Details

analyze508.0ms (3.3%)

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)

sample2.3s (15%)

Results

1.5s	8256×	body	256	valid
796.0ms	3802×	body	256	infinite

Bogosity

preprocess101.0ms (0.6%)

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)

simplify19.0ms (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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.8b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
▶	2.7b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize75.0ms (0.5%)

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))
✓	6.2b	(.f64 (.f64 a z) b)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series46.0ms (0.3%)

Counts

4 → 204

Calls

51 calls:

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

rewrite113.0ms (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))))))

simplify201.0ms (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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
✓	1.7b	(fma.f64 a (fma.f64 z b t) x)

Compiler

Compiled 33 to 9 computations (72.7% saved)

series14.0ms (0.1%)

Counts

2 → 132

Calls

33 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
866×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	197	22
2	2355	22

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1240×	`fma-neg_binary64`
695×	`fma-def_binary64`
292×	`cancel-sign-sub-inv_binary64`
189×	`distribute-rgt-in_binary64`
128×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	1304
1	156	1301
2	286	1301
3	536	1301
4	1058	1301
5	2101	1301
6	3006	1301
7	3796	1301
8	4013	1301
9	4013	1301
10	4070	1301

Stop Event

1×

saturated

Counts

175 → 85

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

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

eval58.0ms (0.4%)

Compiler: Compiled 5208 to 1166 computations (77.6% saved)

prune116.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	275	14	289
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	277	14	291

Error

0.0b

Counts

291 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.3b	(.f64 (+.f64 t (.f64 b z)) a)
	17.2b	(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
▶	40.6b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
▶	10.7b	(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
	22.5b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2))
	24.6b	(fma.f64 z y x)
	38.7b	(.f64 z (+.f64 (.f64 a b) y))
	31.8b	(+.f64 x (.f64 (.f64 a z) b))
	17.2b	(fma.f64 a (fma.f64 b z t) x)
	24.2b	(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
▶	47.0b	(*.f64 z y)
	24.6b	(+.f64 (*.f64 y z) x)
▶	18.5b	(+.f64 (fma.f64 a t x) (.f64 (.f64 a z) b))
	25.1b	(+.f64 (fma.f64 a t (.f64 z y)) (.f64 (*.f64 a z) b))

Compiler

Compiled 404 to 270 computations (33.2% saved)

localize98.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 10 computations (67.7% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

24 calls:

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

rewrite78.0ms (0.5%)

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	14
1	220	14
2	3162	14

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
3×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	86
1	19	86
2	24	86

Stop Event

1×

saturated

Counts

175 → 159

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 t (*.f64 b z))
✓	1.7b	(.f64 (+.f64 t (.f64 b z)) a)

Compiler

Compiled 25 to 9 computations (64% saved)

series9.0ms (0.1%)

Counts

2 → 71

Calls

21 calls:

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

rewrite175.0ms (1.1%)

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))))))

simplify42.0ms (0.3%)

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 (.f64 a t) (.f64 (*.f64 a z) b))
	6.2b	(.f64 (.f64 a z) b)

Compiler

Compiled 30 to 10 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

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

Outputs

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

simplify177.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

131 → 92

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 a t x) (.f64 (.f64 a z) b))
	6.2b	(.f64 (.f64 a z) b)

Compiler

Compiled 33 to 10 computations (69.7% saved)

series5.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
416×	`pow-prod-down_binary64`
412×	`exp-prod_binary64`
334×	`fma-def_binary64`
290×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	209	12
2	2823	12

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

465×	`fma-neg_binary64`
423×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
71×	`unsub-neg_binary64`
66×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	486
1	97	486
2	200	486
3	389	486
4	866	486
5	1378	486
6	1608	486
7	1811	486
8	1884	486
9	1894	486

Stop Event

1×

saturated

Counts

140 → 100

Calls

Call 1

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

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

eval352.0ms (2.3%)

Compiler: Compiled 6359 to 1666 computations (73.8% saved)

prune266.0ms (1.7%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	441	13	454
Fresh	6	3	9
Picked	1	0	1
Done	1	3	4
Total	449	19	468

