Details

analyze373.0ms (9.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
14.1%	14%	85.8%	0.2%	0%	0%	0%	11
21.1%	21.1%	78.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.4s (35.9%)

Results

1.2s	8252×	body	256	valid
182.0ms	1203×	body	256	infinite
1.0ms	1×	body	4096	valid
1.0ms	1×	body	2048	valid
1.0ms	2×	body	512	valid

Bogosity

preprocess216.0ms (5.5%)

Algorithm

2×	egg-herbie

Rules

1709×	`fma-neg_binary64`
492×	`fma-def_binary64`
250×	`cancel-sign-sub-inv_binary64`
248×	`unsub-neg_binary64`
239×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	112
1	101	112
2	218	105
3	474	98
4	1168	84
5	2538	84
6	4531	84
7	4826	84
8	4874	84
9	4874	84
10	5862	84
11	5862	84
12	5862	84
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3

Call 2

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
(-.f64 (+.f64 t (.f64 1/8 x)) (/.f64 (.f64 y z) 2))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t))
(-.f64 (fma.f64 1/8 x t) (*.f64 y (/.f64 z 2)))
(fma.f64 1/8 x (fma.f64 y (*.f64 -1/2 z) t))
(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(+.f64 t (-.f64 (*.f64 1/8 y) (/.f64 x (/.f64 2 z))))
(+.f64 t (-.f64 (.f64 1/8 y) (.f64 (/.f64 x 2) z)))
(fma.f64 1/8 y (fma.f64 -1 (*.f64 z (/.f64 x 2)) t))
(-.f64 (fma.f64 1/8 y t) (*.f64 x (/.f64 z 2)))
(fma.f64 1/8 y (fma.f64 z (*.f64 -1/2 x) t))
(fma.f64 1/8 y (fma.f64 x (*.f64 z -1/2) t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(+.f64 t (-.f64 (*.f64 1/8 z) (/.f64 y (/.f64 2 x))))
(+.f64 t (-.f64 (.f64 1/8 z) (.f64 (/.f64 y 2) x)))
(fma.f64 1/8 z (fma.f64 -1 (*.f64 x (/.f64 y 2)) t))
(-.f64 (fma.f64 1/8 z t) (*.f64 x (/.f64 y 2)))
(fma.f64 1/8 z (fma.f64 x (*.f64 -1/2 y) t))
(fma.f64 1/8 z (fma.f64 x (*.f64 y -1/2) t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(+.f64 x (-.f64 (.f64 1/8 t) (/.f64 (.f64 y z) 2)))
(fma.f64 1/8 t (fma.f64 -1 (*.f64 y (/.f64 z 2)) x))
(fma.f64 1/8 t (fma.f64 (/.f64 (neg.f64 y) 2) z x))
(fma.f64 1/8 t (fma.f64 z (*.f64 -1/2 y) x))
(fma.f64 1/8 t (fma.f64 z (*.f64 y -1/2) x))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
(-.f64 (+.f64 t (.f64 1/8 x)) (/.f64 (.f64 y z) 2))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t))
(-.f64 (fma.f64 1/8 x t) (*.f64 y (/.f64 z 2)))
(fma.f64 1/8 x (fma.f64 y (*.f64 -1/2 z) t))
(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(+.f64 y (-.f64 (*.f64 1/8 x) (/.f64 t (/.f64 2 z))))
(+.f64 y (-.f64 (.f64 1/8 x) (.f64 (/.f64 t 2) z)))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 z (/.f64 t 2)) y))
(-.f64 (fma.f64 1/8 x y) (*.f64 z (/.f64 t 2)))
(fma.f64 1/8 x (fma.f64 (*.f64 -1/2 z) t y))
(fma.f64 1/8 x (fma.f64 t (*.f64 z -1/2) y))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)
(+.f64 z (-.f64 (.f64 1/8 x) (/.f64 (.f64 y t) 2)))
(+.f64 z (-.f64 (*.f64 1/8 x) (/.f64 t (/.f64 2 y))))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 t (/.f64 y 2)) z))
(-.f64 (fma.f64 1/8 x z) (*.f64 y (/.f64 t 2)))
(fma.f64 1/8 x (fma.f64 t (*.f64 -1/2 y) z))
(fma.f64 1/8 x (fma.f64 y (*.f64 t -1/2) z))

Symmetry

(sort y z)

Compiler

Compiled 21 to 17 computations (19% saved)

