Details

analyze649.0ms (7.7%)

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)

sample3.0s (35.3%)

Results

2.6s	8256×	body	256	valid
417.0ms	1235×	body	256	infinite

Bogosity

preprocess104.0ms (1.2%)

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)

simplify35.0ms (0.4%)

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 → 2

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 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.1%)

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)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite80.0ms (0.9%)

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 (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) 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))))))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

325×	`fma-def_binary64`
259×	`fma-neg_binary64`
72×	`cancel-sign-sub-inv_binary64`
53×	`distribute-rgt-in_binary64`
47×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	530
1	51	424
2	105	424
3	219	424
4	511	424
5	856	424
6	1145	424
7	1321	424
8	1337	424

Stop Event

1×

saturated

Counts

182 → 137

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)))

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

localize11.0ms (0.1%)

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)

series10.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 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)))))))

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

422×	`fma-def_binary64`
271×	`fma-neg_binary64`
63×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`
40×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	270
1	60	264
2	116	264
3	230	264
4	403	264
5	771	264
6	1141	264
7	1370	264
8	1380	264

Stop Event

1×

saturated

Counts

57 → 33

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))))

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)

eval87.0ms (1%)

Compiler: Compiled 2301 to 1171 computations (49.1% saved)

prune61.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	163	7	170
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	164	8	172

Error

Counts

172 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 x (-.f64 z y) y)
	8.5b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))
▶	40.8b	(*.f64 z x)
▶	11.7b	(+.f64 y (*.f64 x z))
▶	22.6b	(-.f64 y (*.f64 y x))
▶	30.4b	(*.f64 (-.f64 z y) x)
▶	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
	33.3b	y

Compiler

Compiled 129 to 82 computations (36.4% saved)

localize13.0ms (0.1%)

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)

series12.0ms (0.1%)

Counts

2 → 51

Calls

18 calls:

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

rewrite97.0ms (1.1%)

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))))))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def_binary64`
271×	`fma-neg_binary64`
62×	`distribute-rgt-in_binary64`
44×	`associate-l_binary64`
42×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	504
1	60	384
2	120	348
3	228	348
4	401	348
5	780	348
6	1158	348
7	1387	348
8	1397	348

Stop Event

1×

saturated

Counts

103 → 67

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)

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

localize6.0ms (0.1%)

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

localize10.0ms (0.1%)

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)

localize10.0ms (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)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+.f64 y (*.f64 x z))
1.0ms	y	@	0	(+.f64 y (*.f64 x z))
1.0ms	y	@	-inf	(+.f64 y (*.f64 x z))
0.0ms	x	@	-inf	(+.f64 y (*.f64 x z))
0.0ms	x	@	0	(+.f64 y (*.f64 x z))

rewrite72.0ms (0.9%)

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))))))

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	159
1	9	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

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)

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)

localize9.0ms (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)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.9%)

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)))))))

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

124×	`fma-def_binary64`
69×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
18×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Stop Event

1×

saturated

Counts

62 → 44

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)))

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 x (neg.f64 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 x (neg.f64 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))

eval62.0ms (0.7%)

Compiler: Compiled 1954 to 594 computations (69.6% saved)

prune60.0ms (0.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	170	10	180

Error

Counts

180 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(*.f64 z x)
✓	11.7b	(+.f64 y (*.f64 x z))
✓	22.6b	(-.f64 y (*.f64 y x))
▶	52.3b	(*.f64 x (neg.f64 y))
▶	8.5b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))
▶	11.7b	(fma.f64 z x y)
✓	30.4b	(*.f64 (-.f64 z y) x)
	33.3b	y
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
▶	22.6b	(*.f64 y (-.f64 1 x))

Compiler

Compiled 84 to 55 computations (34.5% saved)

localize10.0ms (0.1%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

133×	`fma-def_binary64`
90×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`associate-r_binary64`
17×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	94
1	13	76
2	30	76
3	46	76
4	64	76
5	128	76
6	253	76
7	359	76
8	457	76
9	533	76

Stop Event

1×

saturated

Counts

29 → 22

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)))

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

localize33.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))
✓	2.4b	(.f64 (-.f64 1 (.f64 x x)) y)
✓	5.7b	(/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x))