Error

Counts

468 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	26.4b	(fma.f64 a t x)
✓	47.0b	(*.f64 z y)
	33.1b	(fma.f64 a t (*.f64 y z))
▶	26.4b	(+.f64 (*.f64 a t) x)
	53.6b	(.f64 (.f64 z b) a)
	31.5b	(+.f64 x (.f64 a (.f64 z b)))
▶	24.6b	(fma.f64 z y x)
	47.6b	(+.f64 (.f64 a t) (pow.f64 (sqrt.f64 (.f64 a (*.f64 z b))) 2))
	33.1b	(+.f64 (.f64 y z) (.f64 a t))
	54.0b	(.f64 z (.f64 a b))
	40.3b	x
	49.4b	(fma.f64 (.f64 b (sqrt.f64 (.f64 a z))) (sqrt.f64 (.f64 a z)) (.f64 a t))
▶	48.5b	(*.f64 t a)
✓	39.3b	(.f64 (+.f64 t (.f64 b z)) a)
✓	40.6b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	31.5b	(fma.f64 a (*.f64 z b) x)
	24.6b	(+.f64 (*.f64 y z) x)
▶	31.8b	(+.f64 x (.f64 (.f64 a z) b))
▶	24.2b	(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))

Compiler

Compiled 426 to 294 computations (31% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
✓	0.0b	(+.f64 (*.f64 z b) t)
✓	1.7b	(.f64 a (+.f64 (.f64 z b) t))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series59.0ms (0.4%)

Counts

3 → 116

Calls

36 calls:

Time	Variable		Point	Expression
38.0ms	t	@	-inf	(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
6.0ms	a	@	-inf	(.f64 a (+.f64 (.f64 z b) t))
4.0ms	z	@	-inf	(.f64 a (+.f64 (.f64 z b) t))
1.0ms	a	@	0	(.f64 a (+.f64 (.f64 z b) t))
1.0ms	a	@	inf	(.f64 a (+.f64 (.f64 z b) t))

rewrite237.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
646×	`fma-def_binary64`
339×	`pow2_binary64`
296×	`fma-neg_binary64`
233×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	244	25
2	3613	25

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

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

Outputs

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

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

simplify164.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-neg_binary64`
495×	`fma-def_binary64`
167×	`cancel-sign-sub-inv_binary64`
95×	`distribute-rgt-in_binary64`
93×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	899
1	92	899
2	178	899
3	368	899
4	795	899
5	1353	899
6	1855	899
7	2246	899
8	2353	899
9	2357	899

Stop Event

1×

saturated

Counts

323 → 237

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

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 x (.f64 (.f64 a z) b))
	6.2b	(.f64 (.f64 a z) b)

Compiler

Compiled 25 to 9 computations (64% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite97.0ms (0.6%)

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)))))

simplify145.0ms (0.9%)

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)

localize6.0ms (0%)

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

eval118.0ms (0.8%)

Compiler: Compiled 5222 to 1410 computations (73% saved)

prune336.0ms (2.2%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	351	6	357
Fresh	6	5	11
Picked	0	1	1
Done	0	7	7
Total	357	19	376

Error

Counts

376 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	49.4b	(fma.f64 (.f64 b (sqrt.f64 (.f64 a z))) (sqrt.f64 (.f64 a z)) (.f64 a t))
	33.1b	(fma.f64 t a (*.f64 z y))
▶	31.5b	(+.f64 (.f64 a (.f64 z b)) x)
✓	40.6b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	42.8b	(+.f64 x (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2))
▶	26.4b	(fma.f64 t a x)
✓	31.8b	(+.f64 x (.f64 (.f64 a z) b))
▶	54.0b	(.f64 z (.f64 a b))
	40.3b	x
✓	47.0b	(*.f64 z y)
✓	26.4b	(+.f64 (*.f64 a t) x)
✓	48.5b	(*.f64 t a)
✓	39.3b	(.f64 (+.f64 t (.f64 b z)) a)
▶	31.8b	(fma.f64 (*.f64 a z) b x)
	53.6b	(.f64 (.f64 z b) a)
✓	24.6b	(fma.f64 z y x)
▶	24.6b	(+.f64 (*.f64 y z) x)
	33.1b	(+.f64 (.f64 y z) (.f64 t a))
✓	24.2b	(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))