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
318×	`fma-neg_binary64`
114×	`cancel-sign-sub-inv_binary64`
53×	`unsub-neg_binary64`
51×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	103	14
4	236	12
5	456	12
6	731	12
7	1061	12
8	1535	12
9	1633	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (fma.f64 1/8 x (neg.f64 (/.f64 y (/.f64 2 z)))) t)
(+.f64 (fma.f64 1/8 x (/.f64 (neg.f64 y) (/.f64 2 z))) t)
(fma.f64 1/8 x (fma.f64 -1 (*.f64 z (/.f64 y 2)) t))
(-.f64 (fma.f64 1/8 x t) (/.f64 (*.f64 y z) 2))
(fma.f64 z (*.f64 -1/2 y) (fma.f64 1/8 x t))
(fma.f64 1/8 x (fma.f64 -1/2 (*.f64 y z) t))
(fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t))

eval1.0ms (0%)

Compiler: Compiled 26 to 17 computations (34.6% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize38.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series11.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
2.0ms	z	@	-inf	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
1.0ms	x	@	0	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
1.0ms	x	@	inf	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
1.0ms	z	@	inf	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))

rewrite139.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`prod-diff_binary64`
525×	`log-prod_binary64`
298×	`pow2_binary64`
262×	`fma-def_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	253	11
2	3080	11

Stop Event

1×	node limit

Counts

1 → 195

Calls

Call 1

Inputs
(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/8 x) (.f64 (.f64 y z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/8 x) (.f64 (.f64 (.f64 y z) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)) (fma.f64 (.f64 (.f64 y z) -1/2) 1 (.f64 (.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)) (fma.f64 -1/2 (.f64 y z) (.f64 (.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 y z) 1/2))) (cbrt.f64 (.f64 (pow.f64 (.f64 y z) 2) 1/4)) (.f64 (.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)) (+.f64 (.f64 (.f64 y z) -1/2) (.f64 (.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)) (fma.f64 -1 (.f64 (.f64 y z) 1/2) (.f64 (.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 y z) 2) 1/4))) (cbrt.f64 (.f64 (.f64 y z) 1/2)) (.f64 (.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)) (fma.f64 (.f64 y (neg.f64 z)) 1/2 (.f64 (.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) -1/2) (.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 1/8 x) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/8 (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 1/8 x) 1 (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/8) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 x) 1/2) (pow.f64 (.f64 (cbrt.f64 x) 1/2) 2) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 x) 1/2) 2) (.f64 (cbrt.f64 x) 1/2) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/8) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (.f64 1/8 x)) (sqrt.f64 (.f64 1/8 x)) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 1 (/.f64 2 z)) y))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 2 z))) y (.f64 (/.f64 1 (/.f64 2 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 1/8 x) (neg.f64 (.f64 (.f64 z 1/2) y))) (fma.f64 (neg.f64 (.f64 z 1/2)) y (.f64 (.f64 z 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/8 x (neg.f64 (.f64 (.f64 z 1/2) y))) (fma.f64 (neg.f64 (.f64 z 1/2)) y (.f64 (.f64 z 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/8 (neg.f64 (.f64 (.f64 z 1/2) y))) (fma.f64 (neg.f64 (.f64 z 1/2)) y (.f64 (.f64 z 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 1/8 x) 1 (neg.f64 (.f64 (.f64 z 1/2) y))) (fma.f64 (neg.f64 (.f64 z 1/2)) y (.f64 (.f64 z 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/8) (neg.f64 (.f64 (.f64 z 1/2) y))) (fma.f64 (neg.f64 (.f64 z 1/2)) y (.f64 (.f64 z 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 x) 1/2) (pow.f64 (.f64 (cbrt.f64 x) 1/2) 2) (neg.f64 (.f64 (.f64 z 1/2) y))) (fma.f64 (neg.f64 (.f64 z 1/2)) y (.f64 (.f64 z 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 x) 1/2) 2) (.f64 (cbrt.f64 x) 1/2) (neg.f64 (.f64 (.f64 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (neg.f64 z)) 1/2 (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (*.f64 (*.f64 y z) 1/2) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 y z) 1/2) (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2)) (*.f64 (*.f64 x x) 1/64))) (fma.f64 (*.f64 (*.f64 y z) -1/2) 1 (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (*.f64 (*.f64 y z) 1/2) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 y z) 1/2) (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2)) (*.f64 (*.f64 x x) 1/64))) (fma.f64 -1/2 (*.f64 y z) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (*.f64 (*.f64 y z) 1/2) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 y z) 1/2) (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2)) (*.f64 (*.f64 x x) 1/64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y z) 1/2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (*.f64 (*.f64 y z) 1/2) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 y z) 1/2) (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2)) (*.f64 (*.f64 x x) 1/64))) (+.f64 (*.f64 (*.f64 y z) -1/2) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (/.f64 1 (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2))) (fma.f64 (*.f64 (*.f64 y z) -1/2) 1 (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (/.f64 1 (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2))) (fma.f64 -1/2 (*.f64 y z) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (/.f64 1 (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y z) 1/2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (/.f64 1 (fma.f64 1/8 x (*.f64 (*.f64 y z) 1/2))) (+.f64 (*.f64 (*.f64 y z) -1/2) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -1/2)) 2) (cbrt.f64 (*.f64 (*.f64 y z) -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 y z) -1/2)) (sqrt.f64 (*.f64 (*.f64 y z) -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (sqrt.f64 (*.f64 (*.f64 y z) 1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (*.f64 y z) 1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (fma.f64 (*.f64 (*.f64 y z) -1/2) 1 (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (fma.f64 -1/2 (*.f64 y z) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y z) 1/2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 (*.f64 y z) 1/2))) (+.f64 (*.f64 (*.f64 y z) -1/2) (*.f64 (*.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4))) (cbrt.f64 (*.f64 (*.f64 y z) 1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 y z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 y z) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 y z) -1/2) 1))))))