Compiler

Compiled 54 to 26 computations (51.9% saved)

series20.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite120.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
589×	`fma-def_binary64`
252×	`fma-neg_binary64`
247×	`pow1/3_binary64`
241×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	269	28
2	4032	28

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 x) y))) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.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 1 (/.f64 (+.f64 1 x) y)) (/.f64 (*.f64 x x) (/.f64 (+.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (/.f64 (+.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (*.f64 y (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 1 (*.f64 x x)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) (sqrt.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 y)) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (-.f64 1 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) 1) (/.f64 y (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 y (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x))) (/.f64 y (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 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 (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 (/.f64 1 (*.f64 (-.f64 1 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 1 x) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (fma.f64 -1 x -1)))))) (#(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 (exp.f64 (*.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 +.f64 y (*.f64 (*.f64 x (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (*.f64 x x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (*.f64 x x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 x x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) y) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) y) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 x x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (*.f64 x (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (*.f64 x (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 x (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 y (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 y (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (*.f64 x (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))) (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 (-.f64 1 x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 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simplify130.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
658×	`times-frac_binary64`
629×	`fma-def_binary64`
491×	`associate-/r/_binary64`
470×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	1151
1	95	1112
2	192	1004
3	456	1004
4	1434	1004
5	3662	1004
6	7662	1004

Stop Event

1×	node limit

Counts

250 → 194

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

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

localize8.0ms (0.1%)

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

eval110.0ms (1.3%)

Compiler: Compiled 3540 to 1918 computations (45.8% saved)

prune63.0ms (0.7%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	216	10	226

Error

Counts

226 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(*.f64 z x)
✓	11.7b	(+.f64 y (*.f64 x z))
✓	22.6b	(-.f64 y (*.f64 y x))
✓	52.3b	(*.f64 x (neg.f64 y))
✓	11.7b	(fma.f64 z x y)
▶	39.0b	(+.f64 (/.f64 (.f64 y (.f64 x (neg.f64 x))) (+.f64 1 x)) (*.f64 x z))
✓	30.4b	(*.f64 (-.f64 z y) x)
	33.3b	y
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	22.6b	(*.f64 y (-.f64 1 x))

Compiler

Compiled 83 to 54 computations (34.9% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 y (.f64 x (neg.f64 x))) (+.f64 1 x)) (*.f64 x z))
✓	5.7b	(/.f64 (.f64 y (.f64 x (neg.f64 x))) (+.f64 1 x))
✓	8.1b	(.f64 y (.f64 x (neg.f64 x)))

Compiler

Compiled 49 to 17 computations (65.3% saved)

series22.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

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

rewrite190.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
497×	`fma-def_binary64`
309×	`pow2_binary64`
303×	`egg-rr`
261×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	263	37
2	4087	37

Stop Event

1×	node limit

Counts

3 → 384

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
597×	`sub-neg_binary64`
460×	`fma-def_binary64`
418×	`distribute-rgt-neg-in_binary64`
373×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	1188
1	193	1138
2	518	1111
3	1797	1047
4	6062	1047

Stop Event

1×	node limit

Counts

468 → 424

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 y (pow.f64 x 3)) (.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (.f64 -1 (*.f64 y (pow.f64 x 4)))))
(+.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 4))))))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x))))
(+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x)))))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x))))
(+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x)))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(*.f64 z x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 y (pow.f64 x 3)) (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z x) (.f64 -1 (.f64 y (pow.f64 x 4))))))
(.f64 (+.f64 z (.f64 -1 y)) x)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) (+.f64 y (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) (+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x))
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (.f64 (+.f64 (.f64 -1 z) y) x))))
(+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (.f64 (+.f64 (.f64 -1 z) y) x)))))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))

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

eval228.0ms (2.7%)

Compiler: Compiled 9238 to 3775 computations (59.1% saved)

prune69.0ms (0.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	0	1	1
Picked	1	0	1
Done	0	8	8
Total	424	10	434

Error

Counts

434 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.7b	(fma.f64 z x y)
	37.3b	(-.f64 (.f64 x z) (/.f64 y (/.f64 (+.f64 x 1) (.f64 x x))))
✓	40.8b	(*.f64 z x)
✓	11.7b	(+.f64 y (*.f64 x z))
✓	22.6b	(-.f64 y (*.f64 y x))
✓	52.3b	(*.f64 x (neg.f64 y))
✓	30.4b	(*.f64 (-.f64 z y) x)
	33.3b	y
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	22.6b	(*.f64 y (-.f64 1 x))

