Details

analyze319.0ms (6.1%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1000.0ms (19.1%)

Results

901.0ms	8256×	body	256	valid
87.0ms	945×	body	256	infinite

Bogosity

preprocess59.0ms (1.1%)

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)

simplify39.0ms (0.8%)

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 → 7

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 52 to 19 computations (63.5% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3	4	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	5	8

Error

0.0b

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.1b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	3.6b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	4.6b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	4.1b	(*.f64 x (-.f64 1 (/.f64 z y)))

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize97.0ms (1.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.9b	(*.f64 x (-.f64 1 (/.f64 z y)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite147.0ms (2.8%)

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

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

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
612×	`log-prod_binary64`
342×	`fma-neg_binary64`
324×	`*-commutative_binary64`
281×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	586
1	163	586
2	499	582
3	2514	582
4	7291	582

Stop Event

1×	node limit

Counts

55 → 35

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	5.8b	(*.f64 z (/.f64 x y))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series22.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	z	@	0	(*.f64 z (/.f64 x y))
1.0ms	y	@	0	(*.f64 z (/.f64 x y))
1.0ms	x	@	0	(*.f64 z (/.f64 x y))
0.0ms	z	@	inf	(*.f64 z (/.f64 x y))
0.0ms	x	@	inf	(*.f64 z (/.f64 x y))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

Outputs

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

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

939×	`times-frac_binary64`
549×	`fma-def_binary64`
330×	`unswap-sqr_binary64`
319×	`distribute-rgt-in_binary64`
298×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1279
1	395	1254
2	1706	1249

Stop Event

1×	node limit

Counts

131 → 73

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	3.4b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series11.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite55.0ms (1.1%)

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	17
1	163	17
2	2583	17

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary64`
400×	`unswap-sqr_binary64`
384×	`distribute-rgt-in_binary64`
375×	`distribute-lft-in_binary64`
270×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	2096
1	769	2038
2	2494	1948

Stop Event

1×	node limit

Counts

170 → 159

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 y z))
(+.f64 (.f64 -1 (/.f64 y z)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))))))
1
(+.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 z y) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
1
(+.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 z y) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
1
(+.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 z y) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
(*.f64 -1 (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 y z)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(*.f64 -1 (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 y z)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(+.f64 0 (*.f64 x (-.f64 1 (/.f64 z y))))
(+.f64 (.f64 y (/.f64 x y)) (.f64 (neg.f64 z) (/.f64 x y)))
(+.f64 (.f64 (/.f64 x y) y) (.f64 (/.f64 x y) (neg.f64 z)))
(+.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))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 z y))))) 1)
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 x (-.f64 1 (/.f64 z y))) 1)
(.f64 1 (.f64 x (-.f64 1 (/.f64 z y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1 (/.f64 z y))))
(.f64 (cbrt.f64 (.f64 x (-.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1 (/.f64 z y))))
(.f64 (sqrt.f64 (.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (-.f64 y z))))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (-.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 y z))))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (-.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) -2) (/.f64 x (cbrt.f64 (/.f64 y (-.f64 y z)))))
(.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)))))
(*.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)))))
(*.f64 (pow.f64 (/.f64 y (-.f64 y z)) -1/2) (/.f64 x (sqrt.f64 (/.f64 y (-.f64 y z)))))
(*.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)))))
(*.f64 (/.f64 x 1) (-.f64 1 (/.f64 z y)))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 y z)))
(.f64 (.f64 (/.f64 x y) 1) (-.f64 y z))
(.f64 (.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (-.f64 y z)) 2)) (cbrt.f64 (-.f64 y z)))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
(pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2)
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 y z)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (*.f64 x (-.f64 y z))) 1) -1)
(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))))))
(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))))))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (-.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 y z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1 (/.f64 z y)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 1 (/.f64 z y))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 1 (/.f64 z y))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (-.f64 y z)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 1) 1))
(fma.f64 y (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))
(fma.f64 (/.f64 x y) y (*.f64 (/.f64 x y) (neg.f64 z)))
(+.f64 0 (/.f64 y (-.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 y z)))) 1)
(*.f64 y (/.f64 1 (-.f64 y z)))
(*.f64 (/.f64 y (-.f64 y z)) 1)
(*.f64 1 (/.f64 y (-.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 z y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 z y)) -2)) (cbrt.f64 (/.f64 y (-.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (-.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 y z))) (sqrt.f64 (/.f64 y (-.f64 y z))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (-.f64 y z))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 y z))))
(*.f64 (/.f64 1 (-.f64 y z)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) -2) (/.f64 y (cbrt.f64 (-.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 y z)) 2)) (cbrt.f64 (/.f64 y (-.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 y z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) -1/2) (/.f64 y (sqrt.f64 (-.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 y z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 y z))))
(.f64 (/.f64 y (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 y z) (.f64 y y)))
(.f64 (/.f64 y (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
(pow.f64 (/.f64 y (-.f64 y z)) 1)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 z y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 y z))) 2)
(pow.f64 (-.f64 1 (/.f64 z y)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 y (-.f64 y z))))
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 y z) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 1 (/.f64 z y)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (-.f64 y z)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (-.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (-.f64 y z))))) (sqrt.f64 (log.f64 (/.f64 y (-.f64 y z)))))
(neg.f64 (/.f64 y (neg.f64 (-.f64 y z))))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 z y)) -2))
(log.f64 (exp.f64 (/.f64 y (-.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 y z) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 y z))))
(exp.f64 (log.f64 (/.f64 y (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 y z))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (-.f64 y z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 y z)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 y z)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 z y))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (-.f64 y z))) 1) 1))

