Details

analyze305.0ms (4.8%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.5s (24.4%)

Results

1.4s	8256×	body	256	valid
119.0ms	944×	body	256	invalid

preprocess76.0ms (1.2%)

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)

simplify49.0ms (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
▶	2.8b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	3.1b	(*.f64 x (-.f64 1 (/.f64 z y)))
▶	2.6b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	11.5b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.9b	(/.f64 (*.f64 x (-.f64 y z)) y)
	0.0b	(*.f64 x (-.f64 y z))
✓	0.0b	(*.f64 x (-.f64 y z))
✓	10.9b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series11.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite104.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

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

Outputs

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

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

simplify54.0ms (0.9%)

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(/.f64 x (/.f64 y (-.f64 y z)))
	0.0b	(/.f64 y (-.f64 y z))
✓	0.0b	(/.f64 y (-.f64 y z))
✓	2.5b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite66.0ms (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)))) 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Outputs

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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))))))

simplify98.0ms (1.6%)

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))
(+.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))
(-.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))
(-.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))
(-.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 (.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
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(+.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)))
(*.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))))
(*.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)))
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(/.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))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(*.f64 x (-.f64 1 (/.f64 z y)))
	0.0b	(-.f64 1 (/.f64 z y))
✓	0.0b	(-.f64 1 (/.f64 z y))
✓	3.0b	(*.f64 x (-.f64 1 (/.f64 z y)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite67.0ms (1.1%)

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	17
1	167	17
2	2200	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

575×	`div-sub_binary64`
356×	`log-prod_binary64`
320×	`unswap-sqr_binary64`
287×	`fma-def_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1124
1	285	1094
2	1091	1080
3	4817	1080

Stop Event

1×	node limit

Counts

107 → 70

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.3b	(*.f64 z (/.f64 x y))
	0.0b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	0.0b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	4.3b	(*.f64 z (/.f64 x y))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite84.0ms (1.3%)

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))))))

simplify64.0ms (1%)

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)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.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)
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(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
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(.f64 (+.f64 1 (.f64 -1 (/.f64 z y))) x)
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(-.f64 x (*.f64 z (/.f64 x y)))
(.f64 (+.f64 1 (.f64 -1 (/.f64 z y))) x)
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(-.f64 x (*.f64 z (/.f64 x y)))
(.f64 (+.f64 1 (.f64 -1 (/.f64 z y))) x)
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(.f64 (+.f64 1 (.f64 -1 (/.f64 z y))) x)
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(-.f64 x (*.f64 z (/.f64 x y)))
x
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(.f64 -1 (/.f64 (.f64 z x) y))
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(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (*.f64 z x) (neg.f64 y))
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(.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))
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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 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))
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(-.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)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
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(-.f64 x (*.f64 z (/.f64 x y)))
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(-.f64 x (*.f64 z (/.f64 x y)))
x
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(-.f64 x (*.f64 z (/.f64 x y)))
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(-.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 (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)
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(pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)
(/.f64 (*.f64 z x) y)
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(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)))

eval85.0ms (1.4%)

Compiler: Compiled 4984 to 1929 computations (61.3% saved)

prune72.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	377	8	385
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	379	10	389

Error

Counts

389 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	38.6b	(*.f64 z (neg.f64 (/.f64 x y)))
	4.4b	(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x))))
	25.8b	x
▶	39.6b	(/.f64 (neg.f64 x) (/.f64 y z))
▶	40.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	2.8b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	33.6b	(/.f64 (*.f64 y x) y)
▶	2.7b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))
▶	38.9b	(/.f64 (neg.f64 z) (/.f64 y x))
✓	11.5b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 160 to 105 computations (34.4% saved)

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.5b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))
	0.2b	(*.f64 (/.f64 1 (-.f64 y z)) y)
	0.0b	(/.f64 1 (-.f64 y z))
✓	0.0b	(/.f64 1 (-.f64 y z))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 y z)) y)
✓	2.5b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))

