Details

analyze229.0ms (5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
3.1%	96.7%	0.1%	8
14%	84.3%	1.7%	9
19.5%	76.5%	4%	10
25.4%	70.6%	4%	11
38.8%	54.2%	7%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (24.5%)

Results

1.0s	8256×	body	256	valid
98.0ms	966×	body	256	invalid

preprocess72.0ms (1.6%)

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)

simplify51.0ms (1.1%)

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)))

eval0.0ms (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
▶	4.0b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	14.3b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 20 to 12 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	5.0b	(*.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
2.0ms	x	@	inf	(*.f64 z (/.f64 x y))
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	y	@	0	(*.f64 z (/.f64 x y))

rewrite92.0ms (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))))))

simplify92.0ms (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

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))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	13.6b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite64.0ms (1.4%)

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))))))))

simplify88.0ms (1.9%)

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)

eval25.0ms (0.5%)

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

prune25.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	132	8	140
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	134	8	142

Error

Counts

142 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	3.9b	(*.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))
	3.8b	(*.f64 (-.f64 1 (/.f64 z y)) x)
▶	37.6b	(/.f64 (*.f64 y x) y)
▶	39.0b	(/.f64 (*.f64 x (neg.f64 z)) y)
	27.4b	x
▶	3.2b	(-.f64 x (/.f64 z (/.f64 y x)))
▶	38.3b	(*.f64 (neg.f64 z) (/.f64 x y))
▶	39.0b	(*.f64 x (/.f64 (neg.f64 z) y))

Compiler

Compiled 138 to 91 computations (34.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	4.4b	(/.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	@	-inf	(/.f64 z (/.f64 y x))
0.0ms	z	@	-inf	(-.f64 x (/.f64 z (/.f64 y x)))
0.0ms	y	@	-inf	(/.f64 z (/.f64 y x))
0.0ms	x	@	-inf	(-.f64 x (/.f64 z (/.f64 y x)))

rewrite107.0ms (2.3%)

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

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

simplify95.0ms (2.1%)

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
✓	19.1b	(/.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	y	@	inf	(/.f64 (*.f64 y x) y)
0.0ms	y	@	-inf	(/.f64 (*.f64 y x) y)
0.0ms	x	@	inf	(/.f64 (*.f64 y x) y)

rewrite58.0ms (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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(*.f64 x (/.f64 (neg.f64 z) y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series20.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(*.f64 x (/.f64 (neg.f64 z) y))
0.0ms	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	z	@	inf	(*.f64 x (/.f64 (neg.f64 z) y))

rewrite53.0ms (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))))))))

simplify29.0ms (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)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(*.f64 (neg.f64 z) (/.f64 x y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (1.2%)

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))))))))

simplify29.0ms (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

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)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (*.f64 x (neg.f64 z)) y)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (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	x	@	inf	(/.f64 (*.f64 x (neg.f64 z)) y)
0.0ms	z	@	inf	(/.f64 (*.f64 x (neg.f64 z)) y)
0.0ms	x	@	-inf	(/.f64 (*.f64 x (neg.f64 z)) y)
0.0ms	y	@	inf	(/.f64 (*.f64 x (neg.f64 z)) y)

rewrite56.0ms (1.2%)

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)))))))

simplify29.0ms (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)))

eval98.0ms (2.1%)

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

prune64.0ms (1.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	405	2	407
Fresh	1	2	3
Picked	0	1	1
Done	0	4	4
Total	406	9	415

Error

Counts

415 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.9b	(*.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))
▶	3.8b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	38.3b	(*.f64 (neg.f64 z) (/.f64 x y))
▶	62.0b	(/.f64 z (/.f64 y x))
	27.4b	x
✓	37.6b	(/.f64 (*.f64 y x) y)
✓	39.0b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	3.2b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	39.0b	(*.f64 x (/.f64 (neg.f64 z) y))

Compiler

Compiled 79 to 52 computations (34.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 y (-.f64 y z)))
✓	3.6b	(*.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))

Compiler

Compiled 31 to 11 computations (64.5% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 1 (/.f64 y (-.f64 y z)))
0.0ms	y	@	-inf	(/.f64 1 (/.f64 y (-.f64 y z)))
0.0ms	z	@	0	(/.f64 1 (/.f64 y (-.f64 y z)))
0.0ms	y	@	inf	(/.f64 1 (/.f64 y (-.f64 y z)))
0.0ms	z	@	-inf	(/.f64 1 (/.f64 y (-.f64 y z)))

rewrite70.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
386×	`prod-diff_binary64`
328×	`pow-prod-down_binary64`
258×	`pow2_binary64`
201×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	199	17
2	2844	17

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-neg_binary64`
443×	`neg-mul-1_binary64`
366×	`times-frac_binary64`
343×	`distribute-rgt-neg-out_binary64`
337×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	513
1	36	477
2	74	477
3	136	477
4	246	477
5	487	477
6	1210	477
7	4594	477
8	7929	477

