Details

analyze200.0ms (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	60.1%	5.6%	10
41.3%	51.5%	7.2%	11
46.8%	44.1%	9.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (23%)

Results

932.0ms	8256×	body	256	valid
138.0ms	1244×	body	256	invalid

preprocess94.0ms (2%)

Algorithm

2×	egg-herbie

Rules

937×	`fma-neg_binary64`
564×	`fma-def_binary64`
322×	`cancel-sign-sub-inv_binary64`
129×	`associate--r+_binary64`
126×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	42	44
2	71	44
3	124	40
4	195	40
5	276	40
6	420	40
7	665	40
8	1439	40
9	2619	40
10	3083	40
11	3338	40
12	3355	40
13	3355	40
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
252×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
43×	`distribute-rgt-neg-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	46	10
4	65	10
5	90	10
6	140	10
7	224	10
8	477	10
9	849	10
10	1137	10
11	1228	10
12	1233	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 11 computations (42.1% 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	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
▶	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

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

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log-prod_binary64`
414×	`prod-exp_binary64`
376×	`fma-def_binary64`
353×	`pow-prod-down_binary64`
343×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	194	18
2	2654	18

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

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

Outputs

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

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

254×	`fma-neg_binary64`
218×	`fma-def_binary64`
92×	`cancel-sign-sub-inv_binary64`
57×	`distribute-rgt-in_binary64`
46×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	394
1	54	394
2	120	394
3	300	394
4	697	394
5	1125	394
6	1326	394
7	1349	394

Stop Event

1×

saturated

Counts

162 → 129

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite78.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`fma-def_binary64`
437×	`log-prod_binary64`
434×	`prod-exp_binary64`
349×	`pow-prod-down_binary64`
319×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	165	17
2	2566	17

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

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

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

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

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-neg_binary64`
284×	`fma-def_binary64`
66×	`cancel-sign-sub-inv_binary64`
55×	`associate-r_binary64`
48×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	554
1	65	554
2	135	554
3	255	554
4	509	554
5	814	554
6	1220	554
7	1431	554
8	1442	554

Stop Event

1×

saturated

Counts

267 → 210

Calls

Call 1

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

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

eval75.0ms (1.6%)

Compiler: Compiled 4869 to 1910 computations (60.8% saved)

prune57.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	330	9	339
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	332	9	341

Error

Counts

341 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y x (-.f64 (*.f64 x z) z))
	39.7b	(*.f64 y x)
	0.0b	(fma.f64 (+.f64 y z) x (neg.f64 z))
	23.3b	(*.f64 (-.f64 x 1) z)
▶	29.5b	(-.f64 (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (-.f64 y z)) z)
▶	27.0b	(*.f64 (+.f64 z y) x)
▶	13.2b	(-.f64 (*.f64 y x) z)
▶	35.8b	(neg.f64 z)
	27.0b	(+.f64 (.f64 x y) (.f64 z x))

Compiler

Compiled 168 to 102 computations (39.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 6 computations (72.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1572	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

82×	`fma-def_binary64`
58×	`fma-neg_binary64`
20×	`associate-r_binary64`
18×	`unsub-neg_binary64`
17×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	179
1	37	158
2	88	158
3	180	158
4	300	158
5	397	158
6	425	158

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (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)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1776	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	16	234
2	19	234

Stop Event

1×

saturated

Counts

57 → 26

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-def_binary64`
61×	`fma-neg_binary64`
23×	`cancel-sign-sub-inv_binary64`
16×	`unsub-neg_binary64`
15×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221

Stop Event

1×

saturated

Counts

73 → 42

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (-.f64 y z)) z)
✓	8.4b	(.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)
✓	22.4b	(/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (-.f64 y z))

Compiler

Compiled 56 to 9 computations (83.9% saved)

series11.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite129.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`log-prod_binary64`
491×	`fma-def_binary64`
329×	`pow2_binary64`
269×	`fma-neg_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	54
1	232	30
2	3748	30

