Details

analyze938.0ms (6.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
0%	0%	99.7%	0.3%	0%	0%	0%	7
0%	0%	99.7%	0.3%	0%	0%	0%	8
0%	0%	99.7%	0.3%	0%	0%	0%	9
0%	0%	99.7%	0.3%	0%	0%	0%	10
0%	0%	99.7%	0.3%	0%	0%	0%	11
0%	0%	99.7%	0.3%	0%	0%	0%	12

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample2.1s (14%)

Results

1.4s	8256×	body	256	valid
619.0ms	3945×	body	256	infinite

Bogosity

preprocess59.0ms (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)

simplify11.0ms (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
▶	2.0b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
▶	2.5b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y z))
✓	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))
✓	6.9b	(.f64 (.f64 a z) b)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series27.0ms (0.2%)

Counts

4 → 204

Calls

51 calls:

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

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

simplify191.0ms (1.3%)

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	791	1693
4	2008	1693
5	3361	1693
6	3851	1693
7	4155	1693
8	4181	1693
9	4181	1693
10	4317	1693
11	4317	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 (.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)))
(*.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)

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

localize12.0ms (0.1%)

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)

series8.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

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

rewrite62.0ms (0.4%)

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)

eval436.0ms (2.9%)

Compiler: Compiled 4613 to 1068 computations (76.8% saved)

prune54.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	236	7	243
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	238	7	245

Error

0.0b

Counts

245 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.5b	(.f64 z (+.f64 (.f64 a b) y))
	16.4b	(+.f64 (fma.f64 a t x) (.f64 (.f64 a z) b))
▶	2.8b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
▶	29.0b	(+.f64 x (.f64 (.f64 a z) b))
	15.0b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
▶	16.4b	(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
▶	40.0b	(.f64 (+.f64 t (.f64 b z)) a)

Compiler

Compiled 216 to 142 computations (34.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
✓	0.0b	(+.f64 (*.f64 a b) y)
✓	0.0b	(+.f64 (*.f64 a t) x)
✓	2.6b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 48 to 12 computations (75% saved)

series20.0ms (0.1%)

Counts

4 → 108

Calls

48 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log-prod_binary64`
452×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	296	31
2	4496	31

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1346×	`fma-neg_binary64`
834×	`fma-def_binary64`
180×	`distribute-rgt-in_binary64`
167×	`cancel-sign-sub-inv_binary64`
129×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	899
1	154	896
2	311	896
3	567	896
4	1335	896
5	2476	896
6	3355	896
7	4043	896
8	4067	896
9	4067	896
10	4269	896
11	4269	896

Stop Event

1×

saturated

Counts

274 → 200

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 a b) y)
	2.6b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 25 to 9 computations (64% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 t (*.f64 b z))
✓	2.0b	(.f64 (+.f64 t (.f64 b z)) a)

Compiler

Compiled 25 to 9 computations (64% saved)

series11.0ms (0.1%)

Counts

2 → 71

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(.f64 (+.f64 t (.f64 b z)) a)
1.0ms	t	@	-inf	(+.f64 t (*.f64 b z))
1.0ms	a	@	inf	(.f64 (+.f64 t (.f64 b z)) a)
1.0ms	a	@	-inf	(.f64 (+.f64 t (.f64 b z)) a)
1.0ms	a	@	0	(.f64 (+.f64 t (.f64 b z)) a)

rewrite67.0ms (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	17
1	167	13
2	2267	13

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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)))))))

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

simplify19.0ms (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	445
1	37	445
2	48	445
3	50	445

Stop Event

1×

saturated

Counts

127 → 67

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 a z) b))
	6.9b	(.f64 (.f64 a z) b)

Compiler

Compiled 25 to 9 computations (64% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`pow1_binary64`
862×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	8
2	2328	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	342
1	20	342
2	29	342
3	31	342

Stop Event

1×

saturated

Counts

84 → 43

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a (.f64 z b)) x)
✓	0.0b	(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
✓	4.1b	(.f64 a (.f64 z b))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series12.0ms (0.1%)

