Details

analyze350.0ms (8.5%)

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)

sample1.4s (32.9%)

Results

1.2s	8255×	body	256	valid
144.0ms	1170×	body	256	invalid
0.0ms	1×	body	1024	valid

preprocess181.0ms (4.4%)

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)

simplify37.0ms (0.9%)

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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 51 to 32 computations (37.3% saved)

series9.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite83.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
573×	`fma-def_binary64`
321×	`fma-neg_binary64`
261×	`pow1/3_binary64`
258×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	304	21
2	3992	19

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

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

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

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
296×	`fma-neg_binary64`
140×	`cancel-sign-sub-inv_binary64`
53×	`distribute-rgt-neg-in_binary64`
50×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	671
1	40	669
2	87	667
3	179	667
4	281	667
5	386	667
6	634	667
7	871	667
8	1072	667
9	1497	667
10	1721	667
11	1733	667

Stop Event

1×

saturated

Counts

184 → 126

Calls

Call 1

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

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

eval41.0ms (1%)

Compiler: Compiled 2111 to 1282 computations (39.3% saved)

prune25.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	8	127

Error

Counts

127 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (.f64 y (/.f64 1 (/.f64 2 z)))) t)
	21.2b	(fma.f64 y (*.f64 z -1/2) t)
	40.3b	t
	22.6b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
▶	43.5b	(.f64 y (.f64 z -1/2))
▶	19.5b	(+.f64 (*.f64 1/8 x) t)
▶	41.8b	(*.f64 1/8 x)
▶	21.2b	(-.f64 t (.f64 1/2 (.f64 y z)))

Compiler

Compiled 161 to 124 computations (23% saved)

localize23.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (.f64 y (/.f64 1 (/.f64 2 z)))) t)
✓	0.2b	(/.f64 1 (/.f64 2 z))

Compiler

Compiled 62 to 46 computations (25.8% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite83.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`fma-def_binary64`
757×	`log-prod_binary64`
422×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	343	18
2	4581	16

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs
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Outputs

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

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	551
1	42	549
2	87	547
3	173	547
4	275	547
5	382	547
6	618	547
7	876	547
8	1080	547
9	1505	547
10	1729	547
11	1741	547

Stop Event

1×

saturated

Counts

186 → 139

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

localize6.0ms (0.1%)

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

localize9.0ms (0.2%)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

15 calls:

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

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
861×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
844×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2349	17

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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

simplify14.0ms (0.3%)

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

85 → 53

Calls

Call 1

Inputs
(.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)
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)

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

eval70.0ms (1.7%)

Compiler: Compiled 3325 to 2085 computations (37.3% saved)

prune38.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	3	0	3
Picked	0	1	1
Done	0	4	4
Total	192	8	200

Error

Counts

200 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (.f64 y (/.f64 1 (/.f64 2 z)))) t)
	40.3b	t
✓	43.5b	(.f64 y (.f64 z -1/2))
▶	21.2b	(fma.f64 z (*.f64 y -1/2) t)
✓	19.5b	(+.f64 (*.f64 1/8 x) t)
✓	41.8b	(*.f64 1/8 x)
✓	21.2b	(-.f64 t (.f64 1/2 (.f64 y z)))
▶	22.6b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))

Compiler

Compiled 83 to 64 computations (22.9% saved)

localize20.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 16 computations (44.8% saved)

localize14.0ms (0.3%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

eval6.0ms (0.1%)

Compiler: Compiled 133 to 91 computations (31.6% saved)

prune11.0ms (0.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	11	8	19

Error

Counts

19 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (.f64 y (/.f64 1 (/.f64 2 z)))) t)
	40.3b	t
✓	43.5b	(.f64 y (.f64 z -1/2))
✓	21.2b	(fma.f64 z (*.f64 y -1/2) t)
✓	19.5b	(+.f64 (*.f64 1/8 x) t)
✓	41.8b	(*.f64 1/8 x)
✓	21.2b	(-.f64 t (.f64 1/2 (.f64 y z)))
✓	22.6b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))

Compiler

Compiled 83 to 64 computations (22.9% saved)

eval0.0ms (0%)

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

prune7.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (.f64 y (/.f64 1 (/.f64 2 z)))) t)
	40.3b	t
✓	43.5b	(.f64 y (.f64 z -1/2))
✓	21.2b	(fma.f64 z (*.f64 y -1/2) t)
✓	19.5b	(+.f64 (*.f64 1/8 x) t)
✓	41.8b	(*.f64 1/8 x)
✓	21.2b	(-.f64 t (.f64 1/2 (.f64 y z)))
✓	22.6b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))