simplify31.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	348
1	17	348
2	28	348
3	34	348

Stop Event

1×

saturated

Counts

231 → 200

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))

Outputs
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))

eval150.0ms (3.8%)

Compiler: Compiled 5422 to 3019 computations (44.3% saved)

prune34.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	4	201

Error

0.0b

Counts

201 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.9b	(+.f64 (*.f64 1/8 x) t)
▶	0.9b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3) t)
▶	23.7b	(+.f64 (.f64 z (.f64 -1/2 y)) t)
▶	0.0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)

Compiler

Compiled 52 to 39 computations (25% saved)

localize7.0ms (0.2%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z (.f64 -1/2 y)) t)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+.f64 (.f64 z (.f64 -1/2 y)) t)
1.0ms	y	@	-inf	(+.f64 (.f64 z (.f64 -1/2 y)) t)
1.0ms	z	@	0	(+.f64 (.f64 z (.f64 -1/2 y)) t)
0.0ms	y	@	0	(+.f64 (.f64 z (.f64 -1/2 y)) t)
0.0ms	t	@	0	(+.f64 (.f64 z (.f64 -1/2 y)) t)

rewrite73.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
832×	`add-log-exp_binary64`
832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
815×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	172	8
2	2257	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 (.f64 z (.f64 -1/2 y)) t)

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

Outputs

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

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	255
1	14	255
2	23	255
3	29	255

Stop Event

1×

saturated

Counts

72 → 40

Calls

Call 1

Inputs
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)

Outputs
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x))
0.0ms	y	@	inf	(+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x))
0.0ms	z	@	inf	(+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x))
0.0ms	y	@	-inf	(+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x))

rewrite73.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
378×	`exp-prod_binary64`
355×	`prod-exp_binary64`
349×	`fma-def_binary64`
316×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	213	11
2	2715	11

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (fma.f64 y (*.f64 z -1/2) (*.f64 -1/8 x))) (/.f64 (*.f64 (*.f64 x x) 1/64) (fma.f64 y (*.f64 z -1/2) (*.f64 -1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) 2) (cbrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) (sqrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 1/512 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3))) (/.f64 1 (fma.f64 (*.f64 1/8 x) (-.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2))) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 (*.f64 x x) 1/64)) (/.f64 1 (fma.f64 y (*.f64 z -1/2) (*.f64 -1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/8 x) (-.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2))) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (fma.f64 (pow.f64 x 3) 1/512 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 -1/8 x)) (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 (*.f64 x x) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/512 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3))) (fma.f64 (*.f64 1/8 x) (-.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2))) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/512 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3))) (fma.f64 (*.f64 x x) 1/64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 (*.f64 y (*.f64 z -1/2)) (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 (*.f64 x x) 1/64)) (fma.f64 y (*.f64 z -1/2) (*.f64 -1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/512 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3)))) (neg.f64 (fma.f64 (*.f64 1/8 x) (-.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2))) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 (*.f64 x x) 1/64))) (neg.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 -1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (-.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/8 x) (-.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2))) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (fma.f64 (pow.f64 x 3) 1/512 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 -1/8 x)) (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 (*.f64 x x) 1/64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))) (sqrt.f64 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z -1/2)))) (pow.f64 (exp.f64 x) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y z)) (+.f64 1 (expm1.f64 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z -1/2)))) (+.f64 1 (expm1.f64 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 x))) (pow.f64 (exp.f64 -1/2) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/8) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 x))) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 y -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y z) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 z -1/2)) 1 (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/8 (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 x) 1 (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 z -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/8) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (*.f64 z -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/8 x)) (pow.f64 (cbrt.f64 (*.f64 1/8 x)) 2) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/8 x)) 2) (cbrt.f64 (*.f64 1/8 x)) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2))) 2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2))) 2) (cbrt.f64 (*.f64 y (*.f64 z -1/2))) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (cbrt.f64 (*.f64 y z)) -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/8) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 z -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 1/8 x)) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 z -1/2))) (sqrt.f64 (*.f64 y (*.f64 z -1/2))) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z -1/2) y (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) z (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 1/8 x))))))