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	11.5b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite48.0ms (0.9%)

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))))))))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

699×	`times-frac_binary64`
524×	`distribute-rgt-in_binary64`
514×	`distribute-lft-in_binary64`
353×	`unswap-sqr_binary64`
315×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1260
1	424	1260
2	1699	1260

Stop Event

1×	node limit

Counts

134 → 83

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

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

eval70.0ms (1.3%)

Compiler: Compiled 4498 to 1676 computations (62.7% saved)

prune60.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	342	8	350
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	344	10	354

Error

Counts

354 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	39.8b	(/.f64 (*.f64 z (neg.f64 x)) y)
▶	34.9b	(/.f64 (*.f64 y x) y)
✓	12.1b	(/.f64 (*.f64 x (-.f64 y z)) y)
	40.3b	(/.f64 (neg.f64 z) (/.f64 y x))
▶	41.0b	(/.f64 (neg.f64 x) (/.f64 y z))
▶	3.7b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))
▶	41.5b	(*.f64 (/.f64 z y) (neg.f64 x))
▶	40.2b	(*.f64 z (neg.f64 (/.f64 x y)))
✓	4.1b	(*.f64 x (-.f64 1 (/.f64 z y)))
	25.3b	x

Compiler

Compiled 154 to 102 computations (33.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 y z))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 y z)) y)
✓	3.4b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))

Compiler

Compiled 31 to 14 computations (54.8% saved)

series6.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
398×	`prod-diff_binary64`
316×	`pow-prod-down_binary64`
262×	`pow2_binary64`
184×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	197	24
2	2845	24

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
595×	`unswap-sqr_binary64`
542×	`distribute-rgt-in_binary64`
234×	`log-prod_binary64`
178×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	2566
1	839	2476
2	2848	2338

