Details

analyze279.0ms (2.7%)

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)

sample1.3s (13.1%)

Results

1.2s	8256×	body	256	valid
117.0ms	982×	body	256	invalid

preprocess119.0ms (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)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.8b	(-.f64 x (*.f64 z (/.f64 x y)))
▶	12.1b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 20 to 12 computations (40% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z (/.f64 x y)))
✓	5.5b	(*.f64 z (/.f64 x y))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series18.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

Outputs

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

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

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

131 → 67

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	11.4b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite67.0ms (0.7%)

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))))))))

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

134 → 73

Calls

Call 1

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

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

eval23.0ms (0.2%)

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

prune332.0ms (3.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	130	10	140
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	131	11	142

Error

Counts

142 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.1b	(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)
▶	3.4b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	12.1b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	40.0b	(*.f64 (neg.f64 z) (/.f64 x y))
▶	3.4b	(*.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))
▶	35.4b	(/.f64 (*.f64 y x) y)
	40.2b	(/.f64 (*.f64 x (neg.f64 z)) y)
	4.7b	(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x))))
	5.0b	(-.f64 x (/.f64 z (/.f64 y x)))
	40.3b	(*.f64 x (/.f64 (neg.f64 z) y))
	27.2b	x

Compiler

Compiled 196 to 129 computations (34.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	0.2b	(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)
✓	2.8b	(/.f64 (/.f64 y (-.f64 y z)) x)

Compiler

Compiled 31 to 9 computations (71% saved)

series225.0ms (2.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
211.0ms	z	@	inf	(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)
1.0ms	y	@	0	(/.f64 (/.f64 y (-.f64 y z)) x)
1.0ms	z	@	-inf	(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)
1.0ms	y	@	0	(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)
1.0ms	z	@	0	(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
395×	`prod-diff_binary64`
358×	`pow-prod-down_binary64`
279×	`pow2_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	205	27
2	3040	27

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 (-.f64 y z) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 (-.f64 y z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 (-.f64 y z) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 (-.f64 y z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (-.f64 y z) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 y z)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (-.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) 2) (*.f64 (cbrt.f64 (/.f64 y (-.f64 y z))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 (-.f64 y z) x))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) -2)) (cbrt.f64 (/.f64 y (*.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 y z))) (*.f64 (sqrt.f64 (/.f64 y (-.f64 y z))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 (-.f64 y z) x))) (sqrt.f64 (/.f64 y (*.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (-.f64 y z)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) x) (/.f64 (cbrt.f64 y) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 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simplify565.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-def_binary64`
508×	`times-frac_binary64`
483×	`div-sub_binary64`
392×	`associate-/l*_binary64`
267×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1661
1	522	1580
2	2232	1396
3	7633	1378

Stop Event

1×	node limit

Counts

237 → 191

Calls

Call 1

Inputs
(.f64 -1 (/.f64 y (.f64 z x)))
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(.f64 -1 (/.f64 y (.f64 z x)))
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))))
(.f64 -1 (/.f64 y (.f64 z x)))
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(/.f64 y (*.f64 (-.f64 y z) x))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (.f64 y (+.f64 (/.f64 x z) (.f64 -1 (/.f64 x z))))) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) x))
(+.f64 (.f64 -1 (.f64 y (+.f64 (/.f64 x z) (.f64 -1 (/.f64 x z))))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 x z) (.f64 -1 (/.f64 x z))) z)) (.f64 -1 (/.f64 x (pow.f64 z 2))))) (pow.f64 y 2))) x)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (pow.f64 z 2) x)) (pow.f64 y 2))) x))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (pow.f64 z 2) x)) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (pow.f64 z 2) x)) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 z 3) x)) (*.f64 (pow.f64 z 3) x))) (pow.f64 y 3))) x)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (pow.f64 z 2) x)) (pow.f64 y 2))) x))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 (.f64 (pow.f64 z 3) x) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (pow.f64 z 2) x)) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) x) (pow.f64 y 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (*.f64 (pow.f64 z 2) x)) z) (pow.f64 y 3)) x)))))
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x (pow.f64 y 2))) y)))) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) 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)) (+.f64 x (.f64 -1 (/.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 x (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) y)))) (pow.f64 z 2))) (.f64 -1 (/.f64 (+.f64 (.f64 y x) (.f64 -1 (*.f64 y x))) z)))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 -1 (/.f64 (.f64 y x) z)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) x)))
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) y) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (.f64 (pow.f64 y 2) x)))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y x) z)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) x))))
(/.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 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))))))

