Details

analyze523.0ms (14.2%)

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	85.8%	0.2%	11
21.1%	78.8%	0.2%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.8s (48.8%)

Results

1.5s	8254×	body	256	valid
288.0ms	1142×	body	256	invalid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

preprocess186.0ms (5.1%)

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)

simplify36.0ms (1%)

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)

prune1.0ms (0%)

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

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 51 to 32 computations (37.3% saved)

series8.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (*.f64 y z) 2)
1.0ms	y	@	0	(-.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))

rewrite102.0ms (2.8%)

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	20
1	253	18
2	3080	18

Stop Event

1×	node limit

Counts

2 → 229

Calls

Call 1

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

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

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	516
1	22	516
2	40	516
3	48	516

Stop Event

1×

saturated

Counts

289 → 234

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))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))

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

eval109.0ms (3%)

Compiler: Compiled 5985 to 3377 computations (43.6% saved)

prune39.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	232	3	235

Error

Counts

235 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
▶	24.8b	(+.f64 (.f64 y (.f64 -1/2 z)) t)
▶	15.0b	(+.f64 (*.f64 1/8 x) t)

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize7.0ms (0.2%)

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (1.6%)

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

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

Outputs

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

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 22 computations (46.3% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite80.0ms (2.2%)

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	18
1	213	18
2	2715	18

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

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))))))) 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(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))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 z -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 z -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 z -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 z -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 z -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 z -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 (*.f64 y z) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z -1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z -1/2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 z -1/2)) (*.f64 (log.f64 y) 1)))))))

simplify21.0ms (0.6%)

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	516
1	17	516
2	28	516
3	34	516

Stop Event

1×

saturated

Counts

160 → 105

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

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

eval52.0ms (1.4%)

Compiler: Compiled 2325 to 1526 computations (34.4% saved)

prune26.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	5	148

Error

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.0b	(+.f64 (*.f64 1/8 x) t)
	39.7b	t
✓	0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
✓	24.8b	(+.f64 (.f64 y (.f64 -1/2 z)) t)
▶	47.5b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 49 to 37 computations (24.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1394	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

eval2.0ms (0.1%)

Compiler: Compiled 89 to 57 computations (36% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	11	5	16

Error

Counts

16 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.0b	(+.f64 (*.f64 1/8 x) t)
	39.7b	t
✓	0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
✓	24.8b	(+.f64 (.f64 y (.f64 -1/2 z)) t)
✓	47.5b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 49 to 37 computations (24.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.0b	(+.f64 (*.f64 1/8 x) t)
	39.7b	t
✓	0b	(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
✓	24.8b	(+.f64 (.f64 y (.f64 -1/2 z)) t)
✓	47.5b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes62.0ms (1.7%)

Counts

6 → 1

Calls

Call 1

Inputs
t
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 y (.f64 -1/2 z)) 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	z
5.0ms	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
5.0ms	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
5.0ms	(*.f64 y z)
5.0ms	(/.f64 (*.f64 y z) 2)

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)`

Compiler

Compiled 156 to 116 computations (25.6% saved)

regimes82.0ms (2.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	t
14.0ms	(*.f64 y z)
14.0ms	(*.f64 y z)
12.0ms	x
12.0ms	z

Results

Error	Segments	Branch
5.2b	3	`x`
9.7b	3	`y`
9.2b	3	`z`
13.6b	3	`t`
6.0b	3	`(*.f64 y z)`
6.0b	3	`(*.f64 y z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch46.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	245513750201185.4	1.4238872757714234e+21
22.0ms	-6.400776139917759e-106	-1.9931237902417695e-107

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes70.0ms (1.9%)

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:

20.0ms	z
17.0ms	x
11.0ms	t
10.0ms	y
10.0ms	(*.f64 y z)

Results

Error	Segments	Branch
11.1b	5	`x`
12.1b	3	`y`
10.6b	6	`z`
13.6b	3	`t`
10.0b	3	`(*.f64 y z)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch46.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	7.1875901071827e+110	3.213170988734657e+113
21.0ms	-1.758284875846781e+114	-3.741029231973625e+102

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes67.0ms (1.8%)

Accuracy

Total -31.7b remaining (-103.2%)

Threshold costs -31.7b (-103.2%)

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:

20.0ms	x
12.0ms	t
11.0ms	y
11.0ms	(*.f64 y z)
11.0ms	z

Results

Error	Segments	Branch
34.6b	7	`x`
34.7b	3	`y`
34.0b	3	`z`
30.7b	3	`t`
32.1b	3	`(*.f64 y z)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

bsearch45.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.0991879081952344e-78	5.4964864312312595e-76
23.0ms	-1.1442214317039235e+92	-7.149510859347312e+91

