Details

analyze623.0ms (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample3.7s (25.2%)

Results

2.6s	8256×	body	256	valid
1.1s	4010×	body	256	invalid

preprocess66.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1158×	`fma-def_binary64`
333×	`associate-+l+_binary64`
303×	`associate-+r+_binary64`
244×	`+-commutative_binary64`
64×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	352
1	257	254
2	793	236
3	1763	236
4	1917	236
5	1939	236
6	1939	208
7	2483	208
8	2483	208
0	6	6

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

Inputs
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 y (.f64 x z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 z (.f64 y x)) (.f64 t a)) (.f64 (.f64 a x) b))
(+.f64 (+.f64 (+.f64 t (.f64 y z)) (.f64 x a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 a (.f64 y z)) (.f64 t x)) (.f64 (.f64 x z) b))
(+.f64 (+.f64 (+.f64 b (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) x))
(+.f64 (+.f64 (+.f64 x (.f64 z y)) (.f64 t a)) (.f64 (.f64 a y) b))
(+.f64 (+.f64 (+.f64 x (.f64 t z)) (.f64 y a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 x (.f64 a z)) (.f64 t y)) (.f64 (.f64 y z) b))
(+.f64 (+.f64 (+.f64 x (.f64 b z)) (.f64 t a)) (.f64 (.f64 a z) y))
(+.f64 (+.f64 (+.f64 x (.f64 y t)) (.f64 z a)) (.f64 (.f64 a t) b))
(+.f64 (+.f64 (+.f64 x (.f64 y a)) (.f64 t z)) (.f64 (.f64 z a) b))
(+.f64 (+.f64 (+.f64 x (.f64 y b)) (.f64 t a)) (.f64 (.f64 a b) z))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 a t)) (.f64 (.f64 t z) b))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 b a)) (.f64 (.f64 a z) t))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t b)) (.f64 (.f64 b z) a))

Outputs
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 x (.f64 y z)) (+.f64 (.f64 t a) (.f64 a (.f64 z b))))
(fma.f64 z (*.f64 a b) (fma.f64 t a (fma.f64 y z x)))
(fma.f64 a (+.f64 t (*.f64 z b)) (fma.f64 y z x))
(fma.f64 z (fma.f64 a b y) (fma.f64 t a x))
(+.f64 (+.f64 (+.f64 y (.f64 x z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 y (.f64 x z)) (+.f64 (.f64 t a) (.f64 a (.f64 z b))))
(fma.f64 z (*.f64 a b) (fma.f64 t a (fma.f64 x z y)))
(fma.f64 a (+.f64 t (*.f64 z b)) (fma.f64 x z y))
(+.f64 (fma.f64 t a y) (*.f64 z (fma.f64 a b x)))
(fma.f64 x z (fma.f64 a (fma.f64 z b t) y))
(+.f64 (+.f64 (+.f64 z (.f64 y x)) (.f64 t a)) (.f64 (.f64 a x) b))
(+.f64 (+.f64 z (.f64 x y)) (+.f64 (.f64 t a) (.f64 a (.f64 x b))))
(fma.f64 a (*.f64 x b) (fma.f64 t a (fma.f64 x y z)))
(fma.f64 a (+.f64 t (*.f64 x b)) (fma.f64 x y z))
(fma.f64 x y (fma.f64 a (fma.f64 x b t) z))
(+.f64 (+.f64 (+.f64 t (.f64 y z)) (.f64 x a)) (.f64 (.f64 a z) b))
(+.f64 (.f64 a (.f64 z b)) (+.f64 t (+.f64 (.f64 y z) (.f64 x a))))
(+.f64 (fma.f64 y z t) (*.f64 a (fma.f64 z b x)))
(fma.f64 a (fma.f64 z b x) (fma.f64 y z t))
(fma.f64 x a (fma.f64 z (fma.f64 a b y) t))
(+.f64 (+.f64 (+.f64 a (.f64 y z)) (.f64 t x)) (.f64 (.f64 x z) b))
(+.f64 (+.f64 (.f64 y z) a) (+.f64 (.f64 x t) (.f64 x (.f64 z b))))
(fma.f64 x (*.f64 z b) (fma.f64 x t (fma.f64 y z a)))
(fma.f64 x (+.f64 t (*.f64 z b)) (fma.f64 y z a))
(fma.f64 x (fma.f64 z b t) (fma.f64 y z a))
(+.f64 (+.f64 (+.f64 b (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) x))
(+.f64 (+.f64 b (+.f64 (.f64 y z) (.f64 t a))) (.f64 x (.f64 z a)))
(fma.f64 x (*.f64 z a) (fma.f64 t a (fma.f64 y z b)))
(fma.f64 a (+.f64 t (*.f64 x z)) (fma.f64 y z b))
(fma.f64 y z (fma.f64 a (fma.f64 x z t) b))
(+.f64 (+.f64 (+.f64 x (.f64 z y)) (.f64 t a)) (.f64 (.f64 a y) b))
(+.f64 (+.f64 x (.f64 y z)) (+.f64 (.f64 t a) (.f64 b (.f64 y a))))
(fma.f64 a (*.f64 y b) (fma.f64 t a (fma.f64 y z x)))
(fma.f64 a (+.f64 t (*.f64 y b)) (fma.f64 y z x))
(fma.f64 y z (fma.f64 a (fma.f64 y b t) x))
(+.f64 (+.f64 (+.f64 x (.f64 t z)) (.f64 y a)) (.f64 (.f64 a z) b))
(+.f64 (.f64 a (.f64 z b)) (+.f64 x (+.f64 (.f64 z t) (.f64 y a))))
(fma.f64 z (*.f64 a b) (fma.f64 z t (fma.f64 y a x)))
(fma.f64 z (+.f64 t (*.f64 a b)) (fma.f64 y a x))
(fma.f64 y a (fma.f64 z (fma.f64 a b t) x))
(+.f64 (+.f64 (+.f64 x (.f64 a z)) (.f64 t y)) (.f64 (.f64 y z) b))
(+.f64 (+.f64 x (+.f64 (.f64 z a) (.f64 y t))) (.f64 y (.f64 z b)))
(fma.f64 y (*.f64 z b) (fma.f64 y t (fma.f64 z a x)))
(fma.f64 y (+.f64 t (*.f64 z b)) (fma.f64 z a x))
(fma.f64 y t (fma.f64 z (fma.f64 y b a) x))
(+.f64 (+.f64 (+.f64 x (.f64 b z)) (.f64 t a)) (.f64 (.f64 a z) y))
(+.f64 (+.f64 x (.f64 z b)) (+.f64 (.f64 t a) (.f64 y (.f64 z a))))
(+.f64 (fma.f64 z b x) (*.f64 a (fma.f64 y z t)))
(fma.f64 a (fma.f64 y z t) (fma.f64 z b x))
(fma.f64 t a (fma.f64 z (fma.f64 y a b) x))
(+.f64 (+.f64 (+.f64 x (.f64 y t)) (.f64 z a)) (.f64 (.f64 a t) b))
(+.f64 (+.f64 x (.f64 y t)) (+.f64 (.f64 z a) (.f64 (.f64 t a) b)))
(fma.f64 a (*.f64 t b) (fma.f64 y t (fma.f64 z a x)))
(fma.f64 a (+.f64 z (*.f64 t b)) (fma.f64 y t x))
(fma.f64 z a (fma.f64 t (fma.f64 a b y) x))
(+.f64 (+.f64 (+.f64 x (.f64 y a)) (.f64 t z)) (.f64 (.f64 z a) b))
(+.f64 (.f64 a (.f64 z b)) (+.f64 x (+.f64 (.f64 z t) (.f64 y a))))
(fma.f64 z (*.f64 a b) (fma.f64 z t (fma.f64 y a x)))
(fma.f64 z (+.f64 t (*.f64 a b)) (fma.f64 y a x))
(fma.f64 y a (fma.f64 z (fma.f64 a b t) x))
(+.f64 (+.f64 (+.f64 x (.f64 y b)) (.f64 t a)) (.f64 (.f64 a b) z))
(+.f64 (.f64 a (.f64 z b)) (+.f64 x (+.f64 (.f64 y b) (.f64 t a))))
(fma.f64 z (*.f64 a b) (fma.f64 t a (fma.f64 y b x)))
(fma.f64 a (+.f64 t (*.f64 z b)) (fma.f64 y b x))
(fma.f64 a (fma.f64 z b t) (fma.f64 y b x))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 a t)) (.f64 (.f64 t z) b))
(+.f64 (+.f64 x (.f64 y z)) (+.f64 (.f64 t a) (.f64 t (.f64 z b))))
(fma.f64 t (*.f64 z b) (fma.f64 t a (fma.f64 y z x)))
(fma.f64 t (+.f64 a (*.f64 z b)) (fma.f64 y z x))
(fma.f64 y z (fma.f64 t (fma.f64 z b a) x))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 b a)) (.f64 (.f64 a z) t))
(+.f64 (+.f64 x (.f64 y z)) (+.f64 (.f64 a b) (.f64 t (.f64 z a))))
(fma.f64 t (*.f64 z a) (fma.f64 a b (fma.f64 y z x)))
(fma.f64 a (+.f64 b (*.f64 z t)) (fma.f64 y z x))
(fma.f64 y z (fma.f64 a (fma.f64 z t b) x))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t b)) (.f64 (.f64 b z) a))
(+.f64 (+.f64 x (.f64 y z)) (+.f64 (.f64 t b) (.f64 a (.f64 z b))))
(fma.f64 z (*.f64 a b) (fma.f64 t b (fma.f64 y z x)))
(fma.f64 b (+.f64 t (*.f64 z a)) (fma.f64 y z x))
(fma.f64 z (fma.f64 a b y) (fma.f64 t b x))

