Details

analyze454.0ms (5.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
15.2%	84.6%	0.2%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample1.9s (23.4%)

Results

1.3s	8250×	body	64	valid
509.0ms	3228×	body	64	invalid
1.0ms	6×	body	128	valid

preprocess61.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

623×	`unsub-neg_binary64`
447×	`distribute-neg-frac_binary64`
353×	`associate-/l/_binary64`
332×	`neg-mul-1_binary64`
318×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	122	154
2	290	154
3	609	154
4	1387	133
5	3618	112
6	7263	112
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 y (/.f64 x (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) x)))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 t (.f64 (*.f64 x 3) y)))
(+.f64 (-.f64 t (/.f64 y (.f64 z 3))) (/.f64 x (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 z (.f64 y 3))) (/.f64 t (.f64 (*.f64 y 3) z)))
(+.f64 (-.f64 x (/.f64 t (.f64 z 3))) (/.f64 y (.f64 (*.f64 z 3) t)))
(+.f64 (-.f64 x (/.f64 y (.f64 t 3))) (/.f64 z (.f64 (*.f64 t 3) y)))

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 (+.f64 x (.f64 -1/3 (/.f64 y z))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (.f64 y z)))))
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
(+.f64 (-.f64 y (/.f64 x (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) x)))
(+.f64 (-.f64 y (/.f64 x (.f64 z 3))) (/.f64 t (.f64 x (*.f64 z 3))))
(+.f64 y (-.f64 (/.f64 t (.f64 z (.f64 x 3))) (/.f64 x (*.f64 z 3))))
(+.f64 y (*.f64 -1/3 (-.f64 (/.f64 x z) (/.f64 (/.f64 t x) z))))
(-.f64 y (*.f64 (/.f64 -1/3 z) (-.f64 (/.f64 t x) x)))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 t (.f64 (*.f64 x 3) y)))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 t (.f64 x (*.f64 y 3))))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 (/.f64 t y) (.f64 x 3)))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 (/.f64 t 3) (.f64 x y)))
(+.f64 z (.f64 -1/3 (-.f64 (/.f64 y x) (/.f64 t (.f64 x y)))))
(+.f64 z (*.f64 (/.f64 -1/3 x) (-.f64 y (/.f64 t y))))
(+.f64 (-.f64 t (/.f64 y (.f64 z 3))) (/.f64 x (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 t (/.f64 y (.f64 z 3))) (/.f64 x (.f64 y (*.f64 z 3))))
(+.f64 t (+.f64 (/.f64 x (.f64 y (.f64 z 3))) (*.f64 -1/3 (/.f64 y z))))
(+.f64 t (.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 x (.f64 y z)))))
(+.f64 t (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 x y))))
(+.f64 (-.f64 x (/.f64 z (.f64 y 3))) (/.f64 t (.f64 (*.f64 y 3) z)))
(+.f64 (/.f64 t (.f64 y (.f64 z 3))) (-.f64 x (/.f64 z (*.f64 y 3))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 z y) (/.f64 t (.f64 y z)))))
(+.f64 x (*.f64 (/.f64 -1/3 y) (-.f64 z (/.f64 t z))))
(+.f64 (-.f64 x (/.f64 t (.f64 z 3))) (/.f64 y (.f64 (*.f64 z 3) t)))
(+.f64 (-.f64 x (/.f64 t (.f64 z 3))) (/.f64 y (.f64 z (*.f64 3 t))))
(+.f64 (-.f64 x (/.f64 t (*.f64 z 3))) (/.f64 (/.f64 (/.f64 y 3) t) z))
(+.f64 (.f64 -1/3 (/.f64 t z)) (-.f64 x (.f64 -1/3 (/.f64 y (*.f64 z t)))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 t z) (/.f64 y (.f64 z t)))))
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 t (/.f64 y t))))
(+.f64 (-.f64 x (/.f64 y (.f64 t 3))) (/.f64 z (.f64 (*.f64 t 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 3 t))) (/.f64 z (.f64 y (*.f64 3 t))))
(+.f64 (-.f64 x (/.f64 (/.f64 y 3) t)) (/.f64 z (.f64 3 (.f64 t y))))
(+.f64 (-.f64 x (/.f64 (/.f64 y 3) t)) (/.f64 z (.f64 t (.f64 y 3))))
(+.f64 (+.f64 x (.f64 -1/3 (/.f64 y t))) (/.f64 z (.f64 y (*.f64 3 t))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 y t) (/.f64 z (.f64 y t)))))
(+.f64 x (*.f64 (/.f64 -1/3 t) (-.f64 y (/.f64 z y))))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