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	348
1	17	348
2	28	348
3	34	348

Stop Event

1×

saturated

Counts

109 → 78

Calls

Call 1

Inputs
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))

Outputs
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 1/8 x (.f64 z (.f64 -1/2 y)))

localize24.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/8 x (.f64 (.f64 y z) -1/2))
✓	0.6b	(cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3)

Compiler

Compiled 60 to 34 computations (43.3% saved)

series36.0ms (0.9%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3)
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3)
3.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3)
2.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3)

rewrite130.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
361×	`exp-prod_binary64`
320×	`prod-exp_binary64`
283×	`pow-prod-down_binary64`
267×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	250	35
2	2555	35

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3)
(cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2)))
(fma.f64 1/8 x (.f64 (.f64 y z) -1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/8 x) 1) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 2) (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) (pow.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) (sqrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))) 1/6) (pow.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))) 5/6))))) (#(struct:change 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#<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z -1/2)))) (pow.f64 (exp.f64 1/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/8) x) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 1/3) (*.f64 2/3 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 1) (*.f64 2/3 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) (*.f64 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 3/2) (log.f64 (sqrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 3/2) (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 x (*.f64 y (*.f64 z -1/2))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 x (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/8 (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 z -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 y -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y z) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 z -1/2)) 1 (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 z -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2))) 2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2))) 2) (cbrt.f64 (*.f64 y (*.f64 z -1/2))) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (cbrt.f64 (*.f64 y z)) -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (*.f64 z -1/2)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 z -1/2))) (sqrt.f64 (*.f64 y (*.f64 z -1/2))) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) -1/2) (*.f64 1/8 x))))) (#(struct:change #<rule 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simplify134.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

607×	`distribute-lft-in_binary64`
607×	`distribute-rgt-in_binary64`
491×	`times-frac_binary64`
401×	`associate-/l*_binary64`
389×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3095
1	976	2801
2	3818	2733

Stop Event

1×	node limit

Counts

219 → 159

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (*.f64 y z)))
(+.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))) (.f64 1/12 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9)))) x) (.f64 -1/2 (.f64 (pow.f64 1 1/3) (.f64 y z))))
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(.f64 -1/2 (.f64 y z))
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(.f64 -1/2 (.f64 y z))
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(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))

Outputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (*.f64 y z)))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))) (.f64 1/12 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9)))) x) (.f64 -1/2 (.f64 (pow.f64 1 1/3) (.f64 y z))))
(fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18))) 1/8) x (.f64 -1/2 (*.f64 y z)))
(fma.f64 -1/2 (.f64 y z) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18))) (*.f64 x 1/8)))
(fma.f64 -1/2 (.f64 y z) (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18)) (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) 1/8)) x))
(+.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))) (.f64 1/12 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9)))) x) (+.f64 (.f64 (+.f64 (.f64 -1/576 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 y z)) 1/9))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 y z)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 1/576 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))) (.f64 -1/288 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9)))))) (.f64 1/288 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 y z)) 1/9))))) (pow.f64 x 2)) (.f64 -1/2 (.f64 (pow.f64 1 1/3) (*.f64 y z)))))
(fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18))) 1/8) x (fma.f64 (fma.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 (/.f64 1 y) z) 1/18) (pow.f64 (/.f64 (/.f64 1 y) z) 1/18))) (fma.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18))) -1/576)) (.f64 (.f64 1/288 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (/.f64 (/.f64 1 y) z) 1/18) (pow.f64 (/.f64 (/.f64 1 y) z) 1/18))))) (.f64 x x) (.f64 -1/2 (.f64 y z))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) 1/8)) x (fma.f64 (fma.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (.f64 y z)) 1/18) (pow.f64 (/.f64 1 (.f64 y z)) 1/18))) (fma.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 -1/2) (.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 z 4)) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y z)) 1/18) (pow.f64 (/.f64 1 (.f64 y z)) 1/18)) 1/288)))) (.f64 x x) (.f64 -1/2 (.f64 y z))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18)) (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) 1/8)) x (fma.f64 (+.f64 (.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (.f64 y z)) (.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (.f64 -1/2 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18)))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (.f64 y z)) 1/18) (pow.f64 (/.f64 1 (.f64 y z)) 1/18))) 1/576)) (.f64 x x) (.f64 -1/2 (*.f64 y z))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))) (.f64 1/12 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9)))) x) (+.f64 (.f64 (+.f64 (.f64 -1/576 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 y z)) 1/9))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 y z)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 1/576 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))) (.f64 -1/288 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9)))))) (.f64 1/288 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 y z)) 1/9))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/2304 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) 1/3)))) (.f64 1/13824 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) 1/3)))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 2) (pow.f64 z 2))) 1/9) (+.f64 (.f64 1/576 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))) (.f64 -1/288 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/9))))))) (+.f64 (.f64 -1/6912 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) 1/3)))) (.f64 (pow.f64 (.f64 1 (.f64 y z)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 y z)) 1/3) (/.f64 (+.f64 (.f64 -1/2304 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) 1/3)))) (.f64 1/13824 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) 1/3)))) (cbrt.f64 -1/2)))) (.f64 1/3456 (.f64 (pow.f64 1 1/9) (/.f64 1 (.f64 y z)))))))))) (pow.f64 x 3)) (.f64 -1/2 (.f64 (pow.f64 1 1/3) (.f64 y z))))))
(fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18))) 1/8) x (fma.f64 (fma.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 (/.f64 1 y) z) 1/18) (pow.f64 (/.f64 (/.f64 1 y) z) 1/18))) (fma.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18))) -1/576)) (.f64 (.f64 1/288 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (/.f64 (/.f64 1 y) z) 1/18) (pow.f64 (/.f64 (/.f64 1 y) z) 1/18))))) (.f64 x x) (fma.f64 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/2304 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (.f64 z z))))) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (.f64 z z)))) 1/13824))) (fma.f64 1/24 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18))) -1/576) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 y y)) (.f64 z z)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 y y)) (.f64 z z)) 1/18)))) (fma.f64 -1/6912 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 1 (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (.f64 z z))))) (.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (.f64 y z))) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 y) z)) (/.f64 (+.f64 (.f64 -1/2304 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (.f64 z z))))) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (.f64 z z)))) 1/13824)) (cbrt.f64 -1/2))) (.f64 (/.f64 (/.f64 1 y) z) 1/3456)))))) (pow.f64 x 3) (.f64 -1/2 (.f64 y z)))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) 1/8)) x (fma.f64 (fma.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (.f64 y z)) 1/18) (pow.f64 (/.f64 1 (.f64 y z)) 1/18))) (fma.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 -1/2) (.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 z 4)) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y z)) 1/18) (pow.f64 (/.f64 1 (.f64 y z)) 1/18)) 1/288)))) (.f64 x x) (fma.f64 (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 y (.f64 y (.f64 z z))))) (pow.f64 (cbrt.f64 -1/2) 2)) -5/13824) (fma.f64 1/24 (.f64 (.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 z 4)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 y (.f64 y (.f64 z z)))) 1/18) (pow.f64 (/.f64 1 (.f64 y (.f64 y (.f64 z z)))) 1/18)))) (fma.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 -1/2) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (.f64 y z)))) (/.