Outputs
(.f64 -1 (/.f64 y (.f64 z x)))
(neg.f64 (/.f64 y (*.f64 z x)))
(/.f64 (/.f64 (neg.f64 y) z) x)
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(.f64 -1 (+.f64 (/.f64 y (.f64 z x)) (/.f64 (.f64 y y) (.f64 x (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (neg.f64 y) z) x) (/.f64 (/.f64 (.f64 y y) x) (.f64 z z)))
(.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (.f64 x (pow.f64 z 3))) (.f64 -1 (+.f64 (/.f64 y (.f64 z x)) (/.f64 (.f64 y y) (.f64 x (.f64 z z))))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 y) z) x) (/.f64 (/.f64 (.f64 y y) x) (.f64 z z))) (/.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3))))
(-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 (/.f64 y z) 3) x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (.f64 x (pow.f64 z 3))) (fma.f64 -1 (/.f64 y (.f64 z x)) (fma.f64 -1 (/.f64 (pow.f64 y 4) (.f64 x (pow.f64 z 4))) (neg.f64 (/.f64 (.f64 y y) (.f64 x (.f64 z z)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 y) z) x) (/.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) x)) (/.f64 (/.f64 (.f64 y y) x) (.f64 z z))) (/.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3))))
(-.f64 (-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 y 4) (*.f64 x (pow.f64 z 4)))) (/.f64 (pow.f64 (/.f64 y z) 3) x))
(-.f64 (-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 (/.f64 y z) 3) x)) (/.f64 (pow.f64 (/.f64 y z) 4) x))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 z (*.f64 y x)))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 1 x) (/.f64 (.f64 z z) (.f64 x (.f64 y y)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 z (.f64 y x)) (/.f64 z (/.f64 (.f64 x (*.f64 y y)) z))))
(+.f64 (/.f64 z (.f64 y x)) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 1 x) (/.f64 (.f64 z z) (.f64 x (.f64 y y))))) (/.f64 (pow.f64 z 3) (*.f64 x (pow.f64 y 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 z (/.f64 (.f64 x (.f64 y y)) z))) (+.f64 (/.f64 z (.f64 y x)) (/.f64 (pow.f64 z 3) (.f64 x (pow.f64 y 3)))))
(+.f64 (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 1 x)) (+.f64 (/.f64 z (.f64 y x)) (/.f64 (pow.f64 (/.f64 z y) 3) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 (/.f64 z y) 3) x) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 z (.f64 y x)))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 z (*.f64 y x)))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 1 x) (/.f64 (.f64 z z) (.f64 x (.f64 y y)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 z (.f64 y x)) (/.f64 z (/.f64 (.f64 x (*.f64 y y)) z))))
(+.f64 (/.f64 z (.f64 y x)) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 1 x) (/.f64 (.f64 z z) (.f64 x (.f64 y y))))) (/.f64 (pow.f64 z 3) (*.f64 x (pow.f64 y 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 z (/.f64 (.f64 x (.f64 y y)) z))) (+.f64 (/.f64 z (.f64 y x)) (/.f64 (pow.f64 z 3) (.f64 x (pow.f64 y 3)))))
(+.f64 (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 1 x)) (+.f64 (/.f64 z (.f64 y x)) (/.f64 (pow.f64 (/.f64 z y) 3) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 (/.f64 z y) 3) x) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 z (.f64 y x)))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 z (*.f64 y x)))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 1 x) (/.f64 (.f64 z z) (.f64 x (.f64 y y)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 z (.f64 y x)) (/.f64 z (/.f64 (.f64 x (*.f64 y y)) z))))
