Details

analyze245.0ms (6.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
43%	40.6%	53.8%	0.1%	5.5%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (40.8%)

Results

1.3s	8256×	body	256	valid
163.0ms	1232×	body	256	infinite

Bogosity

preprocess86.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
180×	`cancel-sign-sub-inv_binary64`
127×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	43	44
2	87	44
3	151	44
4	337	36
5	680	32
6	1142	32
7	1869	32
8	2490	32
9	2788	32
10	2863	32
11	2864	32
12	2864	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
44×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	347	8
7	558	8
8	969	8
9	1154	8
10	1214	8
11	1224	8

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 49 to 23 computations (53.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y (-.f64 x z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

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

rewrite60.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
409×	`prod-exp_binary64`
382×	`fma-def_binary64`
353×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2623	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

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

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

588×	`distribute-rgt-in_binary64`
551×	`distribute-lft-in_binary64`
428×	`unswap-sqr_binary64`
286×	`times-frac_binary64`
259×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	296	2256
1	713	1906
2	2049	1906

Stop Event

1×	node limit

Counts

170 → 153

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite40.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

493×	`times-frac_binary64`
380×	`associate-l_binary64`
321×	`associate-r_binary64`
294×	`fma-neg_binary64`
272×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	474
1	185	471
2	666	465
3	3871	465

Stop Event

1×	node limit

Counts

57 → 40

Calls

Call 1

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

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

eval45.0ms (1.3%)

Compiler: Compiled 2755 to 1281 computations (53.5% saved)

prune32.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	185	8	193
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	186	9	195

Error

Counts

195 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 y (-.f64 x z) z)
	22.3b	(-.f64 z (*.f64 z y))
▶	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
	30.0b	(+.f64 (.f64 x y) (.f64 z (neg.f64 y)))
▶	11.7b	(+.f64 (*.f64 x y) z)
▶	22.3b	(*.f64 z (-.f64 1 y))
▶	30.0b	(*.f64 y (-.f64 x z))
▶	41.0b	(*.f64 y x)
	33.6b	z

Compiler

Compiled 131 to 84 computations (35.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 51

Calls

18 calls:

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

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
883×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
864×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	159	15
2	2348	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

549×	`fma-def_binary64`
433×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`
320×	`unswap-sqr_binary64`
290×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1122
1	350	1094
2	1330	1076

Stop Event

1×	node limit

Counts

103 → 79

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 1 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
485×	`associate-l_binary64`
446×	`div-sub_binary64`
428×	`associate-r_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	494
1	218	469
2	730	469
3	4823	469

Stop Event

1×	node limit

Counts

71 → 41

Calls

Call 1

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

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

eval37.0ms (1%)

Compiler: Compiled 2416 to 915 computations (62.1% saved)

prune32.0ms (0.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	1	2	3
Picked	0	1	1
Done	1	4	5
Total	211	10	221

Error

Counts

221 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.7b	(fma.f64 y x z)
▶	22.3b	(-.f64 z (*.f64 z y))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
▶	30.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
✓	11.7b	(+.f64 (*.f64 x y) z)
▶	51.3b	(*.f64 (neg.f64 y) z)
✓	22.3b	(*.f64 z (-.f64 1 y))
✓	30.0b	(*.f64 y (-.f64 x z))
✓	41.0b	(*.f64 y x)
	33.6b	z

Compiler

Compiled 77 to 50 computations (35.1% saved)

localize5.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
1.0ms	y	@	inf	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0ms	x	@	0	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0ms	z	@	0	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0ms	y	@	-inf	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite44.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2564	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-neg_binary64`
303×	`fma-def_binary64`
250×	`log-prod_binary64`
220×	`div-sub_binary64`
194×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1045
1	337	893
2	1296	789
3	5213	789

Stop Event

1×	node limit

Counts

80 → 68

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-neg_binary64`
524×	`fma-def_binary64`
320×	`times-frac_binary64`
215×	`associate-/l*_binary64`
181×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	566
1	298	536
2	1156	536
3	5694	536