Compiler

Compiled 31 to 14 computations (54.8% saved)

series14.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite98.0ms (1.6%)

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))))))

simplify80.0ms (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))
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1
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(*.f64 -1 (/.f64 y z))
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(+.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))
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(+.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))
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(/.f64 1 y)
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(/.f64 1 y)
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(/.f64 -1 z)
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(+.f64 0 (*.f64 x (/.f64 (-.f64 y z) y)))
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(+.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))
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(.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))
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(.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))
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(+.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)
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(pow.f64 (neg.f64 (neg.f64 (-.f64 y z))) -1)
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(log.f64 (exp.f64 (/.f64 1 (-.f64 y z))))
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(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))
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(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))
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(*.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))
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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 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
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(*.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))
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(*.f64 (-.f64 y z) (/.f64 x y))
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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 (-.f64 y z) (/.f64 x y))
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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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(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (-.f64 y z))))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 y z))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) (-.f64 y z)) y))
(.f64 (/.f64 (-.f64 y z) y) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (-.f64 y z) (/.f64 (cbrt.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (-.f64 y z))))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 y z))) (/.f64 (sqrt.f64 x) y))
(*.f64 (-.f64 y z) (/.f64 x y))
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(.f64 (/.f64 1 y) (.f64 x (-.f64 y z)))
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(.f64 (/.f64 (cbrt.f64 (.f64 x x)) y) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 y z))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) (-.f64 y z)) y))
(.f64 (/.f64 (-.f64 y z) y) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
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(.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)))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) (-.f64 y z)) y))
(.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))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (-.f64 y z))))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 2))
(*.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))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y)))))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 3))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 y z)) 3)))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (-.f64 y z) y))) 1))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (/.f64 (-.f64 y z) y)) 3)) 1/3))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 (-.f64 y z) y)))) 3))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 (-.f64 y z) y)))) 2))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (-.f64 y z)))) -1))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 0 (/.f64 y (-.f64 y z)))
(/.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 3 (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 2 (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 y z))
(/.f64 1 (/.f64 (-.f64 y z) y))
(/.f64 y (-.f64 y z))
(/.f64 y (-.f64 y z))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (-.f64 y z) (cbrt.f64 y)))
(/.f64 y (-.f64 y z))
(/.f64 (sqrt.f64 y) (/.f64 (-.f64 y z) (sqrt.f64 y)))
(/.f64 y (-.f64 y z))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 y z)))
(/.f64 y (-.f64 y z))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
(/.f64 y (-.f64 y z))
(/.f64 (/.f64 y 1) (-.f64 y z))
(/.f64 y (-.f64 y z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 y z)) 2)) (cbrt.f64 (-.f64 y z)))
(/.f64 y (-.f64 y z))
(/.f64 (*.f64 -1 y) (neg.f64 (-.f64 y z)))
(/.f64 y (-.f64 y z))
(/.f64 (*.f64 y -1) (neg.f64 (-.f64 y z)))
(/.f64 y (-.f64 y z))
(pow.f64 (/.f64 y (-.f64 y z)) 1)
(/.f64 y (-.f64 y z))
(pow.f64 (pow.f64 (/.f64 y (-.f64 y z)) 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 (-.f64 y z) y) -1)
(/.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))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 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))
(+.f64 0 (/.f64 1 (-.f64 y z)))
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(+.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 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))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 y z)))) 1)
(/.f64 1 (-.f64 y z))
(*.f64 1 (/.f64 1 (-.f64 y z)))
(/.f64 1 (-.f64 y z))
(*.f64 (/.f64 1 (-.f64 y z)) 1)
(/.f64 1 (-.f64 y z))
(*.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)) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y z) -2)) (/.f64 1 (cbrt.f64 (-.f64 y z))))
(*.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)) (cbrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (-.f64 y z) -1/2) (pow.f64 (-.f64 y z) -1/2))
(/.f64 1 (-.f64 y z))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 y z))))
(/.f64 1 (-.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) -2) (/.f64 1 (cbrt.f64 (-.f64 y z))))
(/.f64 1 (-.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 (fma.f64 y y (*.f64 z (+.f64 y z))) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))
(/.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))
(.f64 (/.f64 1 (.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(/.f64 1 (-.f64 y z))
(pow.f64 (-.f64 y z) -1)
(/.f64 1 (-.f64 y z))
(pow.f64 (/.f64 1 (-.f64 y z)) 1)
(/.f64 1 (-.f64 y z))
(pow.f64 (pow.f64 (-.f64 y z) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 y z) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 y z) 3) -1/6) (pow.f64 (pow.f64 (-.f64 y z) 3) -1/6))
(pow.f64 (pow.f64 (-.f64 y z) -2) 1/2)
(/.f64 1 (-.f64 y z))
(pow.f64 (pow.f64 (-.f64 y z) -3) 1/3)
(/.f64 1 (-.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 y z)) -3)
(/.f64 1 (-.f64 y z))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 y z))) 3)
(/.f64 1 (-.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 y z)) -2)
(pow.f64 (pow.f64 (-.f64 y z) -1/2) 2)
(/.f64 1 (-.f64 y z))
(pow.f64 (neg.f64 (neg.f64 (-.f64 y z))) -1)
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(sqrt.f64 (pow.f64 (-.f64 y z) -2))
(/.f64 1 (-.f64 y z))
(log.f64 (exp.f64 (/.f64 1 (-.f64 y z))))
(/.f64 1 (-.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 y z)))))
(/.f64 1 (-.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 y z) -3))
(/.f64 1 (-.f64 y z))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 y z))))
(/.f64 1 (-.f64 y z))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 y z))))
(/.f64 1 (-.f64 y z))
(exp.f64 (neg.f64 (log.f64 (-.f64 y z))))
(/.f64 1 (-.f64 y z))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) -1))
(/.f64 1 (-.f64 y z))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y z))) 1))
(/.f64 1 (-.f64 y z))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) -3)) 1/3))
(/.f64 1 (-.f64 y z))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 y z)))) 3))
(/.f64 1 (-.f64 y z))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 y z))) 2))
(/.f64 1 (-.f64 y z))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	14.4b	(/.f64 (*.f64 y x) y)
✓	14.4b	(/.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	x	@	inf	(/.f64 (*.f64 y x) y)
0.0ms	y	@	-inf	(/.f64 (*.f64 y x) y)

