) z)))
(neg.f64 (fma.f64 (-.f64 1 (neg.f64 x)) y (*.f64 x (neg.f64 z))))
(-.f64 (.f64 x z) (.f64 y (+.f64 1 x)))
(fma.f64 x z (*.f64 y (-.f64 -1 x)))
(neg.f64 (fma.f64 x (-.f64 y z) y))
(neg.f64 (+.f64 (.f64 (-.f64 1 x) (neg.f64 y)) (.f64 x z)))
(fma.f64 (-.f64 1 x) y (*.f64 x (neg.f64 z)))
(-.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (.f64 (-.f64 1 x) y) (.f64 x (neg.f64 z))))
(fma.f64 (-.f64 1 x) (neg.f64 y) (*.f64 x z))
(-.f64 (.f64 x z) (.f64 (-.f64 1 x) y))
(fma.f64 x z (*.f64 y (+.f64 x -1)))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (.f64 (-.f64 1 y) x) (.f64 y z))
(fma.f64 (-.f64 1 y) x (*.f64 y z))
(fma.f64 x (-.f64 1 y) (*.f64 y z))
(-.f64 x (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 (-.f64 1 z) y) (.f64 z x))
(fma.f64 (-.f64 1 z) y (*.f64 x z))
(fma.f64 x z (*.f64 y (-.f64 1 z)))
(fma.f64 y (-.f64 1 z) (*.f64 x z))
(-.f64 y (*.f64 z (-.f64 y x)))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 (.f64 (-.f64 1 x) z) (.f64 x y))
(fma.f64 (-.f64 1 x) z (*.f64 x y))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)

Compiler

Compiled 40 to 23 computations (42.5% saved)

eval1.0ms (0%)

Compiler: Compiled 39 to 18 computations (53.8% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 y (*.f64 x (-.f64 y z)))
▶	100.0%	(-.f64 y (*.f64 x (-.f64 y z)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize26.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 y z))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

9 calls:

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

rewrite97.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`unpow-prod-down`
718×	`prod-diff`
580×	`log1p-expm1-u`
580×	`expm1-log1p-u`
572×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	117	22
2	1522	22

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(*.f64 x (-.f64 y z))

Outputs
(+.f64 0 (*.f64 x (-.f64 y z)))
(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 y z) (pow.f64 y 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 y z))
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 z (+.f64 y z) (pow.f64 y 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 y z))
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (-.f64 y z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (-.f64 y z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 y z)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 y z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 y z))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (-.f64 y z)) 1)))
(exp.f64 (+.f64 (log.f64 (-.f64 y z)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y z)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (-.f64 y z)) 1) (.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 y x (*.f64 (neg.f64 z) x))

simplify68.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1370×	`log-prod`
866×	`associate-r`
798×	`associate-l`
676×	`prod-exp`
434×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1451
1	229	1412
2	606	1412
3	4042	1364
4	6941	1364

Stop Event

1×	node limit

Counts

58 → 50

Calls

Call 1

Inputs
(.f64 -1 (.f64 x z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(.f64 -1 (.f64 x z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(.f64 -1 (.f64 x z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(+.f64 0 (*.f64 x (-.f64 y z)))
(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 y z) (pow.f64 y 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 y z))
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 z (+.f64 y z) (pow.f64 y 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 y z))
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (-.f64 y z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (-.f64 y z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 y z)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 y z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 y z))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (-.f64 y z)) 1)))
(exp.f64 (+.f64 (log.f64 (-.f64 y z)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y z)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (-.f64 y z)) 1) (.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 y x (*.f64 (neg.f64 z) x))