Compiler

Compiled 82 to 53 computations (35.4% saved)

regimes38.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	z
8.0ms	y
8.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
8.0ms	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 124 to 59 computations (52.4% saved)

regimes36.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
8.0ms	x
8.0ms	z
8.0ms	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 118 to 58 computations (50.8% saved)

regimes63.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	y
21.0ms	z
15.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
7.1b	5	`y`
6.4b	3	`z`

Compiler

Compiled 44 to 24 computations (45.5% saved)

bsearch51.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.00026611670553742216	1.7949474361456739
20.0ms	-13330597388.302998	-40793786.56417852

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes346.0ms (4.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

159.0ms	y
95.0ms	x
88.0ms	z

Results

Error	Segments	Branch
7.8b	6	`x`
7.6b	5	`y`
6.4b	3	`z`

Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch153.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
123.0ms	2.211919398067523e-77	1.2982703003671631e-76
30.0ms	-8.769300275088442e-39	-1.3150040862049903e-43

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes273.0ms (3.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

154.0ms	x
76.0ms	y
39.0ms	z

Results

Error	Segments	Branch
7.8b	6	`x`
7.6b	5	`y`
6.4b	3	`z`

Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch55.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.211919398067523e-77	1.2982703003671631e-76
33.0ms	-8.769300275088442e-39	-1.3150040862049903e-43

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes60.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	z
15.0ms	x
13.0ms	y

Results

Error	Segments	Branch
20.7b	3	`x`
13.6b	3	`y`
13.6b	7	`z`

Compiler

Compiled 29 to 18 computations (37.9% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	8.89789429233346e-80	2.372665985168963e-77
18.0ms	-2.3801812722991917e-121	-8.388841303680863e-129

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes127.0ms (1.5%)

Counts

4 → 11

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	x
43.0ms	z
18.0ms	y

Results

Error	Segments	Branch
21.8b	4	`x`
21.7b	5	`y`
21.6b	11	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch629.0ms (7.4%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
104.0ms	6.266328760518166e+161	1.078408700016604e+165
60.0ms	2.0168761596756383e+125	1.224286530593196e+126
176.0ms	2.716351447234775e+76	4.6729143921825026e+83
18.0ms	1.2467689497507308e-16	1.0947399338988043e-15
17.0ms	4.190838602459173e-48	1.3701899965288893e-43
45.0ms	-5.717775777224681e-251	-2.5905837050452736e-256
48.0ms	-2.7202787906946868e-185	-2.9942921249453394e-195
17.0ms	-3.9169128715632526e-19	-7.755790302902469e-26
23.0ms	-1.3295594800096171e+47	-1144596480608.033
122.0ms	-6.7064493270934916e+112	-4.5300377302414854e+111

Compiler

Compiled 366 to 274 computations (25.1% saved)

regimes62.0ms (0.7%)

Counts

3 → 5

Calls

Call 1

Inputs
y
y
(*.f64 z x)

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

Calls

3 calls:

33.0ms	z
17.0ms	y
10.0ms	x

Results

Error	Segments	Branch
23.6b	3	`x`
21.7b	5	`y`
22.7b	9	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch236.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
151.0ms	3.527065832794524e+100	9.159143247700412e+112
22.0ms	7.72570889896901e+55	8.848945708545778e+55
18.0ms	2.372665985168963e-77	8.191024984527882e-75
45.0ms	-2.3801812722991917e-121	-8.388841303680863e-129

Compiler

Compiled 138 to 103 computations (25.4% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
y
y

Outputs
y

Calls

3 calls:

4.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`
33.3b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	274
1	99	274
2	111	274
3	116	274
4	118	274