rewrite49.0ms (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)))))))

simplify48.0ms (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 2 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

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

simplify58.0ms (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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.6b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	5.6b	(/.f64 (*.f64 x (neg.f64 z)) y)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

658×	`log-div_binary64`
544×	`log-prod_binary64`
495×	`associate-/l*_binary64`
380×	`associate-*l/_binary64`
359×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	868
1	282	766
2	1031	664
3	5180	664

Stop Event

1×	node limit

Counts

77 → 52

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 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 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 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x z) (cbrt.f64 y)))
(+.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) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) z)))
(.f64 (cbrt.f64 (.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (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 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) x) (sqrt.f64 y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x z) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) x) (sqrt.f64 y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 y)) x) (sqrt.f64 y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	4.9b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	4.9b	(/.f64 (neg.f64 x) (/.f64 y z))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.9%)

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))))))))

simplify56.0ms (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)))
(*.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)))
(*.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)))
(*.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)))
(*.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 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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(+.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 (/.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.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))))
(*.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))) (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)))
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2))
(/.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))))
(/.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 -1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y z))) (/.f64 -1 (sqrt.f64 (/.f64 y z))))
(/.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))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 z (/.f64 x y))
(.f64 (.f64 (/.f64 x y) 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 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 z (/.f64 x y))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 z (/.f64 x y))
(pow.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))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.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))
(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))

eval89.0ms (1.4%)

Compiler: Compiled 4962 to 1910 computations (61.5% saved)

prune69.0ms (1.1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	414	5	419
Fresh	3	0	3
Picked	0	1	1
Done	0	6	6
Total	417	12	429