Counts

3 → 108

Calls

36 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
652×	`fma-def_binary64`
336×	`pow2_binary64`
330×	`fma-neg_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	242	27
2	3493	26

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	813
1	85	813
2	190	813
3	381	813
4	862	813
5	1373	813
6	1603	813
7	1806	813
8	1879	813
9	1889	813

Stop Event

1×

saturated

Counts

291 → 203

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

eval214.0ms (1.4%)

Compiler: Compiled 9430 to 2408 computations (74.5% saved)

prune229.0ms (1.5%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	599	12	611
Fresh	2	0	2
Picked	1	0	1
Done	1	3	4
Total	603	15	618

Error

Counts

618 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	x
	15.5b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
	26.1b	(+.f64 (*.f64 y z) x)
	17.3b	(+.f64 (.f64 a t) (+.f64 (pow.f64 (cbrt.f64 (.f64 z (*.f64 b a))) 3) x))
▶	50.1b	(*.f64 t a)
▶	13.2b	(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))
▶	52.4b	(.f64 z (.f64 a b))
	26.7b	(fma.f64 a t x)
▶	26.7b	(+.f64 (*.f64 a t) x)
	49.3b	(*.f64 z y)
✓	38.5b	(.f64 z (+.f64 (.f64 a b) y))
✓	29.0b	(+.f64 x (.f64 (.f64 a z) b))
	52.4b	(.f64 (.f64 z b) a)
▶	29.2b	(+.f64 (.f64 a (.f64 z b)) x)
✓	40.0b	(.f64 (+.f64 t (.f64 b z)) a)

Compiler

Compiled 316 to 225 computations (28.8% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 10 computations (67.7% saved)

series8.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`fma-def_binary64`
567×	`log-prod_binary64`
449×	`pow-prod-down_binary64`
306×	`pow2_binary64`
304×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	220	9
2	3163	9

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	467
1	23	467
2	32	467
3	34	467

Stop Event

1×

saturated

Counts

153 → 104

Calls

Call 1

Inputs
(+.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 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))

Outputs
(+.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 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z 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 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(*.f64 a t)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (.f64 a t))
(fma.f64 y z (*.f64 a t))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 a t (fma.f64 y z 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
✓	4.6b	(.f64 z (.f64 a b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.4%)

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))))))))

simplify21.0ms (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))

localize13.0ms (0.1%)

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)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a (.f64 z b)) x)
	4.1b	(.f64 a (.f64 z b))

Compiler

Compiled 25 to 9 computations (64% saved)

eval179.0ms (1.2%)

Compiler: Compiled 3757 to 1118 computations (70.2% saved)

prune70.0ms (0.5%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	283	6	289
Fresh	5	2	7
Picked	0	1	1
Done	1	6	7
Total	289	15	304

Error

Counts

304 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	x
▶	49.3b	(*.f64 z y)
✓	50.1b	(*.f64 t a)
✓	52.4b	(.f64 z (.f64 a b))
	52.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 a b))) 3)
✓	29.0b	(+.f64 x (.f64 (.f64 a z) b))
✓	26.7b	(+.f64 (*.f64 a t) x)
▶	29.7b	(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
✓	38.5b	(.f64 z (+.f64 (.f64 a b) y))
	26.7b	(fma.f64 t a x)
▶	52.4b	(.f64 (.f64 z b) a)
✓	29.2b	(+.f64 (.f64 a (.f64 z b)) x)
✓	40.0b	(.f64 (+.f64 t (.f64 b z)) a)
▶	26.1b	(+.f64 (*.f64 z y) x)
▶	36.9b	(+.f64 (.f64 z y) (.f64 a t))

Compiler

Compiled 256 to 187 computations (27% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite73.0ms (0.5%)

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 z y) x)

Outputs

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

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	159
1	9	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

Inputs
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 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)

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

localize12.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.1b	(.f64 (.f64 z b) a)

Compiler

Compiled 17 to 8 computations (52.9% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(.f64 (.f64 z b) a)
1.0ms	z	@	0	(.f64 (.f64 z b) a)
0.0ms	b	@	inf	(.f64 (.f64 z b) a)
0.0ms	z	@	inf	(.f64 (.f64 z b) a)
0.0ms	a	@	inf	(.f64 (.f64 z b) a)

