Details

analyze1.4s (28.4%)

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
21.6%	77.8%	0.5%	13
25.2%	74.2%	0.6%	14

Compiler

Compiled 20 to 14 computations (30% saved)

sample1.5s (30.2%)

Results

1.1s	8256×	body	128	valid
414.0ms	3172×	body	128	invalid

Compiler

Compiled 40 to 28 computations (30% saved)

preprocess39.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

447×	`distribute-neg-frac_binary64`
318×	`sub-neg_binary64`
281×	`div-sub_binary64`
279×	`fma-def_binary64`
225×	`associate-/l*_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	133
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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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)))))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

587×	`div-sub_binary64`
387×	`fma-def_binary64`
326×	`fma-neg_binary64`
244×	`distribute-neg-frac_binary64`
227×	`associate-/l*_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

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 (0.1%)

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
▶	3.0b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
	5.3b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 95 to 62 computations (34.7% saved)

localize6.0ms (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)
✓	2.8b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

series12.0ms (0.2%)

Counts

3 → 54

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 -1/3 z)
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)

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
118×	`add-sqr-sqrt_binary64`
114×	`*-un-lft-identity_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 → 150

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

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

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
683×	`fma-neg_binary64`
389×	`cancel-sign-sub-inv_binary64`
368×	`div-sub_binary64`
288×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	796
1	64	664
2	133	658
3	235	592
4	415	592
5	747	592
6	1405	592
7	2574	592
8	4666	592

Stop Event

1×	node limit

Counts

204 → 167

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z)
(/.f64 (*.f64 1/3 (-.f64 (/.f64 t y) y)) z)
(/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
(*.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z))
(-.f64 (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
(+.f64 (fma.f64 1/3 (/.f64 t (.f64 y z)) x) (.f64 (/.f64 y z) -1/3))
(+.f64 x (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))))
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
(fma.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y) x)
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
(-.f64 (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
(+.f64 (fma.f64 1/3 (/.f64 t (.f64 y z)) x) (.f64 (/.f64 y z) -1/3))
(+.f64 x (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))))
(+.f64 x (*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)))
(fma.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y) x)
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
(-.f64 (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
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y
y
y
(*.f64 -1 (/.f64 t y))
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prune168.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	161	6	167
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	161	8	169

Error

Counts

169 → 8

Alt Table

Status	Error	Program
	5.4b	(-.f64 (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
	3.5b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
	27.6b	(fma.f64 (/.f64 -1/3 z) (/.f64 1 (/.f64 (+.f64 y (/.f64 t y)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)))) x)
▶	3.0b	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
	3.9b	(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)
✓	3.0b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
	5.3b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	3.1b	(fma.f64 (/.f64 -1/3 z) (+.f64 (fma.f64 y 1 (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))))) x)

Compiler

Compiled 4547 to 2052 computations (54.9% 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 1 z))
✓	2.8b	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.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 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
0.0ms	z	@	-inf	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
0.0ms	z	@	inf	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
0.0ms	t	@	inf	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
0.0ms	t	@	0	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`prod-diff_binary64`
229×	`log1p-udef_binary64`
131×	`add-sqr-sqrt_binary64`
126×	`*-un-lft-identity_binary64`
126×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	257	18
2	3371	18

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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 (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) 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 (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (-.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 (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (.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) 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 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 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 log1p.f64 (expm1.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 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z -1/3))))) (#(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 sqrt.f64 (.f64 (pow.f64 z -2) 1/9))))) (#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))))

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 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) 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 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (-.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 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (*.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) 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 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 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 log1p.f64 (expm1.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 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z -1/3))))) (#(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 sqrt.f64 (*.f64 (pow.f64 z -2) 1/9))))) (#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

487×	`fma-def_binary64`
481×	`fma-neg_binary64`
343×	`div-sub_binary64`
272×	`cancel-sign-sub-inv_binary64`
224×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	823
1	59	691
2	124	685
3	219	619
4	395	619
5	711	619
6	1268	619
7	2119	619
8	3603	619
9	4946	619