(+.f64 (/.f64 z (.f64 y x)) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 1 x) (/.f64 (.f64 z z) (.f64 x (.f64 y y))))) (/.f64 (pow.f64 z 3) (*.f64 x (pow.f64 y 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 z (/.f64 (.f64 x (.f64 y y)) z))) (+.f64 (/.f64 z (.f64 y x)) (/.f64 (pow.f64 z 3) (.f64 x (pow.f64 y 3)))))
(+.f64 (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 1 x)) (+.f64 (/.f64 z (.f64 y x)) (/.f64 (pow.f64 (/.f64 z y) 3) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (pow.f64 (/.f64 z y) 3) x) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 z (.f64 y x)))))
(.f64 -1 (/.f64 y (.f64 z x)))
(neg.f64 (/.f64 y (*.f64 z x)))
(/.f64 (/.f64 (neg.f64 y) z) x)
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(.f64 -1 (+.f64 (/.f64 y (.f64 z x)) (/.f64 (.f64 y y) (.f64 x (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (neg.f64 y) z) x) (/.f64 (/.f64 (.f64 y y) x) (.f64 z z)))
(.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (.f64 x (pow.f64 z 3))) (.f64 -1 (+.f64 (/.f64 y (.f64 z x)) (/.f64 (.f64 y y) (.f64 x (.f64 z z))))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 y) z) x) (/.f64 (/.f64 (.f64 y y) x) (.f64 z z))) (/.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3))))
(-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 (/.f64 y z) 3) x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (.f64 x (pow.f64 z 3))) (fma.f64 -1 (/.f64 y (.f64 z x)) (fma.f64 -1 (/.f64 (pow.f64 y 4) (.f64 x (pow.f64 z 4))) (neg.f64 (/.f64 (.f64 y y) (.f64 x (.f64 z z)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 y) z) x) (/.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) x)) (/.f64 (/.f64 (.f64 y y) x) (.f64 z z))) (/.f64 (pow.f64 y 3) (*.f64 x (pow.f64 z 3))))
(-.f64 (-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 y 4) (*.f64 x (pow.f64 z 4)))) (/.f64 (pow.f64 (/.f64 y z) 3) x))
(-.f64 (-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 (/.f64 y z) 3) x)) (/.f64 (pow.f64 (/.f64 y z) 4) x))
(.f64 -1 (/.f64 y (.f64 z x)))
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(+.f64 (+.f64 1 (/.f64 z y)) (+.f64 (*.f64 (/.f64 z y) (/.f64 z 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 (*.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y)) (+.f64 1 (pow.f64 (/.f64 z y) 3)))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.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) (.f64 -1 (+.f64 (/.f64 (.f64 y y) (*.f64 z z)) (/.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 (/.f64 y z) (-.f64 -1 (/.f64 y z))) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (pow.f64 (/.f64 y z) 3))
(-.f64 (*.f64 (/.f64 y z) (-.f64 -1 (/.f64 y z))) (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 y z) 4)))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.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) (.f64 -1 (+.f64 (/.f64 (.f64 y y) (*.f64 z z)) (/.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 (/.f64 y z) (-.f64 -1 (/.f64 y z))) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (pow.f64 (/.f64 y z) 3))
(-.f64 (*.f64 (/.f64 y z) (-.f64 -1 (/.f64 y z))) (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 y z) 4)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	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)