Stop Event

1×	node limit

Counts

62 → 49

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

eval25.0ms (0.7%)

Compiler: Compiled 1529 to 519 computations (66.1% saved)

prune18.0ms (0.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	117	10	127

Error

Counts

127 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.7b	(fma.f64 y x z)
▶	30.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	22.3b	(-.f64 z (*.f64 z y))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
✓	11.7b	(+.f64 (*.f64 x y) z)
✓	51.3b	(*.f64 (neg.f64 y) z)
✓	22.3b	(*.f64 z (-.f64 1 y))
✓	30.0b	(*.f64 y (-.f64 x z))
✓	41.0b	(*.f64 y x)
	33.6b	z

Compiler

Compiled 76 to 49 computations (35.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2300	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-def_binary64`
668×	`times-frac_binary64`
379×	`associate-/l*_binary64`
307×	`cancel-sign-sub-inv_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1017
1	422	955
2	1679	896

Stop Event

1×	node limit

Counts

89 → 71

Calls

Call 1

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

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

eval13.0ms (0.4%)

Compiler: Compiled 1111 to 310 computations (72.1% saved)

prune13.0ms (0.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	71	10	81

Error

Counts

81 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.7b	(fma.f64 y x z)
✓	30.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	22.3b	(-.f64 z (*.f64 z y))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
✓	11.7b	(+.f64 (*.f64 x y) z)
✓	51.3b	(*.f64 (neg.f64 y) z)
✓	22.3b	(*.f64 z (-.f64 1 y))
✓	30.0b	(*.f64 y (-.f64 x z))
✓	41.0b	(*.f64 y x)
	33.6b	z

Compiler

Compiled 76 to 49 computations (35.5% saved)

regimes32.0ms (0.9%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
7.0ms	y
7.0ms	z
7.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))`

Compiler

Compiled 104 to 46 computations (55.8% saved)

regimes31.0ms (0.9%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
7.0ms	y
7.0ms	x
7.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))`

Compiler

Compiled 98 to 45 computations (54.1% saved)

regimes21.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
7.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`

Compiler

Compiled 73 to 32 computations (56.2% saved)

regimes43.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	x
14.0ms	y
9.0ms	z

Results

Error	Segments	Branch
6.9b	3	`x`
1.1b	3	`y`
7.9b	2	`z`

Compiler

Compiled 43 to 24 computations (44.2% saved)

bsearch22.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	1.3920212742369376e-11	1.0877358823128234e-10
11.0ms	-118.7739621131387	-0.8752374168922171

Results

19.0ms

208×

body

256

valid

Compiler

Compiled 252 to 169 computations (32.9% saved)

regimes43.0ms (1.2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
12.0ms	z
12.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
12.2b	5	`y`
12.5b	3	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch48.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
11.0ms	1.3920212742369376e-11	1.0877358823128234e-10
16.0ms	1.468332016413615e-58	2.6631226641652782e-51
12.0ms	4.77212332967202e-84	8.964515813046536e-83
10.0ms	-590.0307548951484	-133.69467994119304

Results

43.0ms	448×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 490 to 361 computations (26.3% saved)

regimes69.0ms (1.9%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	z
26.0ms	x
16.0ms	y

Results

Error	Segments	Branch
21.1b	7	`x`
12.7b	5	`y`
17.8b	7	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch53.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	1.3920212742369376e-11	1.0877358823128234e-10
15.0ms	1.468332016413615e-58	2.6631226641652782e-51
11.0ms	4.77212332967202e-84	8.964515813046536e-83
15.0ms	-2.0593608720571274e-16	-1.0117232477926016e-22

Results

47.0ms

496×

body

256

valid

Compiler

Compiled 420 to 307 computations (26.9% saved)

regimes47.0ms (1.3%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
15.0ms	x
12.0ms	z