Stop Event

1×	node limit

Counts

3 → 224

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 y z) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 y z) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y z) (*.f64 (*.f64 (-.f64 y z) x) (/.f64 1 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 1 (/.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (*.f64 x (/.f64 1 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (/.f64 1 (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x)) (/.f64 1 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) 2) (cbrt.f64 (*.f64 (+.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x)) (/.f64 1 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (neg.f64 x)) (/.f64 1 (neg.f64 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 y z)) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y z) 1) (/.f64 (*.f64 (-.f64 y z) x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1) (/.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y z) (cbrt.f64 (pow.f64 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simplify126.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-def_binary64`
768×	`unsub-neg_binary64`
393×	`sub-neg_binary64`
281×	`fma-neg_binary64`
264×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	1298
1	157	1130
2	483	962
3	1330	962
4	3722	962
5	6640	962

Stop Event

1×	node limit

Counts

332 → 255

Calls

Call 1

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

Outputs
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(.f64 -1 (.f64 (pow.f64 z 2) x))
(neg.f64 (.f64 x (.f64 z z)))
(.f64 (.f64 z z) (neg.f64 x))
(.f64 z (.f64 z (neg.f64 x)))
(.f64 x (.f64 z (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (.f64 z x)))))
(neg.f64 (.f64 x (.f64 z z)))
(.f64 (.f64 z z) (neg.f64 x))
(.f64 z (.f64 z (neg.f64 x)))
(.f64 x (.f64 z (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x))))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x))))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x)))))
(.f64 x (.f64 y y))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x))))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x))))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x)))))
(.f64 x (.f64 y y))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x))))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 y (+.f64 (.f64 z x) (.f64 -1 (*.f64 z x))))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(+.f64 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z) (*.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y y))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z) (*.f64 (pow.f64 y 2) x)))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z) (*.f64 (pow.f64 y 2) x)))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 -1 (.f64 (pow.f64 z 2) x))
(neg.f64 (.f64 x (.f64 z z)))
(.f64 (.f64 z z) (neg.f64 x))
(.f64 z (.f64 z (neg.f64 x)))
(.f64 x (.f64 z (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z))
(neg.f64 (.f64 x (.f64 z z)))
(.f64 (.f64 z z) (neg.f64 x))
(.f64 z (.f64 z (neg.f64 x)))
(.f64 x (.f64 z (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z) (*.f64 (pow.f64 y 2) x)))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z) (*.f64 (pow.f64 y 2) x)))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 -1 (.f64 (pow.f64 z 2) x))
(neg.f64 (.f64 x (.f64 z z)))
(.f64 (.f64 z z) (neg.f64 x))
(.f64 z (.f64 z (neg.f64 x)))
(.f64 x (.f64 z (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (.f64 -1 (.f64 (+.f64 (.f64 y x) (.f64 -1 (*.f64 y x))) z)))
(neg.f64 (.f64 x (.f64 z z)))
(.f64 (.f64 z z) (neg.f64 x))
(.f64 z (.f64 z (neg.f64 x)))
(.f64 x (.f64 z (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (.f64 (+.f64 (.f64 y x) (.f64 -1 (.f64 y x))) z))))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 y z) (.f64 (+.f64 y z) x))
(fma.f64 -1 (.f64 x (.f64 z z)) (fma.f64 (.f64 y y) x (.f64 y (.f64 0 (.f64 z x)))))
(-.f64 (fma.f64 z 0 (.f64 x (.f64 y y))) (.f64 z (.f64 z x)))
(.f64 x (fma.f64 (neg.f64 z) z (.f64 y y)))
(.f64 x (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 z x) z)
(*.f64 z (-.f64 x 1))
(fma.f64 z x (neg.f64 z))
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (+.f64 (.f64 z x) (.f64 y x)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 y x) (.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 y x) (.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 (-.f64 x 1) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (-.f64 x 1))
(fma.f64 z x (neg.f64 z))
(+.f64 (.f64 y x) (.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 y x) (.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 y x) (.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(.f64 -1 (.f64 z (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 z x) z)
(*.f64 z (-.f64 x 1))
(fma.f64 z x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (+.f64 1 (.f64 -1 x)))) (.f64 y x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (+.f64 1 (.f64 -1 x)))) (.f64 y x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (+.f64 1 (.f64 -1 x)))) (.f64 y x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 -1 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 -1 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 -1 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(+.f64 (.f64 -1 z) (.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 z y))
(+.f64 (.f64 -1 z) (.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 y z) x))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))

eval110.0ms (2.3%)

