Details

analyze272.0ms (7.4%)

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
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (34.3%)

Results

1.0s	8256×	body	256	valid
232.0ms	1279×	body	256	infinite

Bogosity

preprocess117.0ms (3.2%)

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	44	44
2	88	44
3	152	44
4	338	36
5	681	32
6	1139	32
7	1866	32
8	2487	32
9	2785	32
10	2860	32
11	2861	32
12	2861	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 (-.f64 1 x) y) (.f64 x z))
(+.f64 (.f64 (-.f64 1 y) x) (.f64 y z))
(+.f64 (.f64 (-.f64 1 z) y) (.f64 z x))
(+.f64 (.f64 (-.f64 1 x) z) (.f64 x y))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify29.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
45×	`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	346	8
7	557	8
8	961	8
9	1141	8
10	1201	8
11	1211	8

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

Counts

7 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize37.0ms (1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite62.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
411×	`prod-exp_binary64`
382×	`fma-def_binary64`
353×	`exp-prod_binary64`
343×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2622	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

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

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

479×	`distribute-rgt-in_binary64`
447×	`distribute-lft-in_binary64`
431×	`unswap-sqr_binary64`
312×	`times-frac_binary64`
260×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2353
1	709	2170
2	1990	2144

Stop Event

1×	node limit

Counts

182 → 159

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (1.5%)

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 x (-.f64 z y) y)

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

Outputs

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

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

501×	`times-frac_binary64`
388×	`associate-l_binary64`
328×	`associate-r_binary64`
307×	`associate-+l+_binary64`
296×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	477
1	184	471
2	656	465
3	3817	465

Stop Event

1×	node limit

Counts

57 → 37

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite73.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	162	11
2	1993	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

451×	`associate-l_binary64`
388×	`associate-+l+_binary64`
378×	`associate-r_binary64`
335×	`fma-neg_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	611
1	176	512
2	690	506
3	3991	477

Stop Event

1×	node limit

Counts

57 → 42

Calls

Call 1

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

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

eval79.0ms (2.1%)

Compiler: Compiled 3448 to 1722 computations (50.1% saved)

prune39.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	231	7	238
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	232	9	241

Error

Counts

241 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 x (-.f64 z y) y)
▶	23.0b	(-.f64 y (*.f64 y x))
▶	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
	29.6b	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
▶	10.9b	(+.f64 y (*.f64 x z))
▶	29.6b	(*.f64 (-.f64 z y) x)
▶	40.1b	(*.f64 z x)
	33.3b	y

Compiler

Compiled 127 to 80 computations (37% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.2%)

Counts

2 → 51

Calls

18 calls:

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

rewrite54.0ms (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 (-.f64 z y) x)
(+.f64 (*.f64 (-.f64 z y) x) y)

Outputs

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

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

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-def_binary64`
320×	`unswap-sqr_binary64`
304×	`log-prod_binary64`
295×	`distribute-rgt-in_binary64`
290×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1335
1	347	1094
2	1251	1054
3	7146	1054

Stop Event

1×	node limit

Counts

103 → 82

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
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localize3.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.1%)

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)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	5
2	1779	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg_binary64`
486×	`associate-l_binary64`
441×	`associate-r_binary64`
432×	`div-sub_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	484
1	218	469
2	732	469
3	4835	469

Stop Event

1×	node limit

Counts

71 → 42

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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	y	@	0	(-.f64 y (*.f64 y x))
0.0ms	y	@	inf	(-.f64 y (*.f64 y x))
0.0ms	y	@	-inf	(-.f64 y (*.f64 y x))
0.0ms	x	@	-inf	(-.f64 y (*.f64 y x))
0.0ms	x	@	0	(-.f64 y (*.f64 y x))

rewrite43.0ms (1.2%)

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 y (*.f64 y x))

Outputs

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

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
535×	`fma-def_binary64`
320×	`times-frac_binary64`
217×	`associate-/l*_binary64`
188×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	566
1	296	536
2	1146	536
3	5664	536

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

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

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

eval61.0ms (1.7%)

Compiler: Compiled 2460 to 769 computations (68.7% saved)

prune31.0ms (0.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	0	2	2
Picked	0	1	1
Done	1	5	6
Total	200	10	210

Error

Counts

210 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.0b	(fma.f64 x (neg.f64 y) y)
✓	23.0b	(-.f64 y (*.f64 y x))
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	29.6b	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
✓	10.9b	(+.f64 y (*.f64 x z))
✓	29.6b	(*.f64 (-.f64 z y) x)
✓	40.1b	(*.f64 z x)
▶	52.0b	(*.f64 y (neg.f64 x))
	33.3b	y

Compiler

Compiled 82 to 53 computations (35.4% saved)

localize5.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite44.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`pow1_binary64`
779×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	7
2	2466	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Rules

816×	`div-sub_binary64`
604×	`fma-neg_binary64`
427×	`associate-/l*_binary64`
373×	`fma-def_binary64`
242×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	1072
1	289	872
2	1133	783
3	5288	783