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 y (.f64 y (.f64 z z))))) (pow.f64 (cbrt.f64 -1/2) 2)) -5/13824) (cbrt.f64 -1/2)) (/.f64 1/3456 (.f64 y z)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 y (.f64 y (.f64 z z))))) (/.f64 -1/6912 (pow.f64 (cbrt.f64 -1/2) 2)))))) (pow.f64 x 3) (.f64 -1/2 (*.f64 y z)))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 z 4)) 1/18)) (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) 1/8)) x (fma.f64 (+.f64 (.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (.f64 y z)) (.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (.f64 -1/2 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18)))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (.f64 y z)) 1/18) (pow.f64 (/.f64 1 (.f64 y z)) 1/18))) 1/576)) (.f64 x x) (fma.f64 (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (.f64 y y))))) (pow.f64 (cbrt.f64 -1/2) 2)) -5/13824) (fma.f64 1/24 (.f64 (.f64 -1/576 (.f64 (cbrt.f64 (/.f64 1 (.f64 -1/2 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 4))) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (.f64 y y)))) 1/18) (pow.f64 (/.f64 1 (.f64 z (.f64 z (.f64 y y)))) 1/18)))) (fma.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 -1/2) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 y z))) (cbrt.f64 -1/2)) (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (.f64 y y))))) (pow.f64 (cbrt.f64 -1/2) 2)) -5/13824)) (/.f64 1/3456 (.f64 y z)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (.f64 y y))))) (/.f64 -1/6912 (pow.f64 (cbrt.f64 -1/2) 2)))))) (pow.f64 x 3) (.f64 -1/2 (*.f64 y z)))))
(.f64 1/8 (.f64 (pow.f64 1 1/3) x))
(*.f64 x 1/8)
(+.f64 (.f64 1/8 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) (/.f64 z (cbrt.f64 1/4)))) (.f64 -1/12 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (/.f64 z (cbrt.f64 1/4))))) y))
(fma.f64 1/8 x (.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (/.f64 z (cbrt.f64 1/4))) -1/8)))
(fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (.f64 (/.f64 z (cbrt.f64 1/4)) -1/8)) (.f64 x 1/8))
(+.f64 (.f64 1/8 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) (/.f64 z (cbrt.f64 1/4)))) (.f64 -1/12 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) (/.f64 z (cbrt.f64 1/4))))) y) (.f64 (pow.f64 y 2) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 x) 1/9) (/.f64 (pow.f64 z 2) (pow.f64 (cbrt.f64 1/4) 2)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 x) 1/9) (/.f64 (pow.f64 z 2) (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (pow.f64 z 2) (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (pow.f64 z 2) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 (*.f64 1 x) 1/3))))))))
(fma.f64 1/8 x (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (/.f64 z (cbrt.f64 1/4))) -1/8) y (.f64 (.f64 y y) (fma.f64 1/36 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (/.f64 (.f64 z z) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 -1/72 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (/.f64 (.f64 z z) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (.f64 1/2 (.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) -1/36)) (cbrt.f64 x)))))))
(fma.f64 x 1/8 (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (.f64 (/.f64 z (cbrt.f64 1/4)) -1/8)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 (/.f64 (.f64 z z) (pow.f64 (cbrt.f64 1/4) 2)) -1/36)) (.f64 1/2 (cbrt.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (.f64 (pow.f64 (/.f64 1 x) 1/18) (*.f64 z z))) (pow.f64 (cbrt.f64 1/4) 2)) 1/72)))))
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(fma.f64 1/2 (cbrt.f64 x) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (.f64 (/.f64 z (cbrt.f64 1/4)) y) -1/6)))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (cbrt.f64 1/4) 2)))) (+.f64 (.f64 1/2 (pow.f64 (.f64 1 x) 1/3)) (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (.f64 y z) (cbrt.f64 1/4))))))
(fma.f64 -1/18 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 z z)))) (fma.f64 1/2 (cbrt.f64 x) (.f64 -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (/.f64 (.f64 y z) (cbrt.f64 1/4))))))
(fma.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (/.f64 (.f64 y (.f64 y (.f64 z z))) (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 1/2 (cbrt.f64 x) (.f64 -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (/.f64 (*.f64 y z) (cbrt.f64 1/4))))))
(fma.f64 -1/18 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (/.f64 (.f64 z (.f64 z (.f64 y y))) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 1/2 (cbrt.f64 x) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (*.f64 (/.f64 z (cbrt.f64 1/4)) y) -1/6))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (cbrt.f64 1/4) 2)))) (+.f64 (.f64 1/2 (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 3)))) (pow.f64 z 3)))) (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (.f64 y z) (cbrt.f64 1/4)))))))
(fma.f64 -1/18 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 z z)))) (fma.f64 1/2 (cbrt.f64 x) (fma.f64 -4/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 z 3) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (.f64 -1/54 (cbrt.f64 (/.f64 1 (.f64 x x)))) (pow.f64 y 3))))) (.f64 -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (/.f64 (*.f64 y z) (cbrt.f64 1/4)))))))
(fma.f64 -1/18 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (/.f64 (.f64 y (.f64 y (.f64 z z))) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 1/2 (cbrt.f64 x) (fma.f64 -4/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 z 3) (.f64 (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 x x)))) 5/54))) (.f64 -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (/.f64 (*.f64 y z) (cbrt.f64 1/4)))))))
(fma.f64 -1/18 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (/.f64 (.f64 z (.f64 z (.f64 y y))) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 1/2 (cbrt.f64 x) (fma.f64 -4/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 x x)))) 5/54)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (*.f64 (/.f64 z (cbrt.f64 1/4)) y) -1/6)))))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(*.f64 1/8 x)
(*.f64 x 1/8)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(*.f64 1/8 x)
(*.f64 x 1/8)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(*.f64 1/8 x)
(*.f64 x 1/8)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(*.f64 1/8 x)
(*.f64 x 1/8)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 x 1/8))
(fma.f64 (.f64 -1/2 y) z (.f64 x 1/8))