871×	`distribute-rgt-in_binary64`
684×	`div-sub_binary64`
399×	`distribute-neg-frac_binary64`
392×	`sub-neg_binary64`
387×	`neg-mul-1_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	25	22
2	59	22
3	116	22
4	255	20
5	552	16
6	1238	14
7	3482	14
8	4716	14
9	5700	14
10	6649	14
11	7250	14
12	7524	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t y) z) 3))
(+.f64 (+.f64 x (.f64 -1/3 (/.f64 y z))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 x (fma.f64 -1/3 (/.f64 y z) (/.f64 t (.f64 y (.f64 z 3)))))
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	3.5b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 95 to 62 computations (34.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 y (/.f64 t y))
✓	0.4b	(/.f64 -1/3 z)
✓	3.2b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

series11.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	z	@	0	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	y	@	0	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	t	@	0	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	x	@	0	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

rewrite117.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
546×	`log-prod_binary64`
306×	`pow2_binary64`
231×	`fma-def_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	223	25
2	3095	25

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

Inputs
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
(/.f64 -1/3 z)
(-.f64 y (/.f64 t y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2)) (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 2) (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 2) (.f64 x x)) (-.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -1/3 z)) (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 (.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 z -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 z)) 1))))))
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Outputs

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simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1489×	`fma-def_binary64`
719×	`div-sub_binary64`
463×	`fma-neg_binary64`
354×	`times-frac_binary64`
273×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	718
1	53	718
2	108	718
3	189	718
4	351	718
5	678	718
6	1326	718
7	2354	718
8	4920	718
9	6116	718
10	6923	718
11	7413	718
12	7676	718

Stop Event

1×	node limit

Counts

283 → 230

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
y
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
y
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
y
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(+.f64 (*.f64 -1 (/.f64 t y)) y)

Outputs
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(/.f64 (/.f64 1/3 z) (/.f64 y t))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 1/3 (/.f64 (/.f64 t y) z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 y) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(/.f64 y (/.f64 z -1/3))
(/.f64 y (*.f64 z -3))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(/.f64 y (/.f64 z -1/3))
(/.f64 y (*.f64 z -3))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(/.f64 (/.f64 1/3 z) (/.f64 y t))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(/.f64 (/.f64 1/3 z) (/.f64 y t))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(/.f64 (neg.f64 t) y)
(/.f64 t (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
y
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
y
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
y
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(/.f64 (neg.f64 t) y)
(/.f64 t (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(/.f64 (neg.f64 t) y)
(/.f64 t (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) y)
(-.f64 y (/.f64 t y))

prune809.0ms (10.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	222	8	230
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	223	9	232

Error

0.0b

Counts

232 → 9

Alt Table

Status	Error	Program
	4.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	4.6b	(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)
	3.5b	(fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x)
	24.4b	(fma.f64 (/.f64 -1/3 z) (fma.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)) (/.f64 1 (+.f64 y (/.f64 t y))) (fma.f64 (neg.f64 (/.f64 1 y)) t (/.f64 t y))) x)
	24.6b	(fma.f64 t (/.f64 (/.f64 1/3 y) z) x)
	4.0b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
	49.3b	(/.f64 (/.f64 1/3 z) (/.f64 y t))
▶	3.5b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
	3.5b	(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)

Compiler

Compiled 5745 to 2475 computations (56.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 y (/.f64 t y))
✓	0.4b	(*.f64 (/.f64 1 z) -1/3)
✓	3.2b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
0.0ms	y	@	0	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
0.0ms	z	@	inf	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
0.0ms	t	@	-inf	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
0.0ms	y	@	inf	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`prod-diff_binary64`
603×	`log-prod_binary64`
334×	`pow2_binary64`
237×	`fma-def_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	256	18
2	3371	18