Compiler

Compiled 83 to 64 computations (22.9% saved)

regimes122.0ms (3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

9 calls:

18.0ms	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
17.0ms	(*.f64 (/.f64 1 8) x)
17.0ms	(/.f64 (*.f64 y z) 2)
14.0ms	(*.f64 y z)
14.0ms	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Results

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

Compiler

Compiled 161 to 112 computations (30.4% saved)

regimes138.0ms (3.3%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	z
29.0ms	(*.f64 y z)
29.0ms	y
27.0ms	x
18.0ms	t

Results

Error	Segments	Branch
5.2b	5	`x`
9.1b	4	`y`
9.8b	4	`z`
7.4b	3	`t`
4.5b	6	`(*.f64 y z)`

Compiler

Compiled 71 to 47 computations (33.8% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	2.8542599652654306e+89	4.6300120048413965e+94
0.0ms	1.9712239469141917e+56	5.417181396643222e+59
0.0ms	5.485071325638719	14.695076669785053
0.0ms	-7.404738889787827	-0.7535987717737216
0.0ms	-2.5911703258046696e+68	-9.482181754325235e+64

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes130.0ms (3.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

50.0ms	t
20.0ms	z
20.0ms	x
19.0ms	y
18.0ms	(*.f64 y z)

Results

Error	Segments	Branch
8.1b	3	`x`
10.6b	3	`y`
12.3b	3	`z`
12.9b	10	`t`
7.1b	3	`(*.f64 y z)`

Compiler

Compiled 53 to 37 computations (30.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.485071325638719	14.695076669785053
0.0ms	-7.404738889787827	-0.7535987717737216

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes103.0ms (2.5%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	z
30.0ms	x
22.0ms	t
14.0ms	y

Results

Error	Segments	Branch
14.3b	7	`x`
15.6b	3	`y`
12.9b	8	`z`
16.8b	5	`t`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch411.0ms (9.9%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
25.0ms	5.65250767304376e+271	3.582960907029207e+273
88.0ms	1.745218513152899e+153	4.165717394137628e+158
110.0ms	2.71212828923634e+116	2.0346894944412e+122
78.0ms	3.0034965818373327e+109	8.50668429584299e+109
66.0ms	8.03175234089708e+97	1.364091908096197e+98
22.0ms	4.8776026493525175e+79	1.221917955972123e+83
22.0ms	-1.0324963227037247e-9	-1.2748871537904041e-18

Compiler

Compiled 704 to 563 computations (20% saved)

regimes153.0ms (3.7%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	x
39.0ms	y
33.0ms	t
18.0ms	z

Results

Error	Segments	Branch
20.8b	9	`x`
25.8b	10	`y`
28.1b	5	`z`
22.8b	9	`t`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch182.0ms (4.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
22.0ms	9.886820263519911e+42	5.48001178048884e+49
22.0ms	4.2940514237955987e-54	2.5686140546314543e-50
22.0ms	1.4218876128739237e-179	5.712311988739161e-174
22.0ms	4.040736209919038e-268	4.468857748905509e-254
22.0ms	4.235099144968928e-302	8.677558064414203e-300
22.0ms	-7.070605529581441e-237	-1.3091731358458166e-240
22.0ms	-6.88328873309031e-205	-1.4292629033717384e-207
28.0ms	-2.0308738775735248e-80	-2.589621944613567e-85

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes72.0ms (1.8%)

Counts

3 → 3

Calls

Call 1

Inputs
t
t
(*.f64 1/8 x)

Outputs
(*.f64 1/8 x)
t
(*.f64 1/8 x)

Calls

4 calls:

34.0ms	y
17.0ms	z
10.0ms	t
10.0ms	x

Results

Error	Segments	Branch
26.5b	3	`x`
31.7b	10	`y`
33.8b	4	`z`
26.8b	3	`t`

Compiler

Compiled 29 to 22 computations (24.1% saved)

bsearch42.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	9.886820263519911e+42	5.48001178048884e+49
21.0ms	-2.0308738775735248e-80	-2.589621944613567e-85

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes15.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
t
t

Outputs
t

Calls

4 calls:

4.0ms	t
3.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
40.3b	1	`x`
40.3b	1	`y`
40.3b	1	`z`
40.3b	1	`t`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
10×	`*-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	367
1	105	367
2	120	367
3	132	367
4	140	367
5	145	367
6	147	367

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(if (<=.f64 (.f64 y z) -199999999999999990561044450276333613382502582705723397060843246977024) (-.f64 (.f64 1/8 x) (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) -5) (-.f64 t (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (if (<=.f64 (.f64 y z) 200000000000000018380567016286756476168068919431369064448) (-.f64 t (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552) (+.f64 (.f64 1/8 x) t) (-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z))))))))
(if (<=.f64 (.f64 y z) -5) (-.f64 t (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (-.f64 t (.f64 1/2 (*.f64 y z)))))
(if (<=.f64 z -1248211463173691/1208925819614629174706176) (.f64 y (.f64 z -1/2)) (if (<=.f64 z 48776026493525174535364013802532679490214140555306845331536526458153148658745344) (+.f64 (.f64 1/8 x) t) (if (<=.f64 z 81999999999999997685816259229892885253060828765547343774724148238922419600296511559961222689325056) (.f64 y (.f64 z -1/2)) (if (<=.f64 z 85000000000000003672136110517682747697320995524797547899405473928938918340750003381965456501483638077735829504) (+.f64 (.f64 1/8 x) t) (if (<=.f64 z 275000000000000017402343784301453377908768746859020086295703494977753908374931456857588977422893587452035789376978944) (.f64 y (.f64 z -1/2)) (if (<=.f64 z 410000000000000003847302881846469975074821289276774316512126929865705164463549286702438239966955656013584829926483696377878853994117768330396557374401076527104) (+.f64 (.f64 1/8 x) t) (if (<=.f64 z 57999999999999999896402684554692837133812979201192473644889315038089127230671970351414522992245703062187635044150339298573160560445872477032001170226843606189920738242184565249148260202235967538078653332606733320348777159928128791341775863796588478102803929594229315076096) (.f64 y (.f64 z -1/2)) (+.f64 (.f64 1/8 x) t))))))))
(if (<=.f64 x -1355600085652337/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 1/8 x) (if (<=.f64 x -7775401385626415/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) t (if (<=.f64 x -6479820557027861/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472) (.f64 y (.f64 z -1/2)) (if (<=.f64 x 8174835299697643/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) t (if (<=.f64 x 7510803833560053/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (.f64 y (.f64 z -1/2)) (if (<=.f64 x 2075928895574353/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) t (if (<=.f64 x 7409113431778023/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 y (.f64 z -1/2)) (if (<=.f64 x 9886820263519911370691139031938330980777984) t (.f64 1/8 x)))))))))
(if (<=.f64 x -1355600085652337/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 1/8 x) (if (<=.f64 x 9886820263519911370691139031938330980777984) t (.f64 1/8 x)))
t