Outputs
(.f64 -1 (.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 -1 (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 0 (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))
(*.f64 x (-.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(*.f64 x (-.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)
(*.f64 x (-.f64 y z))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 y z) (pow.f64 y 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(*.f64 (/.f64 x (fma.f64 z (+.f64 z y) (pow.f64 y 2))) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z y) (pow.f64 y 2))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 y z))
(/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 (+.f64 z y) x))
(*.f64 (/.f64 x (+.f64 z y)) (-.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 x (+.f64 z y)))
(.f64 x (.f64 1 (-.f64 y z)))
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 z (+.f64 y z) (pow.f64 y 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(*.f64 (/.f64 x (fma.f64 z (+.f64 z y) (pow.f64 y 2))) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z y) (pow.f64 y 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 y z))
(/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 (+.f64 z y) x))
(*.f64 (/.f64 x (+.f64 z y)) (-.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 x (+.f64 z y)))
(.f64 x (.f64 1 (-.f64 y z)))
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(*.f64 x (-.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)
(*.f64 x (-.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2) 1/2)
(*.f64 x (-.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)
(*.f64 x (-.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)
(*.f64 x (-.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))
(*.f64 x (-.f64 y z))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))
(*.f64 x (-.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y z))) 1))
(*.f64 x (-.f64 y z))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (-.f64 y z))) 1) 1))
(*.f64 x (-.f64 y z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 y z)))) 3))
(*.f64 x (-.f64 y z))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (-.f64 y z)) 3)) 1/3))
(*.f64 x (-.f64 y z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 y z)))) 2))
(*.f64 x (-.f64 y z))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 y z)) 1)))
(*.f64 x (-.f64 y z))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 y z))))
(*.f64 x (-.f64 y z))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (-.f64 y z)) 1)))
(*.f64 x (-.f64 y z))
(exp.f64 (+.f64 (log.f64 (-.f64 y z)) (*.f64 (log.f64 x) 1)))
(*.f64 x (-.f64 y z))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y z)) 1) (log.f64 x)))
(*.f64 x (-.f64 y z))
(exp.f64 (+.f64 (.f64 (log.f64 (-.f64 y z)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (-.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(fma.f64 y x (*.f64 (neg.f64 z) x))
(*.f64 x (-.f64 y z))

eval11.0ms (0.5%)

Compiler: Compiled 616 to 265 computations (57% saved)

prune10.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Accuracy

100.0%

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(-.f64 y (*.f64 z (neg.f64 x)))
✓	100.0%	(-.f64 y (*.f64 x (-.f64 y z)))
▶	61.4%	(-.f64 y (*.f64 x y))
▶	80.3%	(-.f64 y (*.f64 z (neg.f64 x)))
✓	100.0%	(-.f64 y (*.f64 x (-.f64 y z)))
▶	61.4%	(-.f64 y (*.f64 x y))

Compiler

Compiled 54 to 34 computations (37% saved)

localize39.0ms (1.8%)

Compiler: Compiled 29 to 9 computations (69% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.3%	(-.f64 y (*.f64 z (neg.f64 x)))
✓	100.0%	(-.f64 y (*.f64 x (-.f64 y z)))
✓	61.4%	(-.f64 y (*.f64 x y))

Compiler

Compiled 57 to 33 computations (42.1% saved)

regimes20.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 y (*.f64 x y))
(-.f64 y (*.f64 z (neg.f64 x)))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Outputs
(-.f64 y (*.f64 x (-.f64 y z)))

Calls

4 calls:

6.0ms	x
5.0ms	z
4.0ms	y
4.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))`

Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes54.0ms (2.5%)

Counts

2 → 3

Calls

Call 1

Inputs
(-.f64 y (*.f64 x y))
(-.f64 y (*.f64 z (neg.f64 x)))

Outputs
(-.f64 y (*.f64 z (neg.f64 x)))
(-.f64 y (*.f64 x y))
(-.f64 y (*.f64 z (neg.f64 x)))

Calls

3 calls:

18.0ms	y
18.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
86.6%	5	`x`
92.0%	5	`y`
91.3%	3	`z`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes10.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 y (*.f64 x y))

Outputs
(-.f64 y (*.f64 x y))

Calls

3 calls:

4.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
61.4%	1	`x`
61.4%	1	`y`
61.4%	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch29.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.308932151707352e-100	2.746083976286933e-99
18.0ms	-3.3692018190036785e+86	-3.0766567314019246e+74

Results

22.0ms	224×	body	256	valid
4.0ms	32×	body	256	infinite

Compiler

Compiled 322 to 221 computations (31.4% saved)

simplify19.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

114×	`distribute-lft-neg-in`
94×	`unsub-neg`
62×	`neg-mul-1`
56×	`cancel-sign-sub`
54×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	132
1	55	128
2	91	128
3	130	128
4	186	128
5	249	128
6	290	128
7	320	128
8	342	128
9	357	128
10	378	128
11	390	128
12	393	128

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(-.f64 y (*.f64 x (-.f64 y z)))

(if (<=.f64 z -310000000000000021418128381831404243691686536093806614412002719158715285504) (-.f64 y (*.f64 z (neg.f64 x))) (if (<=.f64 z 207784017051299/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 z (neg.f64 x)))))

(-.f64 y (*.f64 x y))

Outputs
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 z -310000000000000021418128381831404243691686536093806614412002719158715285504) (-.f64 y (.f64 z (neg.f64 x))) (if (<=.f64 z 207784017051299/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (-.f64 y (.f64 x y)) (-.f64 y (*.f64 z (neg.f64 x)))))
(if (or (<=.f64 z -310000000000000021418128381831404243691686536093806614412002719158715285504) (not (<=.f64 z 207784017051299/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136))) (-.f64 y (.f64 z (neg.f64 x))) (-.f64 y (.f64 y x)))
(if (or (<=.f64 z -310000000000000021418128381831404243691686536093806614412002719158715285504) (not (<=.f64 z 207784017051299/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136))) (+.f64 y (.f64 x z)) (-.f64 y (.f64 y x)))
(-.f64 y (*.f64 x y))
(-.f64 y (*.f64 y x))

Compiler

Compiled 40 to 25 computations (37.5% saved)

soundness334.0ms (15.2%)

Rules

2212×	`fma-def`
1370×	`log-prod`
866×	`associate-r`
798×	`associate-l`
754×	`fma-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	99	387
2	233	379
3	679	351
4	1703	339
5	2867	337
6	3237	337
7	3277	337
8	3281	337
9	3281	317
10	3924	317
11	3924	317
0	108	1451
1	229	1412
2	606	1412
3	4042	1364
4	6941	1364

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 154 to 75 computations (51.3% saved)

end0.0ms (0%)

preprocess45.0ms (2.1%)

Compiler: Compiled 112 to 62 computations (44.6% saved)

Iter	Nodes	Cost
0	27	132
1	55	128
2	91	128
3	130	128
4	186	128
5	249	128
6	290	128
7	320	128
8	342	128
9	357	128
10	378	128
11	390	128
12	393	128

Iter	Nodes	Cost
0	27	132
1	55	128
2	91	128
3	130	128
4	186	128
5	249	128
6	290	128
7	320	128
8	342	128
9	357	128
10	378	128
11	390	128
12	393	128

analyze0.0ms (0%)

sample1.2s (55.6%)

preprocess202.0ms (9.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize26.0ms (1.2%)

series4.0ms (0.2%)

rewrite97.0ms (4.4%)

simplify68.0ms (3.1%)

eval11.0ms (0.5%)

prune10.0ms (0.5%)

localize39.0ms (1.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes20.0ms (0.9%)

regimes54.0ms (2.5%)

regimes10.0ms (0.4%)

bsearch29.0ms (1.3%)

simplify19.0ms (0.9%)

soundness334.0ms (15.2%)

end0.0ms (0%)

preprocess45.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	27	132
1	55	128
2	91	128
3	130	128
4	186	128
5	249	128
6	290	128
7	320	128
8	342	128
9	357	128
10	378	128
11	390	128
12	393	128