Stop Event

1×	node limit

Counts

76 → 63

Calls

Call 1

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

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

localize21.0ms (0.6%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

eval11.0ms (0.3%)

Compiler: Compiled 860 to 299 computations (65.2% saved)

prune44.0ms (1.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	63	10	73

Error

Counts

73 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.0b	(fma.f64 x (neg.f64 y) y)
▶	29.6b	(-.f64 (.f64 z x) (.f64 x y))
✓	23.0b	(-.f64 y (*.f64 y x))
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	10.9b	(+.f64 y (*.f64 x z))
✓	29.6b	(*.f64 (-.f64 z y) x)
✓	40.1b	(*.f64 z x)
✓	52.0b	(*.f64 y (neg.f64 x))
	33.3b	y

Compiler

Compiled 81 to 52 computations (35.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

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	z	@	0	(-.f64 (.f64 z x) (.f64 x y))
0.0ms	x	@	-inf	(-.f64 (.f64 z x) (.f64 x y))
0.0ms	y	@	-inf	(-.f64 (.f64 z x) (.f64 x y))
0.0ms	z	@	inf	(-.f64 (.f64 z x) (.f64 x y))
0.0ms	x	@	inf	(-.f64 (.f64 z x) (.f64 x y))

rewrite71.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2222	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-*l/_binary64`
386×	`cancel-sign-sub-inv_binary64`
328×	`fma-neg_binary64`
317×	`distribute-rgt-in_binary64`
272×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1110
1	413	850
2	1947	791

Stop Event

1×	node limit

Counts

85 → 68

Calls

Call 1

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

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

eval36.0ms (1%)

Compiler: Compiled 1093 to 290 computations (73.5% saved)

prune12.0ms (0.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	68	10	78

Error

Counts

78 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.0b	(fma.f64 x (neg.f64 y) y)
✓	29.6b	(-.f64 (.f64 z x) (.f64 x y))
✓	23.0b	(-.f64 y (*.f64 y x))
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	10.9b	(+.f64 y (*.f64 x z))
✓	29.6b	(*.f64 (-.f64 z y) x)
✓	40.1b	(*.f64 z x)
✓	52.0b	(*.f64 y (neg.f64 x))
	33.3b	y

Compiler

Compiled 81 to 52 computations (35.8% saved)

regimes32.0ms (0.9%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 100 to 44 computations (56% saved)

regimes45.0ms (1.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	y
7.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
6.0ms	z
6.0ms	x

Results

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

Compiler

Compiled 92 to 41 computations (55.4% saved)

regimes28.0ms (0.8%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
6.0ms	x
6.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
6.0ms	y

Results

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

Compiler

Compiled 86 to 40 computations (53.5% saved)

regimes21.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	z
5.0ms	y

Results

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

Compiler

Compiled 60 to 27 computations (55% saved)

regimes55.0ms (1.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
18.0ms	z
13.0ms	x

Results

Error	Segments	Branch
0.6b	3	`x`
5.1b	5	`y`
6.3b	3	`z`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch36.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.6912610739938725e-32	1.7853822401059064e-12
15.0ms	-79951.24082928115	-0.38148169098425777

Results

32.0ms

320×

body

256

valid

Compiler

Compiled 378 to 253 computations (33.1% saved)

regimes58.0ms (1.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
23.0ms	z
10.0ms	x

Results

Error	Segments	Branch
8.4b	3	`x`
16.0b	7	`y`
22.8b	7	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch34.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.6912610739938725e-32	1.7853822401059064e-12
14.0ms	-4.917559230670587e-15	-2.0084775016478347e-19

Results

31.0ms

304×

body

256

valid

Compiler

Compiled 284 to 203 computations (28.5% saved)

regimes52.0ms (1.4%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
17.0ms	x
14.0ms	y

Results

Error	Segments	Branch
17.8b	5	`x`
20.8b	5	`y`
27.2b	5	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch51.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
7.0ms	4.8104469353025516e+58	7.322440239023239e+58
12.0ms	1783916.682295743	222416568.19333136
18.0ms	1.6912610739938725e-32	1.7853822401059064e-12
14.0ms	-4.917559230670587e-15	-2.0084775016478347e-19

Results

46.0ms	480×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 411 to 305 computations (25.8% saved)

regimes38.0ms (1%)

Accuracy

Total -43.1b remaining (-228.9%)

Threshold costs -43.1b (-228.9%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 z x)

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

Calls

3 calls:

16.0ms	z
13.0ms	y
9.0ms	x

Results

Error	Segments	Branch
18.8b	3	`x`
20.8b	5	`y`
27.2b	5	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch32.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.6912610739938725e-32	1.7853822401059064e-12
14.0ms	-4.917559230670587e-15	-2.0084775016478347e-19

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 246 to 184 computations (25.2% saved)

simplify9.0ms (0.2%)

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	49	167
1	67	167
2	78	167
3	84	167
4	86	167