Compiler

Compiled 362 to 250 computations (30.9% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series4.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 z (.f64 a b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (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))))))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

47 → 13

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a (.f64 z b)) x)
✓	5.2b	(.f64 a (.f64 z b))

Compiler

Compiled 25 to 9 computations (64% saved)

series8.0ms (0.1%)

Counts

2 → 51

Calls

21 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	354
1	19	354
2	28	354
3	30	354

Stop Event

1×

saturated

Counts

98 → 53

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 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 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 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 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)
(.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
x

localize5.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(fma.f64 (*.f64 a z) b x)

Compiler

Compiled 19 to 8 computations (57.9% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1630	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify17.0ms (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

69 → 26

Calls

Call 1

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

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

eval27.0ms (0.2%)

Compiler: Compiled 1447 to 440 computations (69.6% saved)

prune39.0ms (0.2%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	2	4	6
Picked	1	0	1
Done	0	12	12
Total	129	19	148

Error

Counts

148 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.4b	(+.f64 (*.f64 a t) x)
	40.3b	x
	49.4b	(fma.f64 (.f64 b (sqrt.f64 (.f64 a z))) (sqrt.f64 (.f64 a z)) (.f64 a t))
	33.1b	(fma.f64 t a (*.f64 z y))
	42.8b	(+.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2) x)
✓	40.6b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
✓	31.5b	(+.f64 (.f64 a (.f64 z b)) x)
✓	24.6b	(+.f64 (*.f64 y z) x)
	48.6b	(/.f64 (-.f64 (.f64 (.f64 a (.f64 z b)) (.f64 a (.f64 z b))) (.f64 x x)) (-.f64 (.f64 a (.f64 z b)) x))
✓	26.4b	(fma.f64 t a x)
✓	31.8b	(+.f64 x (.f64 (.f64 a z) b))
✓	47.0b	(*.f64 z y)
✓	48.5b	(*.f64 t a)
✓	39.3b	(.f64 (+.f64 t (.f64 b z)) a)
	53.6b	(.f64 (.f64 z b) a)
✓	24.6b	(fma.f64 z y x)
	33.1b	(+.f64 (.f64 y z) (.f64 t a))
✓	24.2b	(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
✓	54.0b	(.f64 z (.f64 a b))

Compiler

Compiled 250 to 167 computations (33.2% saved)

regimes190.0ms (1.2%)

Counts

38 → 3

Calls

Call 1

Inputs
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(.f64 z (.f64 a b))
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 x (.f64 a (.f64 z b)))
(+.f64 (.f64 y z) (.f64 a t))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 z b)) (.f64 a (.f64 z b))) (.f64 x x)) (-.f64 (.f64 a (.f64 z b)) x))
(fma.f64 t a x)
(fma.f64 a t x)
(fma.f64 z y x)
(fma.f64 t a (*.f64 z y))
(fma.f64 (*.f64 a z) b x)
(fma.f64 a t (*.f64 y z))
(fma.f64 a (*.f64 z b) x)
(+.f64 (fma.f64 a t x) (.f64 (.f64 a z) b))
(+.f64 (fma.f64 a t (.f64 z y)) (.f64 (*.f64 a z) b))
(fma.f64 a (fma.f64 b z t) x)
(+.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2) x)
(+.f64 x (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2))
(+.f64 (.f64 a t) (pow.f64 (sqrt.f64 (.f64 a (*.f64 z b))) 2))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2))
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
(fma.f64 (.f64 b (sqrt.f64 (.f64 a z))) (sqrt.f64 (.f64 a z)) (.f64 a t))

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

Calls

7 calls:

54.0ms	z
22.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
22.0ms	x
21.0ms	a
20.0ms	b

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
0.8b	3	`z`
1.8b	1	`t`
1.8b	1	`a`
1.8b	1	`b`
1.8b	1	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 366 to 123 computations (66.4% saved)

bsearch37.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	4.975965349032508e+256	9.91837881035595e+256
24.0ms	1.5703291912154536e-249	3.962103341258948e-247