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
(*.f64 (/.f64 1 z) -1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2) (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 2) (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 2) (.f64 x x)) (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/3 (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -1/3 z)) 1))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/3 (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 z)) 1))))))

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-def_binary64`
724×	`div-sub_binary64`
469×	`fma-neg_binary64`
358×	`times-frac_binary64`
269×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	619
1	46	619
2	97	619
3	175	619
4	326	619
5	602	619
6	1217	619
7	2280	619
8	4842	619
9	6015	619
10	6803	619
11	7279	619
12	7540	619

Stop Event

1×	node limit

Counts

111 → 64

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)

Outputs
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 1/3 (/.f64 (/.f64 t z) y))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 1/3 (/.f64 (/.f64 t z) y) x)
(fma.f64 1/3 (/.f64 (/.f64 t y) z) x)
(fma.f64 t (/.f64 (/.f64 1/3 y) z) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 1/3 (/.f64 (/.f64 t z) y))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 1/3 (/.f64 (/.f64 t z) y))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)

prune632.0ms (7.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	222	10	232

Error

0.0b

Counts

232 → 10

Alt Table

Status	Error	Program
	24.6b	(fma.f64 t (/.f64 (/.f64 1/3 y) z) x)
	4.6b	(*.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2))
	21.8b	(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
	4.0b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
	3.5b	(fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x)
	24.4b	(fma.f64 (/.f64 -1/3 z) (fma.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)) (/.f64 1 (+.f64 y (/.f64 t y))) (fma.f64 (neg.f64 (/.f64 1 y)) t (/.f64 t y))) x)
	4.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	3.7b	(fma.f64 (.f64 (/.f64 1 z) -1/3) (+.f64 (fma.f64 1 y (neg.f64 (.f64 (.f64 (cbrt.f64 t) (/.f64 1 y)) (pow.f64 (cbrt.f64 t) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 t) (/.f64 1 y))) (pow.f64 (cbrt.f64 t) 2) (.f64 (.f64 (cbrt.f64 t) (/.f64 1 y)) (pow.f64 (cbrt.f64 t) 2)))) x)
	4.0b	(fma.f64 (/.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (-.f64 y (/.f64 t y)) x)
▶	3.5b	(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)

Compiler

Compiled 6096 to 2824 computations (53.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 y (/.f64 t y))
✓	0.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
✓	3.2b	(/.f64 (-.f64 y (/.f64 t y)) z)

series12.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

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

rewrite113.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`prod-diff_binary64`
576×	`log-prod_binary64`
290×	`pow2_binary64`
232×	`fma-def_binary64`
211×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	23
2	3122	23

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

Inputs
(/.f64 (-.f64 y (/.f64 t y)) z)
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y (/.f64 t y)) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z y)))) (sqrt.f64 (/.f64 t (*.f64 z y))) (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y (/.f64 t y)) z) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 z))) (/.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 z)) (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (neg.f64 (/.f64 t (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y (/.f64 t y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (/.f64 1 z) (neg.f64 (*.f64 (/.f64 1 z) (/.f64 t y)))) (fma.f64 (neg.f64 (/.f64 1 z)) (/.f64 t y) (*.f64 (/.f64 1 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 y z) (neg.f64 (*.f64 (/.f64 1 z) (/.f64 t y)))) (fma.f64 (neg.f64 (/.f64 1 z)) (/.f64 t y) (*.f64 (/.f64 1 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) 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simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1441×	`fma-def_binary64`
824×	`fma-neg_binary64`
693×	`div-sub_binary64`
406×	`times-frac_binary64`
303×	`associate-/l/_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	15	648
1	32	630
2	79	630
3	144	630
4	214	630
5	262	630
6	331	630
7	426	612
8	765	612
9	2126	558
10	4939	558
11	6720	558
12	7518	558
13	7724	558
14	7827	558
15	7967	558

Stop Event

1×	node limit

Counts

286 → 249

Calls

Call 1

Inputs
(.f64 -1 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
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(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(.f64 -1 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(.f64 -1 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
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(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))

