Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

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

sample1.4s (26.9%)

Results

1.1s	6525×	256	valid
205.0ms	1730×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 558.0ms

Operation ival-sub, time spent: 338.0ms, 61.0% of total-time

Operation ival-mult, time spent: 158.0ms, 28.0% of total-time

Operation ival-add, time spent: 48.0ms, 9.0% of total-time

Operation const, time spent: 14.0ms, 3.0% of total-time

Bogosity

preprocess338.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

2364×	`fma-neg`
606×	`fma-define`
392×	`distribute-rgt-in`
392×	`unsub-neg`
264×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`y`
0	-	-	`(*.f64 (-.f64 1 x) z)`
0	-	-	`(-.f64 1 x)`
0	-	-	`1`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-mult, time spent: 11.0ms, 43.0% of total-time

Operation ival-sub, time spent: 10.0ms, 39.0% of total-time

Operation ival-add, time spent: 3.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

eval1.0ms (0%)

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

prune5.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (-.f64 1 x) z (*.f64 x y))
▶	100.0%	(fma.f64 x (-.f64 y z) z)
▶	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	98.8%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize113.0ms (2.2%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.6%	(fma.f64 (-.f64 1 x) z (*.f64 x y))
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	100.0%	(*.f64 x (-.f64 z y))
✓	100.0%	(*.f64 (-.f64 1 x) z)
✓	98.9%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 76 to 26 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

Operation ival-sub, time spent: 14.0ms, 36.0% of total-time

Operation ival-mult, time spent: 11.0ms, 29.0% of total-time

Operation composed, time spent: 8.0ms, 21.0% of total-time

Operation ival-add, time spent: 4.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series46.0ms (0.9%)

Counts

6 → 192

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(*.f64 (-.f64 1 x) z)
2.0ms	y	@	0	(fma.f64 x (-.f64 y z) z)
2.0ms	x	@	-inf	(fma.f64 x (-.f64 y z) z)
1.0ms	x	@	inf	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
1.0ms	z	@	inf	(*.f64 (-.f64 1 x) z)

rewrite277.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`log1p-expm1-u`
888×	`expm1-log1p-u`
248×	`associate-r`
150×	`add-cube-cbrt`
147×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	165
1	329	165
2	4703	165

Stop Event

1×	node limit

Counts

6 → 170

Calls

Call 1

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

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

eval75.0ms (1.5%)

Compiler: Compiled 4634 to 2095 computations (54.8% saved)

prune36.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	354	8	362
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	356	10	366

Accuracy

100.0%

Counts

366 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
	57.6%	(-.f64 z (*.f64 x z))
✓	98.8%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	73.0%	(+.f64 (*.f64 x y) z)
▶	92.6%	(.f64 z (-.f64 (+.f64 1 (/.f64 (.f64 x y) z)) x))
	57.6%	(*.f64 z (-.f64 1 x))
▶	90.4%	(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 1 x)) y)))
▶	72.0%	(*.f64 x (-.f64 y z))
	46.2%	(*.f64 x y)
▶	29.3%	z

Compiler

Compiled 162 to 106 computations (34.6% saved)

localize192.0ms (3.8%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 z (-.f64 1 x))
✓	100.0%	(+.f64 x (/.f64 (*.f64 z (-.f64 1 x)) y))
✓	97.3%	(/.f64 (*.f64 z (-.f64 1 x)) y)
✓	91.2%	(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 1 x)) y)))
✓	100.0%	(+.f64 (*.f64 x y) z)
✓	100.0%	(*.f64 x (-.f64 y z))
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (*.f64 x y) z)) x)
✓	100.0%	(+.f64 1 (/.f64 (*.f64 x y) z))
✓	93.7%	(/.f64 (*.f64 x y) z)
✓	92.9%	(.f64 z (-.f64 (+.f64 1 (/.f64 (.f64 x y) z)) x))

Compiler

Compiled 105 to 40 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

Operation ival-mult, time spent: 17.0ms, 38.0% of total-time

Operation ival-sub, time spent: 11.0ms, 25.0% of total-time

Operation ival-div, time spent: 8.0ms, 18.0% of total-time

Operation ival-add, time spent: 8.0ms, 18.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

series71.0ms (1.4%)

Counts

10 → 231

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 1 x)) y)))
3.0ms	y	@	inf	(.f64 z (-.f64 (+.f64 1 (/.f64 (.f64 x y) z)) x))
2.0ms	x	@	0	(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 1 x)) y)))
2.0ms	z	@	inf	(-.f64 (+.f64 1 (/.f64 (*.f64 x y) z)) x)
2.0ms	y	@	inf	(+.f64 x (/.f64 (*.f64 z (-.f64 1 x)) y))

rewrite229.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`log1p-expm1-u`
352×	`associate-r`
234×	`associate-l`
200×	`add-cube-cbrt`
199×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	303
1	414	283
2	6704	283