Stop Event

1×	node limit

Counts

101 → 55

Calls

Call 1

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

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

prune148.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	163	8	171

Error

Counts

171 → 8

Alt Table

Status	Error	Program
	5.4b	(-.f64 (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
	3.5b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
	27.6b	(fma.f64 (/.f64 -1/3 z) (/.f64 1 (/.f64 (+.f64 y (/.f64 t y)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)))) x)
✓	3.0b	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
	3.9b	(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)
✓	3.0b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
	5.3b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	3.1b	(fma.f64 (/.f64 -1/3 z) (+.f64 (fma.f64 y 1 (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))))) x)

Compiler

Compiled 4685 to 2222 computations (52.6% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 y)
✓	2.8b	(fma.f64 (/.f64 -1/3 z) (+.f64 (fma.f64 y 1 (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))))) x)
✓	9.0b	(cbrt.f64 (/.f64 t y))
✓	54.2b	(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))))

series31.0ms (0.6%)

Counts

4 → 39

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(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))))
3.0ms	x	@	0	(fma.f64 (/.f64 -1/3 z) (+.f64 (fma.f64 y 1 (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))))) x)
3.0ms	t	@	-inf	(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))))
3.0ms	z	@	0	(fma.f64 (/.f64 -1/3 z) (+.f64 (fma.f64 y 1 (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))))) x)
2.0ms	y	@	0	(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))))

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

237×	`add-sqr-sqrt_binary64`
231×	`pow1_binary64`
229×	`*-un-lft-identity_binary64`
220×	`add-cbrt-cube_binary64`
219×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	489	46

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary64`
634×	`fma-neg_binary64`
379×	`cancel-sign-sub-inv_binary64`
329×	`associate-/l*_binary64`
295×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	496
1	69	424
2	155	412
3	281	376
4	491	376
5	839	376
6	1511	376
7	2725	376
8	4911	376

Stop Event

1×	node limit

Counts

130 → 104

Calls

Call 1

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

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

prune298.0ms (5.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	218	8	226

Error

Counts

226 → 8

Alt Table

Status	Error	Program
	5.4b	(-.f64 (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
▶	3.5b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
	27.6b	(fma.f64 (/.f64 -1/3 z) (/.f64 1 (/.f64 (+.f64 y (/.f64 t y)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)))) x)
✓	3.0b	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
	3.9b	(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)
✓	3.0b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
	5.3b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
✓	3.1b	(fma.f64 (/.f64 -1/3 z) (+.f64 (fma.f64 y 1 (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))))) x)

Compiler

Compiled 11220 to 5550 computations (50.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 -1/3 z)
✓	0.6b	(cbrt.f64 (/.f64 -1/3 z))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3)
✓	2.8b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)

series22.0ms (0.4%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
4.0ms	t	@	0	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
2.0ms	z	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
2.0ms	z	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
2.0ms	y	@	0	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`prod-diff_binary64`
238×	`log1p-udef_binary64`
137×	`add-sqr-sqrt_binary64`
131×	`pow1_binary64`
130×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	292	24
2	3583	24

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

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 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) 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)) (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 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (-.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 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (*.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) 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 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 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 log1p.f64 (expm1.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 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 z)) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/3 z))) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/3 z) 1/6) (*.f64 (pow.f64 (/.f64 -1/3 z) 1/6) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2))))))) (#(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 (pow.f64 z -1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2))) 3) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -1/3 z) 1/6) 3) (pow.f64 (pow.f64 (/.f64 -1/3 z) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)) 1) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)) (pow.f64 (/.f64 -1/3 z) 1/6)) (pow.f64 (/.f64 -1/3 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 z -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 -1/3) 3) 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 /.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)) (cbrt.f64 -1/3)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1/3 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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 -1/3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/3 z))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/3 z))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2))) (cbrt.f64 (cbrt.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/3) (cbrt.f64 (pow.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/3) (pow.f64 (pow.f64 z -1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/3) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/3 z) 1/6) (pow.f64 (/.f64 -1/3 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 1/3) (pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 z) (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/3) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 -1/3)) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/3 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 -1/3 z))))))))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-neg_binary64`
427×	`fma-def_binary64`
290×	`div-sub_binary64`
266×	`associate-/l*_binary64`
213×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	586
1	43	562
2	93	532
3	173	481
4	315	433
5	586	433
6	1077	433
7	1796	433
8	3019	433
9	4826	433