Error

Counts

429 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.6b	(/.f64 (*.f64 y x) y)
▶	39.6b	(/.f64 x (*.f64 (/.f64 -1 z) y))
✓	38.9b	(/.f64 (neg.f64 z) (/.f64 y x))
	25.8b	x
✓	39.6b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	40.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	2.8b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	2.7b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))
▶	38.9b	(*.f64 z (/.f64 1 (/.f64 (neg.f64 y) x)))
▶	38.6b	(*.f64 (/.f64 x y) (neg.f64 z))
✓	11.5b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	62.1b	(*.f64 (/.f64 x y) z)

Compiler

Compiled 109 to 72 computations (33.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	4.3b	(*.f64 (/.f64 x y) z)
✓	4.3b	(*.f64 (/.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

756×	`log-prod_binary64`
464×	`associate-l_binary64`
394×	`associate-r_binary64`
314×	`log-div_binary64`
300×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	413
1	154	413
2	576	413
3	4122	413

Stop Event

1×	node limit

Counts

59 → 26

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	4.3b	(*.f64 (/.f64 x y) (neg.f64 z))
✓	4.3b	(*.f64 (/.f64 x y) (neg.f64 z))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (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 x y) (neg.f64 z))

Outputs

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

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

743×	`log-prod_binary64`
489×	`associate-l_binary64`
416×	`associate-r_binary64`
373×	`fma-def_binary64`
302×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	637
1	165	571
2	641	505
3	4414	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 x y) z))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) z)) 1)
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x z)))
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x z) 1) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (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 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)
(neg.f64 (*.f64 (/.f64 x y) z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x 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 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(-.f64 0 (*.f64 (/.f64 x y) z))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) 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 x (/.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 z (/.f64 y x))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
(/.f64 1 (/.f64 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 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 z) (neg.f64 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 (*.f64 x z) 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 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 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 (neg.f64 x)) (neg.f64 y))
(+.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 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))
(neg.f64 (*.f64 (/.f64 x y) z))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) 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 (pow.f64 (exp.f64 z) (/.f64 x y)))
(+.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 y) 3) (pow.f64 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 z 3) (pow.f64 (/.f64 x 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))

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.3b	(*.f64 z (/.f64 1 (/.f64 (neg.f64 y) x)))
	1.0b	(/.f64 1 (/.f64 (neg.f64 y) x))
✓	1.0b	(/.f64 1 (/.f64 (neg.f64 y) x))
✓	4.3b	(*.f64 z (/.f64 1 (/.f64 (neg.f64 y) x)))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
766×	`add-log-exp_binary64`
766×	`log1p-expm1-u_binary64`
766×	`expm1-log1p-u_binary64`
748×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	190	11
2	2640	11

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

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

simplify118.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

476×	`associate-*l/_binary64`
461×	`associate-/l*_binary64`
451×	`times-frac_binary64`
447×	`unswap-sqr_binary64`
390×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1182
1	383	1017
2	1407	870
3	7820	870

Stop Event

1×	node limit

Counts

123 → 81

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

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

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.9b	(/.f64 x (*.f64 (/.f64 -1 z) y))
	0.3b	(*.f64 (/.f64 -1 z) y)
✓	0.3b	(*.f64 (/.f64 -1 z) y)
✓	4.9b	(/.f64 x (*.f64 (/.f64 -1 z) y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series16.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	(/.f64 x (*.f64 (/.f64 -1 z) y))
1.0ms	y	@	0	(*.f64 (/.f64 -1 z) y)
1.0ms	z	@	0	(*.f64 (/.f64 -1 z) y)
1.0ms	y	@	inf	(*.f64 (/.f64 -1 z) y)
1.0ms	y	@	-inf	(*.f64 (/.f64 -1 z) y)

rewrite96.0ms (1.5%)

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))))))))

simplify72.0ms (1.1%)