Compiler

Compiled 174 to 117 computations (32.8% saved)

regimes191.0ms (1.2%)

Counts

36 → 2

Calls

Call 1

Inputs
x
x
(*.f64 t a)
(*.f64 z y)
(+.f64 (*.f64 a t) x)
(.f64 (.f64 z b) a)
(.f64 z (.f64 a b))
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 y z) (.f64 t a))
(+.f64 x (.f64 a (.f64 z b)))
(+.f64 (.f64 y z) (.f64 a t))
(.f64 (+.f64 t (.f64 b z)) a)
(.f64 z (+.f64 (.f64 a b) y))
(+.f64 x (.f64 (.f64 a z) b))
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 z b)) (.f64 a (.f64 z b))) (.f64 x x)) (-.f64 (.f64 a (.f64 z b)) x))
(fma.f64 t a x)
(fma.f64 a t x)
(fma.f64 z y x)
(fma.f64 t a (*.f64 z y))
(fma.f64 (*.f64 a z) b x)
(fma.f64 a t (*.f64 y z))
(fma.f64 a (*.f64 z b) x)
(+.f64 (fma.f64 a t x) (.f64 (.f64 a z) b))
(+.f64 (fma.f64 a t (.f64 z y)) (.f64 (*.f64 a z) b))
(fma.f64 a (fma.f64 b z t) x)
(+.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2) x)
(+.f64 x (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2))
(+.f64 (.f64 a t) (pow.f64 (sqrt.f64 (.f64 a (*.f64 z b))) 2))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (pow.f64 (sqrt.f64 (.f64 a (.f64 z b))) 2))

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

Calls

7 calls:

51.0ms	b
35.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
19.0ms	x
19.0ms	z
19.0ms	a

Results

Error	Segments	Branch
2.7b	1	`x`
2.7b	1	`y`
2.7b	1	`z`
2.7b	1	`t`
2.7b	1	`a`
1.6b	3	`b`
1.4b	2	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 342 to 117 computations (65.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.3169500956851503e+306

Compiler

Compiled 30 to 21 computations (30% saved)

regimes452.0ms (2.9%)

Counts

20 → 6

Calls

Call 1

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

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

Calls

6 calls:

102.0ms	t
90.0ms	z
75.0ms	b
67.0ms	a
55.0ms	x

Results

Error	Segments	Branch
5.1b	3	`x`
6.3b	3	`y`
8.2b	5	`z`
8.0b	6	`t`
4.9b	6	`a`
6.9b	3	`b`

Compiler

Compiled 168 to 71 computations (57.7% saved)

bsearch980.0ms (6.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
47.0ms	8.807898931961538e-58	1.0263192250649708e-47
50.0ms	-2.0307319620061763e-120	-3.116323963777475e-121
51.0ms	-2.5449072808821636e-60	-1.1893715896078757e-60
536.0ms	-2.488222151804848e+31	-1.1213896346376829e+31
296.0ms	-4.152369508884947e+101	-7.527051851069353e+99

Compiler

Compiled 414 to 285 computations (31.2% saved)

regimes358.0ms (2.3%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

6 calls:

61.0ms	b
60.0ms	z
59.0ms	y
57.0ms	a
55.0ms	t

Results

Error	Segments	Branch
7.8b	5	`x`
6.3b	3	`y`
9.4b	3	`z`
9.5b	3	`t`
5.9b	3	`a`
6.9b	3	`b`

Compiler

Compiled 157 to 70 computations (55.4% saved)

bsearch98.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	8.807898931961538e-58	1.0263192250649708e-47
74.0ms	-4.152369508884947e+101	-7.527051851069353e+99

Compiler

Compiled 254 to 175 computations (31.1% saved)

regimes282.0ms (1.8%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

6 calls:

77.0ms	t
59.0ms	x
51.0ms	b
34.0ms	y
27.0ms	a

Results

Error	Segments	Branch
11.3b	7	`x`
11.2b	3	`y`
12.8b	3	`z`
11.9b	9	`t`
8.6b	3	`a`
14.0b	5	`b`

