Details

analyze274.0ms (6%)

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)

sample1.6s (35%)

Results

1.5s	8256×	body	256	valid
124.0ms	1224×	body	256	invalid

preprocess101.0ms (2.2%)

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)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
✓	0.0b	(*.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	@	0	(+.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 1) z)
1.0ms	x	@	inf	(*.f64 (-.f64 x 1) z)

rewrite74.0ms (1.6%)

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

Outputs
((#(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 (log.f64 (pow.f64 (.f64 (+.f64 x -1) z) 3)) 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))))))
((#(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 x (.f64 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 (+.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 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 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 1 (.f64 (+.f64 x -1) z) (.f64 x y))))) (#(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 (+.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 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 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Outputs

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z))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(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 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 1 (*.f64 (+.f64 x -1) z) (*.f64 x y))))) (#(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 (+.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 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 (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 (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 x)) (*.f64 (cbrt.f64 x) y) (*.f64 (+.f64 x -1) z))))) (#(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 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 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) z) (*.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 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x -1)) (*.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 (+.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 y) (*.f64 (sqrt.f64 y) x) (*.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 (*.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 (cbrt.f64 (*.f64 x x))) (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))))))

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	406
1	54	394
2	120	394
3	298	394
4	693	394
5	1119	394
6	1324	394
7	1347	394

Stop Event

1×

saturated

Counts

162 → 130

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 -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))

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

localize7.0ms (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)

series9.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite83.0ms (1.8%)

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))))))

simplify59.0ms (1.3%)

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)

eval85.0ms (1.8%)

Compiler: Compiled 4884 to 1913 computations (60.8% saved)

prune57.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	331	9	340
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	332	10	342

Error

Counts

342 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(neg.f64 z)
▶	29.6b	(*.f64 (+.f64 y z) x)
▶	10.6b	(-.f64 (*.f64 y x) z)
▶	29.6b	(+.f64 (.f64 x y) (.f64 z x))
	24.0b	(-.f64 (*.f64 z x) z)
	39.5b	(*.f64 y x)
▶	0.0b	(fma.f64 y x (-.f64 (*.f64 x z) z))
	24.0b	(*.f64 (-.f64 x 1) z)
	0.0b	(+.f64 (.f64 x y) (-.f64 (.f64 x z) z))
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 162 to 102 computations (37% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 6 computations (72.7% saved)

series7.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite60.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
773×	`add-log-exp_binary64`
773×	`log1p-expm1-u_binary64`
773×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	151	18
2	2066	18

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

395×	`fma-def_binary64`
240×	`fma-neg_binary64`
59×	`distribute-rgt-in_binary64`
55×	`unsub-neg_binary64`
49×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	478
1	87	478
2	205	478
3	440	478
4	1002	478
5	1298	478
6	1402	478
7	1404	478

Stop Event

1×

saturated

Counts

121 → 80

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

localize6.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite64.0ms (1.4%)

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 y z) x)

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	13	150
2	19	150

Stop Event

1×

saturated

Counts

45 → 25

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))

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))

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)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (1.2%)

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))))))

simplify29.0ms (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)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	149	7
2	2060	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

75 → 44

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

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

eval40.0ms (0.9%)

Compiler: Compiled 2259 to 705 computations (68.8% saved)

prune48.0ms (1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	187	4	191
Fresh	2	2	4
Picked	0	1	1
Done	1	4	5
Total	190	11	201

Error

Counts

201 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(neg.f64 z)
✓	29.6b	(*.f64 (+.f64 y z) x)
✓	10.6b	(-.f64 (*.f64 y x) z)
▶	0.0b	(+.f64 (-.f64 (.f64 x z) z) (.f64 x y))
	29.6b	(fma.f64 y x (*.f64 z x))
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
▶	39.5b	(*.f64 y x)
✓	29.6b	(+.f64 (.f64 x y) (.f64 z x))
▶	24.0b	(-.f64 (*.f64 z x) z)
▶	52.9b	(*.f64 z x)
▶	24.0b	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 139 to 88 computations (36.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`fma-def_binary64`
490×	`log-prod_binary64`
360×	`pow-prod-down_binary64`
321×	`fma-neg_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	182	11
2	2766	11

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

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

Outputs

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

395×	`fma-def_binary64`
240×	`fma-neg_binary64`
59×	`distribute-rgt-in_binary64`
55×	`unsub-neg_binary64`
49×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	320
1	85	320
2	203	320
3	441	320
4	1002	320
5	1296	320
6	1400	320
7	1402	320

Stop Event

1×

saturated

Counts

138 → 119

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 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 (*.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)

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

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1.1%)