Stop Event

1×	node limit

Counts

150 → 101

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.6b	(*.f64 (-.f64 1 (/.f64 z y)) x)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite62.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
820×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	167	10
2	2200	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

456×	`fma-def_binary64`
218×	`fma-neg_binary64`
76×	`cancel-sign-sub-inv_binary64`
61×	`distribute-rgt-in_binary64`
56×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	18	210
2	40	210
3	79	210
4	142	210
5	280	210
6	494	210
7	715	210
8	1113	210
9	1645	210
10	1659	210
11	1673	210
12	1678	210

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	4.4b	(/.f64 z (/.f64 y x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

eval38.0ms (0.8%)

Compiler: Compiled 1897 to 867 computations (54.3% saved)

prune36.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	177	9	186

Error

Counts

186 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.3b	(*.f64 (neg.f64 z) (/.f64 x y))
✓	62.0b	(/.f64 z (/.f64 y x))
	27.4b	x
✓	3.8b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	37.6b	(/.f64 (*.f64 y x) y)
✓	39.0b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	3.2b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	39.0b	(*.f64 x (/.f64 (neg.f64 z) y))
▶	3.6b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 77 to 50 computations (35.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
404×	`prod-diff_binary64`
373×	`exp-prod_binary64`
288×	`pow-prod-down_binary64`
234×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	163	10
2	2583	10

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

Outputs

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

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

920×	`fma-neg_binary64`
371×	`times-frac_binary64`
356×	`fma-def_binary64`
327×	`distribute-rgt-neg-out_binary64`
282×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	330
1	25	330
2	59	330
3	120	330
4	233	330
5	500	330
6	1228	330
7	4685	330

Stop Event

1×	node limit

Counts

97 → 67

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)

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

eval16.0ms (0.3%)

Compiler: Compiled 802 to 386 computations (51.9% saved)

prune16.0ms (0.3%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	0	1	1
Done	0	7	7
Total	67	9	76

Error

Counts

76 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.6b	(/.f64 (*.f64 y x) y)
	27.4b	x
✓	38.3b	(*.f64 (neg.f64 z) (/.f64 x y))
✓	62.0b	(/.f64 z (/.f64 y x))
✓	3.8b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	39.0b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	3.2b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	39.0b	(*.f64 x (/.f64 (neg.f64 z) y))
✓	3.6b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 77 to 50 computations (35.1% saved)

regimes97.0ms (2.1%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
30.0ms	z
18.0ms	x
11.0ms	y

Results

Error	Segments	Branch
1.7b	2	`x`
3.2b	1	`y`
1.0b	3	`z`
0.1b	5	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 100 to 44 computations (56% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.322671242982768e+299	2.297895304858932e+302
0.0ms	1.9383807830787164e+36	3.9883187843798874e+37
0.0ms	-2357.779621793861	-15.815844389318748
0.0ms	-inf	-1.2813176079356564e+306

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes53.0ms (1.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	z
14.0ms	x
8.0ms	y

Results

Error	Segments	Branch
1.7b	2	`x`
3.2b	1	`y`
1.0b	3	`z`

Compiler

Compiled 74 to 33 computations (55.4% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.5628093914221708e-21	2.5987634985802535e-20
14.0ms	-1.0268992998806754e+76	-2.0123917815581565e+73

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes51.0ms (1.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	z
15.0ms	x
7.0ms	y

Results

Error	Segments	Branch
1.7b	2	`x`
3.2b	1	`y`
1.0b	3	`z`

Compiler

Compiled 67 to 31 computations (53.7% saved)

bsearch37.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.5628093914221708e-21	2.5987634985802535e-20
16.0ms	-1.0268992998806754e+76	-2.0123917815581565e+73

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes25.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
7.0ms	z
7.0ms	x

Results

Error	Segments	Branch
3.6b	1	`x`
3.6b	1	`y`
3.6b	1	`z`

Compiler

Compiled 60 to 30 computations (50% saved)

regimes84.0ms (1.8%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
32.0ms	z
17.0ms	y

Results

Error	Segments	Branch
19.0b	5	`x`
14.6b	3	`y`
17.2b	5	`z`

Compiler

Compiled 46 to 23 computations (50% saved)

bsearch170.0ms (3.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
150.0ms	7.800934381340047e-39	6.527616045069921e-29
21.0ms	-3.0009859077370753e+50	-1.7216969848829532e+43

Compiler

Compiled 166 to 121 computations (27.1% saved)

regimes71.0ms (1.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
18.0ms	z
16.0ms	y

Results

Error	Segments	Branch
19.6b	7	`x`
15.5b	3	`y`
18.3b	3	`z`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch252.0ms (5.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
234.0ms	7.800934381340047e-39	6.527616045069921e-29
18.0ms	-3.0009859077370753e+50	-1.7216969848829532e+43

Compiler

Compiled 166 to 121 computations (27.1% saved)

regimes32.0ms (0.7%)

Accuracy

Total -34.9b remaining (-127.7%)

Threshold costs -34.9b (-127.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