Compiler: Compiled 5940 to 1674 computations (71.8% saved)

prune135.0ms (2.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	362	6	368
Fresh	2	2	4
Picked	1	0	1
Done	1	3	4
Total	366	11	377

Error

Counts

377 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.0b	(*.f64 (+.f64 z y) x)
▶	27.0b	(fma.f64 y x (*.f64 z x))
▶	13.2b	(fma.f64 y x (neg.f64 z))
✓	35.8b	(neg.f64 z)
	50.0b	(*.f64 z x)
▶	39.7b	(*.f64 y x)
▶	45.3b	(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 y y)) x) (-.f64 z y))
✓	13.2b	(-.f64 (*.f64 y x) z)
	23.3b	(fma.f64 z x (neg.f64 z))
	27.0b	(+.f64 (.f64 z x) (.f64 y x))
▶	23.3b	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 163 to 102 computations (37.4% saved)

localize16.0ms (0.3%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize8.0ms (0.2%)

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

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize30.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 (.f64 z z) (.f64 y y))
✓	8.4b	(.f64 (-.f64 (.f64 z z) (*.f64 y y)) x)
✓	22.4b	(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 y y)) x) (-.f64 z y))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series26.0ms (0.6%)

Counts

3 → 96

Calls

24 calls:

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

rewrite109.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`prod-diff_binary64`
629×	`log-prod_binary64`
567×	`fma-def_binary64`
225×	`fma-neg_binary64`
212×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	233	30
2	3589	30

Stop Event

1×	node limit

Counts

3 → 323

Calls

Call 1

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

Outputs

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

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

836×	`div-sub_binary64`
509×	`associate-l_binary64`
414×	`fma-neg_binary64`
404×	`associate-r_binary64`
397×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	972
1	52	882
2	109	882
3	264	882
4	1027	882
5	5626	882

Stop Event

1×	node limit

Counts

419 → 343

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1414	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
38×	`distribute-rgt-in_binary64`
34×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	234
1	35	234
2	81	234
3	211	234
4	435	234
5	568	234
6	678	234
7	683	234

Stop Event

1×

saturated

Counts

58 → 29

Calls

Call 1

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

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

eval108.0ms (2.3%)

Compiler: Compiled 8815 to 2436 computations (72.4% saved)

prune64.0ms (1.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	412	1	413
Fresh	1	2	3
Picked	0	1	1
Done	0	7	7
Total	413	11	424

Error

Counts

424 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.0b	(*.f64 (+.f64 z y) x)
✓	27.0b	(fma.f64 y x (*.f64 z x))
✓	13.2b	(fma.f64 y x (neg.f64 z))
✓	35.8b	(neg.f64 z)
▶	50.0b	(*.f64 z x)
✓	39.7b	(*.f64 y x)
▶	27.0b	(+.f64 (.f64 z x) (.f64 y x))
✓	45.3b	(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 y y)) x) (-.f64 z y))
✓	13.2b	(-.f64 (*.f64 y x) z)
▶	23.3b	(fma.f64 z x (neg.f64 z))
✓	23.3b	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 92 to 58 computations (37% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0.1%)

Counts

1 → 18

Calls

9 calls:

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

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
757×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	2106	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-in_binary64`
34×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	31	108
2	76	108
3	210	108
4	434	108
5	567	108
6	677	108
7	682	108