Outputs
(.f64 -1 (/.f64 t (.f64 y z)))
(neg.f64 (/.f64 t (*.f64 y z)))
(/.f64 (neg.f64 t) (*.f64 y z))
(/.f64 t (*.f64 z (neg.f64 y)))
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(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(/.f64 y z)
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(/.f64 y z)
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
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(/.f64 y z)
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(.f64 -1 (/.f64 t (.f64 y z)))
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(/.f64 (neg.f64 t) (*.f64 y z))
(/.f64 t (*.f64 z (neg.f64 y)))
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(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(.f64 -1 (/.f64 t (.f64 y z)))
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(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 (/.f64 t (.f64 y z)) 1/3)
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 (/.f64 1/3 y) (/.f64 z t))
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(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
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(fma.f64 y (/.f64 -1/3 z) (/.f64 (/.f64 1/3 y) (/.f64 z t)))
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(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
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(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
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(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
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(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
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(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
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(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
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(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 y z) -1/3 (*.f64 (/.f64 t z) (/.f64 1/3 y)))
(fma.f64 (/.f64 y z) -1/3 (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(fma.f64 y (/.f64 -1/3 z) (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (.f64 y z))))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 (/.f64 t (.f64 y z)) 1/3)
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 (/.f64 1/3 y) (/.f64 z t))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(/.f64 t (.f64 y (.f64 z 3)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 y z) -1/3 (*.f64 (/.f64 t z) (/.f64 1/3 y)))
(fma.f64 (/.f64 y z) -1/3 (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(fma.f64 y (/.f64 -1/3 z) (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (.f64 y z))))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 y z) -1/3 (*.f64 (/.f64 t z) (/.f64 1/3 y)))
(fma.f64 (/.f64 y z) -1/3 (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(fma.f64 y (/.f64 -1/3 z) (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (.f64 y z))))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 y z) -1/3 (*.f64 (/.f64 t z) (/.f64 1/3 y)))
(fma.f64 (/.f64 y z) -1/3 (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(fma.f64 y (/.f64 -1/3 z) (/.f64 (/.f64 1/3 y) (/.f64 z t)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (.f64 y z))))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))

prune2.2s (27.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	401	7	408
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	409	9	418

Error

0.0b

Counts

418 → 9

Alt Table

Status	Error	Program
	3.5b	(+.f64 (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)) x)
	3.6b	(+.f64 (.f64 -1/3 (/.f64 (+.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 t y)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 t y))) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (/.f64 t y)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 y) 2))))) z)) x)
	4.8b	(+.f64 (.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (neg.f64 (.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) z)) (/.f64 t 1) (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1))))) x)
	3.5b	(+.f64 (.f64 -1/3 (.f64 (/.f64 1 z) (-.f64 y (/.f64 t y)))) x)
	3.5b	(+.f64 (pow.f64 (/.f64 z (*.f64 (-.f64 y (/.f64 t y)) -1/3)) -1) x)
▶	3.5b	(+.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z) x)
	4.0b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) -1/3)) 3) x)
	4.0b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
	4.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 15247 to 5697 computations (62.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 y (/.f64 t y))
✓	0.3b	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
✓	3.3b	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
0.0ms	y	@	-inf	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
0.0ms	t	@	0	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
0.0ms	t	@	-inf	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
0.0ms	y	@	0	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
550×	`prod-diff_binary64`
329×	`pow-prod-down_binary64`
282×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	204	23
2	3012	23

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)
(*.f64 (-.f64 y (/.f64 t y)) -1/3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y (/.f64 t y)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/3) (*.f64 (/.f64 (neg.f64 t) y) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 y) (*.f64 -1/3 (/.f64 (neg.f64 t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (-.f64 y (/.f64 t y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (-.f64 y (/.f64 t y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 (/.f64 t y) 3)) -1/3) (fma.f64 (/.f64 t y) (+.f64 y (/.f64 t y)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)) -1/3) (+.f64 y (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 (pow.f64 y 3) (pow.f64 (/.f64 t y) 3))) (fma.f64 (/.f64 t y) (+.f64 y (/.f64 t y)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2))) (+.f64 y (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 y (/.f64 t y)) 2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 y (/.f64 t y)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (-.f64 y (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/3 (*.f64 (/.f64 (neg.f64 t) y) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 y (*.f64 -1/3 (/.f64 (neg.f64 t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3)) 1))))))