Stop Event

1×	node limit

Counts

204 → 193

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 y z))
(+.f64 (.f64 -1 (/.f64 y z)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))))))
1
(+.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 z y) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
1
(+.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 z y) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
1
(+.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 z y) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
(*.f64 -1 (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 y z)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(*.f64 -1 (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 y z)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (/.f64 y z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(/.f64 -1 z)
(-.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (/.f64 1 z))
(-.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 3)))) (/.f64 1 z))
(-.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 4))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 3))))) (/.f64 1 z))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 z (pow.f64 y 2)) (/.f64 (pow.f64 z 2) (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 z (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 4)) (/.f64 (pow.f64 z 2) (pow.f64 y 3)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 z (pow.f64 y 2)) (/.f64 (pow.f64 z 2) (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 z (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 4)) (/.f64 (pow.f64 z 2) (pow.f64 y 3)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 z (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 z (pow.f64 y 2)) (/.f64 (pow.f64 z 2) (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 z (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 4)) (/.f64 (pow.f64 z 2) (pow.f64 y 3)))))
(/.f64 -1 z)
(-.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (/.f64 1 z))
(-.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 3)))) (/.f64 1 z))
(-.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 4))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 3))))) (/.f64 1 z))
(/.f64 -1 z)
(-.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (/.f64 1 z))
(-.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 3)))) (/.f64 1 z))
(-.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 z 4))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 3))))) (/.f64 1 z))
(+.f64 0 (*.f64 x (/.f64 (-.f64 y z) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y)))) 1)
(*.f64 x (/.f64 (-.f64 y z) y))
(.f64 1 (.f64 x (/.f64 (-.f64 y z) y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 x (/.f64 (-.f64 y z) y)) 1)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 y z) y)))
(.f64 (cbrt.f64 (.f64 x (/.f64 (-.f64 y z) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (-.f64 y z) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(.f64 (sqrt.f64 (.f64 x (/.f64 (-.f64 y z) y))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (-.f64 y z))))
(*.f64 (/.f64 (-.f64 y z) y) x)
(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (-.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 y z))) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 1 y) (.f64 x (-.f64 y z)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) y) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 y z))))
(*.f64 (/.f64 x y) (-.f64 y z))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 (-.f64 y z))) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) -2) (/.f64 x (cbrt.f64 (/.f64 y (-.f64 y z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) 2)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (-.f64 y z)))))
(*.f64 (pow.f64 (/.f64 y (-.f64 y z)) -1/2) (/.f64 x (sqrt.f64 (/.f64 y (-.f64 y z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (/.f64 y (-.f64 y z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (-.f64 y z)))))
(pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2)
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 y z)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (*.f64 x (-.f64 y z))) 1) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (-.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 y z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (-.f64 y z) y))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (/.f64 (-.f64 y z) y)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 (-.f64 y z) y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 (-.f64 y z) y)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (-.f64 y z)))) -1))
(+.f64 0 (/.f64 y (-.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 y z)))) 1)
(/.f64 1 (/.f64 (-.f64 y z) y))
(/.f64 y (-.f64 y z))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (-.f64 y z) (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 (-.f64 y z) (sqrt.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 y z)))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
(/.f64 (/.f64 y 1) (-.f64 y z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 y z)) 2)) (cbrt.f64 (-.f64 y z)))
(/.f64 (*.f64 -1 y) (neg.f64 (-.f64 y z)))
(/.f64 (*.f64 y -1) (neg.f64 (-.f64 y z)))
(pow.f64 (/.f64 y (-.f64 y z)) 1)
(pow.f64 (pow.f64 (/.f64 y (-.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 y z))) 2)
(pow.f64 (/.f64 (-.f64 y z) y) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 y z) 3)) 1/3)
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 2))
(log.f64 (exp.f64 (/.f64 y (-.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 y z) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 y z))))
(exp.f64 (log.f64 (/.f64 y (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 y z))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (-.f64 y z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 y z)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 y z)))) 2))
(+.f64 0 (/.f64 1 (-.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 y z)))) 1)
(*.f64 1 (/.f64 1 (-.f64 y z)))
(*.f64 (/.f64 1 (-.f64 y z)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 y z) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y z) -2)) (/.f64 1 (cbrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) -1/2) (pow.f64 (-.f64 y z) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) -2) (/.f64 1 (cbrt.f64 (-.f64 y z))))
(.f64 (/.f64 1 (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (.f64 z (+.f64 y z))))
(.f64 (/.f64 1 (.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(pow.f64 (-.f64 y z) -1)
(pow.f64 (/.f64 1 (-.f64 y z)) 1)
(pow.f64 (pow.f64 (-.f64 y z) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 y z) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 y z) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 y z) -3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 y z)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 y z))) 3)
(pow.f64 (sqrt.f64 (-.f64 y z)) -2)
(pow.f64 (pow.f64 (-.f64 y z) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 y z))) -1)
(sqrt.f64 (pow.f64 (-.f64 y z) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 y z))))
(exp.f64 (neg.f64 (log.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y z))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 y z)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 y z))) 2))

Outputs
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z 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 z y) (neg.f64 x))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(*.f64 (-.f64 y z) (/.f64 x y))
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(.f64 (/.f64 (-.f64 y z) y) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
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(-.f64 x (*.f64 (/.f64 z y) x))
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(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
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(-.f64 x (*.f64 (/.f64 z y) x))
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(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
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(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
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(-.f64 x (*.f64 (/.f64 z y) x))
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(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
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(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
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(*.f64 (-.f64 y z) (/.f64 x y))
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(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (-.f64 y z)))) 1/3))
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(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 y z))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 y z))))))
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(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 y z)))) 3))
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(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 y z))) 2))
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localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.9b	(/.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)

rewrite42.0ms (0.8%)

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)))))))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-/l*_binary64`
552×	`times-frac_binary64`
496×	`log-div_binary64`
444×	`log-prod_binary64`
374×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	204
1	271	201
2	940	201
3	6176	181