Results

Error	Segments	Branch
24.4b	5	`x`
20.0b	7	`y`
24.0b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch89.0ms (2.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	1.0877358823128234e-10	4927.167918865212
15.0ms	1.468332016413615e-58	2.6631226641652782e-51
11.0ms	4.77212332967202e-84	8.964515813046536e-83
12.0ms	-118.7739621131387	-0.8752374168922171
12.0ms	-4.4082139231509855e+24	-2.367559486322709e+22
21.0ms	-1.3541730498989906e+144	-1.8099429842994942e+137

Results

73.0ms	784×	body	256	valid
7.0ms	68×	body	256	infinite

Compiler

Compiled 671 to 503 computations (25% saved)

regimes32.0ms (0.9%)

Accuracy

Total -38.3b remaining (-162.3%)

Threshold costs -38.3b (-162.3%)

Counts

2 → 5

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

13.0ms	y
10.0ms	z
8.0ms	x

Results

Error	Segments	Branch
25.5b	3	`x`
23.6b	5	`y`
24.0b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch51.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	1.3920212742369376e-11	1.0877358823128234e-10
15.0ms	1.468332016413615e-58	2.6631226641652782e-51
12.0ms	4.77212332967202e-84	8.964515813046536e-83
15.0ms	-2.0593608720571274e-16	-1.0117232477926016e-22

Results

45.0ms

496×

body

256

valid

Compiler

Compiled 390 to 292 computations (25.1% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	267
1	92	267
2	103	267
3	110	267
4	112	267

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y (-.f64 x z)) z)
(if (<=.f64 y -1) (.f64 y (-.f64 x z)) (if (<=.f64 y 8356095265176317/77371252455336267181195264) (+.f64 (.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 y -320) (.f64 y (-.f64 x z)) (if (<=.f64 y 5878236322854345/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 z (-.f64 1 y)) (if (<=.f64 y 8480865910936245/56539106072908298546665520023773392506479484700019806659891398441363832832) (.f64 y x) (if (<=.f64 y 5570730176784211/77371252455336267181195264) (.f64 z (-.f64 1 y)) (*.f64 y (-.f64 x z))))))
(if (<=.f64 y -4572544305500111/10633823966279326983230456482242756608) (.f64 y (-.f64 x z)) (if (<=.f64 y 5878236322854345/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) z (if (<=.f64 y 1908194829960655/7067388259113537318333190002971674063309935587502475832486424805170479104) (.f64 y x) (if (<=.f64 y 851083777008699/19342813113834066795298816) z (*.f64 y (-.f64 x z))))))
(if (<=.f64 y -5499999999999999850100609295502793958470915098592344411115382362282498895618936338289111617796827857167117056456130971886960685976484052992) (.f64 (neg.f64 y) z) (if (<=.f64 y -1299999999999999924502528) (.f64 y x) (if (<=.f64 y -1) (.f64 (neg.f64 y) z) (if (<=.f64 y 5809884737704875/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 y 4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 y x) (if (<=.f64 y 1) z (*.f64 (neg.f64 y) z)))))))
(if (<=.f64 y -3143773488566009/20282409603651670423947251286016) (.f64 y x) (if (<=.f64 y 6014939493153283/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 y 8282095616148677/3450873173395281893717377931138512726225554486085193277581262111899648) (.f64 y x) (if (<=.f64 y 4332790137498831/309485009821345068724781056) z (*.f64 y x)))))
z