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-def_binary64`
822×	`fma-neg_binary64`
574×	`div-sub_binary64`
357×	`times-frac_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	792
1	40	792
2	83	774
3	150	654
4	289	654
5	544	654
6	1100	654
7	2084	654
8	4957	654
9	7441	654

Stop Event

1×	node limit

Counts

135 → 87

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
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Outputs
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(fma.f64 1/3 (/.f64 t (*.f64 y z)) (/.f64 y (/.f64 z -1/3)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 y z)))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(*.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(fma.f64 -1/3 (/.f64 y z) (/.f64 (.f64 1/3 t) (.f64 y z)))
(fma.f64 1/3 (/.f64 t (*.f64 y z)) (/.f64 y (/.f64 z -1/3)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 y z)))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(*.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z))
(*.f64 1/3 (/.f64 t y))
(/.f64 (*.f64 1/3 t) y)
(*.f64 t (/.f64 1/3 y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(*.f64 -1/3 y)
(*.f64 y -1/3)
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(*.f64 -1/3 y)
(*.f64 y -1/3)
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(*.f64 -1/3 y)
(*.f64 y -1/3)
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(*.f64 1/3 (/.f64 t y))
(/.f64 (*.f64 1/3 t) y)
(*.f64 t (/.f64 1/3 y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(*.f64 1/3 (/.f64 t y))
(/.f64 (*.f64 1/3 t) y)
(*.f64 t (/.f64 1/3 y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 y) (.f64 1/3 (/.f64 t y)))
(fma.f64 -1/3 y (/.f64 (*.f64 1/3 t) y))
(fma.f64 y -1/3 (/.f64 (*.f64 1/3 t) y))
(*.f64 -1/3 (-.f64 y (/.f64 t y)))
(*.f64 1/3 (-.f64 (/.f64 t y) y))

prune824.0ms (10.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	242	4	246
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	248	7	255

Error

0.0b

Counts

255 → 7

Alt Table

Status	Error	Program
	3.5b	(+.f64 (pow.f64 (*.f64 -3 (/.f64 z (-.f64 y (/.f64 t y)))) -1) x)
	4.0b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3)) 2) (.f64 (cbrt.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3)) (/.f64 1 z))) x)
	4.8b	(+.f64 (.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (neg.f64 (.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) z)) (/.f64 t 1) (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1))))) x)
✓	3.5b	(+.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z) x)
	3.5b	(+.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z)) x)
	4.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	3.5b	(+.f64 (.f64 (-.f64 y (/.f64 t y)) (.f64 -1/3 (/.f64 1 z))) x)

Compiler

Compiled 6132 to 2708 computations (55.8% saved)

regimes164.0ms (2.1%)

Accuracy

Total -58.4b remaining (-21208.2%)

Threshold costs -58.4b (-21208.2%)

Counts

25 → 3

Calls

Call 1

Inputs
(+.f64 (pow.f64 (*.f64 -3 (/.f64 z (-.f64 y (/.f64 t y)))) -1) x)
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3)) 2) (.f64 (cbrt.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3)) (/.f64 1 z))) x)
(+.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z)) x)
(+.f64 (.f64 (-.f64 y (/.f64 t y)) (.f64 -1/3 (/.f64 1 z))) x)
(+.f64 (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)) x)
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 t y)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 t y))) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (/.f64 t y)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 y) 2))))) z)) x)
(+.f64 (.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (neg.f64 (.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) z)) (/.f64 t 1) (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1))))) x)
(+.f64 (.f64 -1/3 (.f64 (/.f64 1 z) (-.f64 y (/.f64 t y)))) x)
(+.f64 (pow.f64 (/.f64 z (*.f64 (-.f64 y (/.f64 t y)) -1/3)) -1) x)
(+.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) -1/3)) 3) x)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2))
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (.f64 (/.f64 1 z) -1/3) (+.f64 (fma.f64 1 y (neg.f64 (.f64 (.f64 (cbrt.f64 t) (/.f64 1 y)) (pow.f64 (cbrt.f64 t) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 t) (/.f64 1 y))) (pow.f64 (cbrt.f64 t) 2) (.f64 (.f64 (cbrt.f64 t) (/.f64 1 y)) (pow.f64 (cbrt.f64 t) 2)))) x)
(fma.f64 (/.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (-.f64 y (/.f64 t y)) x)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)
(fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x)
(fma.f64 (/.f64 -1/3 z) (fma.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)) (/.f64 1 (+.f64 y (/.f64 t y))) (fma.f64 (neg.f64 (/.f64 1 y)) t (/.f64 t y))) x)
(fma.f64 t (/.f64 (/.f64 1/3 y) z) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
(/.f64 (/.f64 1/3 z) (/.f64 y t))
(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Outputs