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

89×	`fma-def_binary64`
23×	`associate-+l+_binary64`
21×	`associate-+r+_binary64`
19×	`+-commutative_binary64`
10×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	27	16
2	69	15
3	148	13
4	191	13
5	203	13
6	206	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Outputs
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 x (.f64 y z)) (+.f64 (.f64 t a) (.f64 a (.f64 z b))))
(fma.f64 a (*.f64 z b) (fma.f64 t a (fma.f64 y z x)))
(fma.f64 a (+.f64 t (*.f64 z b)) (fma.f64 y z x))
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))

eval1.0ms (0%)

Compiler: Compiled 31 to 16 computations (48.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
▶	2.0b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
✓	0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
✓	0.0b	(+.f64 x (*.f64 y z))
✓	4.8b	(.f64 (.f64 a z) b)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series26.0ms (0.2%)

Counts

4 → 204

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
2.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
1.0ms	b	@	inf	(.f64 (.f64 a z) b)
1.0ms	z	@	0	(.f64 (.f64 a z) b)
1.0ms	a	@	0	(.f64 (.f64 a z) b)

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`log-prod_binary64`
458×	`fma-neg_binary64`
296×	`expm1-udef_binary64`
296×	`log1p-udef_binary64`
245×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	311	37
2	4686	37

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(.f64 (.f64 a z) b)
(+.f64 x (*.f64 y z))
(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

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

simplify254.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1275×	`fma-neg_binary64`
1117×	`fma-def_binary64`
185×	`cancel-sign-sub-inv_binary64`
150×	`distribute-rgt-in_binary64`
134×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	1812
1	188	1693
2	394	1693
3	790	1693
4	2005	1693
5	3342	1693
6	3832	1693
7	4137	1693
8	4163	1693
9	4163	1693
10	4299	1693
11	4299	1693

Stop Event

1×

saturated

Counts

374 → 204

Calls

Call 1

Inputs
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))

Outputs
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 z y (*.f64 a t))
(fma.f64 a t (*.f64 z y))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 y z (.f64 a (+.f64 (.f64 b z) t)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 (+.f64 (*.f64 b z) t) a x)
(fma.f64 a (fma.f64 b z t) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 x (.f64 a (.f64 z b)))))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(.f64 z (+.f64 (.f64 a b) y))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 y z (fma.f64 a (*.f64 b z) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 a (+.f64 (.f64 b z) t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 t (*.f64 b z)) a) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(.f64 a (+.f64 (.f64 b z) t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))) x))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 a t x))
(fma.f64 a t (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (+.f64 (*.f64 b z) t) a x))
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))

localize47.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(fma.f64 a (fma.f64 z b t) x)

Compiler

Compiled 33 to 9 computations (72.7% saved)

series14.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(fma.f64 a (fma.f64 z b t) x)
1.0ms	z	@	-inf	(fma.f64 a (fma.f64 z b t) x)
1.0ms	b	@	inf	(fma.f64 a (fma.f64 z b t) x)
1.0ms	b	@	-inf	(fma.f64 a (fma.f64 z b t) x)
1.0ms	z	@	0	(fma.f64 a (fma.f64 z b t) x)

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
700×	`add-log-exp_binary64`
700×	`log1p-expm1-u_binary64`
700×	`expm1-log1p-u_binary64`
682×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	157	9
2	1863	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 a (fma.f64 z b t) x)

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

Outputs

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

31×	`fma-def_binary64`
8×	`+-commutative_binary64`
8×	`*-commutative_binary64`
4×	`associate-+r+_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	582
1	51	486
2	75	486
3	81	486

Stop Event

1×

saturated

Counts

81 → 39

Calls

Call 1

Inputs
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(*.f64 a t)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(*.f64 a t)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)

