Details

analyze1.3s (44.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
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
31.6%	68.2%	0.2%	13
36.8%	63%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.2s (41.7%)

Results

998.0ms	8255×	body	128	valid
150.0ms	1254×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 36 to 28 computations (22.2% saved)

preprocess70.0ms (2.5%)

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	2534	84
6	4526	84
7	4819	84
8	4867	84
9	4867	84
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

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 1/8 x) (-.f64 (/.f64 (.f64 y z) 2) t))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t))
(fma.f64 1/8 x (fma.f64 (/.f64 (neg.f64 y) 2) z t))
(fma.f64 z (*.f64 -1/2 y) (fma.f64 1/8 x t))
(fma.f64 z (*.f64 y -1/2) (fma.f64 1/8 x 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))
(fma.f64 (/.f64 (neg.f64 x) 2) z (fma.f64 1/8 y t))
(fma.f64 1/8 y (fma.f64 z (*.f64 -1/2 x) t))
(fma.f64 1/8 y (fma.f64 -1/2 (*.f64 x z) t))
(fma.f64 1/8 y (fma.f64 (*.f64 x 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))
(fma.f64 (/.f64 (neg.f64 y) 2) x (fma.f64 1/8 z t))
(fma.f64 x (*.f64 -1/2 y) (fma.f64 1/8 z t))
(fma.f64 x (*.f64 y -1/2) (fma.f64 1/8 z 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))
(-.f64 (fma.f64 1/8 t x) (*.f64 y (/.f64 z 2)))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 t x))
(fma.f64 1/8 t (fma.f64 -1/2 (*.f64 y z) x))
(fma.f64 1/8 t (fma.f64 (*.f64 y z) -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 1/8 x) (-.f64 (/.f64 (.f64 y z) 2) t))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t))
(fma.f64 1/8 x (fma.f64 (/.f64 (neg.f64 y) 2) z t))
(fma.f64 z (*.f64 -1/2 y) (fma.f64 1/8 x t))
(fma.f64 z (*.f64 y -1/2) (fma.f64 1/8 x 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 z (*.f64 -1/2 t) y))
(fma.f64 1/8 x (fma.f64 z (*.f64 t -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 17 to 13 computations (23.5% saved)

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
322×	`fma-neg_binary64`
114×	`cancel-sign-sub-inv_binary64`
53×	`unsub-neg_binary64`
52×	`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	455	12
6	727	12
7	1062	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 z (/.f64 y 2)))
(fma.f64 1/8 x (fma.f64 (/.f64 z -2) y t))
(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))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

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

rewrite39.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`
96×	`*-un-lft-identity_binary64`
96×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	200	12
2	2239	12

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify45.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
302×	`fma-neg_binary64`
142×	`cancel-sign-sub-inv_binary64`
53×	`distribute-rgt-neg-in_binary64`
49×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	651
1	35	573
2	76	499
3	176	499
4	278	499
5	384	499
6	632	499
7	875	499
8	1076	499
9	1501	499
10	1725	499
11	1737	499

Stop Event

1×

saturated

Counts

72 → 36

Calls

Call 1

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

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

prune25.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
▶	25.7b	(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))

Compiler

Compiled 470 to 303 computations (35.5% saved)

localize5.0ms (0.2%)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
✓	25.7b	(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))

Compiler

Compiled 25 to 18 computations (28% saved)

regimes106.0ms (3.8%)

Accuracy

Total 0.0b remaining (93.3%)

Threshold costs 0.0b (93.3%)

Counts

11 → 1

Compiler

Compiled 187 to 133 computations (28.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	11	12

Stop Event

1×

saturated

Calls

Call 1

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

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

end50.0ms (1.8%)

Stop Event

1×

done

Remove

(sort y z)

Compiler

Compiled 77 to 54 computations (29.9% saved)

Details

analyze1.3s (44.7%)

sample1.2s (41.7%)

preprocess70.0ms (2.5%)

simplify20.0ms (0.7%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

series7.0ms (0.3%)

rewrite39.0ms (1.4%)

simplify45.0ms (1.6%)

prune25.0ms (0.9%)

localize5.0ms (0.2%)

prune1.0ms (0%)

regimes106.0ms (3.8%)

simplify2.0ms (0.1%)

end50.0ms (1.8%)

Profiling