(+.f64 (*.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) z)) (/.f64 t 1) (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1))))) x)

(+.f64 (pow.f64 (*.f64 -3 (/.f64 z (-.f64 y (/.f64 t y)))) -1) x)

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))

Results

12.0ms	3.5b	`x`
31.0ms	1.0b	`y`
22.0ms	1.2b	`z`
32.0ms	0.3b	`t`
32.0ms	0.5b	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
23.0ms	1.2b	`(*.f64 z 3)`

Compiler

Compiled 496 to 267 computations (46.2% saved)

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Calls

2 calls:

29.0ms	t
10.0ms	t

Steps

Iters	Point		Range
1.0796416003667889e-97	∈ [	1.0796416003667889e-97	,	1.7381424394127193e-89	]
-1e+102	∈ [	-1.4441002368995454e+102	,	-5.8241437369723834e+100	]

Compiler

Compiled 88 to 64 computations (27.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
12×	`*-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	102
1	67	98
2	90	98
3	102	98
4	108	98
5	109	98

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 t -999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880) (+.f64 (*.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) z)) (/.f64 t 1) (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1))))) x) (if (<=.f64 t 4254004502753746944/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 (pow.f64 (*.f64 -3 (/.f64 z (-.f64 y (/.f64 t y)))) -1) x) (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))))

Outputs

(if (<=.f64 t -999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880) (+.f64 (*.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) z)) (/.f64 t 1) (*.f64 (/.f64 (/.f64 1 y) z) (/.f64 t 1))))) x) (if (<=.f64 t 4254004502753746944/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 (pow.f64 (*.f64 -3 (/.f64 z (-.f64 y (/.f64 t y)))) -1) x) (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))))

(if (<=.f64 t -999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880) (+.f64 (*.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (*.f64 (/.f64 (/.f64 1 y) z) (neg.f64 t))) (fma.f64 (/.f64 (neg.f64 (/.f64 1 y)) z) t (*.f64 t (/.f64 (/.f64 1 y) z))))) x) (if (<=.f64 t 519287659027557/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 x (pow.f64 (*.f64 -3 (/.f64 z (-.f64 y (/.f64 t y)))) -1)) (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 y (*.f64 z 3))))))

(if (<=.f64 t -999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880) (+.f64 (*.f64 -1/3 (+.f64 (fma.f64 1 (/.f64 y z) (*.f64 t (/.f64 (/.f64 -1 y) z))) (fma.f64 (/.f64 (/.f64 -1 y) z) t (*.f64 t (/.f64 (/.f64 1 y) z))))) x) (if (<=.f64 t 519287659027557/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 x (pow.f64 (*.f64 -3 (/.f64 z (-.f64 y (/.f64 t y)))) -1)) (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 y (*.f64 z 3))))))

end34.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 142 to 92 computations (35.2% saved)

Details

analyze454.0ms (5.7%)

sample1.9s (23.4%)

preprocess61.0ms (0.8%)

simplify70.0ms (0.9%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series11.0ms (0.1%)

rewrite117.0ms (1.5%)

simplify120.0ms (1.5%)

prune809.0ms (10.2%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite60.0ms (0.8%)

simplify104.0ms (1.3%)

prune632.0ms (7.9%)

localize8.0ms (0.1%)

series12.0ms (0.1%)

rewrite113.0ms (1.4%)

simplify111.0ms (1.4%)

prune2.2s (27.3%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite60.0ms (0.8%)

simplify71.0ms (0.9%)

prune824.0ms (10.4%)

regimes164.0ms (2.1%)

bsearch39.0ms (0.5%)

simplify5.0ms (0.1%)

end34.0ms (0.4%)

Profiling