Stop Event

1×	node limit

Counts

64 → 46

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(*.f64 z (neg.f64 (/.f64 x y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
638×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	149	7
2	2033	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 z (neg.f64 (/.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 (*.f64 (neg.f64 x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) 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 z) (/.f64 x y)))))) (#(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))))))))

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

574×	`log-prod_binary64`
516×	`distribute-rgt-in_binary64`
502×	`distribute-lft-in_binary64`
394×	`associate-l_binary64`
361×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	568
1	132	520
2	512	472
3	3075	472

Stop Event

1×	node limit

Counts

56 → 27

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(*.f64 (/.f64 z y) (neg.f64 x))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
660×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2088	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

675×	`log-prod_binary64`
431×	`associate-l_binary64`
393×	`associate-r_binary64`
365×	`fma-def_binary64`
279×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	637
1	162	571
2	607	505
3	4131	505

Stop Event

1×	node limit

Counts

61 → 32

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(/.f64 (neg.f64 x) (/.f64 y z))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`pow1_binary64`
743×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	156	7
2	2426	7

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

642×	`log-div_binary64`
561×	`log-prod_binary64`
513×	`associate-*l/_binary64`
503×	`fma-def_binary64`
458×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	973
1	324	860
2	1116	761
3	6117	761

Stop Event

1×	node limit

Counts

83 → 64

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

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

eval66.0ms (1.3%)

Compiler: Compiled 4246 to 1682 computations (60.4% saved)

prune59.0ms (1.1%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	359	3	362
Fresh	1	2	3
Picked	0	1	1
Done	1	5	6
Total	361	11	372

Error

Counts

372 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.8b	(/.f64 (*.f64 (neg.f64 x) z) y)
✓	34.9b	(/.f64 (*.f64 y x) y)
✓	12.1b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	40.3b	(/.f64 (neg.f64 z) (/.f64 y x))
✓	41.0b	(/.f64 (neg.f64 x) (/.f64 y z))
▶	62.0b	(/.f64 z (/.f64 y x))
▶	41.0b	(/.f64 x (*.f64 (/.f64 -1 z) y))
✓	41.5b	(*.f64 (/.f64 z y) (neg.f64 x))
✓	40.2b	(*.f64 z (neg.f64 (/.f64 x y)))
✓	4.1b	(*.f64 x (-.f64 1 (/.f64 z y)))
	25.3b	x

Compiler

Compiled 95 to 63 computations (33.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 -1 z) y)
✓	6.3b	(/.f64 x (*.f64 (/.f64 -1 z) y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 (/.f64 -1 z) y)
1.0ms	z	@	0	(*.f64 (/.f64 -1 z) y)
1.0ms	y	@	0	(*.f64 (/.f64 -1 z) y)
0.0ms	z	@	inf	(*.f64 (/.f64 -1 z) y)
0.0ms	y	@	-inf	(*.f64 (/.f64 -1 z) y)

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
857×	`add-log-exp_binary64`
857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
839×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	15
2	2278	15

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

609×	`associate-/l*_binary64`
579×	`associate-/r*_binary64`
464×	`unswap-sqr_binary64`
321×	`associate-/r/_binary64`
260×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	974
1	401	974
2	1569	974

Stop Event

1×	node limit

Counts

121 → 68

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 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	y	@	inf	(/.f64 z (/.f64 y x))
0.0ms	z	@	inf	(/.f64 z (/.f64 y x))
0.0ms	y	@	-inf	(/.f64 z (/.f64 y x))

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

839×	`log-div_binary64`
661×	`log-prod_binary64`
492×	`associate-*l/_binary64`
436×	`fma-def_binary64`
434×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	618
1	295	606
2	1006	606
3	5764	606

Stop Event

1×	node limit

Counts

77 → 50

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`pow1_binary64`
743×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	156	7
2	2426	7

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

813×	`log-div_binary64`
515×	`associate-*l/_binary64`
499×	`fma-def_binary64`
463×	`associate-/l*_binary64`
406×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	973
1	324	860
2	1108	761
3	6175	761

Stop Event

1×	node limit

Counts

83 → 64

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (*.f64 (neg.f64 x) z) y)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`pow1_binary64`
670×	`add-log-exp_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2161	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 (neg.f64 x) 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 (/.f64 0 (/.f64 y z)) (*.f64 (/.f64 x y) z))))) (#(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)))))))