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	1573	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z x) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z 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 z 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 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 2) (cbrt.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 z x) z)) (sqrt.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 z x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z))) (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z x z) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z)) (fma.f64 z x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z))) (neg.f64 (fma.f64 z x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 z x) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 z x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 z x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 z x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 z x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (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: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

eval53.0ms (1.2%)

Compiler: Compiled 3305 to 1166 computations (64.7% saved)

prune43.0ms (0.9%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	254	11	265

Error

Counts

265 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(neg.f64 z)
✓	29.6b	(*.f64 (+.f64 y z) x)
✓	10.6b	(-.f64 (*.f64 y x) z)
✓	0.0b	(+.f64 (-.f64 (.f64 x z) z) (.f64 x y))
▶	29.6b	(fma.f64 y x (*.f64 z x))
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	39.5b	(*.f64 y x)
✓	29.6b	(+.f64 (.f64 x y) (.f64 z x))
✓	24.0b	(-.f64 (*.f64 z x) z)
✓	52.9b	(*.f64 z x)
✓	24.0b	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 90 to 57 computations (36.7% saved)

localize7.0ms (0.2%)

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)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (1.2%)

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))))))))

simplify32.0ms (0.7%)

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))

eval5.0ms (0.1%)

Compiler: Compiled 264 to 84 computations (68.2% saved)

prune11.0ms (0.2%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	29	11	40

Error

Counts

40 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(neg.f64 z)
✓	29.6b	(*.f64 (+.f64 y z) x)
✓	10.6b	(-.f64 (*.f64 y x) z)
✓	0.0b	(+.f64 (-.f64 (.f64 x z) z) (.f64 x y))
✓	29.6b	(fma.f64 y x (*.f64 z x))
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	39.5b	(*.f64 y x)
✓	29.6b	(+.f64 (.f64 x y) (.f64 z x))
✓	24.0b	(-.f64 (*.f64 z x) z)
✓	52.9b	(*.f64 z x)
✓	24.0b	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 90 to 57 computations (36.7% saved)

regimes43.0ms (0.9%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
10.0ms	y
9.0ms	x
8.0ms	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 113 to 44 computations (61.1% saved)

regimes74.0ms (1.6%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	x
18.0ms	y
18.0ms	z
17.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) 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 105 to 43 computations (59% saved)

regimes52.0ms (1.1%)

Counts

10 → 1

Calls

Call 1

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

17.0ms	y
15.0ms	x
14.0ms	z

Results

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

Compiler

Compiled 60 to 26 computations (56.7% saved)

regimes134.0ms (2.9%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	y
36.0ms	z
35.0ms	x

Results

Error	Segments	Branch
1.0b	3	`x`
5.5b	5	`y`
6.2b	3	`z`

Compiler

Compiled 53 to 24 computations (54.7% saved)

bsearch55.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	7.437725542128105e-10	3.057637814609522
35.0ms	-76.55260091418698	-0.005735724523951155

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes59.0ms (1.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	y
16.0ms	x
15.0ms	z

Results

Error	Segments	Branch
1.0b	3	`x`
5.5b	5	`y`
6.2b	3	`z`

Compiler

Compiled 46 to 22 computations (52.2% saved)

bsearch36.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	7.437725542128105e-10	3.057637814609522
18.0ms	-76.55260091418698	-0.005735724523951155

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes75.0ms (1.6%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	y
21.0ms	x
21.0ms	z

Results

Error	Segments	Branch
9.3b	5	`x`
20.0b	7	`y`
15.9b	5	`z`

Compiler

Compiled 31 to 17 computations (45.2% saved)

bsearch133.0ms (2.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	7.437725542128105e-10	3.057637814609522
32.0ms	-1.8598063871050298e-174	-3.2635512029339665e-175
33.0ms	-9.717088850848691e-141	-1.1288316088286775e-141
32.0ms	-9.713037785339045e-43	-1.1452471708994842e-46

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes99.0ms (2.2%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	y
32.0ms	z
25.0ms	x

Results

Error	Segments	Branch
17.8b	7	`x`
24.0b	5	`y`
21.1b	3	`z`

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch152.0ms (3.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	7.437725542128105e-10	3.057637814609522
19.0ms	-1.8598063871050298e-174	-3.2635512029339665e-175
19.0ms	-9.717088850848691e-141	-1.1288316088286775e-141
18.0ms	-5.867747587884991e-19	-6.688590999251842e-41
40.0ms	-2.1726078815402392e+134	-4.4663534610396034e+132
31.0ms	-6.028921455008634e+194	-3.3027548750872906e+189

Compiler

Compiled 242 to 173 computations (28.5% saved)

regimes60.0ms (1.3%)

Accuracy

Total -42.8b remaining (-224.2%)

Threshold costs -42.8b (-224.2%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	z
19.0ms	y
16.0ms	x