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -3494536121759301/262144) (.f64 (-.f64 z y) x) (if (<=.f64 x 153405836274611/576460752303423488) (+.f64 y (.f64 x z)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 z -6719456784043525/766247770432944429179173513575154591809369561091801088) (+.f64 y (.f64 x z)) (if (<=.f64 z 1441843004997013/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (-.f64 y (.f64 y x)) (+.f64 y (*.f64 x z))))
(if (<=.f64 z -6719456784043525/766247770432944429179173513575154591809369561091801088) (+.f64 y (.f64 x z)) (if (<=.f64 z 1441843004997013/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (.f64 y (-.f64 1 x)) (+.f64 y (*.f64 x z))))
(if (<=.f64 y -5536025342560765/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 y (-.f64 1 x)) (if (<=.f64 y 371206774519901/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 z x) (*.f64 y (-.f64 1 x))))
(if (<=.f64 z -64999999999999997593782790941888664745398360928585609804707851957359763860442548196672489095453204062214069157888) (.f64 z x) (if (<=.f64 z -132955948000961713132531961801856831637717778432) y (if (<=.f64 z -8135109759269003/20769187434139310514121985316880384) (.f64 z x) (if (<=.f64 z -8328955230043337/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464) y (if (<=.f64 z -7374681819745549/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (.f64 x (neg.f64 y)) (if (<=.f64 z 6896044019344203/1645504557321206042154969182557350504982735865633579863348609024) y (if (<=.f64 z 2528747851995893/20282409603651670423947251286016) (.f64 z x) (if (<=.f64 z 459999999999999989907113085808442362374002360117491786918582842432789099346875383808) y (if (<=.f64 z 204999999999999995870895529207940312591164392904959615998317559066120690390034233808251836771498147644818854221689158671269888) (.f64 z x) (if (<=.f64 z 1050000000000000027445881570205922642880962753348783000154882026297803447740008325652537427804005069074255015176446499215562200029895155305774225188881549426893520896) y (.f64 z x)))))))))))
(if (<=.f64 y -5536025342560765/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) y (if (<=.f64 y 6186503643666283/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 z x) (if (<=.f64 y 77257088989690096614882765611094297953605941074948259840) y (if (<=.f64 y 35999999999999999795436523061065421318314148100795450346250043587036411079088407923366777867001135104) (.f64 z x) y))))
y

Outputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 x -3494536121759301/262144) (.f64 (-.f64 z y) x) (if (<=.f64 x 153405836274611/576460752303423488) (+.f64 y (.f64 x z)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -3494536121759301/262144) (.f64 x (-.f64 z y)) (if (<=.f64 x 153405836274611/576460752303423488) (+.f64 y (.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 z -6719456784043525/766247770432944429179173513575154591809369561091801088) (+.f64 y (.f64 x z)) (if (<=.f64 z 1441843004997013/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (-.f64 y (.f64 y x)) (+.f64 y (*.f64 x z))))
(if (<=.f64 z -6719456784043525/766247770432944429179173513575154591809369561091801088) (+.f64 y (.f64 x z)) (if (<=.f64 z 1441843004997013/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (-.f64 y (.f64 x y)) (+.f64 y (*.f64 x z))))
(if (<=.f64 z -6719456784043525/766247770432944429179173513575154591809369561091801088) (+.f64 y (.f64 x z)) (if (<=.f64 z 1441843004997013/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (.f64 y (-.f64 1 x)) (+.f64 y (*.f64 x z))))
(if (<=.f64 y -5536025342560765/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 y (-.f64 1 x)) (if (<=.f64 y 371206774519901/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 z x) (*.f64 y (-.f64 1 x))))
(if (<=.f64 y -5536025342560765/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 y (-.f64 1 x)) (if (<=.f64 y 371206774519901/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 x z) (*.f64 y (-.f64 1 x))))
(if (<=.f64 z -64999999999999997593782790941888664745398360928585609804707851957359763860442548196672489095453204062214069157888) (.f64 z x) (if (<=.f64 z -132955948000961713132531961801856831637717778432) y (if (<=.f64 z -8135109759269003/20769187434139310514121985316880384) (.f64 z x) (if (<=.f64 z -8328955230043337/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464) y (if (<=.f64 z -7374681819745549/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (.f64 x (neg.f64 y)) (if (<=.f64 z 6896044019344203/1645504557321206042154969182557350504982735865633579863348609024) y (if (<=.f64 z 2528747851995893/20282409603651670423947251286016) (.f64 z x) (if (<=.f64 z 459999999999999989907113085808442362374002360117491786918582842432789099346875383808) y (if (<=.f64 z 204999999999999995870895529207940312591164392904959615998317559066120690390034233808251836771498147644818854221689158671269888) (.f64 z x) (if (<=.f64 z 1050000000000000027445881570205922642880962753348783000154882026297803447740008325652537427804005069074255015176446499215562200029895155305774225188881549426893520896) y (.f64 z x)))))))))))
(if (<=.f64 z -64999999999999997593782790941888664745398360928585609804707851957359763860442548196672489095453204062214069157888) (.f64 x z) (if (<=.f64 z -132955948000961713132531961801856831637717778432) y (if (<=.f64 z -8135109759269003/20769187434139310514121985316880384) (.f64 x z) (if (<=.f64 z -8328955230043337/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464) y (if (<=.f64 z -7374681819745549/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (.f64 x (neg.f64 y)) (if (<=.f64 z 6896044019344203/1645504557321206042154969182557350504982735865633579863348609024) y (if (<=.f64 z 2528747851995893/20282409603651670423947251286016) (.f64 x z) (if (<=.f64 z 459999999999999989907113085808442362374002360117491786918582842432789099346875383808) y (if (<=.f64 z 204999999999999995870895529207940312591164392904959615998317559066120690390034233808251836771498147644818854221689158671269888) (.f64 x z) (if (<=.f64 z 1050000000000000027445881570205922642880962753348783000154882026297803447740008325652537427804005069074255015176446499215562200029895155305774225188881549426893520896) y (.f64 x z)))))))))))
(if (<=.f64 y -5536025342560765/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) y (if (<=.f64 y 6186503643666283/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 z x) (if (<=.f64 y 77257088989690096614882765611094297953605941074948259840) y (if (<=.f64 y 35999999999999999795436523061065421318314148100795450346250043587036411079088407923366777867001135104) (.f64 z x) y))))
(if (<=.f64 y -5536025342560765/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) y (if (<=.f64 y 6186503643666283/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 x z) (if (<=.f64 y 77257088989690096614882765611094297953605941074948259840) y (if (<=.f64 y 35999999999999999795436523061065421318314148100795450346250043587036411079088407923366777867001135104) (.f64 x z) y))))
y