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
531×	`add-log-exp_binary64`
531×	`log1p-expm1-u_binary64`
531×	`expm1-log1p-u_binary64`
518×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1452	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify17.0ms (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 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))

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 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))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2270	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.2%)

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

85 → 41

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))

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
✓	4.6b	(.f64 z (.f64 b a))

Compiler

Compiled 35 to 14 computations (60% saved)

series11.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
442×	`fma-def_binary64`
428×	`prod-exp_binary64`
361×	`pow-prod-down_binary64`
345×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	222	15
2	2806	15

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

Inputs
(.f64 z (.f64 b a))
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)

Outputs

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	594
1	21	594
2	30	594
3	32	594

Stop Event

1×

saturated

Counts

237 → 160

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

eval60.0ms (0.4%)

Compiler: Compiled 3345 to 1193 computations (64.3% saved)

prune60.0ms (0.4%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	2	1	3
Picked	0	1	1
Done	0	11	11
Total	252	15	267

Error

Counts

267 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	x
✓	38.5b	(.f64 z (+.f64 (.f64 a b) y))
✓	50.1b	(*.f64 t a)
✓	52.4b	(.f64 z (.f64 a b))
✓	52.4b	(.f64 (.f64 z b) a)
	52.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 b a))) 3)
✓	26.7b	(+.f64 (*.f64 a t) x)
✓	29.7b	(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
✓	49.3b	(*.f64 z y)
✓	29.0b	(+.f64 x (.f64 (.f64 a z) b))
	26.7b	(fma.f64 t a x)
✓	29.2b	(+.f64 (.f64 a (.f64 z b)) x)
✓	40.0b	(.f64 (+.f64 t (.f64 b z)) a)
✓	26.1b	(+.f64 (*.f64 z y) x)
✓	36.9b	(+.f64 (.f64 z y) (.f64 a t))

Compiler

Compiled 173 to 126 computations (27.2% saved)

regimes239.0ms (1.6%)

Counts

29 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 z y) x)
(+.f64 (*.f64 y z) x)
(.f64 z (.f64 a b))
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(fma.f64 t a x)
(fma.f64 a t x)
(+.f64 (fma.f64 a t x) (.f64 (.f64 a z) b))
(pow.f64 (cbrt.f64 (.f64 z (.f64 b a))) 3)
(pow.f64 (cbrt.f64 (.f64 z (.f64 a b))) 3)
(+.f64 (.f64 a t) (+.f64 (pow.f64 (cbrt.f64 (.f64 z (*.f64 b a))) 3) x))
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))

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

Calls

7 calls:

41.0ms	a
41.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
37.0ms	z
35.0ms	b
30.0ms	y

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
1.0b	2	`z`
2.0b	1	`t`
0.0b	3	`a`
0.8b	2	`b`
0.0b	3	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 273 to 107 computations (60.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1076186026426945e+308	+inf
0.0ms	-inf	-6.224225285301313e+305

Compiler

Compiled 30 to 21 computations (30% saved)

regimes132.0ms (0.9%)

Counts

21 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 z y) x)
(+.f64 (*.f64 y z) x)
(.f64 z (.f64 a b))
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))

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

Calls

6 calls:

32.0ms	t
29.0ms	a
24.0ms	b
12.0ms	y
12.0ms	x

Results

Error	Segments	Branch
2.8b	1	`x`
2.8b	1	`y`
2.8b	1	`z`
1.0b	3	`t`
1.6b	2	`a`
2.8b	1	`b`

Compiler

Compiled 179 to 75 computations (58.1% saved)

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	-1.856297627304547e-252	-8.701191379877448e-257
26.0ms	-1.4637220511651103e-5	-5.862580620067519e-13

Compiler

Compiled 30 to 21 computations (30% saved)

regimes237.0ms (1.6%)

Counts

20 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 z y) x)
(+.f64 (*.f64 y z) x)
(.f64 z (.f64 a b))
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))

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

Calls

6 calls:

51.0ms	b
47.0ms	x
45.0ms	z
33.0ms	a
28.0ms	t

Results

Error	Segments	Branch
10.1b	5	`x`
7.0b	3	`y`
5.5b	4	`z`
5.0b	3	`t`
6.1b	3	`a`
7.0b	5	`b`

Compiler

Compiled 166 to 74 computations (55.4% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.679994329274377e-104	7.846198881681926e-102
24.0ms	-4.264095502311943e+42	-1.016741958851527e+41

Compiler

Compiled 30 to 21 computations (30% saved)

regimes283.0ms (1.9%)

Counts

18 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 z y) x)
(+.f64 (*.f64 y z) x)
(.f64 z (.f64 a b))
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))

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

Calls

6 calls:

83.0ms	y
52.0ms	b
43.0ms	a
40.0ms	x
33.0ms	z

Results

Error	Segments	Branch
11.5b	3	`x`
8.7b	7	`y`
6.7b	3	`z`
6.7b	3	`t`
9.2b	5	`a`
7.7b	5	`b`

Compiler

Compiled 144 to 71 computations (50.7% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.3800061980030278e-67	9.658931283005435e-66
24.0ms	-4.264095502311943e+42	-1.016741958851527e+41

Compiler

Compiled 30 to 21 computations (30% saved)

regimes234.0ms (1.6%)

Counts

17 → 4

Calls

Call 1

Inputs
x
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 z y) x)
(+.f64 (*.f64 y z) x)
(.f64 z (.f64 a b))
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)

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

Calls

6 calls:

44.0ms	a
41.0ms	b
40.0ms	y
39.0ms	z
38.0ms	t

Results

Error	Segments	Branch
14.1b	3	`x`
13.1b	5	`y`
9.6b	4	`z`
11.1b	3	`t`
10.3b	4	`a`
12.6b	5	`b`

Compiler

Compiled 135 to 70 computations (48.1% saved)

bsearch92.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
25.0ms	1.677715437472011e-96	2.4441303390689974e-93
26.0ms	-5.820976346244592e-214	-7.599809704217061e-215
42.0ms	-5.870048260948902e-152	-1.5134089619396905e-154

Compiler

Compiled 30 to 21 computations (30% saved)

regimes469.0ms (3.2%)

Counts

16 → 10

Calls

Call 1

Inputs
x
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 z y) x)
(+.f64 (*.f64 y z) x)
(.f64 z (.f64 a b))
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (.f64 a (.f64 z b)) x)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)

Outputs
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 (*.f64 z y) x)
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 x (.f64 (.f64 a z) b))
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (*.f64 a t) x)
(+.f64 (.f64 z y) (.f64 a t))
(+.f64 (*.f64 a t) x)
(+.f64 (*.f64 z y) x)
(+.f64 (+.f64 0 (.f64 z (.f64 b a))) x)

Calls

6 calls:

128.0ms	z
82.0ms	a
81.0ms	t
64.0ms	y
63.0ms	x

Results

Error	Segments	Branch
16.3b	6	`x`
17.0b	6	`y`
13.4b	10	`z`
15.2b	7	`t`
15.0b	6	`a`
17.5b	6	`b`

Compiler

Compiled 126 to 69 computations (45.2% saved)

bsearch815.0ms (5.5%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
62.0ms	2.844767086413971e+123	1.2707493785573564e+128
25.0ms	6.3392757371517026e-77	6.246176812659349e-72
26.0ms	-5.820976346244592e-214	-7.599809704217061e-215
29.0ms	-7.363062941310546e-147	-6.650098262121761e-149
25.0ms	-3.6262116036236815e-91	-2.8226328373466915e-92
59.0ms	-6.950156675137166e-68	-1.3925192894073666e-81
183.0ms	-1.4624629237885058e-22	-6.121353601863153e-23
57.0ms	-0.0028340895768170717	-2.002100484466549e-7
347.0ms	-1.9023268456385146e+30	-8.176525886887302e+29

Compiler

Compiled 384 to 284 computations (26% saved)

regimes1.1s (7.4%)

Counts

15 → 11

Calls

Call 1

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

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

Calls

6 calls:

321.0ms	t
271.0ms	x
225.0ms	b
100.0ms	y
96.0ms	a

Results

Error	Segments	Branch
16.3b	6	`x`
17.3b	6	`y`
12.7b	11	`z`
14.1b	9	`t`
15.0b	6	`a`
17.5b	6	`b`

Compiler

Compiled 117 to 64 computations (45.3% saved)

bsearch952.0ms (6.4%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
199.0ms	1.6138170297141167e+186	7.691224931158707e+201
62.0ms	2.844767086413971e+123	1.2707493785573564e+128
186.0ms	6.3392757371517026e-77	6.246176812659349e-72
77.0ms	-5.820976346244592e-214	-7.599809704217061e-215
151.0ms	-7.363062941310546e-147	-6.650098262121761e-149
26.0ms	-3.6262116036236815e-91	-2.8226328373466915e-92
48.0ms	-6.950156675137166e-68	-1.3925192894073666e-81
26.0ms	-1.4624629237885058e-22	-6.121353601863153e-23
59.0ms	-0.0028340895768170717	-2.002100484466549e-7
118.0ms	-1.9023268456385146e+30	-8.176525886887302e+29

Compiler

Compiled 648 to 468 computations (27.8% saved)

regimes656.0ms (4.4%)

Counts

14 → 9

Calls

Call 1

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

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

Calls

6 calls:

251.0ms	z
167.0ms	a
73.0ms	b
67.0ms	t
54.0ms	x

Results

Error	Segments	Branch
16.3b	6	`x`
18.5b	4	`y`
13.7b	9	`z`
14.3b	9	`t`
16.9b	5	`a`
17.5b	6	`b`

Compiler

Compiled 110 to 61 computations (44.5% saved)

bsearch470.0ms (3.2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
33.0ms	1.6138170297141167e+186	7.691224931158707e+201
57.0ms	2.844767086413971e+123	1.2707493785573564e+128
32.0ms	6.3392757371517026e-77	6.246176812659349e-72
26.0ms	-5.820976346244592e-214	-7.599809704217061e-215
42.0ms	-7.363062941310546e-147	-6.650098262121761e-149
173.0ms	-2.801978966197514e-8	-2.5451141947597224e-8
25.0ms	-0.0028340895768170717	-2.002100484466549e-7
82.0ms	-1.9023268456385146e+30	-8.176525886887302e+29

Compiler

Compiled 648 to 468 computations (27.8% saved)

regimes283.0ms (1.9%)

Counts

12 → 9

Calls

Call 1

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

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

Calls

6 calls:

85.0ms	t
49.0ms	z
41.0ms	a
40.0ms	b
35.0ms	x

Results

Error	Segments	Branch
16.9b	5	`x`
19.8b	3	`y`
17.5b	6	`z`
14.4b	9	`t`
16.9b	5	`a`
20.0b	5	`b`

Compiler

Compiled 96 to 56 computations (41.7% saved)

bsearch286.0ms (1.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
45.0ms	1.3965305626951928e+71	2.322634972165274e+73
46.0ms	5.765230016814161e-27	1.8447697416161706e-23
69.0ms	1.679994329274377e-104	7.846198881681926e-102
23.0ms	1.5580369987464485e-237	2.5627234634367245e-224
24.0ms	-1.466965972060633e-191	-1.2782155891513799e-193
26.0ms	-385373528822530050.0	-295238915164915.75
26.0ms	-1.8052442541423586e+21	-385373528822530050.0
26.0ms	-7.6030415784995e+39	-1.2563887371064196e+39

Compiler

Compiled 30 to 21 computations (30% saved)

regimes261.0ms (1.8%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

6 calls:

78.0ms	b
48.0ms	t
37.0ms	a
33.0ms	x
31.0ms	z

Results

Error	Segments	Branch
17.8b	5	`x`
19.8b	3	`y`
18.8b	4	`z`
18.6b	5	`t`
18.5b	3	`a`
21.6b	6	`b`

Compiler

Compiled 89 to 54 computations (39.3% saved)

bsearch105.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.0113527231817214e+43	2.168173400938998e+47
27.0ms	-8.467391771131245e-60	-6.066155337365186e-60
26.0ms	-3.039470356861945e+23	-14319235901019094.0
29.0ms	-2.600896127997836e+54	-8.863191899706931e+52