Outputs
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 (fma.f64 b z t) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 (fma.f64 b z t) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(fma.f64 t a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 z b))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 z b))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(fma.f64 t a x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 b z))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 b z))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 z a) b x)
(fma.f64 b (*.f64 z a) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(*.f64 a t)
(*.f64 t a)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(*.f64 a t)
(*.f64 t a)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 (fma.f64 b z t) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (+.f64 t (*.f64 b z)) a x)
(fma.f64 (fma.f64 b z t) a x)

eval104.0ms (0.7%)

Compiler: Compiled 4633 to 1073 computations (76.8% saved)

prune79.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	235	8	243
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	237	8	245

Error

0.0b

Counts

245 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
	17.7b	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
▶	25.1b	(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
	41.8b	(.f64 (+.f64 t (.f64 b z)) a)
▶	41.3b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
▶	31.0b	(fma.f64 y z (*.f64 t a))
	22.1b	(fma.f64 y z x)
▶	41.1b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 232 to 154 computations (33.6% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 a (.f64 z b)))
✓	0.0b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
✓	5.0b	(.f64 a (.f64 z b))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series99.0ms (0.7%)

Counts

3 → 99

Calls

36 calls:

Time	Variable		Point	Expression
88.0ms	z	@	0	(.f64 a (.f64 z b))
1.0ms	a	@	0	(.f64 a (.f64 z b))
1.0ms	y	@	0	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
0.0ms	b	@	0	(.f64 a (.f64 z b))
0.0ms	a	@	-inf	(.f64 a (.f64 z b))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log-prod_binary64`
610×	`fma-def_binary64`
336×	`pow2_binary64`
311×	`fma-neg_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	241	27
2	3503	27

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

Inputs
(.f64 a (.f64 z b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 x (.f64 a (.f64 z b)))

Outputs

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

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

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

410×	`fma-neg_binary64`
387×	`fma-def_binary64`
138×	`cancel-sign-sub-inv_binary64`
90×	`distribute-rgt-in_binary64`
80×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	738
1	76	738
2	154	738
3	344	738
4	751	738
5	1263	738
6	1640	738
7	1847	738
8	1920	738
9	1930	738

Stop Event

1×

saturated

Counts

281 → 200

Calls

Call 1

Inputs
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
x
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z)) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z)) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z)) x)
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 z b)) x))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(.f64 a (.f64 z b))
x
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
x
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
x
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
x
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
x
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)
(.f64 a (.f64 b z))
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)
(.f64 a (.f64 b z))
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 a (.f64 b z)) x)

Outputs
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
x
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(fma.f64 z (fma.f64 a b y) x)
(.f64 z (+.f64 (.f64 a b) y))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(fma.f64 z (fma.f64 a b y) x)
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z)) x)
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z)) x)
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z)) x)
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
x
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
x
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 z (fma.f64 a b y) x)
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 z (fma.f64 a b y) x)
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
x
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
x
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
x
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
x
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
x
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(.f64 a (.f64 b z))
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(.f64 a (.f64 b z))
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)
(+.f64 (.f64 a (.f64 b z)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 a z) b x)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 a b) y)
✓	2.4b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 25 to 9 computations (64% saved)

series13.0ms (0.1%)

Counts

2 → 45

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(.f64 z (+.f64 (.f64 a b) y))
2.0ms	y	@	inf	(.f64 z (+.f64 (.f64 a b) y))
1.0ms	z	@	0	(.f64 z (+.f64 (.f64 a b) y))
1.0ms	a	@	inf	(.f64 z (+.f64 (.f64 a b) y))
1.0ms	z	@	inf	(.f64 z (+.f64 (.f64 a b) y))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	13
2	2478	13

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (*.f64 a b) y)

Outputs

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

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

11×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`associate-l_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	372
1	24	345
2	37	291
3	43	291

Stop Event

1×

saturated

Counts

106 → 70

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(.f64 a (.f64 z b))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
y
(*.f64 a b)
(*.f64 a b)
y
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
y
y

Outputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 z (.f64 a b))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 z (.f64 a b))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 z (.f64 a b))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 z (.f64 a b))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(.f64 a (.f64 z b))
(.f64 z (.f64 a b))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
y
(*.f64 a b)
(*.f64 a b)
y
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
y
y

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	4.8b	(.f64 (.f64 a z) b)

Compiler

Compiled 30 to 10 computations (66.7% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
1.0ms	a	@	inf	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
1.0ms	a	@	-inf	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
1.0ms	t	@	inf	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
0.0ms	z	@	-inf	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))

rewrite115.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
401×	`pow-prod-down_binary64`
389×	`fma-def_binary64`
377×	`exp-prod_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	190	10
2	2614	8

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

Inputs
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))

Outputs

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

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

230×	`fma-neg_binary64`
153×	`fma-def_binary64`
61×	`associate-l_binary64`
57×	`cancel-sign-sub-inv_binary64`
55×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	363
1	63	363
2	154	363
3	322	363
4	657	363
5	926	363
6	1046	363
7	1097	363

Stop Event

1×

saturated

Counts

131 → 92

Calls

Call 1

Inputs
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a t)
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))

Outputs
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 a (fma.f64 z b t))
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 a (fma.f64 z b t))
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 a (fma.f64 z b t))
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 a (fma.f64 z b t))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(*.f64 a (fma.f64 z b t))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(*.f64 a (fma.f64 z b t))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(*.f64 a (fma.f64 z b t))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(*.f64 a (fma.f64 z b t))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a t)
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
✓	0.0b	(+.f64 (.f64 z y) (.f64 t a))
	4.8b	(.f64 (.f64 a z) b)

Compiler

Compiled 45 to 12 computations (73.3% saved)

series16.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
1.0ms	z	@	0	(+.f64 (.f64 z y) (.f64 t a))
1.0ms	a	@	inf	(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
1.0ms	y	@	0	(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
1.0ms	a	@	-inf	(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))

rewrite141.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`fma-def_binary64`
727×	`log-prod_binary64`
353×	`fma-neg_binary64`
250×	`pow1/3_binary64`
246×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	261	22
2	3781	22

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

Inputs
(+.f64 (.f64 z y) (.f64 t a))
(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))

Outputs

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

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

644×	`fma-def_binary64`
552×	`fma-neg_binary64`
95×	`cancel-sign-sub-inv_binary64`
83×	`unsub-neg_binary64`
74×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	970
1	127	970
2	288	970
3	602	970
4	1542	970
5	2176	970
6	2380	970
7	2418	970

Stop Event

1×

saturated

Counts

298 → 214

Calls

Call 1

Inputs
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (*.f64 a t))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (*.f64 a t))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (*.f64 a t))
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 a t) (.f64 z (+.f64 (*.f64 a b) y)))
(+.f64 (.f64 a t) (.f64 z (+.f64 (*.f64 a b) y)))
(+.f64 (.f64 a t) (.f64 z (+.f64 (*.f64 a b) y)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z))
(+.f64 (.f64 a t) (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)))
(+.f64 (.f64 a t) (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)))
(+.f64 (.f64 a t) (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (+.f64 t (*.f64 b z)) a))
(+.f64 (.f64 y z) (.f64 (+.f64 t (*.f64 b z)) a))
(+.f64 (.f64 y z) (.f64 (+.f64 t (*.f64 b z)) a))
(.f64 a (+.f64 (.f64 z b) t))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (.f64 a t)))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (.f64 a t)))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (.f64 a t)))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(.f64 a (.f64 b z))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))