Stop Event

1×	node limit

Counts

127 → 101

Calls

Call 1

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

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

prune98.0ms (1.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	123	8	131

Error

Counts

131 → 8

Alt Table

Status	Error	Program
	5.4b	(-.f64 (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))
✓	3.5b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3) (-.f64 y (/.f64 t y)) x)
	27.6b	(fma.f64 (/.f64 -1/3 z) (/.f64 1 (/.f64 (+.f64 y (/.f64 t y)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 t y) 2)))) x)
✓	3.0b	(fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x)
	3.9b	(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)
✓	3.0b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
	5.3b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
✓	3.1b	(fma.f64 (/.f64 -1/3 z) (+.f64 (fma.f64 y 1 (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))))) x)

Compiler

Compiled 2093 to 1103 computations (47.3% saved)

regimes585.0ms (11.5%)

Accuracy

Total 0.8b remaining (95.8%)

Threshold costs 0.8b (95.8%)

Counts

68 → 3

Compiler

Compiled 1184 to 560 computations (52.7% saved)

bsearch46.0ms (0.9%)

Algorithm

2×	binary-search

Calls

2 calls:

37.0ms	t
8.0ms	t

Steps

Iters	Point		Range
1e-65	∈ [	5.835359506602268e-70	,	1.1895171767868642e-63	]
-6.5e+124	∈ [	-4.619307061469717e+136	,	-6.392658239626868e+124	]

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	72
1	57	72
2	76	72
3	89	72
4	98	72
5	101	72

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 t -65000000000000000752906703891737079700157038833673365695187805574611812695924878406507287369643411806727049920332496875028480) (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) (if (<=.f64 t 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (+.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x) (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))))

Outputs

(if (<=.f64 t -65000000000000000752906703891737079700157038833673365695187805574611812695924878406507287369643411806727049920332496875028480) (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) (if (<=.f64 t 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (+.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x) (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z)))))

(if (<=.f64 t -65000000000000000752906703891737079700157038833673365695187805574611812695924878406507287369643411806727049920332496875028480) (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 y (*.f64 z 3)))) (if (<=.f64 t 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 (+.f64 x (*.f64 1/3 (/.f64 t (*.f64 y z)))) (*.f64 -1/3 (/.f64 y z)))))

end126.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 291 to 188 computations (35.4% saved)

Details

analyze1.4s (28.4%)

sample1.5s (30.2%)

preprocess39.0ms (0.8%)

simplify34.0ms (0.7%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series12.0ms (0.2%)

rewrite65.0ms (1.3%)

simplify54.0ms (1.1%)

prune168.0ms (3.3%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite56.0ms (1.1%)

simplify62.0ms (1.2%)

prune148.0ms (2.9%)

localize20.0ms (0.4%)

series31.0ms (0.6%)

rewrite34.0ms (0.7%)

simplify47.0ms (0.9%)

prune298.0ms (5.9%)

localize9.0ms (0.2%)

series22.0ms (0.4%)

rewrite59.0ms (1.2%)

simplify64.0ms (1.3%)

prune98.0ms (1.9%)

regimes585.0ms (11.5%)

bsearch46.0ms (0.9%)

simplify4.0ms (0.1%)

end126.0ms (2.5%)

Profiling