Compiler

Compiled 30 to 21 computations (30% saved)

regimes163.0ms (1.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	b
32.0ms	t
27.0ms	y
26.0ms	x
25.0ms	z

Results

Error	Segments	Branch
23.7b	4	`x`
19.8b	3	`y`
20.1b	3	`z`
18.6b	5	`t`
18.5b	3	`a`
23.1b	4	`b`

Compiler

Compiled 82 to 53 computations (35.4% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.6304008924069853e-22	3.6980325080341235e-22
25.0ms	-4.153610336901004e-10	-1.2163075423958212e-11

Compiler

Compiled 30 to 21 computations (30% saved)

regimes76.0ms (0.5%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

6 calls:

20.0ms	a
16.0ms	z
15.0ms	y
10.0ms	t
6.0ms	b

Results

Error	Segments	Branch
26.1b	1	`x`
24.8b	3	`y`
25.0b	3	`z`
24.8b	2	`t`
22.7b	4	`a`
26.1b	1	`b`

Compiler

Compiled 72 to 49 computations (31.9% saved)

bsearch360.0ms (2.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
184.0ms	9.265588778549715e+111	2.6361916507800177e+112
151.0ms	4.477332742621247e+40	1.4805749594248806e+42
24.0ms	-8409470.535571951	-3.989862982799764e-7

Compiler

Compiled 294 to 225 computations (23.5% saved)

regimes340.0ms (2.3%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

6 calls:

175.0ms	y
57.0ms	t
33.0ms	x
32.0ms	a
26.0ms	z

Results

Error	Segments	Branch
29.5b	8	`x`
33.8b	5	`y`
34.2b	6	`z`
33.4b	6	`t`
31.5b	8	`a`
37.9b	3	`b`

Compiler

Compiled 57 to 44 computations (22.8% saved)

bsearch406.0ms (2.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
44.0ms	2.0113527231817214e+43	2.168173400938998e+47
46.0ms	9.444562194570417e-69	1.835202608071378e-68
46.0ms	2.933725948432046e-98	8.82485311030659e-98
31.0ms	-1.042917871466028e-238	-8.807375359718119e-240
177.0ms	-6.499506491571345e-113	-7.427479229667607e-118
36.0ms	-7.363111200179054e+27	-3.039470356861945e+23
27.0ms	-8.863191899706931e+52	-7.106248815366923e+50

Compiler

Compiled 30 to 21 computations (30% saved)

regimes103.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 t a)

Outputs
x
(*.f64 t a)
x

Calls

6 calls:

26.0ms	x
18.0ms	b
15.0ms	z
14.0ms	a
14.0ms	t

Results

Error	Segments	Branch
33.2b	3	`x`
38.2b	3	`y`
37.2b	3	`z`
34.7b	4	`t`
35.0b	4	`a`
38.0b	3	`b`

Compiler

Compiled 54 to 43 computations (20.4% saved)

bsearch75.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	3.89552208019858e+19	1.0547045870669413e+23
46.0ms	-6.499506491571345e-113	-7.427479229667607e-118

Compiler

Compiled 30 to 21 computations (30% saved)

regimes24.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

6 calls:

4.0ms	y
4.0ms	a
4.0ms	x
4.0ms	t
4.0ms	z

Results

Error	Segments	Branch
39.4b	1	`x`
39.4b	1	`y`
39.4b	1	`z`
39.4b	1	`t`
39.4b	1	`a`
39.4b	1	`b`

Compiler

Compiled 51 to 42 computations (17.6% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
11×	`*-commutative_binary64`
1×	`+-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	1096
1	219	1096