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

64 → 41

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 (neg.f64 z) (/.f64 x y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

60 → 26

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(*.f64 (-.f64 1 (/.f64 z y)) x)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(*.f64 (-.f64 1 (/.f64 z y)) x)
1.0ms	z	@	0	(*.f64 (-.f64 1 (/.f64 z y)) x)
1.0ms	x	@	0	(*.f64 (-.f64 1 (/.f64 z y)) x)
1.0ms	z	@	inf	(*.f64 (-.f64 1 (/.f64 z y)) x)
1.0ms	y	@	-inf	(*.f64 (-.f64 1 (/.f64 z y)) x)

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (-.f64 y z))
✓	0.2b	(/.f64 1 (/.f64 y (-.f64 y z)))
✓	3.2b	(*.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))

Compiler

Compiled 31 to 11 computations (64.5% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

150 → 101

Calls

Call 1

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

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

eval116.0ms (1.1%)

Compiler: Compiled 5950 to 2756 computations (53.7% saved)

prune71.0ms (0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	432	6	438
Fresh	4	1	5
Picked	1	0	1
Done	2	3	5
Total	439	10	449

Error

Counts

449 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	27.2b	x
▶	40.2b	(/.f64 (*.f64 z x) (neg.f64 y))
▶	2.9b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	5.0b	(-.f64 x (/.f64 z (/.f64 y x)))
▶	61.8b	(/.f64 z (/.f64 y x))
✓	40.0b	(*.f64 (neg.f64 z) (/.f64 x y))
✓	3.4b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	35.4b	(/.f64 (*.f64 y x) y)
▶	40.3b	(*.f64 (/.f64 z y) (neg.f64 x))
	12.2b	(/.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))

Compiler

Compiled 147 to 95 computations (35.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (-.f64 y z))
✓	2.8b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

97 → 67

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.6%)

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))))))))

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 42

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)

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

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(*.f64 (/.f64 z y) (neg.f64 x))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite140.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

61 → 27

Calls

Call 1

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

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

localize55.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(/.f64 (*.f64 z x) (neg.f64 y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
677×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	7
2	2173	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

82 → 48

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite212.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	163	10
2	2605	10

Stop Event

1×	node limit

Counts

1 → 215

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	35	330
2	66	330
3	116	330
4	224	330
5	410	330
6	804	330
7	1078	330
8	1273	330
9	1392	330
10	1406	330
11	1411	330

Stop Event

1×

saturated

Counts

251 → 222

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

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

eval187.0ms (1.8%)

Compiler: Compiled 9461 to 3297 computations (65.2% saved)

prune86.0ms (0.9%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	500	3	503
Fresh	1	1	2
Picked	0	1	1
Done	1	6	7
Total	502	11	513

Error

Counts

513 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.2b	(/.f64 (*.f64 z x) (neg.f64 y))
✓	2.9b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	5.0b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	61.8b	(/.f64 z (/.f64 y x))
	27.2b	x
▶	39.8b	(/.f64 x (/.f64 (neg.f64 y) z))
✓	3.4b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	35.4b	(/.f64 (*.f64 y x) y)
✓	40.3b	(*.f64 (/.f64 z y) (neg.f64 x))
▶	12.2b	(/.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))
▶	40.2b	(neg.f64 (/.f64 z (/.f64 y x)))

Compiler

Compiled 98 to 64 computations (34.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y z) x)
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))
✓	11.5b	(/.f64 y (*.f64 (-.f64 y z) x))

Compiler

Compiled 31 to 9 computations (71% saved)

series8.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

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

rewrite140.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
386×	`prod-diff_binary64`
349×	`pow-prod-down_binary64`
262×	`pow2_binary64`
184×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	198	27
2	2873	27

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

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

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

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

622×	`unswap-sqr_binary64`
616×	`associate-/l/_binary64`
532×	`associate-/r/_binary64`
384×	`sub-neg_binary64`
371×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1230
1	156	1128
2	529	1044
3	2577	984
4	6161	984

Stop Event

1×	node limit

Counts

228 → 170

Calls

Call 1

Inputs
(.f64 -1 (/.f64 y (.f64 z x)))
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 z (*.f64 y x)) (/.f64 1 x))
(+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 z (.f64 y x)) (+.f64 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(.f64 -1 (/.f64 y (.f64 z x)))
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))))
(.f64 -1 (/.f64 y (.f64 z x)))
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (.f64 (pow.f64 z 4) x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) 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)
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 (-.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 z x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))

