Details

analyze409.0ms (7.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
3.1%	3.1%	96.7%	0.1%	0%	0%	0%	8
14.3%	14%	84.3%	0.1%	1.6%	0%	0%	9
20.3%	19.5%	76.5%	0.1%	3.9%	0%	0%	10
26.4%	25.4%	70.6%	0.1%	3.9%	0%	0%	11
41.7%	38.8%	54.2%	0.1%	6.8%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (21.8%)

Results

1.1s	8256×	body	256	valid
116.0ms	1015×	body	256	infinite

Bogosity

preprocess79.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

795×	`div-sub_binary64`
507×	`sub-neg_binary64`
434×	`fma-def_binary64`
430×	`neg-mul-1_binary64`
343×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	35	40
2	83	40
3	209	40
4	451	40
5	1099	40
6	3565	40
7	7044	40
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify144.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-def_binary64`
681×	`fma-neg_binary64`
493×	`associate-/l*_binary64`
399×	`associate-*l/_binary64`
383×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	27	10
3	60	10
4	132	10
5	240	10
6	438	10
7	1254	10
8	6014	10

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.3b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	12.3b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 20 to 12 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	7.0b	(*.f64 z (/.f64 x y))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2408	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 (neg.f64 (.f64 z x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (.f64 z x) y)) (fma.f64 (/.f64 (neg.f64 (.f64 z x)) y) 1 (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (.f64 z x) y)) 2) (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z x) y))) (sqrt.f64 (/.f64 (.f64 z x) y)) (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (/.f64 (.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 x (/.f64 (.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 x (/.f64 (.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 (.f64 z x) y) (+.f64 x (/.f64 (.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (/.f64 (.f64 z x) y) (+.f64 x (/.f64 (.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (.f64 z x) y)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 z x) y) 3)) (fma.f64 x x (.f64 (/.f64 (.f64 z x) y) (+.f64 x (/.f64 (.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 z x) y) 2)) (+.f64 x (/.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (.f64 (/.f64 (.f64 z x) y) (+.f64 x (/.f64 (.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (.f64 z x)) y) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 (neg.f64 (.f64 z x)) y) (/.f64 (neg.f64 (.f64 z x)) y)) (.f64 x (/.f64 (neg.f64 (.f64 z x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (neg.f64 (.f64 z x)) y) (/.f64 (neg.f64 (.f64 z x)) y))) (-.f64 x (/.f64 (neg.f64 (.f64 z x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (*.f64 z x)) y))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 z x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (+.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) (/.f64 (neg.f64 (*.f64 z x)) y)) (*.f64 x (/.f64 (neg.f64 (*.f64 z x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) (/.f64 (neg.f64 (*.f64 z x)) y))) (-.f64 x (/.f64 (neg.f64 (*.f64 z x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (*.f64 z x)) y))))))

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

380×	`fma-def_binary64`
179×	`fma-neg_binary64`
58×	`cancel-sign-sub-inv_binary64`
49×	`associate-r_binary64`
46×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	582
1	35	582
2	66	582
3	116	582
4	224	582
5	410	582
6	803	582
7	1079	582
8	1271	582
9	1390	582
10	1404	582
11	1409	582

Stop Event

1×

saturated

Counts

131 → 67

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	11.7b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series12.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite142.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary64`
918×	`add-log-exp_binary64`
918×	`log1p-expm1-u_binary64`
918×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	17
2	2384	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x y) (-.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (/.f64 y (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (-.f64 y z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 y z) (.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 y z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 x y) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y z))) 2) (.f64 (cbrt.f64 (.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 x y) (-.f64 y z))) (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) (-.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) (-.f64 y z))) 2) (cbrt.f64 (.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (-.f64 y z))) (.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 x y) (-.f64 y z))) (sqrt.f64 (.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 (-.f64 y z))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 y z) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x y) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 y z))) 1) (/.f64 (sqrt.f64 (.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x (-.f64 y z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x (-.f64 y z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 x (-.f64 y z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 x y) (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 x y) (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 x y) (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x (-.f64 y z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 x y) (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 x y) (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 x (-.f64 y z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 x y) (-.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 y z))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 y z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (-.f64 y z))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (-.f64 y z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (-.f64 y z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 y z))))))))