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

658×	`log-div_binary64`
544×	`log-prod_binary64`
496×	`associate-/l*_binary64`
383×	`associate-*l/_binary64`
379×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	893
1	288	803
2	1038	713
3	5236	693

Stop Event

1×	node limit

Counts

78 → 53

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

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

eval40.0ms (0.8%)

Compiler: Compiled 2369 to 797 computations (66.4% saved)

prune31.0ms (0.6%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	235	11	246

Error

Counts

246 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.8b	(/.f64 (*.f64 (neg.f64 x) z) y)
✓	34.9b	(/.f64 (*.f64 y x) y)
✓	12.1b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.3b	(/.f64 (neg.f64 z) (/.f64 y x))
✓	41.0b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	62.0b	(/.f64 z (/.f64 y x))
✓	41.0b	(/.f64 x (*.f64 (/.f64 -1 z) y))
✓	41.5b	(*.f64 (/.f64 z y) (neg.f64 x))
✓	40.2b	(*.f64 z (neg.f64 (/.f64 x y)))
✓	4.1b	(*.f64 x (-.f64 1 (/.f64 z y)))
	25.3b	x

Compiler

Compiled 95 to 63 computations (33.7% saved)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	10	10
Total	11	11

Error

Counts

11 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.8b	(/.f64 (*.f64 (neg.f64 x) z) y)
✓	34.9b	(/.f64 (*.f64 y x) y)
✓	12.1b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.3b	(/.f64 (neg.f64 z) (/.f64 y x))
✓	41.0b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	62.0b	(/.f64 z (/.f64 y x))
✓	41.0b	(/.f64 x (*.f64 (/.f64 -1 z) y))
✓	41.5b	(*.f64 (/.f64 z y) (neg.f64 x))
✓	40.2b	(*.f64 z (neg.f64 (/.f64 x y)))
✓	4.1b	(*.f64 x (-.f64 1 (/.f64 z y)))
	25.3b	x

Compiler

Compiled 95 to 63 computations (33.7% saved)

regimes105.0ms (2%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
31.0ms	y
22.0ms	x
15.0ms	z

Results

Error	Segments	Branch
0.7b	3	`x`
2.3b	3	`y`
2.4b	2	`z`
0.1b	5	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 116 to 54 computations (53.4% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.2528955836933486e+237	3.8692472928339875e+243
0.0ms	0.0008497967692091821	114773897.35222559
0.0ms	-1.0769145949179992e+53	-2.813096022166998e+52
0.0ms	-inf	-4.10653886331367e+305

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes60.0ms (1.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	y
21.0ms	x
15.0ms	z

Results

Error	Segments	Branch
0.7b	3	`x`
2.3b	3	`y`
2.4b	2	`z`

Compiler

Compiled 90 to 42 computations (53.3% saved)

bsearch17.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	4.368049119014063e-124	6.012353648387165e-124
12.0ms	-1.5804341696574664e-295	-5.699378801621909e-297

Results

15.0ms

160×

body

256

valid

Compiler

Compiled 236 to 151 computations (36% saved)

regimes98.0ms (1.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	y
34.0ms	z
20.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
1.3b	6	`y`
1.6b	3	`z`

Compiler

Compiled 83 to 39 computations (53% saved)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	7.973406087015237e-116	3.92922708434088e-102
24.0ms	-1.5804341696574664e-295	-5.699378801621909e-297

Results

24.0ms	128×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 192 to 131 computations (31.8% saved)

regimes22.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
6.0ms	z
6.0ms	x

Results

Error	Segments	Branch
4.1b	1	`x`
4.1b	1	`y`
4.1b	1	`z`

Compiler

Compiled 69 to 33 computations (52.2% saved)

regimes164.0ms (3.1%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

3 calls:

74.0ms	y
65.0ms	z
22.0ms	x

Results

Error	Segments	Branch
21.1b	3	`x`
15.9b	5	`y`
14.1b	7	`z`

Compiler

Compiled 62 to 30 computations (51.6% saved)

bsearch108.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	3.1509957123491403e+64	4.2815142344713777e+71
14.0ms	-7.864779525290041e-56	-1.2347721901272081e-56
13.0ms	-95803141008388340.0	-140277430464390.58
18.0ms	-7.71492368200423e+61	-3.985479693969964e+50
31.0ms	-2.1968389572520314e+126	-9.385245465296872e+125
13.0ms	-8.444240916932123e+162	-3.1303589277798254e+161