Compiler

Compiled 148 to 69 computations (53.4% saved)

bsearch50.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	8.807898931961538e-58	1.0263192250649708e-47
25.0ms	-2.0980731287900596e-73	-8.201713519669358e-78

Compiler

Compiled 30 to 21 computations (30% saved)

regimes330.0ms (2.1%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

6 calls:

68.0ms	z
63.0ms	b
52.0ms	x
52.0ms	y
51.0ms	t

Results

Error	Segments	Branch
13.4b	7	`x`
14.8b	7	`y`
14.5b	9	`z`
16.2b	7	`t`
14.2b	5	`a`
16.9b	8	`b`

Compiler

Compiled 130 to 65 computations (50% saved)

bsearch141.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	6.957507898832278e-33	4.1814019306738066e-24
23.0ms	1.0780123679677304e-255	5.642031098623604e-243
24.0ms	1.0246143971709643e-307	1.170639342674792e-306
23.0ms	-6.2495148087402634e-83	-1.5349665955092422e-83
24.0ms	-1.4555404919756758e+53	-1.9380503935894148e+46
23.0ms	-2.6253938453907235e+107	-2.6137408000375136e+106

Compiler

Compiled 30 to 21 computations (30% saved)

regimes440.0ms (2.8%)

Counts

13 → 7

Calls

Call 1

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

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

Calls

6 calls:

152.0ms	z
89.0ms	y
63.0ms	b
54.0ms	t
52.0ms	x

Results

Error	Segments	Branch
15.1b	5	`x`
14.8b	7	`y`
15.6b	7	`z`
15.7b	8	`t`
15.8b	3	`a`
17.6b	8	`b`

Compiler

Compiled 109 to 57 computations (47.7% saved)

bsearch303.0ms (1.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
72.0ms	3.668089285901979e+79	4.005359366954478e+83
58.0ms	2.1416334490377924e-165	7.517281489792868e-156
44.0ms	1.9401533206040207e-295	1.4579942604879926e-289
27.0ms	-9.856332271791031e-147	-1.0600827966684176e-148
24.0ms	-2.900504814083603e-120	-5.331579678285671e-127
78.0ms	-3.755469762699624e-34	-8.408090426820411e-37

Compiler

Compiled 30 to 21 computations (30% saved)

regimes558.0ms (3.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

6 calls:

152.0ms	y
134.0ms	b
95.0ms	t
79.0ms	z
63.0ms	a

Results

Error	Segments	Branch
21.5b	5	`x`
16.5b	5	`y`
17.3b	5	`z`
19.7b	3	`t`
15.8b	3	`a`
20.9b	5	`b`

Compiler

Compiled 81 to 52 computations (35.8% saved)

bsearch74.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	8.807898931961538e-58	1.0263192250649708e-47
26.0ms	-1.1893715896078757e-60	-2.0980731287900596e-73

Compiler

Compiled 30 to 21 computations (30% saved)

regimes231.0ms (1.5%)

Counts

7 → 9

Calls

Call 1

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

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

Calls

6 calls:

72.0ms	y
41.0ms	t
34.0ms	z
30.0ms	b
26.0ms	x

Results

Error	Segments	Branch
23.3b	5	`x`
19.6b	9	`y`
22.7b	5	`z`
26.4b	1	`t`
23.0b	5	`a`
24.0b	5	`b`

Compiler

Compiled 71 to 50 computations (29.6% saved)

bsearch1.5s (9.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
71.0ms	2.0059873973662027e+247	6.420723118630195e+253
249.0ms	8.315865281868053e+171	2.1656708288761242e+176
50.0ms	4.005359366954478e+83	9.54172211265611e+83
37.0ms	-9.856332271791031e-147	-1.0600827966684176e-148
29.0ms	-2.900504814083603e-120	-5.331579678285671e-127
72.0ms	-1.3156571901672518e+100	-1.3400523469118426e+98
67.0ms	-8.71718206744736e+114	-1.0190429748967163e+113
970.0ms	-2.9132415551097665e+172	-1.1504745226086999e+160

Compiler

Compiled 624 to 480 computations (23.1% saved)

regimes212.0ms (1.4%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

6 calls:

60.0ms	z
50.0ms	y
47.0ms	b
24.0ms	x
24.0ms	a

Results

Error	Segments	Branch
23.5b	5	`x`
20.7b	7	`y`
22.7b	5	`z`
26.4b	1	`t`
23.0b	5	`a`
24.0b	5	`b`

Compiler

Compiled 66 to 48 computations (27.3% saved)

bsearch678.0ms (4.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
152.0ms	2.0059873973662027e+247	6.420723118630195e+253
175.0ms	8.315865281868053e+171	2.1656708288761242e+176
65.0ms	4.005359366954478e+83	9.54172211265611e+83
26.0ms	-1.3156571901672518e+100	-1.3400523469118426e+98
47.0ms	-8.71718206744736e+114	-1.0190429748967163e+113
213.0ms	-2.9132415551097665e+172	-1.1504745226086999e+160

Compiler

Compiled 624 to 480 computations (23.1% saved)

regimes422.0ms (2.7%)

Counts

4 → 10

Calls

Call 1

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

Calls

6 calls:

76.0ms	z
73.0ms	x
71.0ms	a
61.0ms	b
50.0ms	t

Results

Error	Segments	Branch
27.4b	10	`x`
33.2b	5	`y`
30.8b	10	`z`
33.3b	9	`t`
30.8b	9	`a`
36.2b	7	`b`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch387.0ms (2.5%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
43.0ms	5.6763599314358845e+41	1.335974018881191e+43
41.0ms	6.663579596843868e-48	3.239205174728195e-38
43.0ms	7.909972935330018e-86	5.30307401807725e-85
42.0ms	8.430999092213408e-151	1.8475156752634862e-149
44.0ms	3.803906526333651e-187	1.1018300637809102e-185
43.0ms	-2.975158977951405e-131	-6.475050742620168e-133
44.0ms	-1.5349665955092422e-83	-2.1899348184467957e-85
42.0ms	-0.0001738094526306546	-2.6605085040124653e-9
44.0ms	-1.102288111590218e+37	-1.7025836966688787e+36

Compiler

Compiled 30 to 21 computations (30% saved)

regimes182.0ms (1.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 t a)

Outputs
x
(*.f64 t a)
x

Calls

6 calls:

53.0ms	t
45.0ms	z
33.0ms	b
21.0ms	x
20.0ms	a

Results

Error	Segments	Branch
32.1b	3	`x`
40.3b	1	`y`
36.4b	7	`z`
35.0b	7	`t`
35.6b	3	`a`
37.7b	5	`b`

Compiler

Compiled 53 to 43 computations (18.9% saved)

bsearch64.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	6.957507898832278e-33	4.1814019306738066e-24
40.0ms	-1.5349665955092422e-83	-2.1899348184467957e-85

Compiler

Compiled 30 to 21 computations (30% saved)

regimes22.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

6 calls:

4.0ms	t
4.0ms	x
3.0ms	b
3.0ms	a
3.0ms	z

Results

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

Compiler

Compiled 50 to 42 computations (16% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	817
1	182	817