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

422×	`times-frac_binary64`
390×	`neg-sub0_binary64`
366×	`fma-def_binary64`
357×	`neg-mul-1_binary64`
310×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	570
1	34	570
2	74	570
3	143	570
4	265	570
5	552	570
6	1301	570
7	5124	570
8	7370	570

Stop Event

1×	node limit

Counts

134 → 73

Calls

Call 1

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

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

eval28.0ms (0.5%)

Compiler: Compiled 1714 to 506 computations (70.5% saved)

prune24.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	134	6	140
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	8	142

Error

Counts

142 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.4b	(/.f64 (*.f64 y x) y)
▶	39.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
▶	5.4b	(-.f64 x (/.f64 z (/.f64 y x)))
▶	41.5b	(*.f64 x (/.f64 (neg.f64 z) y))
✓	6.3b	(-.f64 x (*.f64 z (/.f64 x y)))
	25.9b	x
✓	12.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	40.2b	(*.f64 (neg.f64 z) (/.f64 x y))

Compiler

Compiled 114 to 73 computations (36% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	6.7b	(/.f64 z (/.f64 y x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite121.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`prod-diff_binary64`
492×	`log-prod_binary64`
280×	`pow-prod-down_binary64`
239×	`fma-def_binary64`
234×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	17
2	2605	17

Stop Event

1×	node limit

Counts

2 → 266

Calls

Call 1

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

Outputs

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(*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 z y)) x x)))))

simplify124.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

380×	`fma-def_binary64`
179×	`fma-neg_binary64`
58×	`cancel-sign-sub-inv_binary64`
49×	`associate-r_binary64`
46×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	582
1	35	582
2	66	582
3	116	582
4	224	582
5	410	582
6	803	582
7	1079	582
8	1271	582
9	1390	582
10	1404	582
11	1409	582

Stop Event

1×

saturated

Counts

338 → 274

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.6b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1513	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) (sqrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) x)))))))

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

64 → 41

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.6b	(*.f64 x (/.f64 (neg.f64 z) y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2150	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

57 → 23

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.0b	(*.f64 (neg.f64 z) (/.f64 x y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite77.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
658×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2083	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

60 → 26

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.5b	(/.f64 (*.f64 x (neg.f64 z)) y)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite118.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2171	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x z) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (cbrt.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) (sqrt.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) 1) (/.f64 (sqrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))))))

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

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

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

eval161.0ms (2.9%)

Compiler: Compiled 8160 to 2721 computations (66.7% saved)

prune99.0ms (1.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	406	1	407
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	406	9	415

Error

Counts

415 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.3b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	62.2b	(/.f64 z (/.f64 y x))
✓	35.4b	(/.f64 (*.f64 y x) y)
✓	39.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	5.4b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	41.5b	(*.f64 x (/.f64 (neg.f64 z) y))
	25.9b	x
✓	12.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.2b	(*.f64 (neg.f64 z) (/.f64 x y))

Compiler

Compiled 77 to 49 computations (36.4% saved)

localize33.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.7b	(/.f64 z (/.f64 y x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

eval10.0ms (0.2%)

Compiler: Compiled 507 to 185 computations (63.5% saved)

prune17.0ms (0.3%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	52	9	61

Error

Counts

61 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.3b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	62.2b	(/.f64 z (/.f64 y x))
✓	35.4b	(/.f64 (*.f64 y x) y)
✓	39.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	5.4b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	41.5b	(*.f64 x (/.f64 (neg.f64 z) y))
	25.9b	x
✓	12.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.2b	(*.f64 (neg.f64 z) (/.f64 x y))

Compiler

Compiled 77 to 49 computations (36.4% saved)

eval0.0ms (0%)