Outputs
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (*.f64 a t))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (*.f64 a t))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (*.f64 a t))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(.f64 z (+.f64 (.f64 a b) y))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 a t) (.f64 z (+.f64 (*.f64 a b) y)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 a t) (.f64 z (+.f64 (*.f64 a b) y)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 a t) (.f64 z (+.f64 (*.f64 a b) y)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 a t) (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 a t) (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 a t) (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 z b))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (+.f64 t (*.f64 b z)) a))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 (+.f64 t (*.f64 b z)) a))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 (+.f64 t (*.f64 b z)) a))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 y z) (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (.f64 z b))))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (.f64 a t)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (.f64 a t)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (.f64 a t)))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (.f64 a (.f64 b z))))
(fma.f64 a t (*.f64 z (fma.f64 a b y)))
(fma.f64 a (fma.f64 z b t) (*.f64 y z))
(fma.f64 z (fma.f64 a b y) (*.f64 a t))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y z (*.f64 t a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 y z (*.f64 t a))
1.0ms	z	@	-inf	(fma.f64 y z (*.f64 t a))
1.0ms	z	@	inf	(fma.f64 y z (*.f64 t a))
1.0ms	y	@	inf	(fma.f64 y z (*.f64 t a))
1.0ms	y	@	0	(fma.f64 y z (*.f64 t a))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y z (*.f64 t a))

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

69 → 25

Calls

Call 1

Inputs
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))
(+.f64 (.f64 y z) (.f64 a t))

Outputs
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(*.f64 a t)
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(fma.f64 a t (*.f64 y z))

eval135.0ms (0.9%)

Compiler: Compiled 10016 to 2431 computations (75.7% saved)

prune168.0ms (1.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	627	10	637
Fresh	1	2	3
Picked	0	1	1
Done	3	1	4
Total	631	14	645

Error

0.0b

Counts

645 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	41.8b	(.f64 (+.f64 t (.f64 b z)) a)
	38.8b	x
	57.5b	(.f64 z (.f64 a b))
▶	17.7b	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
▶	56.6b	(.f64 a (.f64 z b))
✓	41.1b	(.f64 z (+.f64 (.f64 a b) y))
	22.1b	(fma.f64 z y x)
	39.9b	(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
	46.1b	(*.f64 z y)
✓	31.0b	(fma.f64 y z (*.f64 t a))
▶	33.5b	(+.f64 (.f64 a (.f64 b z)) x)
▶	47.5b	(*.f64 a t)
▶	22.2b	(+.f64 (*.f64 y z) x)
	31.0b	(+.f64 (.f64 y z) (.f64 t a))

Compiler

Compiled 296 to 209 computations (29.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 a t) x)
✓	0.0b	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
	4.8b	(.f64 (.f64 a z) b)

Compiler

Compiled 38 to 11 computations (71.1% saved)

series7.0ms (0%)

Counts

2 → 69

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
0.0ms	x	@	-inf	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
0.0ms	z	@	inf	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
0.0ms	a	@	inf	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
0.0ms	a	@	-inf	(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))

rewrite115.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`fma-def_binary64`
656×	`log-prod_binary64`
336×	`pow2_binary64`
312×	`fma-neg_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	241	17
2	3498	17

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (*.f64 a t) x)

Outputs

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-neg_binary64`
423×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
71×	`unsub-neg_binary64`
66×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	510
1	88	510
2	192	510
3	386	510
4	863	510
5	1375	510
6	1606	510
7	1809	510
8	1882	510
9	1892	510

Stop Event

1×

saturated

Counts

240 → 190

Calls

Call 1

Inputs
x
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(.f64 a (+.f64 (.f64 z b) t))
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b))))) x)
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b))))) x)
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b))))) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(*.f64 a t)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(*.f64 a t)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
x
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
x
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
x
(*.f64 a t)
(*.f64 a t)
x
(*.f64 a t)
(*.f64 a t)
(*.f64 a t)
x
x

Outputs
x
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(fma.f64 a (fma.f64 z b t) x)
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(fma.f64 a (fma.f64 z b t) x)
(.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b)))))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b))))) x)
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b))))) x)
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 z b))))) x)
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 z b) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(*.f64 a t)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(*.f64 a t)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
x
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
x
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 a (fma.f64 z b t) x)
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 a (fma.f64 z b t) x)
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 a (fma.f64 z b t) x)
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 a (fma.f64 z b t) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 a (fma.f64 z b t) x)
x
(*.f64 a t)
(*.f64 a t)
x
(*.f64 a t)
(*.f64 a t)
(*.f64 a t)
x
x

localize5.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.0b	(.f64 a (.f64 z b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y z) x)

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 y z) x)

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

Inputs
x
(*.f64 y z)
(*.f64 y z)
x
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
x
x

Outputs
x
(*.f64 y z)
(*.f64 y z)
x
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
x
x

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a (.f64 b z)) x)
✓	5.0b	(.f64 a (.f64 b z))

Compiler

Compiled 25 to 9 computations (64% saved)

series6.0ms (0%)

Counts

2 → 36

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 a (.f64 b z))
0.0ms	z	@	inf	(.f64 a (.f64 b z))
0.0ms	z	@	-inf	(.f64 a (.f64 b z))
0.0ms	x	@	inf	(+.f64 (.f64 a (.f64 b z)) x)
0.0ms	b	@	0	(+.f64 (.f64 a (.f64 b z)) x)

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`pow1_binary64`
853×	`add-log-exp_binary64`
853×	`log1p-expm1-u_binary64`
853×	`expm1-log1p-u_binary64`
833×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	170	15
2	2317	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(.f64 a (.f64 b z))
(+.f64 (.f64 a (.f64 b z)) x)

Outputs

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

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	234
1	17	234
2	26	234
3	28	234

Stop Event

1×

saturated

Counts

83 → 53

Calls

Call 1

Inputs
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
x
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
x
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
x
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 a (.f64 z b))
(+.f64 x (.f64 a (.f64 z b)))
(+.f64 x (.f64 a (.f64 z b)))
(+.f64 x (.f64 a (.f64 z b)))
(.f64 a (.f64 z b))
(+.f64 x (.f64 a (.f64 z b)))
(+.f64 x (.f64 a (.f64 z b)))
(+.f64 x (.f64 a (.f64 z b)))
(.f64 a (.f64 b z))
x
x