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -1) (.f64 (-.f64 z y) x) (if (<=.f64 x 8715097876569077/4951760157141521099596496896) (+.f64 y (.f64 x z)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -602134035108409/633825300114114700748351602688) (.f64 (-.f64 z y) x) (if (<=.f64 x 370153975266643/5070602400912917605986812821504) y (.f64 (-.f64 z y) x)))
(if (<=.f64 x -6084722881095501/10141204801825835211973625643008) (.f64 z x) (if (<=.f64 x 1595073594941899/664613997892457936451903530140172288) y (if (<=.f64 x 220000000) (.f64 z x) (if (<=.f64 x 60000000000000004991496389295465462970677278814214746537984) (.f64 y (neg.f64 x)) (.f64 z x)))))
(if (<=.f64 x -8437482395119095/324518553658426726783156020576256) (.f64 z x) (if (<=.f64 x 8166776806102523/1361129467683753853853498429727072845824) y (.f64 z x)))
y

Outputs
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 x -1) (.f64 (-.f64 z y) x) (if (<=.f64 x 8715097876569077/4951760157141521099596496896) (+.f64 y (.f64 x z)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -1) (.f64 x (-.f64 z y)) (if (<=.f64 x 8715097876569077/4951760157141521099596496896) (+.f64 y (.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 x -602134035108409/633825300114114700748351602688) (.f64 (-.f64 z y) x) (if (<=.f64 x 370153975266643/5070602400912917605986812821504) y (.f64 (-.f64 z y) x)))
(if (<=.f64 x -602134035108409/633825300114114700748351602688) (.f64 x (-.f64 z y)) (if (<=.f64 x 370153975266643/5070602400912917605986812821504) y (.f64 x (-.f64 z y))))
(if (<=.f64 x -6084722881095501/10141204801825835211973625643008) (.f64 z x) (if (<=.f64 x 1595073594941899/664613997892457936451903530140172288) y (if (<=.f64 x 220000000) (.f64 z x) (if (<=.f64 x 60000000000000004991496389295465462970677278814214746537984) (.f64 y (neg.f64 x)) (.f64 z x)))))
(if (<=.f64 x -6084722881095501/10141204801825835211973625643008) (.f64 x z) (if (<=.f64 x 1595073594941899/664613997892457936451903530140172288) y (if (<=.f64 x 220000000) (.f64 x z) (if (<=.f64 x 60000000000000004991496389295465462970677278814214746537984) (.f64 y (neg.f64 x)) (.f64 x z)))))
(if (<=.f64 x -6084722881095501/10141204801825835211973625643008) (.f64 x z) (if (<=.f64 x 1595073594941899/664613997892457936451903530140172288) y (if (<=.f64 x 220000000) (.f64 x z) (if (<=.f64 x 60000000000000004991496389295465462970677278814214746537984) (.f64 x (neg.f64 y)) (.f64 x z)))))
(if (<=.f64 x -8437482395119095/324518553658426726783156020576256) (.f64 z x) (if (<=.f64 x 8166776806102523/1361129467683753853853498429727072845824) y (.f64 z x)))
(if (<=.f64 x -8437482395119095/324518553658426726783156020576256) (.f64 x z) (if (<=.f64 x 8166776806102523/1361129467683753853853498429727072845824) y (.f64 x z)))
y

Compiler

Compiled 145 to 81 computations (44.1% saved)

soundness49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
45×	`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	346	8
7	557	8
8	961	8
9	1141	8
10	1201	8
11	1211	8

Stop Event

1×

saturated

Compiler

Compiled 23 to 15 computations (34.8% saved)

end103.0ms (2.8%)

Compiler: Compiled 121 to 48 computations (60.3% saved)

Details

analyze272.0ms (7.4%)

sample1.3s (34.3%)

preprocess117.0ms (3.2%)

simplify29.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize37.0ms (1%)

series7.0ms (0.2%)

rewrite62.0ms (1.7%)

simplify95.0ms (2.6%)

localize6.0ms (0.2%)

series5.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify53.0ms (1.4%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite73.0ms (2%)

simplify41.0ms (1.1%)

eval79.0ms (2.1%)

prune39.0ms (1.1%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite54.0ms (1.5%)

simplify56.0ms (1.5%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite42.0ms (1.1%)

simplify41.0ms (1.1%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite43.0ms (1.2%)

simplify46.0ms (1.3%)

eval61.0ms (1.7%)

prune31.0ms (0.8%)

localize5.0ms (0.1%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite44.0ms (1.2%)

simplify73.0ms (2%)

localize21.0ms (0.6%)

eval11.0ms (0.3%)

prune44.0ms (1.2%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite71.0ms (1.9%)

simplify42.0ms (1.2%)

eval36.0ms (1%)

prune12.0ms (0.3%)

regimes32.0ms (0.9%)

regimes45.0ms (1.2%)

regimes28.0ms (0.8%)

regimes21.0ms (0.6%)

regimes55.0ms (1.5%)

bsearch36.0ms (1%)

regimes58.0ms (1.6%)

bsearch34.0ms (0.9%)

regimes52.0ms (1.4%)

bsearch51.0ms (1.4%)

regimes38.0ms (1%)

bsearch32.0ms (0.9%)

simplify9.0ms (0.2%)

soundness49.0ms (1.3%)

end103.0ms (2.8%)

Profiling