Outputs
(.f64 -1 (/.f64 y (.f64 z x)))
(neg.f64 (/.f64 y (*.f64 z x)))
(/.f64 (neg.f64 y) (*.f64 z x))
(+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))))
(fma.f64 -1 (/.f64 y (.f64 z x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x (.f64 z z)))))
(-.f64 (/.f64 (neg.f64 y) (.f64 z x)) (.f64 (/.f64 y x) (/.f64 y (*.f64 z z))))
(.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z))))
(.f64 (/.f64 y (.f64 z x)) (-.f64 -1 (/.f64 y z)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 -1 (/.f64 y (.f64 z x))) (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x)))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (.f64 x (pow.f64 z 3))) (fma.f64 -1 (/.f64 y (.f64 z x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x (*.f64 z z))))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) (.f64 z x)) (.f64 (/.f64 y x) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 y 3) (.f64 x (pow.f64 z 3))))
(-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 -1 z) (/.f64 y (.f64 z z)))) (/.f64 (pow.f64 (/.f64 y z) 3) x))
(.f64 (/.f64 -1 x) (+.f64 (.f64 (+.f64 (/.f64 y z) 1) (/.f64 y z)) (pow.f64 (/.f64 y z) 3)))
(-.f64 (.f64 (/.f64 y (.f64 z x)) (-.f64 -1 (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) 3) x))
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(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(fma.f64 -1 (/.f64 (*.f64 z x) y) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(fma.f64 -1 (/.f64 (*.f64 z x) y) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(fma.f64 -1 (/.f64 (*.f64 z x) y) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(fma.f64 -1 (/.f64 (*.f64 z x) y) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(fma.f64 -1 (/.f64 (*.f64 z x) y) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(fma.f64 -1 (/.f64 (*.f64 z x) y) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(fma.f64 -1 (/.f64 (*.f64 z x) y) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(fma.f64 y x (neg.f64 (*.f64 z x)))
(*.f64 x (-.f64 y z))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	156	7
2	2428	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

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

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

eval54.0ms (0.5%)

Compiler: Compiled 3176 to 1231 computations (61.2% saved)

prune47.0ms (0.5%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	252	3	255
Fresh	1	0	1
Picked	0	1	1
Done	1	8	9
Total	254	12	266

Error

Counts

266 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(/.f64 1 (/.f64 1 x))
✓	3.4b	(*.f64 (-.f64 1 (/.f64 z y)) x)
	27.2b	x
✓	40.2b	(/.f64 (*.f64 z x) (neg.f64 y))
✓	2.9b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	5.0b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	61.8b	(/.f64 z (/.f64 y x))
✓	39.8b	(/.f64 x (/.f64 (neg.f64 y) z))
✓	35.4b	(/.f64 (*.f64 y x) y)
✓	40.3b	(*.f64 (/.f64 z y) (neg.f64 x))
✓	40.2b	(neg.f64 (/.f64 z (/.f64 y x)))
	40.2b	(/.f64 1 (/.f64 (neg.f64 y) (*.f64 z x)))

Compiler

Compiled 105 to 71 computations (32.4% saved)

regimes202.0ms (2%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
53.0ms	y
49.0ms	x
39.0ms	z

Results

Error	Segments	Branch
1.4b	3	`x`
1.4b	3	`y`
1.0b	2	`z`
0.1b	5	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 165 to 70 computations (57.6% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.391370380173042e+270	4.249872725767329e+296
0.0ms	6.114610588472966e-75	7.2209424757226e-73
0.0ms	-6.855285046166345e-128	-3.287881095002843e-133
0.0ms	-5.119840198994796e+280	-1.5396577678411452e+275

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes270.0ms (2.7%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

142.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
36.0ms	x
33.0ms	y
23.0ms	z

Results

Error	Segments	Branch
1.6b	3	`x`
1.7b	3	`y`
1.0b	2	`z`
0.1b	5	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 147 to 63 computations (57.1% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.391370380173042e+270	4.249872725767329e+296
0.0ms	6.114610588472966e-75	7.2209424757226e-73
0.0ms	-1.8193121345330758e+123	-7.970291240493922e+118
0.0ms	-inf	-5.119840198994796e+280

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes191.0ms (1.9%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	x
74.0ms	z
21.0ms	y

Results

Error	Segments	Branch
1.7b	3	`x`
2.9b	1	`y`
1.0b	2	`z`

Compiler

Compiled 104 to 45 computations (56.7% saved)

bsearch36.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	5.8760564166368735e-192	1.187407664690275e-182

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes118.0ms (1.2%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
37.0ms	z
22.0ms	y