Results

94.0ms	720×	body	256	valid
5.0ms	55×	body	256	infinite

Compiler

Compiled 691 to 506 computations (26.8% saved)

regimes134.0ms (2.6%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	z
31.0ms	y
19.0ms	x

Results

Error	Segments	Branch
21.1b	3	`x`
16.1b	5	`y`
14.4b	7	`z`

Compiler

Compiled 50 to 26 computations (48% saved)

bsearch87.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	3.1509957123491403e+64	4.2815142344713777e+71
10.0ms	-7.864779525290041e-56	-1.2347721901272081e-56
15.0ms	-95803141008388340.0	-140277430464390.58
19.0ms	-7.71492368200423e+61	-3.985479693969964e+50
12.0ms	-2.1968389572520314e+126	-9.385245465296872e+125
13.0ms	-8.444240916932123e+162	-3.1303589277798254e+161

Results

71.0ms	720×	body	256	valid
5.0ms	54×	body	256	infinite

Compiler

Compiled 691 to 506 computations (26.8% saved)

regimes93.0ms (1.8%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	y
30.0ms	z
18.0ms	x

Results

Error	Segments	Branch
21.1b	3	`x`
16.1b	5	`y`
14.4b	7	`z`

Compiler

Compiled 44 to 24 computations (45.5% saved)

bsearch137.0ms (2.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	3.1509957123491403e+64	4.2815142344713777e+71
25.0ms	-7.864779525290041e-56	-1.2347721901272081e-56
13.0ms	-95803141008388340.0	-140277430464390.58
37.0ms	-7.71492368200423e+61	-3.985479693969964e+50
9.0ms	-2.1968389572520314e+126	-9.385245465296872e+125
33.0ms	-8.444240916932123e+162	-3.1303589277798254e+161

Results

123.0ms	720×	body	256	valid
6.0ms	61×	body	256	infinite

Compiler

Compiled 691 to 506 computations (26.8% saved)

regimes112.0ms (2.1%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	z
38.0ms	y
30.0ms	x

Results

Error	Segments	Branch
21.1b	3	`x`
16.1b	5	`y`
14.6b	7	`z`

Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch134.0ms (2.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
35.0ms	3.1509957123491403e+64	4.2815142344713777e+71
12.0ms	-7.864779525290041e-56	-1.2347721901272081e-56
16.0ms	-95803141008388340.0	-140277430464390.58
37.0ms	-7.71492368200423e+61	-3.985479693969964e+50
21.0ms	-9.385245465296872e+125	-5.111111033737127e+104
13.0ms	-8.444240916932123e+162	-3.1303589277798254e+161

Results

118.0ms	816×	body	256	valid
7.0ms	73×	body	256	infinite

Compiler

Compiled 781 to 572 computations (26.8% saved)

regimes86.0ms (1.7%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	x
30.0ms	z
15.0ms	y

Results

Error	Segments	Branch
21.1b	3	`x`
17.3b	3	`y`
14.6b	7	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch102.0ms (2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	3.1509957123491403e+64	4.2815142344713777e+71
12.0ms	-7.864779525290041e-56	-1.2347721901272081e-56
17.0ms	-95803141008388340.0	-140277430464390.58
19.0ms	-7.71492368200423e+61	-3.985479693969964e+50
24.0ms	-9.385245465296872e+125	-5.111111033737127e+104
13.0ms	-8.444240916932123e+162	-3.1303589277798254e+161

Results

86.0ms	816×	body	256	valid
7.0ms	72×	body	256	infinite

Compiler

Compiled 781 to 572 computations (26.8% saved)

regimes13.0ms (0.2%)

Accuracy

Total -37.0b remaining (-146.2%)

Threshold costs -37.0b (-146.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

5.0ms	x
4.0ms	y
4.0ms	z

Results

Error	Segments	Branch
25.3b	1	`x`
25.3b	1	`y`
25.3b	1	`z`

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
13×	`+-commutative_binary64`
13×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	580
1	170	580
2	201	580
3	220	580
4	228	580
5	229	580