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	113
1	45	113

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
(if (<=.f64 x -6611361362785691/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (+.f64 (.f64 1/8 x) t) (if (<=.f64 x 7856440006437933/32) (+.f64 (.f64 y (.f64 -1/2 z)) t) (+.f64 (.f64 1/8 x) t)))
(if (<=.f64 (.f64 y z) -1758284875846780977691527933331634851202212672019495958765534833366354390088024246079443740555678221230022022135808) (.f64 -1/2 (.f64 y z)) (if (<=.f64 (.f64 y z) 718759010718270053477648025842686622948005234120558015554545789221353220430455533671734991707717160354541731840) (+.f64 (.f64 1/8 x) t) (.f64 -1/2 (*.f64 y z))))
(if (<=.f64 t -114422143170392352717618857890068317802868053357994854565600621478433985098087779788182781952) t (if (<=.f64 t 8757496402083895/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 -1/2 (.f64 y z)) t))
t

Outputs
(+.f64 (+.f64 (.f64 (.f64 y z) -1/2) (*.f64 1/8 x)) t)
(+.f64 (+.f64 (.f64 1/8 x) (.f64 (*.f64 y z) -1/2)) t)
(if (<=.f64 x -6611361362785691/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (+.f64 (.f64 1/8 x) t) (if (<=.f64 x 7856440006437933/32) (+.f64 (.f64 y (.f64 -1/2 z)) t) (+.f64 (.f64 1/8 x) t)))
(if (<=.f64 x -6611361362785691/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (+.f64 (.f64 1/8 x) t) (if (<=.f64 x 7856440006437933/32) (+.f64 t (.f64 y (.f64 z -1/2))) (+.f64 (.f64 1/8 x) t)))
(if (<=.f64 (.f64 y z) -1758284875846780977691527933331634851202212672019495958765534833366354390088024246079443740555678221230022022135808) (.f64 -1/2 (.f64 y z)) (if (<=.f64 (.f64 y z) 718759010718270053477648025842686622948005234120558015554545789221353220430455533671734991707717160354541731840) (+.f64 (.f64 1/8 x) t) (.f64 -1/2 (*.f64 y z))))
(if (<=.f64 (.f64 y z) -1758284875846780977691527933331634851202212672019495958765534833366354390088024246079443740555678221230022022135808) (.f64 (.f64 y z) -1/2) (if (<=.f64 (.f64 y z) 718759010718270053477648025842686622948005234120558015554545789221353220430455533671734991707717160354541731840) (+.f64 (.f64 1/8 x) t) (.f64 (*.f64 y z) -1/2)))
(if (<=.f64 t -114422143170392352717618857890068317802868053357994854565600621478433985098087779788182781952) t (if (<=.f64 t 8757496402083895/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 -1/2 (.f64 y z)) t))
(if (<=.f64 t -114422143170392352717618857890068317802868053357994854565600621478433985098087779788182781952) t (if (<=.f64 t 8757496402083895/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 (.f64 y z) -1/2) t))
t

Compiler

Compiled 99 to 66 computations (33.3% saved)

soundness0.0ms (0%)

end49.0ms (1.3%)

Remove: (sort y z)
Compiler: Compiled 113 to 70 computations (38.1% saved)

Details

analyze523.0ms (14.2%)

sample1.8s (48.8%)

preprocess186.0ms (5.1%)

simplify36.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.5%)

series8.0ms (0.2%)

rewrite102.0ms (2.8%)

simplify21.0ms (0.6%)

eval109.0ms (3%)

prune39.0ms (1.1%)

localize7.0ms (0.2%)

localize9.0ms (0.3%)

series4.0ms (0.1%)

rewrite59.0ms (1.6%)

simplify14.0ms (0.4%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

rewrite80.0ms (2.2%)

simplify21.0ms (0.6%)

eval52.0ms (1.4%)

prune26.0ms (0.7%)

localize6.0ms (0.2%)

series2.0ms (0%)

rewrite52.0ms (1.4%)

simplify8.0ms (0.2%)

eval2.0ms (0.1%)

prune4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes62.0ms (1.7%)

regimes82.0ms (2.2%)

bsearch46.0ms (1.2%)

regimes70.0ms (1.9%)

bsearch46.0ms (1.3%)

regimes67.0ms (1.8%)

bsearch45.0ms (1.2%)

simplify7.0ms (0.2%)

soundness0.0ms (0%)

end49.0ms (1.3%)

Profiling