Results

Error	Segments	Branch
2.9b	1	`x`
2.9b	1	`y`
1.0b	2	`z`

Compiler

Compiled 97 to 43 computations (55.7% saved)

bsearch135.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
135.0ms	5.8760564166368735e-192	1.187407664690275e-182

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes178.0ms (1.8%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

132.0ms	z
24.0ms	x
17.0ms	y

Results

Error	Segments	Branch
2.9b	1	`x`
2.9b	1	`y`
1.8b	2	`z`

Compiler

Compiled 90 to 42 computations (53.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	8.246479097291648e+128	1.970640855665353e+133

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes546.0ms (5.4%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

3 calls:

302.0ms	x
184.0ms	y
56.0ms	z

Results

Error	Segments	Branch
22.0b	9	`x`
20.3b	3	`y`
13.7b	5	`z`

Compiler

Compiled 76 to 36 computations (52.6% saved)

bsearch736.0ms (7.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
468.0ms	2.1510691652785854e+102	5.489224004860413e+119
30.0ms	1.5838275979479375e-7	0.003817475071924295
181.0ms	5.3696361838585986e-71	4.266722325405775e-66
56.0ms	-2.3129384686956604e+27	-1.67062748723902e+26

Compiler

Compiled 166 to 121 computations (27.1% saved)

regimes345.0ms (3.4%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

240.0ms	x
73.0ms	z
29.0ms	y

Results

Error	Segments	Branch
22.0b	9	`x`
20.3b	3	`y`
13.7b	5	`z`

Compiler

Compiled 58 to 29 computations (50% saved)

bsearch439.0ms (4.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
293.0ms	2.1510691652785854e+102	5.489224004860413e+119
72.0ms	1.5838275979479375e-7	0.003817475071924295
41.0ms	5.3696361838585986e-71	4.266722325405775e-66
33.0ms	-2.3129384686956604e+27	-1.67062748723902e+26

Compiler

Compiled 166 to 121 computations (27.1% saved)

regimes170.0ms (1.7%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	z
51.0ms	x
40.0ms	y

Results

Error	Segments	Branch
24.5b	5	`x`
22.0b	3	`y`
15.5b	5	`z`

Compiler

Compiled 40 to 23 computations (42.5% saved)

bsearch226.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
154.0ms	2.1510691652785854e+102	5.489224004860413e+119
31.0ms	1.5838275979479375e-7	0.003817475071924295
19.0ms	5.3696361838585986e-71	4.266722325405775e-66
21.0ms	-2.3129384686956604e+27	-1.67062748723902e+26

Compiler

Compiled 166 to 121 computations (27.1% saved)

regimes168.0ms (1.7%)

Accuracy

Total -34.9b remaining (-128%)

Threshold costs -34.9b (-128%)

Counts

7 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

157.0ms	z
5.0ms	y
5.0ms	x

Results

Error	Segments	Branch
27.2b	1	`x`
27.2b	1	`y`
27.2b	1	`z`

Compiler

Compiled 34 to 20 computations (41.2% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	460
1	95	460
2	117	460
3	130	460
4	137	460
5	140	460
6	141	460

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -156087427515799616/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (-.f64 x (/.f64 1 (/.f64 y (.f64 z x)))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999529098585253973751145501342374646995204443699533752222309208135100774737254399069875964494058799026896824009283758441475916906799486389390443691279468658234350904109878520700943148057046794110173854458342872794765056233999682236635579342942941443126198272) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999529098585253973751145501342374646995204443699533752222309208135100774737254399069875964494058799026896824009283758441475916906799486389390443691279468658234350904109878520700943148057046794110173854458342872794765056233999682236635579342942941443126198272) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 z 3773053627523841/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (/.f64 x (/.f64 y (-.f64 y z))) (-.f64 x (*.f64 z (/.f64 x y))))
(if (<=.f64 z 3773053627523841/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (/.f64 x (/.f64 y (-.f64 y z))) (-.f64 x (/.f64 z (/.f64 y x))))
(if (<=.f64 z 10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864) (/.f64 x (/.f64 y (-.f64 y z))) (*.f64 (neg.f64 z) (/.f64 x y)))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 26704448452996544/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 z 23373169884979/147573952589676412928) (.f64 (neg.f64 z) (/.f64 x y)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (.f64 (neg.f64 z) (/.f64 x y))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 26704448452996544/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 z 23373169884979/147573952589676412928) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (neg.f64 (/.f64 z (/.f64 y x)))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 26704448452996544/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 z 23373169884979/147573952589676412928) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (/.f64 x (/.f64 (neg.f64 y) z))))))
x

Outputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -156087427515799616/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (-.f64 x (/.f64 1 (/.f64 y (.f64 z x)))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999529098585253973751145501342374646995204443699533752222309208135100774737254399069875964494058799026896824009283758441475916906799486389390443691279468658234350904109878520700943148057046794110173854458342872794765056233999682236635579342942941443126198272) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 x (/.f64 1 (/.f64 y (.f64 x z)))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999529098585253973751145501342374646995204443699533752222309208135100774737254399069875964494058799026896824009283758441475916906799486389390443691279468658234350904109878520700943148057046794110173854458342872794765056233999682236635579342942941443126198272) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (+.f64 x (/.f64 -1 (/.f64 y (.f64 x z)))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999529098585253973751145501342374646995204443699533752222309208135100774737254399069875964494058799026896824009283758441475916906799486389390443691279468658234350904109878520700943148057046794110173854458342872794765056233999682236635579342942941443126198272) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376) (/.f64 (.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 9999999999999999529098585253973751145501342374646995204443699533752222309208135100774737254399069875964494058799026896824009283758441475916906799486389390443691279468658234350904109878520700943148057046794110173854458342872794765056233999682236635579342942941443126198272) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 z (/.f64 y x)))))))
(if (<=.f64 z 3773053627523841/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (/.f64 x (/.f64 y (-.f64 y z))) (-.f64 x (*.f64 z (/.f64 x y))))
(if (<=.f64 z 3773053627523841/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (/.f64 x (/.f64 y (-.f64 y z))) (-.f64 x (/.f64 z (/.f64 y x))))
(if (<=.f64 z 10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864) (/.f64 x (/.f64 y (-.f64 y z))) (*.f64 (neg.f64 z) (/.f64 x y)))
(if (<=.f64 z 10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864) (/.f64 x (/.f64 y (-.f64 y z))) (*.f64 (/.f64 x y) (neg.f64 z)))
(if (<=.f64 z 10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864) (/.f64 x (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 (neg.f64 x) y)))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 26704448452996544/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 z 23373169884979/147573952589676412928) (.f64 (neg.f64 z) (/.f64 x y)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (.f64 (neg.f64 z) (/.f64 x y))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 417257007078071/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) x (if (<=.f64 z 23373169884979/147573952589676412928) (.f64 (/.f64 x y) (neg.f64 z)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (.f64 (/.f64 x y) (neg.f64 z))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 417257007078071/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) x (if (<=.f64 z 23373169884979/147573952589676412928) (.f64 z (/.f64 (neg.f64 x) y)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (.f64 z (/.f64 (neg.f64 x) y))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 26704448452996544/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 z 23373169884979/147573952589676412928) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (neg.f64 (/.f64 z (/.f64 y x)))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 417257007078071/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) x (if (<=.f64 z 23373169884979/147573952589676412928) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (neg.f64 (/.f64 z (/.f64 y x)))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 26704448452996544/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) x (if (<=.f64 z 23373169884979/147573952589676412928) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (/.f64 x (/.f64 (neg.f64 y) z))))))
(if (<=.f64 z -2312938468695660432424173568) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 417257007078071/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) x (if (<=.f64 z 23373169884979/147573952589676412928) (/.f64 x (/.f64 (neg.f64 y) z)) (if (<=.f64 z 539999999999999966266886747692153521992945851143515191856220196705805866522923117881757533977347836767393549496524734464) x (/.f64 x (/.f64 (neg.f64 y) z))))))
x

Compiler

Compiled 341 to 150 computations (56% saved)

soundness383.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 168 to 98 computations (41.7% saved)

end111.0ms (1.1%)

Compiler: Compiled 317 to 95 computations (70% saved)

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

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

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

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

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

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

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

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

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

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

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

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