eval252.0ms (6.4%)

Compiler: Compiled 7699 to 5671 computations (26.3% saved)

prune45.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	274	3	277
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	275	6	281

Error

Counts

281 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (fma.f64 (.f64 z -1/2) y (.f64 1/8 x)) t)
✓	0.0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
▶	43.4b	(.f64 -1/2 (.f64 y z))
	43.2b	t
✓	19.9b	(+.f64 (*.f64 1/8 x) t)
✓	23.7b	(+.f64 (.f64 z (.f64 -1/2 y)) t)

Compiler

Compiled 63 to 47 computations (25.4% saved)

localize6.0ms (0.2%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

localize13.0ms (0.3%)

Compiler: Compiled 34 to 21 computations (38.2% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (fma.f64 (.f64 z -1/2) y (.f64 1/8 x)) t)
✓	0.0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
✓	43.4b	(.f64 -1/2 (.f64 y z))
	43.2b	t
✓	19.9b	(+.f64 (*.f64 1/8 x) t)
✓	23.7b	(+.f64 (.f64 z (.f64 -1/2 y)) t)

Compiler

Compiled 63 to 47 computations (25.4% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (fma.f64 (.f64 z -1/2) y (.f64 1/8 x)) t)
✓	0.0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
✓	43.4b	(.f64 -1/2 (.f64 y z))
	43.2b	t
✓	19.9b	(+.f64 (*.f64 1/8 x) t)
✓	23.7b	(+.f64 (.f64 z (.f64 -1/2 y)) t)

Compiler

Compiled 63 to 47 computations (25.4% saved)

regimes86.0ms (2.2%)

Counts

8 → 1

Calls

Call 1

Inputs
t
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 z (.f64 -1/2 y)) t)
(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (fma.f64 (.f64 z -1/2) y (.f64 1/8 x)) t)
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 x (.f64 (.f64 y z) -1/2))) 3) t)

Outputs
(+.f64 (fma.f64 (.f64 z -1/2) y (.f64 1/8 x)) t)

Calls

13 calls:

9.0ms	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
7.0ms	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
7.0ms	(*.f64 (/.f64 1 8) x)
7.0ms	(*.f64 y z)
7.0ms	z

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`t`
0b	1	`(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)`
0b	1	`(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))`
0b	1	`(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))`
0b	1	`(*.f64 (/.f64 1 8) x)`
0b	1	`(*.f64 (/.f64 1 8) x)`
0b	1	`(/.f64 (*.f64 y z) 2)`
0b	1	`(/.f64 (*.f64 y z) 2)`
0b	1	`(*.f64 y z)`
0b	1	`(*.f64 y z)`

Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes70.0ms (1.8%)

Counts

6 → 1

Calls

Call 1

Inputs
t
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 z (.f64 -1/2 y)) t)
(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Outputs
(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)

Calls

12 calls:

6.0ms	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
6.0ms	(*.f64 (/.f64 1 8) x)
6.0ms	y
6.0ms	t
6.0ms	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)`
0.0b	1	`(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))`
0.0b	1	`(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))`
0.0b	1	`(*.f64 (/.f64 1 8) x)`
0.0b	1	`(*.f64 (/.f64 1 8) x)`
0.0b	1	`(/.f64 (*.f64 y z) 2)`
0.0b	1	`(/.f64 (*.f64 y z) 2)`
0.0b	1	`(*.f64 y z)`

Compiler

Compiled 156 to 116 computations (25.6% saved)

regimes95.0ms (2.4%)

Counts

4 → 3

Calls

Call 1

Inputs
t
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 z (.f64 -1/2 y)) t)

Outputs
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 z (.f64 -1/2 y)) t)
(+.f64 (*.f64 1/8 x) t)

Calls

6 calls:

22.0ms	t
19.0ms	y
16.0ms	(*.f64 y z)
14.0ms	(*.f64 y z)
11.0ms	x

Results

Error	Segments	Branch
6.0b	3	`x`
12.6b	5	`y`
12.5b	3	`z`
15.6b	5	`t`
8.6b	3	`(*.f64 y z)`
8.6b	3	`(*.f64 y z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch47.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	8.701876441086613e-16	3.4351757960216424e-12
22.0ms	-4.176540904617672e+57	-1.7545984783040684e+56

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes85.0ms (2.2%)

Counts

3 → 3

Calls

Call 1

Inputs
t
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)

Outputs
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(.f64 -1/2 (.f64 y z))

Calls

5 calls:

21.0ms	z
20.0ms	x
20.0ms	t
14.0ms	y
9.0ms	(*.f64 y z)

Results

Error	Segments	Branch
16.2b	5	`x`
16.6b	4	`y`
15.0b	6	`z`
16.3b	5	`t`
12.5b	3	`(*.f64 y z)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch41.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.6528988588614155e+110	2.673872889501932e+112
21.0ms	-3.796145398528381e+96	-4.380378464927375e+90

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes81.0ms (2.1%)

Accuracy

Total -32.3b remaining (-107.4%)

Threshold costs -32.3b (-107.4%)

Counts

2 → 3

Calls

Call 1

Inputs
t
(.f64 -1/2 (.f64 y z))

Outputs
t
(.f64 -1/2 (.f64 y z))
t

Calls

5 calls:

25.0ms	x
18.0ms	y
15.0ms	z
13.0ms	t
9.0ms	(*.f64 y z)

Results

Error	Segments	Branch
36.6b	8	`x`
32.4b	6	`y`
35.5b	5	`z`
30.1b	3	`t`
32.0b	3	`(*.f64 y z)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

bsearch46.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	34899.71436818363	6857083145.802758
23.0ms	-8.843875633395717e+84	-6.199528840537788e+82

