Details

analyze184.0ms (7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample902.0ms (34.3%)

Results

780.0ms	8256×	body	256	valid
109.0ms	1120×	body	256	infinite

Bogosity

preprocess80.0ms (3%)

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)

simplify30.0ms (1.1%)

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 → 4

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 35 to 19 computations (45.7% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

Counts

5 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

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

rewrite61.0ms (2.3%)

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

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z) 1))))) (#(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))) (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))))) (#(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))))))

simplify75.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-neg_binary64`
509×	`unswap-sqr_binary64`
377×	`associate-/l*_binary64`
348×	`times-frac_binary64`
313×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	3127
1	977	3031
2	2893	3001

Stop Event

1×	node limit

Counts

267 → 238

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

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

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series8.0ms (0.3%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(fma.f64 x y (*.f64 (-.f64 x 1) z))
1.0ms	x	@	-inf	(*.f64 (-.f64 x 1) z)
0.0ms	x	@	-inf	(fma.f64 x y (*.f64 (-.f64 x 1) z))
0.0ms	y	@	0	(fma.f64 x y (*.f64 (-.f64 x 1) z))
0.0ms	x	@	inf	(*.f64 (-.f64 x 1) z)

rewrite41.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
744×	`add-log-exp_binary64`
743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
728×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	164	18
2	2033	18

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

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

Outputs

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

simplify50.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-neg_binary64`
469×	`fma-def_binary64`
330×	`log-prod_binary64`
308×	`distribute-rgt-in_binary64`
307×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	850
1	286	847
2	1158	840
3	5720	834

Stop Event

1×	node limit

Counts

88 → 72

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

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

eval62.0ms (2.4%)

Compiler: Compiled 4543 to 1531 computations (66.3% saved)

prune58.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	303	7	310
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	304	8	312

Error

Counts

312 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	27.2b	(fma.f64 x y (*.f64 z x))
▶	11.1b	(fma.f64 x y (neg.f64 z))
	24.5b	(-.f64 (*.f64 z x) z)
▶	11.1b	(-.f64 (*.f64 y x) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
▶	27.2b	(*.f64 (+.f64 y z) x)
▶	38.3b	(*.f64 y x)
▶	35.4b	(neg.f64 z)

Compiler

Compiled 114 to 72 computations (36.8% saved)

localize5.0ms (0.2%)

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

localize3.0ms (0.1%)

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

localize6.0ms (0.2%)

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

localize5.0ms (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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite42.0ms (1.6%)

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)))))))

simplify43.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

609×	`log-prod_binary64`
536×	`fma-def_binary64`
426×	`*-commutative_binary64`
359×	`associate-l_binary64`
308×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	335
1	158	335
2	497	335
3	2943	335
4	6097	335

Stop Event

1×	node limit

Counts

45 → 28

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (1.6%)

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))))))

simplify43.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

960×	`div-sub_binary64`
615×	`fma-neg_binary64`
371×	`fma-def_binary64`
183×	`distribute-rgt-neg-in_binary64`
157×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	700
1	261	660
2	966	660
3	3962	610

Stop Event

1×	node limit

Counts

73 → 45

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

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

eval13.0ms (0.5%)

Compiler: Compiled 786 to 285 computations (63.7% saved)

prune14.0ms (0.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	72	9	81

Error

Counts

81 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.2b	(fma.f64 x y (*.f64 z x))
✓	11.1b	(fma.f64 x y (neg.f64 z))
▶	24.5b	(-.f64 (*.f64 z x) z)
✓	11.1b	(-.f64 (*.f64 y x) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	27.2b	(*.f64 (+.f64 y z) x)
▶	51.2b	(*.f64 z x)
✓	38.3b	(*.f64 y x)
✓	35.4b	(neg.f64 z)

Compiler

Compiled 68 to 43 computations (36.8% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (1.6%)

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))))))

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-neg_binary64`
405×	`fma-def_binary64`
269×	`distribute-rgt-neg-in_binary64`
212×	`distribute-lft-neg-in_binary64`
205×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	644
1	280	604
2	1011	604
3	4485	554