Stop Event

1×

saturated

Counts

59 → 47

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

eval10.0ms (0.2%)

Compiler: Compiled 566 to 175 computations (69.1% saved)

prune13.0ms (0.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	47	11	58

Error

Counts

58 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.0b	(*.f64 (+.f64 z y) x)
✓	27.0b	(fma.f64 y x (*.f64 z x))
✓	13.2b	(fma.f64 y x (neg.f64 z))
✓	35.8b	(neg.f64 z)
✓	50.0b	(*.f64 z x)
✓	39.7b	(*.f64 y x)
✓	27.0b	(+.f64 (.f64 z x) (.f64 y x))
✓	45.3b	(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 y y)) x) (-.f64 z y))
✓	13.2b	(-.f64 (*.f64 y x) z)
✓	23.3b	(fma.f64 z x (neg.f64 z))
✓	23.3b	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 92 to 58 computations (37% saved)

regimes48.0ms (1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	y
11.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
11.0ms	x
10.0ms	z

Results

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

Compiler

Compiled 146 to 57 computations (61% saved)

regimes85.0ms (1.8%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 y z) x (neg.f64 z))

Calls

4 calls:

20.0ms	y
20.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
19.0ms	z
19.0ms	x

Results

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

Compiler

Compiled 138 to 54 computations (60.9% saved)

regimes81.0ms (1.7%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
19.0ms	z
18.0ms	x
18.0ms	y

Results

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

Compiler

Compiled 131 to 53 computations (59.5% saved)

regimes46.0ms (1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
14.0ms	y
13.0ms	x

Results

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

Compiler

Compiled 66 to 27 computations (59.1% saved)

regimes110.0ms (2.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	y
35.0ms	x
34.0ms	z

Results

Error	Segments	Branch
0.7b	3	`x`
6.3b	3	`y`
7.6b	3	`z`

Compiler

Compiled 59 to 24 computations (59.3% saved)

bsearch70.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.1124146480757623e-8	5.244374387152887e-7
37.0ms	-195.2286821300134	-7.452802723478858

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes111.0ms (2.4%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	x
36.0ms	y
28.0ms	z

Results

Error	Segments	Branch
10.7b	5	`x`
12.5b	3	`y`
11.4b	3	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch147.0ms (3.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	1.1124146480757623e-8	5.244374387152887e-7
37.0ms	-1.4082563438601808e-110	-1.2199930086461781e-113
37.0ms	-1.1338017333462276e-97	-5.3422750676843466e-98
37.0ms	-1.6615120486842646e-60	-1.7627493717589956e-65

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes89.0ms (1.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	y
31.0ms	x
24.0ms	z

Results

Error	Segments	Branch
18.3b	7	`x`
14.4b	3	`y`
13.7b	3	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch38.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.037908033216658e-67	6.1372869360244065e-56
19.0ms	-8.165828319937419e-190	-6.034492210676025e-199

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes54.0ms (1.1%)

Counts

3 → 8

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
13.0ms	z
13.0ms	y

Results

Error	Segments	Branch
18.8b	8	`x`
25.2b	3	`y`
24.1b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch184.0ms (3.9%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
19.0ms	1.675138397424248e-6	5.319254274332656e-5
19.0ms	-1.4082563438601808e-110	-1.2199930086461781e-113
33.0ms	-1.1338017333462276e-97	-5.3422750676843466e-98
32.0ms	-1.6615120486842646e-60	-1.7627493717589956e-65
25.0ms	-349256024012.5379	-53772.099815347654
30.0ms	-5.584828184969967e+127	-1.2379398019616946e+124
25.0ms	-1.4107019374640826e+167	-3.1965128649526155e+165

Compiler

Compiled 228 to 163 computations (28.5% saved)

regimes21.0ms (0.5%)

Accuracy

Total -37.8b remaining (-157.4%)