Outputs
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
x
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
x
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
x
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(.f64 a (.f64 z b))
(+.f64 x (.f64 a (.f64 z b)))
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 x (.f64 a (.f64 z b)))
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 x (.f64 a (.f64 z b)))
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(.f64 a (.f64 z b))
(+.f64 x (.f64 a (.f64 z b)))
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 x (.f64 a (.f64 z b)))
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(+.f64 x (.f64 a (.f64 z b)))
(fma.f64 a (*.f64 z b) x)
(fma.f64 (*.f64 a z) b x)
(fma.f64 b (*.f64 a z) x)
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
x
x

eval69.0ms (0.5%)

Compiler: Compiled 4547 to 1236 computations (72.8% saved)

prune69.0ms (0.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	313	3	316
Fresh	2	5	7
Picked	0	1	1
Done	1	5	6
Total	316	14	330

Error

0.0b

Counts

330 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.8b	(.f64 (+.f64 t (.f64 b z)) a)
▶	57.5b	(.f64 z (.f64 a b))
✓	41.1b	(.f64 z (+.f64 (.f64 a b) y))
▶	22.1b	(fma.f64 z y x)
	38.8b	x
	31.0b	(+.f64 (.f64 y z) (.f64 t a))
	39.9b	(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
▶	24.0b	(+.f64 (*.f64 a t) x)
▶	46.1b	(*.f64 z y)
✓	56.6b	(.f64 a (.f64 z b))
✓	31.0b	(fma.f64 y z (*.f64 t a))
✓	33.5b	(+.f64 (.f64 a (.f64 b z)) x)
✓	47.5b	(*.f64 a t)
✓	22.2b	(+.f64 (*.f64 y z) x)

Compiler

Compiled 240 to 171 computations (28.8% saved)

localize5.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

localize6.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.3b	(.f64 z (.f64 a b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 z (.f64 a b))
0.0ms	z	@	inf	(.f64 z (.f64 a b))
0.0ms	b	@	-inf	(.f64 z (.f64 a b))
0.0ms	b	@	inf	(.f64 z (.f64 a b))
0.0ms	z	@	-inf	(.f64 z (.f64 a b))

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1454	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 z (.f64 a b))

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	14	252
2	20	252

Stop Event

1×

saturated

Counts

47 → 13

Calls

Call 1

Inputs
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))
(.f64 a (.f64 b z))

Outputs
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 a t) x)

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 (+.f64 t (.f64 b z)) a)

Compiler

Compiled 25 to 9 computations (64% saved)

series7.0ms (0%)

Counts

1 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(.f64 (+.f64 t (.f64 b z)) a)
1.0ms	b	@	inf	(.f64 (+.f64 t (.f64 b z)) a)
0.0ms	a	@	inf	(.f64 (+.f64 t (.f64 b z)) a)
0.0ms	z	@	inf	(.f64 (+.f64 t (.f64 b z)) a)
0.0ms	a	@	-inf	(.f64 (+.f64 t (.f64 b z)) a)

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
841×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
822×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	167	8
2	2267	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (+.f64 t (.f64 b z)) a)

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`distribute-lft-out_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	331
1	37	331
2	48	331
3	50	331

Stop Event

1×

saturated

Counts

65 → 28

Calls

Call 1

Inputs
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(.f64 a (.f64 b z))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a t)
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(.f64 a (.f64 z b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))
(.f64 a (+.f64 (.f64 z b) t))

Outputs
(.f64 a (.f64 b z))
(.f64 (.f64 a b) z)
(.f64 z (.f64 a b))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(*.f64 a t)
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (.f64 b z))
(.f64 (.f64 a b) z)
(.f64 z (.f64 a b))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (.f64 b z))
(.f64 (.f64 a b) z)
(.f64 z (.f64 a b))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 b z)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(*.f64 a t)
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (.f64 z b))
(.f64 (.f64 a b) z)
(.f64 z (.f64 a b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (.f64 z b))
(.f64 (.f64 a b) z)
(.f64 z (.f64 a b))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 a (fma.f64 z b t))
(*.f64 a (fma.f64 b z t))

eval19.0ms (0.1%)

Compiler: Compiled 1011 to 374 computations (63% saved)

prune26.0ms (0.2%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	3	3
Picked	0	1	1
Done	0	10	10
Total	97	15	112

Error

Counts

112 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.8b	(.f64 (+.f64 t (.f64 b z)) a)
✓	57.5b	(.f64 z (.f64 a b))
✓	41.1b	(.f64 z (+.f64 (.f64 a b) y))
✓	22.1b	(fma.f64 z y x)
	38.8b	x
	31.0b	(+.f64 (.f64 y z) (.f64 t a))
	39.9b	(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
✓	24.0b	(+.f64 (*.f64 a t) x)
✓	46.1b	(*.f64 z y)
	56.6b	(/.f64 (.f64 (+.f64 (pow.f64 t 3) (pow.f64 (.f64 b z) 3)) a) (fma.f64 t t (.f64 (.f64 b z) (-.f64 (*.f64 b z) t))))
✓	56.6b	(.f64 a (.f64 z b))
✓	31.0b	(fma.f64 y z (*.f64 t a))
✓	33.5b	(+.f64 (.f64 a (.f64 b z)) x)
✓	47.5b	(*.f64 a t)
✓	22.2b	(+.f64 (*.f64 y z) x)

Compiler

Compiled 188 to 130 computations (30.9% saved)

regimes120.0ms (0.8%)

Counts

24 → 2

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(fma.f64 z y x)
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 y z (*.f64 t a))
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
(/.f64 (.f64 (+.f64 (pow.f64 t 3) (pow.f64 (.f64 b z) 3)) a) (fma.f64 t t (.f64 (.f64 b z) (-.f64 (*.f64 b z) t))))

Outputs
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Calls

7 calls:

25.0ms	a
16.0ms	y
16.0ms	x
14.0ms	t
14.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`z`
1.1b	1	`t`
0.0b	2	`a`
1.1b	1	`b`
1.1b	1	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 245 to 103 computations (58% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	-8.869927264892685e+59	-1.5651111568840862e+57

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes102.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(fma.f64 z y x)
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 y z (*.f64 t a))

Outputs
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Calls

7 calls:

18.0ms	b
14.0ms	a
13.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
13.0ms	z
12.0ms	y

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`z`
1.1b	1	`t`
1.1b	1	`a`
1.1b	1	`b`
1.1b	1	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 211 to 90 computations (57.3% saved)

regimes324.0ms (2.2%)

Counts

17 → 9

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))

Outputs
(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (*.f64 y z) x)
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (*.f64 a t) x)
(+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))

Calls

6 calls:

82.0ms	y
68.0ms	a
52.0ms	b
41.0ms	z
41.0ms	t

Results

Error	Segments	Branch
7.0b	3	`x`
6.5b	9	`y`
8.8b	5	`z`
9.9b	5	`t`
7.8b	8	`a`
13.7b	4	`b`