Stop Event

1×	node limit

Counts

62 → 54

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite35.0ms (1.3%)

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 x y (*.f64 z x))

Outputs

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

simplify38.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/l*_binary64`
287×	`fma-neg_binary64`
248×	`fma-def_binary64`
222×	`associate-+l+_binary64`
216×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	428
1	184	425
2	739	421
3	3284	421

Stop Event

1×	node limit

Counts

58 → 31

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

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

eval15.0ms (0.6%)

Compiler: Compiled 994 to 357 computations (64.1% saved)

prune14.0ms (0.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	85	9	94

Error

Counts

94 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.2b	(fma.f64 x y (*.f64 z x))
✓	11.1b	(fma.f64 x y (neg.f64 z))
✓	24.5b	(-.f64 (*.f64 z x) z)
✓	11.1b	(-.f64 (*.f64 y x) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	27.2b	(*.f64 (+.f64 y z) x)
✓	51.2b	(*.f64 z x)
✓	38.3b	(*.f64 y x)
✓	35.4b	(neg.f64 z)

Compiler

Compiled 68 to 43 computations (36.8% saved)

regimes30.0ms (1.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
7.0ms	y
7.0ms	z
6.0ms	x

Results

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

Compiler

Compiled 85 to 40 computations (52.9% saved)

regimes42.0ms (1.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
13.0ms	y
13.0ms	x

Results

Error	Segments	Branch
0.2b	3	`x`
3.9b	3	`y`
6.9b	3	`z`

Compiler

Compiled 38 to 19 computations (50% saved)

bsearch29.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.33563359399123e-9	0.04494996696838322
14.0ms	-182707601377145.4	-103593140490.22963

Results

26.0ms	272×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 324 to 217 computations (33% saved)

regimes53.0ms (2%)

Counts

4 → 5

Calls

Call 1

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

21.0ms	z
17.0ms	x
14.0ms	y

Results

Error	Segments	Branch
11.5b	5	`x`
21.7b	3	`y`
15.9b	5	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch52.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	2.33563359399123e-9	0.04494996696838322
17.0ms	-1.7457821978027997e-205	-3.1302042476379074e-224
8.0ms	-5.376466760338435e-183	-2.686064563774159e-183
12.0ms	-8.229324577432579e-27	-5.066578510758069e-29

Results

47.0ms

496×

body

256

valid

Compiler

Compiled 453 to 339 computations (25.2% saved)

regimes58.0ms (2.2%)

Counts

3 → 11

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
16.0ms	z
9.0ms	y

Results

Error	Segments	Branch
18.6b	11	`x`
24.6b	3	`y`
21.2b	5	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch140.0ms (5.3%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
6.0ms	1.3066641961643895e+134	1.461331903591427e+134
20.0ms	1.509573582271534e+82	4.036490683035051e+92
16.0ms	2.33563359399123e-9	0.04494996696838322
16.0ms	-1.7457821978027997e-205	-3.1302042476379074e-224
11.0ms	-5.376466760338435e-183	-2.686064563774159e-183
16.0ms	-103593140490.22963	-9.194210755224373e-9
9.0ms	-2.747066144826875e+49	-8.343413323085692e+48
10.0ms	-2.43314576780921e+105	-1.2282061996153961e+105
7.0ms	-1.9340070015271387e+172	-1.5015154550351723e+172
28.0ms	-1.0433880875664332e+199	-6.3803314278454425e+187

Results

105.0ms	1088×	body	256	valid
21.0ms	234×	body	256	infinite

Compiler

Compiled 936 to 693 computations (26% saved)

regimes37.0ms (1.4%)

Accuracy

Total -40.9b remaining (-193%)

Threshold costs -40.9b (-193%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
14.0ms	x
9.0ms	y

Results

Error	Segments	Branch
22.4b	5	`x`
24.6b	3	`y`
21.2b	5	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch54.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	2.091759988582298e-68	3.111245405997981e-54
14.0ms	-2.2233776461839144e-94	-3.8917513463218437e-97
8.0ms	-3.6382926000327057e-56	-1.171914661035399e-56
14.0ms	-1.9502634180394183e-16	-3.7956742665685506e-21