10.0ms	y
9.0ms	z
9.0ms	x

Results

Error	Segments	Branch
27.4b	1	`x`
27.4b	1	`y`
27.4b	1	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	251
1	72	251
2	98	251
3	115	251
4	125	251
5	128	251

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -2000) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 2000000000000000084841274748035923968) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 z -999999999999999926539781176481198923508803215199467887262646419780362305536) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 8309319980615745/5316911983139663491615228241121378304) (.f64 (-.f64 1 (/.f64 z y)) x) (-.f64 x (.f64 z (/.f64 x y)))))
(if (<=.f64 z -999999999999999926539781176481198923508803215199467887262646419780362305536) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 8309319980615745/5316911983139663491615228241121378304) (*.f64 (-.f64 1 (/.f64 z y)) x) (-.f64 x (/.f64 z (/.f64 y x)))))
(/.f64 x (/.f64 y (-.f64 y z)))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (*.f64 (neg.f64 z) (/.f64 x y)) x))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (/.f64 (*.f64 x (neg.f64 z)) y) x))
x

Outputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -2000) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 2000000000000000084841274748035923968) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -2000) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 2000000000000000084841274748035923968) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 z -999999999999999926539781176481198923508803215199467887262646419780362305536) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 8309319980615745/5316911983139663491615228241121378304) (.f64 (-.f64 1 (/.f64 z y)) x) (-.f64 x (.f64 z (/.f64 x y)))))
(if (<=.f64 z -999999999999999926539781176481198923508803215199467887262646419780362305536) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 8309319980615745/5316911983139663491615228241121378304) (.f64 x (-.f64 1 (/.f64 z y))) (-.f64 x (.f64 z (/.f64 x y)))))
(if (<=.f64 z -999999999999999926539781176481198923508803215199467887262646419780362305536) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 8309319980615745/5316911983139663491615228241121378304) (*.f64 (-.f64 1 (/.f64 z y)) x) (-.f64 x (/.f64 z (/.f64 y x)))))
(if (<=.f64 z -999999999999999926539781176481198923508803215199467887262646419780362305536) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 z 8309319980615745/5316911983139663491615228241121378304) (*.f64 x (-.f64 1 (/.f64 z y))) (-.f64 x (/.f64 z (/.f64 y x)))))
(/.f64 x (/.f64 y (-.f64 y z)))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (*.f64 (neg.f64 z) (/.f64 x y)) x))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (*.f64 (/.f64 x y) (neg.f64 z)) x))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (/.f64 (*.f64 x (neg.f64 z)) y) x))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (/.f64 (neg.f64 (*.f64 x z)) y) x))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (/.f64 (*.f64 (neg.f64 x) z) y) x))
(if (<=.f64 y -300098590773707533258461311769285033271952135946240) x (if (<=.f64 y 6053357386420261/766247770432944429179173513575154591809369561091801088) (/.f64 (*.f64 z (neg.f64 x)) y) x))
x

Compiler

Compiled 194 to 96 computations (50.5% saved)

soundness363.0ms (7.9%)

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)

end118.0ms (2.6%)

Compiler: Compiled 176 to 68 computations (61.4% 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

analyze229.0ms (5%)

sample1.1s (24.5%)

preprocess72.0ms (1.6%)

simplify51.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series10.0ms (0.2%)

rewrite92.0ms (2%)

simplify92.0ms (2%)

localize8.0ms (0.2%)

series10.0ms (0.2%)

rewrite64.0ms (1.4%)

simplify88.0ms (1.9%)

eval25.0ms (0.5%)

prune25.0ms (0.5%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite107.0ms (2.3%)

simplify95.0ms (2.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (1.2%)

simplify8.0ms (0.2%)

localize6.0ms (0.1%)

series20.0ms (0.4%)

rewrite53.0ms (1.2%)

simplify29.0ms (0.6%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite54.0ms (1.2%)

simplify29.0ms (0.6%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite56.0ms (1.2%)

simplify29.0ms (0.6%)

eval98.0ms (2.1%)

prune64.0ms (1.4%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite70.0ms (1.5%)

simplify83.0ms (1.8%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite62.0ms (1.3%)

simplify49.0ms (1.1%)

localize5.0ms (0.1%)

eval38.0ms (0.8%)

prune36.0ms (0.8%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify76.0ms (1.7%)

eval16.0ms (0.3%)

prune16.0ms (0.3%)

regimes97.0ms (2.1%)

bsearch1.0ms (0%)

regimes53.0ms (1.1%)

bsearch32.0ms (0.7%)

regimes51.0ms (1.1%)

bsearch37.0ms (0.8%)

regimes25.0ms (0.5%)

regimes84.0ms (1.8%)

bsearch170.0ms (3.7%)

regimes71.0ms (1.5%)

bsearch252.0ms (5.5%)

regimes32.0ms (0.7%)

simplify30.0ms (0.7%)

soundness363.0ms (7.9%)

end118.0ms (2.6%)

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