Threshold costs -37.8b (-157.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
24.0b	3	`x`
35.8b	1	`y`
35.8b	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch37.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.675138397424248e-6	5.319254274332656e-5
18.0ms	-0.0581111855796044	-6.251936184623715e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
6×	`*-commutative_binary64`
5×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	257
1	82	257
2	88	257
3	89	257

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 (*.f64 x z) z))
(fma.f64 (+.f64 y z) x (neg.f64 z))
(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -3434499297237349/17592186044416) (.f64 (+.f64 z y) x) (if (<=.f64 x 6724133950881551/604462909807314587353088) (-.f64 (.f64 y x) z) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x -192389951410124416/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (+.f64 z y) x) (if (<=.f64 x -4467406292279086080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (neg.f64 z) (if (<=.f64 x -4766393659880987/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y x) (if (<=.f64 x 6724133950881551/604462909807314587353088) (.f64 (-.f64 x 1) z) (.f64 (+.f64 z y) x)))))
(if (<=.f64 z -8192704527203227/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (.f64 (-.f64 x 1) z) (if (<=.f64 z 576332952497329/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 y x) (*.f64 (-.f64 x 1) z)))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (.f64 z x) (if (<=.f64 x -55000000000000004134596780408501474510928598539382451741560000629677125888332836256549760560376691948554627527136888947967262720) (.f64 y x) (if (<=.f64 x -5722210697421421/16384) (.f64 z x) (if (<=.f64 x -192389951410124416/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 y x) (if (<=.f64 x -4467406292279086080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (neg.f64 z) (if (<=.f64 x -4766393659880987/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y x) (if (<=.f64 x 494413588885265/295147905179352825856) (neg.f64 z) (.f64 z x))))))))
(if (<=.f64 x -1071962168206803456/18446744073709551616) (.f64 z x) (if (<=.f64 x 494413588885265/295147905179352825856) (neg.f64 z) (.f64 z x)))
(neg.f64 z)

Outputs
(fma.f64 y x (-.f64 (*.f64 x z) z))
(fma.f64 (+.f64 y z) x (neg.f64 z))
(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
(+.f64 (.f64 z (+.f64 x -1)) (.f64 y x))
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -3434499297237349/17592186044416) (.f64 (+.f64 z y) x) (if (<=.f64 x 6724133950881551/604462909807314587353088) (-.f64 (.f64 y x) z) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x -3434499297237349/17592186044416) (.f64 x (+.f64 y z)) (if (<=.f64 x 6724133950881551/604462909807314587353088) (-.f64 (.f64 y x) z) (*.f64 x (+.f64 y z))))
(if (<=.f64 x -192389951410124416/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (+.f64 z y) x) (if (<=.f64 x -4467406292279086080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (neg.f64 z) (if (<=.f64 x -4766393659880987/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y x) (if (<=.f64 x 6724133950881551/604462909807314587353088) (.f64 (-.f64 x 1) z) (.f64 (+.f64 z y) x)))))
(if (<=.f64 x -1503046495391597/904625697166532776746648320380374280103671755200316906558262375061821325312) (.f64 x (+.f64 y z)) (if (<=.f64 x -4362701457303795/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (neg.f64 z) (if (<=.f64 x -4766393659880987/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y x) (if (<=.f64 x 6724133950881551/604462909807314587353088) (.f64 z (+.f64 x -1)) (.f64 x (+.f64 y z))))))
(if (<=.f64 z -8192704527203227/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (.f64 (-.f64 x 1) z) (if (<=.f64 z 576332952497329/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 y x) (*.f64 (-.f64 x 1) z)))
(if (<=.f64 z -8192704527203227/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (.f64 z (+.f64 x -1)) (if (<=.f64 z 576332952497329/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 y x) (*.f64 z (+.f64 x -1))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (.f64 z x) (if (<=.f64 x -55000000000000004134596780408501474510928598539382451741560000629677125888332836256549760560376691948554627527136888947967262720) (.f64 y x) (if (<=.f64 x -5722210697421421/16384) (.f64 z x) (if (<=.f64 x -192389951410124416/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 y x) (if (<=.f64 x -4467406292279086080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (neg.f64 z) (if (<=.f64 x -4766393659880987/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y x) (if (<=.f64 x 494413588885265/295147905179352825856) (neg.f64 z) (.f64 z x))))))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (.f64 x z) (if (<=.f64 x -55000000000000004134596780408501474510928598539382451741560000629677125888332836256549760560376691948554627527136888947967262720) (.f64 y x) (if (<=.f64 x -5722210697421421/16384) (.f64 x z) (if (<=.f64 x -1503046495391597/904625697166532776746648320380374280103671755200316906558262375061821325312) (.f64 y x) (if (<=.f64 x -4362701457303795/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (neg.f64 z) (if (<=.f64 x -4766393659880987/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y x) (if (<=.f64 x 494413588885265/295147905179352825856) (neg.f64 z) (.f64 x z))))))))
(if (<=.f64 x -1071962168206803456/18446744073709551616) (.f64 z x) (if (<=.f64 x 494413588885265/295147905179352825856) (neg.f64 z) (.f64 z x)))
(if (<=.f64 x -2093676109778913/36028797018963968) (.f64 x z) (if (<=.f64 x 494413588885265/295147905179352825856) (neg.f64 z) (.f64 x z)))
(neg.f64 z)