Stop Event

1×	node limit

Counts

10 → 339

Calls

Call 1

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

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

eval249.0ms (4.9%)

Compiler: Compiled 8101 to 3968 computations (51% saved)

prune75.0ms (1.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	566	4	570
Fresh	1	2	3
Picked	2	3	5
Done	1	1	2
Total	570	10	580

Accuracy

100.0%

Counts

580 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	57.6%	(-.f64 z (*.f64 x z))
▶	70.9%	(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))
✓	73.0%	(+.f64 (*.f64 x y) z)
	64.7%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))
▶	57.6%	(*.f64 z (-.f64 1 x))
▶	73.4%	(*.f64 y (+.f64 x (/.f64 z y)))
▶	46.2%	(*.f64 y x)
✓	72.0%	(*.f64 x (-.f64 y z))
✓	29.3%	z

Compiler

Compiled 140 to 89 computations (36.4% saved)

localize124.0ms (2.4%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	98.9%	(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))
✓	100.0%	(-.f64 z (*.f64 x z))
✓	100.0%	(*.f64 z (-.f64 1 x))
✓	100.0%	(+.f64 x (/.f64 z y))
✓	89.7%	(*.f64 y (+.f64 x (/.f64 z y)))

Compiler

Compiled 68 to 20 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

Operation ival-mult, time spent: 10.0ms, 46.0% of total-time

Operation ival-sub, time spent: 4.0ms, 18.0% of total-time

Operation ival-div, time spent: 3.0ms, 14.0% of total-time

Operation ival-add, time spent: 3.0ms, 14.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

Operation ival-neg, time spent: 1.0ms, 5.0% of total-time

series29.0ms (0.6%)

Counts

5 → 129

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(+.f64 x (/.f64 z y))
2.0ms	x	@	-inf	(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))
1.0ms	y	@	-inf	(*.f64 y (+.f64 x (/.f64 z y)))
1.0ms	y	@	0	(*.f64 y (+.f64 x (/.f64 z y)))
1.0ms	x	@	inf	(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))

rewrite150.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1009×	`log1p-expm1-u`
569×	`expm1-log1p-u`
328×	`associate-r`
194×	`associate-l`
160×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	122
1	351	113
2	5494	113

Stop Event

1×	node limit

Counts

5 → 209

Calls

Call 1

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

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

eval72.0ms (1.4%)

Compiler: Compiled 3667 to 1604 computations (56.3% saved)

prune36.0ms (0.7%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	1	1
Picked	1	4	5
Done	0	4	4
Total	338	10	348

Accuracy

100.0%

Counts

348 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(-.f64 (.f64 y x) (.f64 x z))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	57.6%	(-.f64 z (*.f64 x z))
✓	73.0%	(+.f64 (*.f64 x y) z)
▶	64.7%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))
✓	57.6%	(*.f64 z (-.f64 1 x))
✓	73.4%	(*.f64 y (+.f64 x (/.f64 z y)))
✓	46.2%	(*.f64 y x)
✓	72.0%	(*.f64 x (-.f64 y z))
✓	29.3%	z

Compiler

Compiled 84 to 53 computations (36.9% saved)

localize53.0ms (1.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	98.9%	(-.f64 (.f64 y x) (.f64 x z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) z) x)
✓	93.7%	(/.f64 (*.f64 x y) z)
✓	92.9%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-mult, time spent: 7.0ms, 56.0% of total-time

Operation ival-sub, time spent: 3.0ms, 24.0% of total-time

Operation ival-div, time spent: 2.0ms, 16.0% of total-time

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

series26.0ms (0.5%)

Counts

4 → 99

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))
1.0ms	z	@	-inf	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))
1.0ms	x	@	inf	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))
1.0ms	x	@	-inf	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))
1.0ms	z	@	0	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))

rewrite179.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`fma-define`
815×	`log1p-expm1-u`
815×	`expm1-log1p-u`
674×	`fma-neg`
404×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	124
1	250	115
2	3421	115

Stop Event

1×	node limit

Counts

4 → 379

Calls

Call 1

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

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

eval103.0ms (2%)

Compiler: Compiled 7400 to 2094 computations (71.7% saved)

prune73.0ms (1.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	478	0	478
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	478	10	488

Accuracy

100.0%

Counts

488 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.9%	(-.f64 (.f64 y x) (.f64 x z))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	57.6%	(-.f64 z (*.f64 x z))
✓	73.0%	(+.f64 (*.f64 x y) z)
✓	64.7%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) x))
✓	57.6%	(*.f64 z (-.f64 1 x))
✓	73.4%	(*.f64 y (+.f64 x (/.f64 z y)))
✓	46.2%	(*.f64 y x)
✓	72.0%	(*.f64 x (-.f64 y z))
✓	29.3%	z