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) -inf.0) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (.f64 a t) x)) (if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) +inf.0) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (.f64 (*.f64 z b) a)))
(if (<=.f64 t -2160072485831039/147573952589676412928) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (.f64 a t) x)) (if (<=.f64 t -7661499098946121/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))))
(if (<=.f64 t -4264095502311943175629936740623389915348992) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x)) (if (<=.f64 t 2711353219972161/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 z y) (+.f64 (*.f64 a t) x))))
(if (<=.f64 t -4264095502311943175629936740623389915348992) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x)) (if (<=.f64 t 1047224653101243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x))))
(if (<=.f64 z -3461459620110967/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (if (<=.f64 z -7060289915936879/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 z 8069501228400739/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 (.f64 a t) x) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))))
(if (<=.f64 z -1900000000000000065928284864512) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -6534965638189041/2305843009213693952) (+.f64 (.f64 z y) x) (if (<=.f64 z -1555157328877715/10633823966279326983230456482242756608) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 z -2109664557638121/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 x (.f64 (.f64 a z) b)) (if (<=.f64 z -6653369035358441/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 z -6625157087350363/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (+.f64 (.f64 a t) x) (if (<=.f64 z -7060289915936879/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 z 1033066619238587/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 (.f64 a t) x) (if (<=.f64 z 3000000000000000079913820617576965753266490192118328943156409274757465791875205378996663746187550611535459965260897991000064) (+.f64 (.f64 z y) x) (+.f64 (+.f64 0 (.f64 z (.f64 b a))) x))))))))))
(if (<=.f64 z -1900000000000000065928284864512) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -6534965638189041/2305843009213693952) (+.f64 (.f64 z y) x) (if (<=.f64 z -1555157328877715/10633823966279326983230456482242756608) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 z -2109664557638121/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 x (.f64 (.f64 a z) b)) (if (<=.f64 z -6653369035358441/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 z -6625157087350363/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (+.f64 (.f64 a t) x) (if (<=.f64 z -7060289915936879/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 z 1033066619238587/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 (.f64 a t) x) (if (<=.f64 z 3000000000000000079913820617576965753266490192118328943156409274757465791875205378996663746187550611535459965260897991000064) (+.f64 (.f64 z y) x) (if (<=.f64 z 7500000000000000350876552778470315820330743294998543733215443408286746073661778027103798508960208990310865895767503988365250661113813991045032197444688467317884506228056287550727058666870356970636836864) (+.f64 (.f64 a (.f64 z b)) x) (.f64 z (+.f64 (.f64 a b) y))))))))))))
(if (<=.f64 z -1900000000000000065928284864512) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -6534965638189041/2305843009213693952) (+.f64 (.f64 z y) x) (if (<=.f64 z -4234230897816601/151115727451828646838272) (.f64 z (.f64 a b)) (if (<=.f64 z -6625157087350363/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (+.f64 (.f64 a t) x) (if (<=.f64 z -7060289915936879/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 z 1033066619238587/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 (.f64 a t) x) (if (<=.f64 z 3000000000000000079913820617576965753266490192118328943156409274757465791875205378996663746187550611535459965260897991000064) (+.f64 (.f64 z y) x) (if (<=.f64 z 7500000000000000350876552778470315820330743294998543733215443408286746073661778027103798508960208990310865895767503988365250661113813991045032197444688467317884506228056287550727058666870356970636836864) (+.f64 (.f64 a (.f64 z b)) x) (.f64 z (+.f64 (.f64 a b) y))))))))))
(if (<=.f64 t -7603041578499500171906563608014204436480) (+.f64 (.f64 a t) x) (if (<=.f64 t -1805244254142358618112) (+.f64 (.f64 z y) x) (if (<=.f64 t -385373528822530048) (.f64 t a) (if (<=.f64 t -1177435360105277/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 5711420404291665/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (+.f64 (.f64 z y) x) (if (<=.f64 t 2711353219972161/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 4017778925496657/696898287454081973172991196020261297061888) (+.f64 (.f64 a t) x) (if (<=.f64 t 139653056269519280667893498434563998943695661196435984040275520050429952) (+.f64 (.f64 z y) (.f64 a t)) (+.f64 (.f64 a t) x)))))))))
(if (<=.f64 x -2600896127997836148190013251530286797642508832880984064) (+.f64 (.f64 a t) x) (if (<=.f64 x -303947035686194485657600) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 x -7659820184141765/904625697166532776746648320380374280103671755200316906558262375061821325312) (.f64 (.f64 z b) a) (if (<=.f64 x 20113527231817213531989027263674991782133760) (+.f64 (.f64 z y) (.f64 a t)) (+.f64 (.f64 a t) x)))))
(if (<=.f64 a -2008562712359137/4835703278458516698824704) (+.f64 (.f64 a t) x) (if (<=.f64 a 6934958433728241/42535295865117307932921825928971026432) (+.f64 (.f64 z y) x) (+.f64 (*.f64 a t) x)))
(if (<=.f64 a -2257400057934821/268435456) (.f64 t a) (if (<=.f64 a 1449999999999999902604653227003918258536448) (+.f64 (.f64 z y) x) (if (<=.f64 a 9400000000000000154802459760671964757701179955736185932086661545476448622736870041979741568324008208248187387904) (.f64 t a) (+.f64 (.f64 z y) x))))
(if (<=.f64 x -88631918997069311903892142834850381879607405974650880) x (if (<=.f64 x -7363111200179053527518150656) (.f64 z y) (if (<=.f64 x -5631557711225429/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) x (if (<=.f64 x -1529242865447731/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (.f64 t a) (if (<=.f64 x 2257708749973491/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (.f64 z y) (if (<=.f64 x 2293457147010389/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 t a) (if (<=.f64 x 20113527231817213531989027263674991782133760) (*.f64 z y) x)))))))
(if (<=.f64 x -5631557711225429/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) x (if (<=.f64 x 38955220801985798144) (*.f64 t a) x))
x