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (.f64 z (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -99999999999999999322094867436162797646170844194406400) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 1152921504606847/1152921504606846976) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840) (/.f64 (.f64 x (-.f64 y z)) y) (*.f64 x (-.f64 1 (/.f64 z y)))))))
(if (<=.f64 x -3387141496982181/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 x 1488565707357403/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (-.f64 x (*.f64 z (/.f64 x y))) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 x -8246953210043571/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 x 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (-.f64 x (.f64 z (/.f64 x y))) (*.f64 x (-.f64 1 (/.f64 z y)))))
(*.f64 x (-.f64 1 (/.f64 z y)))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 z -1350000000000000011301522158784385696130374320165209236975717410103500963917287219460303922081009118822117501327332714114711552) x (if (<=.f64 z -849999999999999961007106478584486957397275668643840) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 z -185000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 10000000000000000725314363815292351261583744096465219555182101554790400) x (/.f64 (.f64 z (neg.f64 x)) y)))))))
(if (<=.f64 z -719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -1200000000000000060148039240316785035980363238319375905770754296802824765237573809985173799850321566178571966721583632783245312) x (if (<=.f64 z -25999999999999997256817825017964609482768800836853525517434880) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -8300000000000000) x (if (<=.f64 z -4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 2899999999999999860141989175753148217565140911830041633126877233152) x (/.f64 (neg.f64 z) (/.f64 y x))))))))
(if (<=.f64 z -349999999999999988237074234351914253678794941141770973277017917100847733358130021673688988160665055712194522670837282262560064071369220532950568645968055970562048) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -2150000000000000101502456751504017915092869210550649758170781318016208049164543818804212324426203623500077444683454133984821248) x (if (<=.f64 z -499999999999999974693567648537009433481822505506705036541952) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -3800000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 154999999999999995266405941145465465086428390106977958642392760320) x (*.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -41500000000000001203330459492057744082248139190525926520983767838658271400410798223295891202036468603894654452141118168498176) x (if (<=.f64 z -99999999999999997168788049560464200849936328366177157906432) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -170000000000000) x (if (<=.f64 z -5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 13000000000000000224551388178994654284583698348697355600452768497664) x (.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -385000000000000022024365421326218670520563408939410694989018906658609396316500971645221361758106506630842329249031087478877699038260319015262953118593656998068224) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -619999999999999998510029793033184841855723397652870771705425041819423921564978329912374648333429059828969405204025528228511744) x (if (<=.f64 z -64999999999999995996539947956831285823493940991124086559080448) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -165000000000000) x (if (<=.f64 z -7067388259113537/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z 199999999999999998418077252567267701645512243388460910731136598016) x (.f64 z (neg.f64 (/.f64 x y)))))))))
x

Outputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (.f64 z (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -99999999999999999322094867436162797646170844194406400) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 1152921504606847/1152921504606846976) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840) (/.f64 (.f64 x (-.f64 y z)) y) (*.f64 x (-.f64 1 (/.f64 z y)))))))
(if (<=.f64 x -3387141496982181/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 x 1488565707357403/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (-.f64 x (*.f64 z (/.f64 x y))) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 x -8246953210043571/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 x 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (-.f64 x (.f64 z (/.f64 x y))) (*.f64 x (-.f64 1 (/.f64 z y)))))
(*.f64 x (-.f64 1 (/.f64 z y)))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 z -1350000000000000011301522158784385696130374320165209236975717410103500963917287219460303922081009118822117501327332714114711552) x (if (<=.f64 z -849999999999999961007106478584486957397275668643840) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 z -185000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 10000000000000000725314363815292351261583744096465219555182101554790400) x (/.f64 (.f64 z (neg.f64 x)) y)))))))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 z -1350000000000000011301522158784385696130374320165209236975717410103500963917287219460303922081009118822117501327332714114711552) x (if (<=.f64 z -849999999999999961007106478584486957397275668643840) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 z -185000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 (neg.f64 z) y) x) (if (<=.f64 z 10000000000000000725314363815292351261583744096465219555182101554790400) x (/.f64 (.f64 z (neg.f64 x)) y)))))))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -1350000000000000011301522158784385696130374320165209236975717410103500963917287219460303922081009118822117501327332714114711552) x (if (<=.f64 z -849999999999999961007106478584486957397275668643840) (/.f64 (.f64 x (neg.f64 z)) y) (if (<=.f64 z -185000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 z 10000000000000000725314363815292351261583744096465219555182101554790400) x (/.f64 (.f64 x (neg.f64 z)) y)))))))
(if (<=.f64 z -719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -1200000000000000060148039240316785035980363238319375905770754296802824765237573809985173799850321566178571966721583632783245312) x (if (<=.f64 z -25999999999999997256817825017964609482768800836853525517434880) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -8300000000000000) x (if (<=.f64 z -4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 2899999999999999860141989175753148217565140911830041633126877233152) x (/.f64 (neg.f64 z) (/.f64 y x))))))))
(if (<=.f64 z -719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -1200000000000000060148039240316785035980363238319375905770754296802824765237573809985173799850321566178571966721583632783245312) x (if (<=.f64 z -25999999999999997256817825017964609482768800836853525517434880) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -8300000000000000) x (if (<=.f64 z -4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 (/.f64 (neg.f64 z) y) x) (if (<=.f64 z 2899999999999999860141989175753148217565140911830041633126877233152) x (/.f64 (neg.f64 z) (/.f64 y x))))))))
(if (<=.f64 z -719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -1200000000000000060148039240316785035980363238319375905770754296802824765237573809985173799850321566178571966721583632783245312) x (if (<=.f64 z -25999999999999997256817825017964609482768800836853525517434880) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -8300000000000000) x (if (<=.f64 z -4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 z 2899999999999999860141989175753148217565140911830041633126877233152) x (/.f64 (neg.f64 z) (/.f64 y x))))))))
(if (<=.f64 z -349999999999999988237074234351914253678794941141770973277017917100847733358130021673688988160665055712194522670837282262560064071369220532950568645968055970562048) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -2150000000000000101502456751504017915092869210550649758170781318016208049164543818804212324426203623500077444683454133984821248) x (if (<=.f64 z -499999999999999974693567648537009433481822505506705036541952) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -3800000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 154999999999999995266405941145465465086428390106977958642392760320) x (*.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -349999999999999988237074234351914253678794941141770973277017917100847733358130021673688988160665055712194522670837282262560064071369220532950568645968055970562048) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -2150000000000000101502456751504017915092869210550649758170781318016208049164543818804212324426203623500077444683454133984821248) x (if (<=.f64 z -499999999999999974693567648537009433481822505506705036541952) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -3800000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 (neg.f64 z) y) x) (if (<=.f64 z 154999999999999995266405941145465465086428390106977958642392760320) x (*.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -349999999999999988237074234351914253678794941141770973277017917100847733358130021673688988160665055712194522670837282262560064071369220532950568645968055970562048) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -2150000000000000101502456751504017915092869210550649758170781318016208049164543818804212324426203623500077444683454133984821248) x (if (<=.f64 z -499999999999999974693567648537009433481822505506705036541952) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z -3800000000000000) x (if (<=.f64 z -8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 z 154999999999999995266405941145465465086428390106977958642392760320) x (*.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -41500000000000001203330459492057744082248139190525926520983767838658271400410798223295891202036468603894654452141118168498176) x (if (<=.f64 z -99999999999999997168788049560464200849936328366177157906432) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -170000000000000) x (if (<=.f64 z -5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 (/.f64 z y) (neg.f64 x)) (if (<=.f64 z 13000000000000000224551388178994654284583698348697355600452768497664) x (.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -41500000000000001203330459492057744082248139190525926520983767838658271400410798223295891202036468603894654452141118168498176) x (if (<=.f64 z -99999999999999997168788049560464200849936328366177157906432) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -170000000000000) x (if (<=.f64 z -5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 (/.f64 (neg.f64 z) y) x) (if (<=.f64 z 13000000000000000224551388178994654284583698348697355600452768497664) x (.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -41500000000000001203330459492057744082248139190525926520983767838658271400410798223295891202036468603894654452141118168498176) x (if (<=.f64 z -99999999999999997168788049560464200849936328366177157906432) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -170000000000000) x (if (<=.f64 z -5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 z 13000000000000000224551388178994654284583698348697355600452768497664) x (.f64 z (neg.f64 (/.f64 x y)))))))))
(if (<=.f64 z -385000000000000022024365421326218670520563408939410694989018906658609396316500971645221361758106506630842329249031087478877699038260319015262953118593656998068224) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -619999999999999998510029793033184841855723397652870771705425041819423921564978329912374648333429059828969405204025528228511744) x (if (<=.f64 z -64999999999999995996539947956831285823493940991124086559080448) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -165000000000000) x (if (<=.f64 z -7067388259113537/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z 199999999999999998418077252567267701645512243388460910731136598016) x (.f64 z (neg.f64 (/.f64 x y)))))))))
x

Compiler

Compiled 426 to 211 computations (50.5% saved)

soundness246.0ms (4.7%)

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 126 to 75 computations (40.5% saved)

end151.0ms (2.9%)

Compiler: Compiled 399 to 153 computations (61.7% saved)