Compiler

Compiled 220 to 122 computations (44.5% saved)

soundness110.0ms (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 197 to 126 computations (36% saved)

end101.0ms (1.2%)

Compiler: Compiled 196 to 88 computations (55.1% saved)

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Details

analyze649.0ms (7.7%)

sample3.0s (35.3%)

preprocess104.0ms (1.2%)

simplify35.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series9.0ms (0.1%)

rewrite80.0ms (0.9%)

simplify53.0ms (0.6%)

localize11.0ms (0.1%)

series10.0ms (0.1%)

rewrite85.0ms (1%)

simplify61.0ms (0.7%)

eval87.0ms (1%)

prune61.0ms (0.7%)

localize13.0ms (0.1%)

series12.0ms (0.1%)

rewrite97.0ms (1.1%)

simplify64.0ms (0.8%)

localize6.0ms (0.1%)

localize10.0ms (0.1%)

localize10.0ms (0.1%)

series7.0ms (0.1%)

rewrite72.0ms (0.9%)

simplify18.0ms (0.2%)

localize9.0ms (0.1%)

series6.0ms (0.1%)

rewrite73.0ms (0.9%)

simplify45.0ms (0.5%)

eval62.0ms (0.7%)

prune60.0ms (0.7%)

localize10.0ms (0.1%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite71.0ms (0.8%)

simplify26.0ms (0.3%)

localize33.0ms (0.4%)

series20.0ms (0.2%)

rewrite120.0ms (1.4%)

simplify130.0ms (1.5%)

localize8.0ms (0.1%)

eval110.0ms (1.3%)

prune63.0ms (0.7%)

localize26.0ms (0.3%)

series22.0ms (0.3%)

rewrite190.0ms (2.2%)

simplify121.0ms (1.4%)

eval228.0ms (2.7%)

prune69.0ms (0.8%)

regimes38.0ms (0.4%)

regimes36.0ms (0.4%)

regimes63.0ms (0.7%)

bsearch51.0ms (0.6%)

regimes346.0ms (4.1%)

bsearch153.0ms (1.8%)

regimes273.0ms (3.2%)

bsearch55.0ms (0.7%)

regimes60.0ms (0.7%)

bsearch36.0ms (0.4%)

regimes127.0ms (1.5%)

bsearch629.0ms (7.4%)

regimes62.0ms (0.7%)

bsearch236.0ms (2.8%)

regimes12.0ms (0.1%)

simplify18.0ms (0.2%)

soundness110.0ms (1.3%)

end101.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160