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

eval68.0ms (1.1%)

Compiler: Compiled 1871 to 694 computations (62.9% saved)

prune93.0ms (1.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	207	12	219

Error

Counts

219 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.6b	(/.f64 (*.f64 y x) y)
✓	39.6b	(/.f64 x (*.f64 (/.f64 -1 z) y))
✓	38.9b	(/.f64 (neg.f64 z) (/.f64 y x))
	25.8b	x
✓	39.6b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	40.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	2.8b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	62.1b	(/.f64 z (/.f64 y x))
✓	2.7b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))
✓	38.9b	(*.f64 z (/.f64 1 (/.f64 (neg.f64 y) x)))
✓	38.6b	(*.f64 (/.f64 x y) (neg.f64 z))
✓	11.5b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 109 to 72 computations (33.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (1.5%)

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))))))))

simplify88.0ms (1.4%)

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))

eval17.0ms (0.3%)

Compiler: Compiled 508 to 183 computations (64% saved)

prune47.0ms (0.7%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	50	12	62

Error

Counts

62 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.6b	(/.f64 (*.f64 y x) y)
✓	39.6b	(/.f64 x (*.f64 (/.f64 -1 z) y))
✓	38.9b	(/.f64 (neg.f64 z) (/.f64 y x))
	25.8b	x
✓	39.6b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	40.5b	(/.f64 (*.f64 x (neg.f64 z)) y)
✓	2.8b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	62.1b	(/.f64 z (/.f64 y x))
✓	2.7b	(/.f64 x (*.f64 (/.f64 1 (-.f64 y z)) y))
✓	38.9b	(*.f64 z (/.f64 1 (/.f64 (neg.f64 y) x)))
✓	38.6b	(*.f64 (/.f64 x y) (neg.f64 z))
✓	11.5b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 109 to 72 computations (33.9% saved)

regimes255.0ms (4%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

73.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
62.0ms	z
60.0ms	y
52.0ms	x

Results

Error	Segments	Branch
0.4b	3	`x`
1.4b	2	`y`
0.9b	2	`z`
0.8b	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 133 to 63 computations (52.6% saved)

bsearch21.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	4.0602276897056284e+70	2.0599296707640364e+72
13.0ms	-1.0979238192606796e-279	-3.952820105049194e-281

Results

18.0ms	176×	body	256	valid
0.0ms	5×	body	256	invalid

Compiler

Compiled 258 to 165 computations (36% saved)

regimes108.0ms (1.7%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	y
29.0ms	z
16.0ms	x

Results

Error	Segments	Branch
1.6b	2	`x`
1.6b	2	`y`
0.3b	4	`z`

Compiler

Compiled 83 to 38 computations (54.2% saved)

bsearch48.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
33.0ms	6.402273939363201e+265	1.421886480031998e+275
4.0ms	2.2242028231938767e-146	1.3129934758372446e-135
10.0ms	-4.0353636271873373e+93	-4.1280842713608085e+88

Results

26.0ms	256×	body	256	valid
17.0ms	84×	body	256	invalid

Compiler

Compiled 359 to 242 computations (32.6% saved)

regimes31.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
9.0ms	x
8.0ms	z

Results

Error	Segments	Branch
2.8b	1	`x`
2.8b	1	`y`
2.8b	1	`z`

Compiler

Compiled 76 to 34 computations (55.3% saved)

regimes135.0ms (2.1%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	x
34.0ms	z
33.0ms	y

Results

Error	Segments	Branch
17.7b	11	`x`
16.8b	5	`y`
12.2b	5	`z`

Compiler

Compiled 69 to 32 computations (53.6% saved)

bsearch108.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	4.408479112032076e+77	2.2940971103841918e+85
34.0ms	-7.2269553177989475e-140	-8.626700960012998e-144
18.0ms	-2.087168505844429e-93	-1.8782788579968126e-104
38.0ms	-4.0353636271873373e+93	-4.1280842713608085e+88