Compiler

Compiled 157 to 71 computations (54.8% saved)

bsearch414.0ms (2.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
24.0ms	7.898476932532458e+110	1.1004890497614463e+126
26.0ms	5.028134110147535e+89	1.1409204935819495e+91
161.0ms	2.40601789527207e+72	2.0985537829771444e+74
106.0ms	3.978036843758623e+49	1.428375371556636e+54
24.0ms	6.5423086453291045e+28	1.081022768509996e+31
25.0ms	1.71163143502842e-33	3.330024172080587e-31
24.0ms	-1.7988953426884438e-95	-9.527083633605729e-105
24.0ms	-8.391528994475008e-17	-8.018102863513293e-17

Compiler

Compiled 68 to 46 computations (32.4% saved)

regimes427.0ms (2.9%)

Counts

16 → 5

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))

Outputs
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (+.f64 (.f64 a t) x) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))

Calls

6 calls:

119.0ms	y
97.0ms	x
56.0ms	z
51.0ms	a
50.0ms	t

Results

Error	Segments	Branch
9.8b	5	`x`
8.8b	5	`y`
10.2b	3	`z`
10.1b	5	`t`
9.1b	6	`a`
13.7b	4	`b`

Compiler

Compiled 144 to 69 computations (52.1% saved)

bsearch214.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
51.0ms	6.473992267564717e-46	9.3795174394789e-46
56.0ms	-1.7988953426884438e-95	-9.527083633605729e-105
54.0ms	-79392.93470804516	-1.5900992932901534e-7
53.0ms	-3.7766664849515306e+62	-1.9950773494380373e+57

Compiler

Compiled 30 to 21 computations (30% saved)

regimes239.0ms (1.6%)

Counts

15 → 5

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))

Outputs
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))

Calls

6 calls:

70.0ms	x
39.0ms	t
38.0ms	y
34.0ms	b
26.0ms	z

Results

Error	Segments	Branch
10.9b	5	`x`
10.5b	5	`y`
10.9b	3	`z`
10.6b	5	`t`
12.9b	3	`a`
15.4b	3	`b`

Compiler

Compiled 133 to 68 computations (48.9% saved)

bsearch228.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	6.4010978689926995e-86	4.193220625569033e-85
153.0ms	-3.196392361513894e-115	-3.9332615781087546e-125
25.0ms	-79392.93470804516	-1.5900992932901534e-7
25.0ms	-3.7766664849515306e+62	-1.9950773494380373e+57

Compiler

Compiled 30 to 21 computations (30% saved)

regimes449.0ms (3%)

Counts

14 → 8

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))

Outputs
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (*.f64 y z) x)

Calls

6 calls:

182.0ms	a
82.0ms	x
66.0ms	b
43.0ms	y
37.0ms	t

Results

Error	Segments	Branch
10.4b	8	`x`
13.3b	6	`y`
14.0b	4	`z`
15.8b	5	`t`
12.4b	5	`a`
18.5b	6	`b`

Compiler

Compiled 122 to 66 computations (45.9% saved)

bsearch466.0ms (3.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
25.0ms	1.046233254558986e+109	8.103772747507e+113
147.0ms	3.903365503761319e+78	4.127917890868396e+82
24.0ms	2.6387694730173487e+60	2.728683163706504e+64
57.0ms	7.639766488332613e-38	1.0053090503966867e-37
24.0ms	-4.522030740222479e-203	-4.4322770409671225e-206
25.0ms	-1.8518734359802627e-165	-3.853912888855949e-166
163.0ms	-1.6995150115608045e-44	-3.3416088259860076e-46

Compiler

Compiled 30 to 21 computations (30% saved)

regimes1.1s (7.4%)

Counts

13 → 8

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))

Outputs
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 (.f64 a (.f64 b z)) x)
(+.f64 (*.f64 y z) x)

Calls

6 calls:

319.0ms	x
251.0ms	y
213.0ms	z
179.0ms	a
73.0ms	t

Results

Error	Segments	Branch
10.5b	8	`x`
13.3b	6	`y`
14.0b	4	`z`
15.8b	5	`t`
12.4b	5	`a`
18.5b	6	`b`

Compiler

Compiled 113 to 63 computations (44.2% saved)

bsearch354.0ms (2.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
26.0ms	1.046233254558986e+109	8.103772747507e+113
59.0ms	3.903365503761319e+78	4.127917890868396e+82
28.0ms	2.6387694730173487e+60	2.728683163706504e+64
25.0ms	7.639766488332613e-38	1.0053090503966867e-37
25.0ms	-4.522030740222479e-203	-4.4322770409671225e-206
162.0ms	-3.853912888855949e-166	-6.889977726691056e-169
28.0ms	-1.6995150115608045e-44	-3.3416088259860076e-46

Compiler

Compiled 30 to 21 computations (30% saved)

regimes204.0ms (1.4%)

Counts

9 → 5

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)

Outputs
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 b z)) x)
(*.f64 z y)
(+.f64 (*.f64 a t) x)
(+.f64 (*.f64 y z) x)

Calls

6 calls:

60.0ms	a
31.0ms	y
30.0ms	t
29.0ms	x
28.0ms	z

Results

Error	Segments	Branch
18.3b	5	`x`
14.2b	5	`y`
14.0b	5	`z`
15.8b	5	`t`
14.6b	5	`a`
19.9b	4	`b`

Compiler

Compiled 83 to 54 computations (34.9% saved)

bsearch106.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	2.868798289832802e-104	2.0783704273133514e-101
28.0ms	-3.5032997354167794e-183	-5.139874397517713e-195
25.0ms	-2.56244688292451e-179	-4.769123384888413e-182
25.0ms	-1.2141923891532768e-85	-1.523524015482702e-95

Compiler

Compiled 30 to 21 computations (30% saved)

regimes418.0ms (2.8%)

Counts

8 → 5

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))
(+.f64 (*.f64 y z) x)

Outputs
(+.f64 (*.f64 y z) x)
(.f64 a (.f64 z b))
(*.f64 z y)
(+.f64 (*.f64 a t) x)
(+.f64 (*.f64 y z) x)

Calls

6 calls:

192.0ms	y
85.0ms	x
70.0ms	z
26.0ms	t
21.0ms	b

Results

Error	Segments	Branch
18.3b	5	`x`
14.2b	5	`y`
14.0b	5	`z`
15.8b	5	`t`
15.7b	3	`a`
19.9b	4	`b`

Compiler

Compiled 76 to 51 computations (32.9% saved)

bsearch336.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	2.868798289832802e-104	2.0783704273133514e-101
49.0ms	-3.5032997354167794e-183	-5.139874397517713e-195
192.0ms	-2.56244688292451e-179	-4.769123384888413e-182
47.0ms	-3.2065664554200036e-162	-7.26945987595424e-163

Compiler

Compiled 30 to 21 computations (30% saved)

regimes305.0ms (2.1%)

Counts

7 → 7

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))
(.f64 a (.f64 z b))