Compiler

Compiled 209 to 119 computations (43.1% saved)

soundness79.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
252×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
43×	`distribute-rgt-neg-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	46	10
4	65	10
5	90	10
6	140	10
7	224	10
8	477	10
9	849	10
10	1137	10
11	1228	10
12	1233	10

Stop Event

1×

saturated

Compiler

Compiled 116 to 75 computations (35.3% saved)

end250.0ms (5.3%)

Compiler: Compiled 182 to 77 computations (57.7% saved)

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221

Details

analyze200.0ms (4.3%)

sample1.1s (23%)

preprocess94.0ms (2%)

simplify33.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series8.0ms (0.2%)

rewrite72.0ms (1.5%)

simplify43.0ms (0.9%)

localize8.0ms (0.2%)

series7.0ms (0.1%)

rewrite78.0ms (1.7%)

simplify53.0ms (1.1%)

eval75.0ms (1.6%)

prune57.0ms (1.2%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite49.0ms (1%)

simplify22.0ms (0.5%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite46.0ms (1%)

simplify11.0ms (0.2%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite50.0ms (1.1%)

simplify28.0ms (0.6%)

localize14.0ms (0.3%)

series11.0ms (0.2%)

rewrite129.0ms (2.7%)

simplify126.0ms (2.7%)

eval110.0ms (2.3%)

prune135.0ms (2.9%)

localize16.0ms (0.3%)

localize8.0ms (0.2%)

localize16.0ms (0.3%)

localize30.0ms (0.6%)

series26.0ms (0.6%)

rewrite109.0ms (2.3%)

simplify73.0ms (1.5%)

localize6.0ms (0.1%)

series6.0ms (0.1%)

rewrite48.0ms (1%)

simplify28.0ms (0.6%)

eval108.0ms (2.3%)

prune64.0ms (1.4%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite54.0ms (1.2%)

simplify23.0ms (0.5%)

localize6.0ms (0.1%)

eval10.0ms (0.2%)

prune13.0ms (0.3%)

regimes48.0ms (1%)

regimes85.0ms (1.8%)

regimes81.0ms (1.7%)

regimes46.0ms (1%)

regimes110.0ms (2.3%)

bsearch70.0ms (1.5%)

regimes111.0ms (2.4%)

bsearch147.0ms (3.1%)

regimes89.0ms (1.9%)

bsearch38.0ms (0.8%)

regimes54.0ms (1.1%)

bsearch184.0ms (3.9%)

regimes21.0ms (0.5%)

bsearch37.0ms (0.8%)

simplify14.0ms (0.3%)

soundness79.0ms (1.7%)

end250.0ms (5.3%)

Profiling

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221