Results

98.0ms	576×	body	256	valid
2.0ms	24×	body	256	invalid

Compiler

Compiled 574 to 425 computations (26% saved)

regimes120.0ms (1.9%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	x
32.0ms	y
28.0ms	z

Results

Error	Segments	Branch
17.7b	11	`x`
16.8b	5	`y`
12.2b	5	`z`

Compiler

Compiled 62 to 28 computations (54.8% saved)

bsearch69.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	4.408479112032076e+77	2.2940971103841918e+85
15.0ms	-7.2269553177989475e-140	-8.626700960012998e-144
19.0ms	-2.087168505844429e-93	-1.8782788579968126e-104
18.0ms	-4.0353636271873373e+93	-4.1280842713608085e+88

Results

60.0ms	576×	body	256	valid
2.0ms	19×	body	256	invalid

Compiler

Compiled 556 to 407 computations (26.8% saved)

regimes87.0ms (1.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	x
23.0ms	y
16.0ms	z

Results

Error	Segments	Branch
17.7b	11	`x`
16.9b	5	`y`
13.3b	3	`z`

Compiler

Compiled 44 to 22 computations (50% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.408479112032076e+77	2.2940971103841918e+85
18.0ms	-4.0353636271873373e+93	-4.1280842713608085e+88

Results

30.0ms	288×	body	256	valid
3.0ms	29×	body	256	invalid

Compiler

Compiled 286 to 209 computations (26.9% saved)

regimes16.0ms (0.3%)

Accuracy

Total -36.4b remaining (-140.8%)

Threshold costs -36.4b (-140.8%)

Counts

5 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

6.0ms	x
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
25.8b	1	`x`
25.8b	1	`y`
25.8b	1	`z`

Compiler

Compiled 32 to 18 computations (43.8% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`+-commutative_binary64`
9×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	248
1	87	248
2	105	248
3	116	248
4	121	248
5	122	248

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1047416994443821/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 x 50000000000000002094076278210572897949571693332016914157171385590349824) (-.f64 x (*.f64 z (/.f64 x y))) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 z -999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (-.f64 x (.f64 z (/.f64 x y))) (if (<=.f64 z 8997827589086393/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 z 21000000000000001616215368628575857205544539328470820804512347982557394076568172306260100463111449397276776430852945637778664152985522628281897940128296131762978621488229382670683872883936666316420957209801089440127341987545080282170719047838259075101441199049170955144265728) (-.f64 x (*.f64 z (/.f64 x y))) (/.f64 (neg.f64 x) (/.f64 y z)))))
(-.f64 x (*.f64 z (/.f64 x y)))
(if (<=.f64 z -5399999999999999886861135950995018525054628928676748723865624465493338671231525975343759360) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z -2178773334635829/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 x (.f64 (/.f64 -1 z) y)) (if (<=.f64 z 1099999999999999934472526218943798355712659110699188700770017126645192814135083008) x (*.f64 (/.f64 x y) (neg.f64 z))))))
(if (<=.f64 z -179999999999999996228704531699833950835154297622558290795520815516444622374384199178125312) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z -766605432557051/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z 369999999999999996149245561850064422016462846232801781704522239057320435953696768) x (.f64 (/.f64 x y) (neg.f64 z))))))
(if (<=.f64 z -4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z 5200000000000000214114542135320615509739340782436715357270955536690672197356455198720) x (.f64 (/.f64 x y) (neg.f64 z))))
x