Outputs
(*.f64 z y)
(+.f64 (*.f64 a t) x)
(.f64 a (.f64 z b))
(+.f64 (*.f64 a t) x)
(*.f64 z y)
(+.f64 (*.f64 a t) x)
(*.f64 z y)

Calls

6 calls:

88.0ms	a
84.0ms	b
51.0ms	z
32.0ms	t
26.0ms	x

Results

Error	Segments	Branch
19.0b	5	`x`
20.5b	4	`y`
19.0b	7	`z`
22.7b	3	`t`
20.4b	5	`a`
21.3b	5	`b`

Compiler

Compiled 71 to 49 computations (31% saved)

bsearch457.0ms (3.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
70.0ms	6.379916265851984e+69	7.442754851453958e+70
33.0ms	7.049346738355649e-23	9.748872316250776e-21
151.0ms	4.3479666149411404e-44	2.7622023025452035e-43
25.0ms	-2.56244688292451e-179	-4.769123384888413e-182
24.0ms	-3.2065664554200036e-162	-7.26945987595424e-163
154.0ms	-5.413824959206073e+25	-3.5934083539596216e+24

Compiler

Compiled 294 to 225 computations (23.5% saved)

regimes131.0ms (0.9%)

Counts

6 → 5

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)
(+.f64 (*.f64 a t) x)
(.f64 z (.f64 a b))

Outputs
(+.f64 (*.f64 a t) x)
(*.f64 z y)
(+.f64 (*.f64 a t) x)
(*.f64 z y)
(+.f64 (*.f64 a t) x)

Calls

6 calls:

27.0ms	z
25.0ms	x
23.0ms	b
21.0ms	a
19.0ms	y

Results

Error	Segments	Branch
19.0b	5	`x`
20.5b	4	`y`
20.2b	5	`z`
22.7b	3	`t`
20.4b	5	`a`
21.3b	5	`b`

Compiler

Compiled 66 to 47 computations (28.8% saved)

bsearch177.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
26.0ms	7.639766488332613e-38	1.0053090503966867e-37
27.0ms	7.014648478819684e-218	4.1639313566420533e-209
42.0ms	-4.9462780219398514e-157	-4.3290197927809656e-160
81.0ms	-6.917502193357058e-111	-2.0512630152222711e-112

Compiler

Compiled 30 to 21 computations (30% saved)

regimes192.0ms (1.3%)

Counts

4 → 7

Calls

Call 1

Inputs
x
x
(*.f64 z y)
(*.f64 a t)

Outputs
x
(*.f64 a t)
(*.f64 z y)
x
(*.f64 z y)
(*.f64 a t)
x

Calls

6 calls:

51.0ms	a
36.0ms	t
30.0ms	y
26.0ms	x
24.0ms	z

Results

Error	Segments	Branch
25.6b	7	`x`
31.2b	7	`y`
32.8b	5	`z`
30.3b	9	`t`
27.2b	10	`a`
35.2b	5	`b`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch161.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
28.0ms	3.8802728315676603e+84	2.5946083543892254e+85
26.0ms	1.83018330942356e+70	9.676171495214936e+73
26.0ms	7.771371624603878e+38	4.5539040483169253e+45
26.0ms	7.639766488332613e-38	1.0053090503966867e-37
27.0ms	7.014648478819684e-218	4.1639313566420533e-209
26.0ms	-7.0827906260497185e-25	-4.545772049471589e-35

Compiler

Compiled 30 to 21 computations (30% saved)

regimes180.0ms (1.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 z y)

Outputs
x
(*.f64 z y)
x

Calls

6 calls:

56.0ms	a
29.0ms	y
28.0ms	z
27.0ms	x
22.0ms	t

Results

Error	Segments	Branch
28.4b	3	`x`
34.3b	3	`y`
34.5b	3	`z`
37.1b	3	`t`
32.6b	8	`a`
36.3b	3	`b`

Compiler

Compiled 53 to 43 computations (18.9% saved)

bsearch97.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	7.639766488332613e-38	1.0053090503966867e-37
49.0ms	-1.8434710073620327e-54	-8.69395963718074e-55

Compiler

Compiled 30 to 21 computations (30% saved)

regimes47.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

6 calls:

9.0ms	a
8.0ms	z
7.0ms	y
7.0ms	x
7.0ms	b

Results

Error	Segments	Branch
38.8b	1	`x`
38.8b	1	`y`
38.8b	1	`z`
38.8b	1	`t`
38.8b	1	`a`
38.8b	1	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	983
1	188	983