Compiler

Compiled 197 to 97 computations (50.8% saved)

regimes40.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	z
10.0ms	y
9.0ms	x
8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes50.0ms (1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
10.0ms	y
9.0ms	x
9.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes88.0ms (1.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	z
24.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
98.4%	3	`x`
90.8%	3	`y`
90.0%	7	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes66.0ms (1.3%)

Counts

5 → 5

Calls

Call 1

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

Outputs
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 1 x))
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 1 x))
(*.f64 x (-.f64 y z))

Calls

3 calls:

26.0ms	x
22.0ms	z
18.0ms	y

Results

Accuracy	Segments	Branch
84.8%	5	`z`
82.1%	3	`y`
86.1%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes24.0ms (0.5%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
86.1%	5	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes50.0ms (1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
16.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
55.5%	3	`z`
55.5%	3	`y`
60.3%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

4.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
29.3%	1	`y`
29.3%	1	`z`
29.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.771148427223718e-5	0.2683900144959049
19.0ms	-165.47282851828854	-0.00028823486185238704

Results

30.0ms	271×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 324 to 217 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-mult, time spent: 5.0ms, 59.0% of total-time

Operation ival-sub, time spent: 2.0ms, 24.0% of total-time

Operation ival-add, time spent: 2.0ms, 24.0% of total-time

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

bsearch59.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.231493857714162e-119	2.57271714553094e-116
17.0ms	-2.577390958775498e-174	-3.2714583833041375e-178
17.0ms	-2.238625211625709e-125	-4.0137204468627623e-128
8.0ms	-488631.51001138386	-337882.5576800617

Results

49.0ms	445×	256	valid
0.0ms	2×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 522 to 377 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

Operation ival-mult, time spent: 7.0ms, 54.0% of total-time

Operation ival-sub, time spent: 3.0ms, 23.0% of total-time

Operation ival-add, time spent: 3.0ms, 23.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

bsearch68.0ms (1.3%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.231493857714162e-119	2.57271714553094e-116
17.0ms	-2.577390958775498e-174	-3.2714583833041375e-178
18.0ms	-2.238625211625709e-125	-4.0137204468627623e-128
16.0ms	-1.9707121392350108e-81	-2.2532557486125463e-83

Results

57.0ms	495×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 452 to 323 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-mult, time spent: 8.0ms, 56.0% of total-time

Operation ival-sub, time spent: 3.0ms, 21.0% of total-time

Operation ival-add, time spent: 3.0ms, 21.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

bsearch222.0ms (4.4%)

Algorithm

4×	binary-search

Stop Event

1×	done
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.231493857714162e-119	2.57271714553094e-116
16.0ms	-2.577390958775498e-174	-3.2714583833041375e-178
166.0ms	-2.238625211625709e-125	-4.0137204468627623e-128
16.0ms	-1.9707121392350108e-81	-2.2532557486125463e-83

Results

211.0ms	495×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 549 to 375 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-mult, time spent: 8.0ms, 55.0% of total-time

Operation ival-sub, time spent: 3.0ms, 21.0% of total-time

Operation ival-add, time spent: 3.0ms, 21.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

soundness357.0ms (7.1%)

Rules

2364×	`fma-neg`
606×	`fma-define`
392×	`distribute-rgt-in`
392×	`unsub-neg`
264×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

1×

saturated

Compiler

Compiled 252 to 101 computations (59.9% saved)

end0.0ms (0%)

preprocess73.0ms (1.4%)

Compiler: Compiled 306 to 134 computations (56.2% saved)

analyze0.0ms (0%)

sample1.4s (26.9%)

preprocess338.0ms (6.7%)

eval1.0ms (0%)

prune5.0ms (0.1%)

localize113.0ms (2.2%)

series46.0ms (0.9%)

rewrite277.0ms (5.5%)

eval75.0ms (1.5%)

prune36.0ms (0.7%)

localize192.0ms (3.8%)

series71.0ms (1.4%)

rewrite229.0ms (4.5%)

eval249.0ms (4.9%)

prune75.0ms (1.5%)

localize124.0ms (2.4%)

series29.0ms (0.6%)

rewrite150.0ms (3%)

eval72.0ms (1.4%)

prune36.0ms (0.7%)

localize53.0ms (1.1%)

series26.0ms (0.5%)

rewrite179.0ms (3.5%)

eval103.0ms (2%)

prune73.0ms (1.4%)

regimes40.0ms (0.8%)

regimes50.0ms (1%)

regimes88.0ms (1.7%)

regimes66.0ms (1.3%)

regimes24.0ms (0.5%)

regimes50.0ms (1%)

regimes9.0ms (0.2%)

bsearch37.0ms (0.7%)

bsearch59.0ms (1.2%)

bsearch68.0ms (1.3%)

bsearch222.0ms (4.4%)

soundness357.0ms (7.1%)

end0.0ms (0%)

preprocess73.0ms (1.4%)

Profiling