Results

Error	Segments	Branch
19.1b	5	`x`
24.0b	5	`y`
21.1b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch81.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	7.437725542128105e-10	3.057637814609522
20.0ms	-1.8598063871050298e-174	-3.2635512029339665e-175
21.0ms	-9.717088850848691e-141	-1.1288316088286775e-141
19.0ms	-5.867747587884991e-19	-6.688590999251842e-41

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	258
1	63	258
2	68	258
3	69	258

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 (*.f64 x z) z))
(+.f64 (-.f64 (.f64 x z) z) (.f64 x y))
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -5386910389865231/70368744177664) (+.f64 (.f64 x y) (.f64 z x)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (-.f64 (.f64 y x) z) (.f64 (+.f64 y z) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (+.f64 y z) x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -1524243158455703/1569275433846670190958947355801916604025588861116008628224) (.f64 (+.f64 y z) x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -3349999999999999768198854022657202113286806778694205028778204960303921442847363141578770636342801086825619664664359986561518004358831002058828406667350849662702611417979769527584073157967872) (.f64 y x) (if (<=.f64 x -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656) (.f64 z x) (if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 y x)))))))
(if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 y x)))))
(neg.f64 z)

Outputs
(fma.f64 y x (-.f64 (*.f64 x z) z))
(+.f64 (-.f64 (.f64 x z) z) (.f64 x y))
(+.f64 (-.f64 (.f64 x z) z) (.f64 y x))
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -5386910389865231/70368744177664) (+.f64 (.f64 x y) (.f64 z x)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (-.f64 (.f64 y x) z) (.f64 (+.f64 y z) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (+.f64 (.f64 x z) (.f64 y x)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (-.f64 (.f64 y x) z) (.f64 x (+.f64 y z))))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (+.f64 y z) x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 x (+.f64 y z)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (-.f64 (.f64 y x) z) (*.f64 x (+.f64 y z))))
(if (<=.f64 x -1524243158455703/1569275433846670190958947355801916604025588861116008628224) (.f64 (+.f64 y z) x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -1524243158455703/1569275433846670190958947355801916604025588861116008628224) (.f64 x (+.f64 y z)) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 x (+.f64 y z))))))
(if (<=.f64 x -3349999999999999768198854022657202113286806778694205028778204960303921442847363141578770636342801086825619664664359986561518004358831002058828406667350849662702611417979769527584073157967872) (.f64 y x) (if (<=.f64 x -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656) (.f64 z x) (if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 y x)))))))
(if (<=.f64 x -3349999999999999768198854022657202113286806778694205028778204960303921442847363141578770636342801086825619664664359986561518004358831002058828406667350849662702611417979769527584073157967872) (.f64 y x) (if (<=.f64 x -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656) (.f64 x z) (if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 y x)))))))
(if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (neg.f64 z) (if (<=.f64 x -4143191504609949/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (neg.f64 z) (*.f64 y x)))))
(neg.f64 z)

Compiler

Compiled 206 to 111 computations (46.1% saved)

soundness71.0ms (1.5%)

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)

end69.0ms (1.5%)

Compiler: Compiled 182 to 68 computations (62.6% 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

analyze274.0ms (6%)

sample1.6s (35%)

preprocess101.0ms (2.2%)

simplify33.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite74.0ms (1.6%)

simplify44.0ms (1%)

localize7.0ms (0.2%)

series9.0ms (0.2%)

rewrite83.0ms (1.8%)

simplify59.0ms (1.3%)

eval85.0ms (1.8%)

prune57.0ms (1.2%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite60.0ms (1.3%)

simplify62.0ms (1.4%)

localize6.0ms (0.1%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite64.0ms (1.4%)

simplify11.0ms (0.2%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite54.0ms (1.2%)

simplify29.0ms (0.6%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite61.0ms (1.3%)

simplify28.0ms (0.6%)

eval40.0ms (0.9%)

prune48.0ms (1%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite67.0ms (1.5%)

simplify48.0ms (1%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite51.0ms (1.1%)

simplify22.0ms (0.5%)

eval53.0ms (1.2%)

prune43.0ms (0.9%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite53.0ms (1.2%)

simplify32.0ms (0.7%)

eval5.0ms (0.1%)

prune11.0ms (0.2%)

regimes43.0ms (0.9%)

regimes74.0ms (1.6%)

regimes52.0ms (1.1%)

regimes134.0ms (2.9%)

bsearch55.0ms (1.2%)

regimes59.0ms (1.3%)

bsearch36.0ms (0.8%)

regimes75.0ms (1.6%)

bsearch133.0ms (2.9%)

regimes99.0ms (2.2%)

bsearch152.0ms (3.3%)

regimes60.0ms (1.3%)

bsearch81.0ms (1.7%)

simplify15.0ms (0.3%)

soundness71.0ms (1.5%)

end69.0ms (1.5%)

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