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)
(if (<=.f64 (.f64 y z) -199999999999999990561044450276333613382502582705723397060843246977024) (-.f64 (.f64 1/8 x) (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) -5) (-.f64 t (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (if (<=.f64 (.f64 y z) 200000000000000018380567016286756476168068919431369064448) (-.f64 t (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552) (+.f64 (.f64 1/8 x) t) (-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z))))))))
(if (<=.f64 (.f64 y z) -199999999999999990561044450276333613382502582705723397060843246977024) (+.f64 (.f64 1/8 x) (.f64 -1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) -5) (+.f64 t (.f64 -1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (if (<=.f64 (.f64 y z) 200000000000000018380567016286756476168068919431369064448) (+.f64 t (.f64 -1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552) (+.f64 (.f64 1/8 x) t) (+.f64 (.f64 1/8 x) (.f64 -1/2 (*.f64 y z))))))))
(if (<=.f64 (.f64 y z) -199999999999999990561044450276333613382502582705723397060843246977024) (+.f64 (.f64 1/8 x) (.f64 (.f64 y z) -1/2)) (if (<=.f64 (.f64 y z) -5) (+.f64 t (.f64 (.f64 y z) -1/2)) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (if (<=.f64 (.f64 y z) 200000000000000018380567016286756476168068919431369064448) (+.f64 t (.f64 (.f64 y z) -1/2)) (if (<=.f64 (.f64 y z) 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552) (+.f64 (.f64 1/8 x) t) (+.f64 (.f64 1/8 x) (.f64 (*.f64 y z) -1/2)))))))
(if (<=.f64 (.f64 y z) -5) (-.f64 t (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (-.f64 t (.f64 1/2 (*.f64 y z)))))
(if (<=.f64 (.f64 y z) -5) (+.f64 t (.f64 -1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (+.f64 t (.f64 -1/2 (*.f64 y z)))))
(if (<=.f64 (.f64 y z) -5) (+.f64 t (.f64 (.f64 y z) -1/2)) (if (<=.f64 (.f64 y z) 10) (+.f64 (.f64 1/8 x) t) (+.f64 t (.f64 (*.f64 y z) -1/2))))
(if (<=.f64 z -1248211463173691/1208925819614629174706176) (.f64 y (.f64 z -1/2)) (if (<=.f64 z 48776026493525174535364013802532679490214140555306845331536526458153148658745344) (+.f64 (.f64 1/8 x) t) (if (<=.f64 z 81999999999999997685816259229892885253060828765547343774724148238922419600296511559961222689325056) (.f64 y (.f64 z -1/2)) (if (<=.f64 z 85000000000000003672136110517682747697320995524797547899405473928938918340750003381965456501483638077735829504) (+.f64 (.f64 1/8 x) t) (if (<=.f64 z 275000000000000017402343784301453377908768746859020086295703494977753908374931456857588977422893587452035789376978944) (.f64 y (.f64 z -1/2)) (if (<=.f64 z 410000000000000003847302881846469975074821289276774316512126929865705164463549286702438239966955656013584829926483696377878853994117768330396557374401076527104) (+.f64 (.f64 1/8 x) t) (if (<=.f64 z 57999999999999999896402684554692837133812979201192473644889315038089127230671970351414522992245703062187635044150339298573160560445872477032001170226843606189920738242184565249148260202235967538078653332606733320348777159928128791341775863796588478102803929594229315076096) (.f64 y (.f64 z -1/2)) (+.f64 (.f64 1/8 x) t))))))))
(if (<=.f64 x -1355600085652337/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 1/8 x) (if (<=.f64 x -7775401385626415/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) t (if (<=.f64 x -6479820557027861/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472) (.f64 y (.f64 z -1/2)) (if (<=.f64 x 8174835299697643/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) t (if (<=.f64 x 7510803833560053/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (.f64 y (.f64 z -1/2)) (if (<=.f64 x 2075928895574353/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) t (if (<=.f64 x 7409113431778023/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 y (.f64 z -1/2)) (if (<=.f64 x 9886820263519911370691139031938330980777984) t (.f64 1/8 x)))))))))
(if (<=.f64 x -1355600085652337/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 1/8 x) (if (<=.f64 x 9886820263519911370691139031938330980777984) t (.f64 1/8 x)))
t

Compiler

Compiled 283 to 181 computations (36% saved)

soundness0.0ms (0%)

end108.0ms (2.6%)

Remove: (sort y z)
Compiler: Compiled 289 to 177 computations (38.8% saved)

Details

analyze350.0ms (8.5%)

sample1.4s (32.9%)

preprocess181.0ms (4.4%)

simplify37.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.4%)

series9.0ms (0.2%)

rewrite83.0ms (2%)

simplify72.0ms (1.7%)

eval41.0ms (1%)

prune25.0ms (0.6%)

localize23.0ms (0.6%)

series5.0ms (0.1%)

rewrite83.0ms (2%)

simplify68.0ms (1.6%)

localize4.0ms (0.1%)

localize6.0ms (0.1%)

localize9.0ms (0.2%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite67.0ms (1.6%)

simplify14.0ms (0.3%)

eval70.0ms (1.7%)

prune38.0ms (0.9%)

localize20.0ms (0.5%)

localize14.0ms (0.3%)

eval6.0ms (0.1%)

prune11.0ms (0.3%)

eval0.0ms (0%)

prune7.0ms (0.2%)

regimes122.0ms (3%)

regimes138.0ms (3.3%)

bsearch1.0ms (0%)

regimes130.0ms (3.1%)

bsearch0.0ms (0%)

regimes103.0ms (2.5%)

bsearch411.0ms (9.9%)

regimes153.0ms (3.7%)

bsearch182.0ms (4.4%)

regimes72.0ms (1.8%)

bsearch42.0ms (1%)

regimes15.0ms (0.4%)

simplify21.0ms (0.5%)

soundness0.0ms (0%)

end108.0ms (2.6%)

Profiling