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	127
1	50	127

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 (.f64 z -1/2) y (.f64 1/8 x)) t)
(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
(if (<=.f64 x -4176540904617672216299841638208851619507049728720441966592) (+.f64 (.f64 1/8 x) t) (if (<=.f64 x 8824751114924267/10141204801825835211973625643008) (+.f64 (.f64 z (.f64 -1/2 y)) t) (+.f64 (.f64 1/8 x) t)))
(if (<=.f64 (.f64 y z) -3796145398528381181870513369251693268734031701230160644804954869319582088830053804540867481960448) (.f64 -1/2 (.f64 y z)) (if (<=.f64 (.f64 y z) 265289885886141554826548488500214255877476673201193673683132111042936334587214454213911781375046101866083516416) (+.f64 (.f64 1/8 x) t) (.f64 -1/2 (*.f64 y z))))
(if (<=.f64 t -8843875633395717398142453754802144571502814870907579535947061645944358008912384884736) t (if (<=.f64 t 74946565925545/2147483648) (.f64 -1/2 (.f64 y z)) t))
t

Outputs
(+.f64 (fma.f64 (.f64 z -1/2) y (.f64 1/8 x)) t)
(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
(+.f64 t (+.f64 (.f64 1/8 x) (.f64 -1/2 (*.f64 z y))))
(if (<=.f64 x -4176540904617672216299841638208851619507049728720441966592) (+.f64 (.f64 1/8 x) t) (if (<=.f64 x 8824751114924267/10141204801825835211973625643008) (+.f64 (.f64 z (.f64 -1/2 y)) t) (+.f64 (.f64 1/8 x) t)))
(if (<=.f64 x -4176540904617672216299841638208851619507049728720441966592) (+.f64 (.f64 1/8 x) t) (if (<=.f64 x 8824751114924267/10141204801825835211973625643008) (+.f64 t (.f64 z (.f64 -1/2 y))) (+.f64 (.f64 1/8 x) t)))
(if (<=.f64 (.f64 y z) -3796145398528381181870513369251693268734031701230160644804954869319582088830053804540867481960448) (.f64 -1/2 (.f64 y z)) (if (<=.f64 (.f64 y z) 265289885886141554826548488500214255877476673201193673683132111042936334587214454213911781375046101866083516416) (+.f64 (.f64 1/8 x) t) (.f64 -1/2 (*.f64 y z))))
(if (<=.f64 (.f64 z y) -3796145398528381181870513369251693268734031701230160644804954869319582088830053804540867481960448) (.f64 -1/2 (.f64 z y)) (if (<=.f64 (.f64 z y) 265289885886141554826548488500214255877476673201193673683132111042936334587214454213911781375046101866083516416) (+.f64 (.f64 1/8 x) t) (.f64 -1/2 (*.f64 z y))))
(if (<=.f64 t -8843875633395717398142453754802144571502814870907579535947061645944358008912384884736) t (if (<=.f64 t 74946565925545/2147483648) (.f64 -1/2 (.f64 y z)) t))
(if (<=.f64 t -8843875633395717398142453754802144571502814870907579535947061645944358008912384884736) t (if (<=.f64 t 74946565925545/2147483648) (.f64 -1/2 (.f64 z y)) t))
t

Compiler

Compiled 113 to 76 computations (32.7% saved)

soundness0.0ms (0%)

end57.0ms (1.5%)

Remove: (sort y z)
Compiler: Compiled 121 to 74 computations (38.8% saved)

Details

analyze373.0ms (9.5%)

sample1.4s (35.9%)

preprocess216.0ms (5.5%)

simplify50.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize38.0ms (1%)

series11.0ms (0.3%)

rewrite139.0ms (3.5%)

simplify31.0ms (0.8%)

eval150.0ms (3.8%)

prune34.0ms (0.9%)

localize7.0ms (0.2%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite73.0ms (1.8%)

simplify14.0ms (0.4%)

localize14.0ms (0.4%)

series3.0ms (0.1%)

rewrite73.0ms (1.9%)

simplify16.0ms (0.4%)

localize24.0ms (0.6%)

series36.0ms (0.9%)

rewrite130.0ms (3.3%)

simplify134.0ms (3.4%)

eval252.0ms (6.4%)

prune45.0ms (1.2%)

localize6.0ms (0.2%)

localize13.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes86.0ms (2.2%)

regimes70.0ms (1.8%)

regimes95.0ms (2.4%)

bsearch47.0ms (1.2%)

regimes85.0ms (2.2%)

bsearch41.0ms (1%)

regimes81.0ms (2.1%)

bsearch46.0ms (1.2%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end57.0ms (1.5%)

Profiling