Outputs
(if (<=.f64 x -1047416994443821/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 x 50000000000000002094076278210572897949571693332016914157171385590349824) (-.f64 x (*.f64 z (/.f64 x y))) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 z -999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (-.f64 x (.f64 z (/.f64 x y))) (if (<=.f64 z 8997827589086393/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 z 21000000000000001616215368628575857205544539328470820804512347982557394076568172306260100463111449397276776430852945637778664152985522628281897940128296131762978621488229382670683872883936666316420957209801089440127341987545080282170719047838259075101441199049170955144265728) (-.f64 x (*.f64 z (/.f64 x y))) (/.f64 (neg.f64 x) (/.f64 y z)))))
(-.f64 x (*.f64 z (/.f64 x y)))
(if (<=.f64 z -5399999999999999886861135950995018525054628928676748723865624465493338671231525975343759360) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z -2178773334635829/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 x (.f64 (/.f64 -1 z) y)) (if (<=.f64 z 1099999999999999934472526218943798355712659110699188700770017126645192814135083008) x (*.f64 (/.f64 x y) (neg.f64 z))))))
(if (<=.f64 z -5399999999999999886861135950995018525054628928676748723865624465493338671231525975343759360) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z -2178773334635829/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 x (.f64 y (/.f64 -1 z))) (if (<=.f64 z 1099999999999999934472526218943798355712659110699188700770017126645192814135083008) x (*.f64 (/.f64 x y) (neg.f64 z))))))
(if (<=.f64 z -5399999999999999886861135950995018525054628928676748723865624465493338671231525975343759360) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -2178773334635829/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 x (.f64 y (/.f64 -1 z))) (if (<=.f64 z 1099999999999999934472526218943798355712659110699188700770017126645192814135083008) x (*.f64 z (neg.f64 (/.f64 x y)))))))
(if (<=.f64 z -5399999999999999886861135950995018525054628928676748723865624465493338671231525975343759360) (.f64 z (/.f64 (neg.f64 x) y)) (if (<=.f64 z -2178773334635829/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 x (.f64 y (/.f64 -1 z))) (if (<=.f64 z 1099999999999999934472526218943798355712659110699188700770017126645192814135083008) x (*.f64 z (/.f64 (neg.f64 x) y))))))
(if (<=.f64 z -179999999999999996228704531699833950835154297622558290795520815516444622374384199178125312) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z -766605432557051/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z 369999999999999996149245561850064422016462846232801781704522239057320435953696768) x (.f64 (/.f64 x y) (neg.f64 z))))))
(if (<=.f64 z -179999999999999996228704531699833950835154297622558290795520815516444622374384199178125312) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z -766605432557051/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z 369999999999999996149245561850064422016462846232801781704522239057320435953696768) x (.f64 z (neg.f64 (/.f64 x y)))))))
(if (<=.f64 z -179999999999999996228704531699833950835154297622558290795520815516444622374384199178125312) (.f64 z (/.f64 (neg.f64 x) y)) (if (<=.f64 z -766605432557051/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) x (if (<=.f64 z -965362170955867/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 (neg.f64 x) (/.f64 y z)) (if (<=.f64 z 369999999999999996149245561850064422016462846232801781704522239057320435953696768) x (.f64 z (/.f64 (neg.f64 x) y))))))
(if (<=.f64 z -4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z 5200000000000000214114542135320615509739340782436715357270955536690672197356455198720) x (.f64 (/.f64 x y) (neg.f64 z))))
(if (<=.f64 z -4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592) (.f64 z (neg.f64 (/.f64 x y))) (if (<=.f64 z 5200000000000000214114542135320615509739340782436715357270955536690672197356455198720) x (.f64 z (neg.f64 (/.f64 x y)))))
(if (<=.f64 z -4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592) (.f64 z (/.f64 (neg.f64 x) y)) (if (<=.f64 z 5200000000000000214114542135320615509739340782436715357270955536690672197356455198720) x (.f64 z (/.f64 (neg.f64 x) y))))
x

Compiler

Compiled 191 to 100 computations (47.6% saved)

soundness505.0ms (8%)

Algorithm

4×	egg-herbie

Rules

939×	`times-frac_binary64`
816×	`fma-def_binary64`
816×	`fma-def_binary64`
816×	`fma-def_binary64`
681×	`fma-neg_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
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	153	1279
1	395	1254
2	1706	1249

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 265 to 161 computations (39.2% saved)

end64.0ms (1%)

Compiler: Compiled 173 to 67 computations (61.3% saved)