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -99999999999999997168788049560464200849936328366177157906432) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(if (<=.f64 y -3404008565337227/40564819207303340847894502572032) (+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 y -337982585140587/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 2501552144801079/1461501637330902918203684832716283019655932542976) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (if (<=.f64 y 65423086453291044593666621440) (+.f64 (.f64 y z) x) (if (<=.f64 y 39780368437586229820408356376868127907634290360320) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (if (<=.f64 y 2406017895272070056477099288130400564205330596637830931963974624194068480) (+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 y 502813411014753525982301515626752470668723558458142941350483070357320946736940304585195520) (+.f64 (.f64 a t) x) (if (<=.f64 y 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b)) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b))))))))))))
(if (<=.f64 y -377666648495153056451378954173314163172774836886405305774112768) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y -1363960232418069/17179869184) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (if (<=.f64 y -337982585140587/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 4161321789195309/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))))))
(if (<=.f64 y -377666648495153056451378954173314163172774836886405305774112768) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y -1363960232418069/17179869184) (+.f64 (.f64 a t) x) (if (<=.f64 y -3545016092515535/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 560032238134451/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (+.f64 (.f64 a t) x) (+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))))))
(if (<=.f64 x -3413769161082893/200867255532373784442745261542645325315275374222849104412672) (+.f64 (.f64 y z) x) (if (<=.f64 x -1967200679474493184/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x -16345955753082796032/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (+.f64 (.f64 a t) (.f64 (.f64 a z) b)) (if (<=.f64 x 228670079621609/2993155353253689176481146537402947624255349848014848) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x 2638769473017348664510882759318214030678372750524854053109760) (+.f64 (.f64 a t) x) (if (<=.f64 x 3903365503761319062319205057649008879278900844276491305072610301749497568428032) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x 10462332545589860826546682452043077270601331420215987631515664010354350915582233887317721047120789408848019456) (+.f64 (.f64 a (.f64 b z)) x) (+.f64 (.f64 y z) x))))))))
(if (<=.f64 x -3413769161082893/200867255532373784442745261542645325315275374222849104412672) (+.f64 (.f64 y z) x) (if (<=.f64 x -409391911255523456/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x -16345955753082796032/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (+.f64 (.f64 a (.f64 b z)) x) (if (<=.f64 x 228670079621609/2993155353253689176481146537402947624255349848014848) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x 2638769473017348664510882759318214030678372750524854053109760) (+.f64 (.f64 a t) x) (if (<=.f64 x 3903365503761319062319205057649008879278900844276491305072610301749497568428032) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x 10462332545589860826546682452043077270601331420215987631515664010354350915582233887317721047120789408848019456) (+.f64 (.f64 a (.f64 b z)) x) (+.f64 (*.f64 y z) x))))))))
(if (<=.f64 z -8498378186244869/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (+.f64 (.f64 y z) x) (if (<=.f64 z -7482247513058669/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (+.f64 (.f64 a (.f64 b z)) x) (if (<=.f64 z -8380008108429465/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (.f64 z y) (if (<=.f64 z 1157492817840107/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (+.f64 (.f64 a t) x) (+.f64 (.f64 y z) x)))))
(if (<=.f64 z -1624230643239361/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (+.f64 (.f64 y z) x) (if (<=.f64 z -7482247513058669/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 a (.f64 z b)) (if (<=.f64 z -8380008108429465/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (.f64 z y) (if (<=.f64 z 1157492817840107/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (+.f64 (.f64 a t) x) (+.f64 (.f64 y z) x)))))
(if (<=.f64 z -51999999999999996980101120) (.f64 z y) (if (<=.f64 z -1624230643239361/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (+.f64 (.f64 a t) x) (if (<=.f64 z -7482247513058669/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 a (.f64 z b)) (if (<=.f64 z 8733641210896123/200867255532373784442745261542645325315275374222849104412672) (+.f64 (.f64 a t) x) (if (<=.f64 z 23987683933740576/340282366920938463463374607431768211456) (.f64 z y) (if (<=.f64 z 71999999999999999092281256006549495650014848893312846322354642460082176) (+.f64 (.f64 a t) x) (.f64 z y)))))))
(if (<=.f64 x -4682604660775239/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (+.f64 (.f64 a t) x) (if (<=.f64 x -122336492896397680/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 z y) (if (<=.f64 x 1742458987919553/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (+.f64 (.f64 a t) x) (if (<=.f64 x 228670079621609/2993155353253689176481146537402947624255349848014848) (.f64 z y) (+.f64 (*.f64 a t) x)))))
(if (<=.f64 x -1928119006910107/2722258935367507707706996859454145691648) x (if (<=.f64 x 1742458987919553/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 a t) (if (<=.f64 x 228670079621609/2993155353253689176481146537402947624255349848014848) (.f64 z y) (if (<=.f64 x 777137162460387813089080879341052624896) x (if (<=.f64 x 18301833094235599715143161645008780034807706531821582269404117028831232) (.f64 z y) (if (<=.f64 x 3880272831567660339694668831710569274115504535312479039982650905652075199513738870784) (.f64 a t) x))))))
(if (<=.f64 x -6361584645237615/3450873173395281893717377931138512726225554486085193277581262111899648) x (if (<=.f64 x 228670079621609/2993155353253689176481146537402947624255349848014848) (*.f64 z y) x))
x

Outputs
(if (<=.f64 a -99999999999999997168788049560464200849936328366177157906432) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(if (<=.f64 a -99999999999999997168788049560464200849936328366177157906432) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z))))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z)))
(if (<=.f64 y -3404008565337227/40564819207303340847894502572032) (+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 y -337982585140587/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 2501552144801079/1461501637330902918203684832716283019655932542976) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (if (<=.f64 y 65423086453291044593666621440) (+.f64 (.f64 y z) x) (if (<=.f64 y 39780368437586229820408356376868127907634290360320) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (if (<=.f64 y 2406017895272070056477099288130400564205330596637830931963974624194068480) (+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 y 502813411014753525982301515626752470668723558458142941350483070357320946736940304585195520) (+.f64 (.f64 a t) x) (if (<=.f64 y 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (+.f64 (.f64 z y) (.f64 t a)) (.f64 (.f64 a z) b)) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b))))))))))))
(if (<=.f64 y -3404008565337227/40564819207303340847894502572032) (+.f64 (.f64 b (.f64 a z)) (+.f64 (.f64 y z) (.f64 a t))) (if (<=.f64 y -337982585140587/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 2501552144801079/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 b (.f64 a z)) (+.f64 x (.f64 a t))) (if (<=.f64 y 65423086453291044593666621440) (+.f64 x (.f64 y z)) (if (<=.f64 y 39780368437586229820408356376868127907634290360320) (+.f64 (.f64 b (.f64 a z)) (+.f64 x (.f64 a t))) (if (<=.f64 y 2406017895272070056477099288130400564205330596637830931963974624194068480) (+.f64 (.f64 b (.f64 a z)) (+.f64 (.f64 y z) (.f64 a t))) (if (<=.f64 y 502813411014753525982301515626752470668723558458142941350483070357320946736940304585195520) (+.f64 x (.f64 a t)) (if (<=.f64 y 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (.f64 b (.f64 a z)) (+.f64 (.f64 y z) (.f64 a t))) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b))))))))))))
(if (<=.f64 y -377666648495153056451378954173314163172774836886405305774112768) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y -1363960232418069/17179869184) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (if (<=.f64 y -337982585140587/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 4161321789195309/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (+.f64 (.f64 a t) x) (.f64 (.f64 a z) b)) (+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))))))
(if (<=.f64 y -377666648495153056451378954173314163172774836886405305774112768) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y -1363960232418069/17179869184) (+.f64 (.f64 b (.f64 a z)) (+.f64 x (.f64 a t))) (if (<=.f64 y -337982585140587/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 4161321789195309/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (.f64 b (.f64 a z)) (+.f64 x (.f64 a t))) (+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))))))
(if (<=.f64 y -377666648495153056451378954173314163172774836886405305774112768) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y -1363960232418069/17179869184) (+.f64 (.f64 a t) x) (if (<=.f64 y -3545016092515535/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 560032238134451/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (+.f64 (.f64 a t) x) (+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))))))
(if (<=.f64 y -377666648495153056451378954173314163172774836886405305774112768) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y -1363960232418069/17179869184) (+.f64 x (.f64 a t)) (if (<=.f64 y -3545016092515535/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 y 560032238134451/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (+.f64 x (.f64 a t)) (+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))))))
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(if (<=.f64 x -6361584645237615/3450873173395281893717377931138512726225554486085193277581262111899648) x (if (<=.f64 x 228670079621609/2993155353253689176481146537402947624255349848014848) (*.f64 y z) x))
x

Compiler

Compiled 764 to 345 computations (54.8% saved)

soundness31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

89×	`fma-def_binary64`
23×	`associate-+l+_binary64`
21×	`associate-+r+_binary64`
19×	`+-commutative_binary64`
10×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	27	16
2	69	15
3	148	13
4	191	13
5	203	13
6	206	13

Stop Event

1×

saturated

Compiler

Compiled 232 to 140 computations (39.7% saved)

end150.0ms (1%)

Compiler: Compiled 686 to 196 computations (71.4% saved)