Results

49.0ms

496×

body

256

valid

Compiler

Compiled 421 to 323 computations (23.3% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	237
1	79	237
2	83	237
3	84	237

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -105000000000) (.f64 (+.f64 y z) x) (if (<=.f64 x 3170534137668829/72057594037927936) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -6132704929595921/11150372599265311570767859136324180752990208) (.f64 (+.f64 y z) x) (if (<=.f64 x -6458488739636145/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (neg.f64 z) (if (<=.f64 x -480082372980397/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 y x) (if (<=.f64 x 5440166188265831/1208925819614629174706176) (neg.f64 z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -290000000000000013127586916083100634762718631717819730788278804296412072772682188186398773861534267150353319369414156246553222209229026140129539509805101613012689147768746703971876410109198336) (.f64 z x) (if (<=.f64 x -17999999999999998742449867375660556624824978904716736697613641698576644751975058438653643636357492165067090491960056248109549563709576376010260839037534265382730684977643520) (.f64 y x) (if (<=.f64 x -1400000000000000066339319380481226426591264940964336348472312222499638886264973300670146220755724521177088) (.f64 z x) (if (<=.f64 x -27000000000000001021578485387843965183541276311552) (.f64 y x) (if (<=.f64 x -1) (.f64 z x) (if (<=.f64 x -6458488739636145/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (neg.f64 z) (if (<=.f64 x -480082372980397/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 y x) (if (<=.f64 x 6139076427730539/4722366482869645213696) (neg.f64 z) (if (<=.f64 x 23999999999999999026001386952408705555807906151562834552073736235360894150822906212384768) (.f64 y x) (if (<=.f64 x 145000000000000005762648388693391359944785501273310797152046441528842427222204760013381144297546437758160252589780162840316510281400320) (.f64 z x) (*.f64 y x)))))))))))
(if (<=.f64 z -7975367974709495/1329227995784915872903807060280344576) (neg.f64 z) (if (<=.f64 z -7288244142210835/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 y x) (if (<=.f64 z -3475843022505273/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (neg.f64 z) (if (<=.f64 z 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 y x) (neg.f64 z)))))
(neg.f64 z)

Outputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -105000000000) (.f64 (+.f64 y z) x) (if (<=.f64 x 3170534137668829/72057594037927936) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -105000000000) (.f64 x (+.f64 y z)) (if (<=.f64 x 3170534137668829/72057594037927936) (-.f64 (.f64 x y) z) (*.f64 x (+.f64 y z))))
(if (<=.f64 x -6132704929595921/11150372599265311570767859136324180752990208) (.f64 (+.f64 y z) x) (if (<=.f64 x -6458488739636145/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (neg.f64 z) (if (<=.f64 x -480082372980397/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 y x) (if (<=.f64 x 5440166188265831/1208925819614629174706176) (neg.f64 z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -6132704929595921/11150372599265311570767859136324180752990208) (.f64 x (+.f64 y z)) (if (<=.f64 x -6458488739636145/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (neg.f64 z) (if (<=.f64 x -480082372980397/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 x y) (if (<=.f64 x 5440166188265831/1208925819614629174706176) (neg.f64 z) (*.f64 x (+.f64 y z))))))
(if (<=.f64 x -290000000000000013127586916083100634762718631717819730788278804296412072772682188186398773861534267150353319369414156246553222209229026140129539509805101613012689147768746703971876410109198336) (.f64 z x) (if (<=.f64 x -17999999999999998742449867375660556624824978904716736697613641698576644751975058438653643636357492165067090491960056248109549563709576376010260839037534265382730684977643520) (.f64 y x) (if (<=.f64 x -1400000000000000066339319380481226426591264940964336348472312222499638886264973300670146220755724521177088) (.f64 z x) (if (<=.f64 x -27000000000000001021578485387843965183541276311552) (.f64 y x) (if (<=.f64 x -1) (.f64 z x) (if (<=.f64 x -6458488739636145/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (neg.f64 z) (if (<=.f64 x -480082372980397/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 y x) (if (<=.f64 x 6139076427730539/4722366482869645213696) (neg.f64 z) (if (<=.f64 x 23999999999999999026001386952408705555807906151562834552073736235360894150822906212384768) (.f64 y x) (if (<=.f64 x 145000000000000005762648388693391359944785501273310797152046441528842427222204760013381144297546437758160252589780162840316510281400320) (.f64 z x) (*.f64 y x)))))))))))
(if (<=.f64 x -290000000000000013127586916083100634762718631717819730788278804296412072772682188186398773861534267150353319369414156246553222209229026140129539509805101613012689147768746703971876410109198336) (.f64 x z) (if (<=.f64 x -17999999999999998742449867375660556624824978904716736697613641698576644751975058438653643636357492165067090491960056248109549563709576376010260839037534265382730684977643520) (.f64 x y) (if (<=.f64 x -1400000000000000066339319380481226426591264940964336348472312222499638886264973300670146220755724521177088) (.f64 x z) (if (<=.f64 x -27000000000000001021578485387843965183541276311552) (.f64 x y) (if (<=.f64 x -1) (.f64 x z) (if (<=.f64 x -6458488739636145/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (neg.f64 z) (if (<=.f64 x -480082372980397/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 x y) (if (<=.f64 x 6139076427730539/4722366482869645213696) (neg.f64 z) (if (<=.f64 x 23999999999999999026001386952408705555807906151562834552073736235360894150822906212384768) (.f64 x y) (if (<=.f64 x 145000000000000005762648388693391359944785501273310797152046441528842427222204760013381144297546437758160252589780162840316510281400320) (.f64 x z) (*.f64 x y)))))))))))
(if (<=.f64 z -7975367974709495/1329227995784915872903807060280344576) (neg.f64 z) (if (<=.f64 z -7288244142210835/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 y x) (if (<=.f64 z -3475843022505273/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (neg.f64 z) (if (<=.f64 z 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 y x) (neg.f64 z)))))
(if (<=.f64 z -7975367974709495/1329227995784915872903807060280344576) (neg.f64 z) (if (<=.f64 z -7288244142210835/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 x y) (if (<=.f64 z -3475843022505273/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (neg.f64 z) (if (<=.f64 z 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 x y) (neg.f64 z)))))
(neg.f64 z)

Compiler

Compiled 182 to 95 computations (47.8% saved)

soundness54.0ms (2.1%)

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)

end55.0ms (2.1%)

Compiler: Compiled 167 to 70 computations (58.1% saved)

Details

analyze184.0ms (7%)

sample902.0ms (34.3%)

preprocess80.0ms (3%)

simplify30.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.2%)

series7.0ms (0.3%)

rewrite61.0ms (2.3%)

simplify75.0ms (2.8%)

localize9.0ms (0.4%)

series8.0ms (0.3%)

rewrite41.0ms (1.6%)

simplify50.0ms (1.9%)

eval62.0ms (2.4%)

prune58.0ms (2.2%)

localize5.0ms (0.2%)

localize3.0ms (0.1%)

localize6.0ms (0.2%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite42.0ms (1.6%)

simplify43.0ms (1.6%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite43.0ms (1.6%)

simplify43.0ms (1.6%)

eval13.0ms (0.5%)

prune14.0ms (0.5%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (1.6%)

simplify52.0ms (2%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite35.0ms (1.3%)

simplify38.0ms (1.5%)

eval15.0ms (0.6%)

prune14.0ms (0.5%)

regimes30.0ms (1.1%)

regimes42.0ms (1.6%)

bsearch29.0ms (1.1%)

regimes53.0ms (2%)

bsearch52.0ms (2%)

regimes58.0ms (2.2%)

bsearch140.0ms (5.3%)

regimes37.0ms (1.4%)

bsearch54.0ms (2.1%)

simplify10.0ms (0.4%)

soundness54.0ms (2.1%)

end55.0ms (2.1%)

Profiling