Outputs
(if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) -inf.0) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (.f64 a t) x)) (if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) +inf.0) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (.f64 (*.f64 z b) a)))
(if (<=.f64 (+.f64 (+.f64 (.f64 t a) (+.f64 x (.f64 y z))) (.f64 (.f64 z a) b)) -inf.0) (+.f64 (.f64 z (+.f64 y (.f64 a b))) (+.f64 x (.f64 t a))) (if (<=.f64 (+.f64 (+.f64 (.f64 t a) (+.f64 x (.f64 y z))) (.f64 (.f64 z a) b)) +inf.0) (+.f64 (+.f64 (.f64 t a) (+.f64 x (.f64 y z))) (.f64 (.f64 z a) b)) (.f64 a (*.f64 z b))))
(if (<=.f64 t -2160072485831039/147573952589676412928) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (.f64 a t) x)) (if (<=.f64 t -7661499098946121/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))))
(if (<=.f64 t -2160072485831039/147573952589676412928) (+.f64 (.f64 z (+.f64 y (.f64 a b))) (+.f64 x (.f64 t a))) (if (<=.f64 t -7661499098946121/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 z (+.f64 y (.f64 a b))) (+.f64 x (*.f64 t a)))))
(if (<=.f64 t -4264095502311943175629936740623389915348992) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x)) (if (<=.f64 t 2711353219972161/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 z y) (+.f64 (*.f64 a t) x))))
(if (<=.f64 t -4264095502311943175629936740623389915348992) (+.f64 (+.f64 x (.f64 t a)) (.f64 y z)) (if (<=.f64 t 2711353219972161/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (+.f64 x (.f64 t a)) (*.f64 y z))))
(if (<=.f64 t -4264095502311943175629936740623389915348992) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x)) (if (<=.f64 t 1047224653101243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x))))
(if (<=.f64 t -4264095502311943175629936740623389915348992) (+.f64 (+.f64 x (.f64 t a)) (.f64 y z)) (if (<=.f64 t 1047224653101243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (+.f64 x (.f64 z (+.f64 y (.f64 a b)))) (+.f64 (+.f64 x (.f64 t a)) (.f64 y z))))
(if (<=.f64 z -3461459620110967/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (if (<=.f64 z -7060289915936879/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952) (+.f64 (.f64 z y) (.f64 a t)) (if (<=.f64 z 8069501228400739/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 (.f64 a t) x) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))))
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x

Compiler

Compiled 847 to 399 computations (52.9% saved)

soundness0.0ms (0%)

end179.0ms (1.2%)

Compiler: Compiled 763 to 222 computations (70.9% saved)