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

prune45.0ms (0.8%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.3b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	62.2b	(/.f64 z (/.f64 y x))
✓	35.4b	(/.f64 (*.f64 y x) y)
✓	39.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	5.4b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	41.5b	(*.f64 x (/.f64 (neg.f64 z) y))
	25.9b	x
✓	12.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.2b	(*.f64 (neg.f64 z) (/.f64 x y))

Compiler

Compiled 77 to 49 computations (36.4% saved)

regimes154.0ms (2.8%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	x
45.0ms	z
26.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
17.0ms	y

Results

Error	Segments	Branch
4.4b	3	`x`
3.3b	3	`y`
4.0b	3	`z`
0.2b	5	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 75 to 35 computations (53.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.814164277395742e+294	1.7378169852166454e+307
0.0ms	5.0942404811094154e-250	7.774873090034677e-244
0.0ms	-1.665596560562312e-92	-4.247970667951278e-96
0.0ms	-5.7988737505883484e+305	-1.2611506612248127e+292

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes64.0ms (1.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	y
22.0ms	z
5.0ms	x

Results

Error	Segments	Branch
5.4b	1	`x`
4.4b	3	`y`
4.0b	3	`z`

Compiler

Compiled 58 to 26 computations (55.2% saved)

bsearch55.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.8032510996784576e-129	1.9627514518008533e-125
36.0ms	-6.283335327159574e-196	-2.055825353967095e-200

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes147.0ms (2.7%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

82.0ms	z
42.0ms	x
20.0ms	y

Results

Error	Segments	Branch
17.6b	9	`x`
16.3b	3	`y`
15.1b	5	`z`

Compiler

Compiled 44 to 23 computations (47.7% saved)

bsearch583.0ms (10.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
199.0ms	2.5258311074358974e-11	6.233332663496318e-7
53.0ms	-7.672487080657242e-37	-2.595841598488202e-41
232.0ms	-2.2620568514839577e+52	-6.86001155460711e+34
99.0ms	-3.2254852747994517e+87	-3.5500896864990777e+84

Compiler

Compiled 406 to 297 computations (26.8% saved)

regimes139.0ms (2.5%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	z
43.0ms	y
39.0ms	x

Results

Error	Segments	Branch
17.9b	9	`x`
16.3b	3	`y`
16.1b	5	`z`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch421.0ms (7.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
144.0ms	2.5258311074358974e-11	6.233332663496318e-7
20.0ms	-7.672487080657242e-37	-2.595841598488202e-41
125.0ms	-2.2620568514839577e+52	-6.86001155460711e+34
132.0ms	-3.2254852747994517e+87	-3.5500896864990777e+84

Compiler

Compiled 406 to 297 computations (26.8% saved)

regimes29.0ms (0.5%)

Accuracy

Total -36.5b remaining (-141.3%)

Threshold costs -36.5b (-141.3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

12.0ms	x
8.0ms	y
8.0ms	z

Results

Error	Segments	Branch
25.9b	1	`x`
25.9b	1	`y`
25.9b	1	`z`

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	250
1	68	250
2	90	250
3	105	250
4	114	250
5	117	250

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -5871356456934583/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (*.f64 z (/.f64 x y)))))))
(if (<=.f64 z -3305119773585927/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 1093880632074117/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) x (-.f64 x (/.f64 z (/.f64 y x)))))
(if (<=.f64 z -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -69999999999999999649030682913538048) x (if (<=.f64 z -4592989155647799/5986310706507378352962293074805895248510699696029696) (.f64 (neg.f64 z) (/.f64 x y)) (if (<=.f64 z 2833419889721787/4722366482869645213696) x (*.f64 (neg.f64 z) (/.f64 x y))))))
(if (<=.f64 z -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -69999999999999999649030682913538048) x (if (<=.f64 z -4592989155647799/5986310706507378352962293074805895248510699696029696) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z 2833419889721787/4722366482869645213696) x (/.f64 (*.f64 x (neg.f64 z)) y)))))
x

Outputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -5871356456934583/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (*.f64 z (/.f64 x y)))))))
(if (<=.f64 z -3305119773585927/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 1093880632074117/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) x (-.f64 x (/.f64 z (/.f64 y x)))))
(if (<=.f64 z -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -69999999999999999649030682913538048) x (if (<=.f64 z -4592989155647799/5986310706507378352962293074805895248510699696029696) (.f64 (neg.f64 z) (/.f64 x y)) (if (<=.f64 z 2833419889721787/4722366482869645213696) x (*.f64 (neg.f64 z) (/.f64 x y))))))
(if (<=.f64 z -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -69999999999999999649030682913538048) x (if (<=.f64 z -4592989155647799/5986310706507378352962293074805895248510699696029696) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z 2833419889721787/4722366482869645213696) x (*.f64 (/.f64 x y) (neg.f64 z))))))
(if (<=.f64 z -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -69999999999999999649030682913538048) x (if (<=.f64 z -4592989155647799/5986310706507378352962293074805895248510699696029696) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z 2833419889721787/4722366482869645213696) x (*.f64 z (neg.f64 (/.f64 x y)))))))
(if (<=.f64 z -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -69999999999999999649030682913538048) x (if (<=.f64 z -4592989155647799/5986310706507378352962293074805895248510699696029696) (.f64 z (/.f64 (neg.f64 x) y)) (if (<=.f64 z 2833419889721787/4722366482869645213696) x (*.f64 z (/.f64 (neg.f64 x) y))))))
(if (<=.f64 z -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -69999999999999999649030682913538048) x (if (<=.f64 z -4592989155647799/5986310706507378352962293074805895248510699696029696) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z 2833419889721787/4722366482869645213696) x (/.f64 (*.f64 x (neg.f64 z)) y)))))
x

Compiler

Compiled 186 to 78 computations (58.1% saved)

soundness363.0ms (6.6%)

Algorithm

2×	egg-herbie

Rules

816×	`fma-def_binary64`
816×	`fma-def_binary64`
681×	`fma-neg_binary64`
681×	`fma-neg_binary64`
493×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	27	10
3	60	10
4	132	10
5	240	10
6	438	10
7	1254	10
8	6014	10
0	7	10
1	12	10
2	27	10
3	60	10
4	132	10
5	240	10
6	438	10
7	1254	10
8	6014	10

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 168 to 98 computations (41.7% saved)

end105.0ms (1.9%)

Compiler: Compiled 174 to 60 computations (65.5% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Details

analyze409.0ms (7.4%)

sample1.2s (21.8%)

preprocess79.0ms (1.4%)

simplify144.0ms (2.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series10.0ms (0.2%)

rewrite65.0ms (1.2%)

simplify80.0ms (1.5%)

localize7.0ms (0.1%)

series12.0ms (0.2%)

rewrite142.0ms (2.6%)

simplify83.0ms (1.5%)

eval28.0ms (0.5%)

prune24.0ms (0.4%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite121.0ms (2.2%)

simplify124.0ms (2.2%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite67.0ms (1.2%)

simplify8.0ms (0.2%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify31.0ms (0.6%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite77.0ms (1.4%)

simplify59.0ms (1.1%)

localize8.0ms (0.1%)

series3.0ms (0.1%)

rewrite118.0ms (2.1%)

simplify31.0ms (0.6%)

eval161.0ms (2.9%)

prune99.0ms (1.8%)

localize33.0ms (0.6%)

eval10.0ms (0.2%)

prune17.0ms (0.3%)

eval0.0ms (0%)

prune45.0ms (0.8%)

regimes154.0ms (2.8%)

bsearch1.0ms (0%)

regimes64.0ms (1.2%)

bsearch55.0ms (1%)

regimes147.0ms (2.7%)

bsearch583.0ms (10.6%)

regimes139.0ms (2.5%)

bsearch421.0ms (7.7%)

regimes29.0ms (0.5%)

simplify27.0ms (0.5%)

soundness363.0ms (6.6%)

end105.0ms (1.9%)

Profiling

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324