Outputs
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 z (*.f64 y (-.f64 x z)))
(if (<=.f64 y -1) (.f64 y (-.f64 x z)) (if (<=.f64 y 8356095265176317/77371252455336267181195264) (+.f64 (.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 y -1) (.f64 y (-.f64 x z)) (if (<=.f64 y 8356095265176317/77371252455336267181195264) (+.f64 z (.f64 y x)) (*.f64 y (-.f64 x z))))
(if (<=.f64 y -320) (.f64 y (-.f64 x z)) (if (<=.f64 y 5878236322854345/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 z (-.f64 1 y)) (if (<=.f64 y 8480865910936245/56539106072908298546665520023773392506479484700019806659891398441363832832) (.f64 y x) (if (<=.f64 y 5570730176784211/77371252455336267181195264) (.f64 z (-.f64 1 y)) (*.f64 y (-.f64 x z))))))
(if (<=.f64 y -4572544305500111/10633823966279326983230456482242756608) (.f64 y (-.f64 x z)) (if (<=.f64 y 5878236322854345/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) z (if (<=.f64 y 1908194829960655/7067388259113537318333190002971674063309935587502475832486424805170479104) (.f64 y x) (if (<=.f64 y 851083777008699/19342813113834066795298816) z (*.f64 y (-.f64 x z))))))
(if (<=.f64 y -5499999999999999850100609295502793958470915098592344411115382362282498895618936338289111617796827857167117056456130971886960685976484052992) (.f64 (neg.f64 y) z) (if (<=.f64 y -1299999999999999924502528) (.f64 y x) (if (<=.f64 y -1) (.f64 (neg.f64 y) z) (if (<=.f64 y 5809884737704875/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 y 4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 y x) (if (<=.f64 y 1) z (*.f64 (neg.f64 y) z)))))))
(if (<=.f64 y -5499999999999999850100609295502793958470915098592344411115382362282498895618936338289111617796827857167117056456130971886960685976484052992) (.f64 z (neg.f64 y)) (if (<=.f64 y -1299999999999999924502528) (.f64 y x) (if (<=.f64 y -1) (.f64 z (neg.f64 y)) (if (<=.f64 y 5809884737704875/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 y 4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 y x) (if (<=.f64 y 1) z (*.f64 z (neg.f64 y))))))))
(if (<=.f64 y -3143773488566009/20282409603651670423947251286016) (.f64 y x) (if (<=.f64 y 6014939493153283/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 y 8282095616148677/3450873173395281893717377931138512726225554486085193277581262111899648) (.f64 y x) (if (<=.f64 y 4332790137498831/309485009821345068724781056) z (*.f64 y x)))))
z

Compiler

Compiled 214 to 117 computations (45.3% saved)

soundness101.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
44×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	347	8
7	558	8
8	969	8
9	1154	8
10	1214	8
11	1224	8

Stop Event

1×

saturated

Compiler

Compiled 184 to 118 computations (35.9% saved)

end98.0ms (2.8%)

Compiler: Compiled 190 to 81 computations (57.4% saved)

Details

analyze245.0ms (6.9%)

sample1.5s (40.8%)

preprocess86.0ms (2.4%)

simplify30.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite60.0ms (1.7%)

simplify56.0ms (1.6%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite40.0ms (1.1%)

simplify38.0ms (1.1%)

eval45.0ms (1.3%)

prune32.0ms (0.9%)

localize6.0ms (0.2%)

series5.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify41.0ms (1.1%)

localize3.0ms (0.1%)

localize6.0ms (0.2%)

localize6.0ms (0.2%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite42.0ms (1.2%)

simplify42.0ms (1.2%)

eval37.0ms (1%)

prune32.0ms (0.9%)

localize5.0ms (0.1%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite44.0ms (1.2%)

simplify48.0ms (1.3%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite40.0ms (1.1%)

simplify45.0ms (1.3%)

localize4.0ms (0.1%)

eval25.0ms (0.7%)

prune18.0ms (0.5%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite47.0ms (1.3%)

simplify39.0ms (1.1%)

eval13.0ms (0.4%)

prune13.0ms (0.4%)

regimes32.0ms (0.9%)

regimes31.0ms (0.9%)

regimes21.0ms (0.6%)

regimes43.0ms (1.2%)

bsearch22.0ms (0.6%)

regimes43.0ms (1.2%)

bsearch48.0ms (1.4%)

regimes69.0ms (1.9%)

bsearch53.0ms (1.5%)

regimes47.0ms (1.3%)

bsearch89.0ms (2.5%)

regimes32.0ms (0.9%)

bsearch51.0ms (1.4%)

simplify12.0ms (0.3%)

soundness101.0ms (2.8%)

end98.0ms (2.8%)

Profiling