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z 6329317655958683/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (if (<=.f64 z 50000000000000001506382995007027125144524326988734756441605398995163706668882311641055617813457288178412192150858639140898346706834318867234424975099778599931393322808721069001301985282811477801121079651347551891440706762014265599582147062320881986730721280) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (+.f64 (.f64 y z) (.f64 t a))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) -inf.0) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(if (<=.f64 a -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a -11499999999999999806460720578560) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 a -4604377046384425/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a -369003657162721/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (+.f64 (.f64 y z) (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))))))
(if (<=.f64 a -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 a (+.f64 (.f64 z b) t)))))
(if (<=.f64 a -6677891319259389/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) x) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t)))))
(if (<=.f64 x -262539384539072346627096982009262414985053857922598413248656390082285395200697403909894721955795115603656704) (+.f64 (.f64 y z) x) (if (<=.f64 x -145554049197567579640491916337214161526044724559872000) (+.f64 (.f64 a t) x) (if (<=.f64 x -8543284871849567/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (+.f64 (.f64 y z) x) (if (<=.f64 x 648075821120359/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x 4556064307951683/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 x 635525574117879/91343852333181432387730302044767688728495783936) (+.f64 (.f64 y z) (.f64 t a)) (+.f64 (.f64 y z) x)))))))
(if (<=.f64 y -8781800331411517/23384026197294446691258957323460528314494920687616) (+.f64 (.f64 y z) x) (if (<=.f64 y -4216398437763585/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 (.f64 a t) x) (if (<=.f64 y -4434278922116195/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472) (.f64 z (.f64 a b)) (if (<=.f64 y 8928768780877245/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (+.f64 (.f64 a t) x) (if (<=.f64 y 4443370669809309/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 y 36680892859019790348461840883730590145295080931454630056235371585188501208956928) (+.f64 (.f64 a t) x) (+.f64 (*.f64 y z) x)))))))
(if (<=.f64 a -8607488827512735/7237005577332262213973186563042994240829374041602535252466099000494570602496) (+.f64 (.f64 a t) x) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) x) (+.f64 (*.f64 a t) x)))
(if (<=.f64 y -28999999999999999308768775797293896919809843612314534704101064431127312815994377881686489297009080845328020365662920756428557067653373224123584573949819280006016049069686784) (.f64 z y) (if (<=.f64 y -8717182067447359825633937585173393909256819729780978354180768310372520452983458015590175465568624429326547967541248) (+.f64 (.f64 a t) x) (if (<=.f64 y -13156571901672518400734472008525829445297718689718236471875549635558570022716631987013849693965778944) (.f64 z y) (if (<=.f64 y -4216398437763585/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 (.f64 a t) x) (if (<=.f64 y -4434278922116195/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472) (.f64 z (.f64 a b)) (if (<=.f64 y 400535936695447793151495957279034722924107211121167481155685047447070484787013615616) (+.f64 (.f64 a t) x) (if (<=.f64 y 8499999999999999501501293762542620003138195581135587013726376637429324041133547862496764819914038690761676630390228714069736063300089650298206340652677900494262105282707456) (.f64 z y) (if (<=.f64 y 62000000000000001263626105828976841590723596931917110121346971794123819233503202243793091411464130859601325063080104936135926768944667979962014319219158003506998578040332652634240806107228663112673669106912818354324021797582966038891138316381589359034368) (+.f64 (.f64 a t) x) (.f64 z y)))))))))
(if (<=.f64 y -28999999999999999308768775797293896919809843612314534704101064431127312815994377881686489297009080845328020365662920756428557067653373224123584573949819280006016049069686784) (.f64 z y) (if (<=.f64 y -8717182067447359825633937585173393909256819729780978354180768310372520452983458015590175465568624429326547967541248) (+.f64 (.f64 a t) x) (if (<=.f64 y -13156571901672518400734472008525829445297718689718236471875549635558570022716631987013849693965778944) (.f64 z y) (if (<=.f64 y 400535936695447793151495957279034722924107211121167481155685047447070484787013615616) (+.f64 (.f64 a t) x) (if (<=.f64 y 8499999999999999501501293762542620003138195581135587013726376637429324041133547862496764819914038690761676630390228714069736063300089650298206340652677900494262105282707456) (.f64 z y) (if (<=.f64 y 62000000000000001263626105828976841590723596931917110121346971794123819233503202243793091411464130859601325063080104936135926768944667979962014319219158003506998578040332652634240806107228663112673669106912818354324021797582966038891138316381589359034368) (+.f64 (.f64 a t) x) (*.f64 z y)))))))
(if (<=.f64 x -11022881115902179416305829578388013056) x (if (<=.f64 x -3206218490269229/18446744073709551616) (.f64 z y) (if (<=.f64 x -1049173999545407/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) x (if (<=.f64 x -5944126864882821/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (.f64 t a) (if (<=.f64 x 7453957678862587/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (.f64 z y) (if (<=.f64 x 6214506597210533/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 t a) (if (<=.f64 x 5536350091460669/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (.f64 z y) (if (<=.f64 x 5482475297339595/822752278660603021077484591278675252491367932816789931674304512) (.f64 t a) (if (<=.f64 x 567635993143588450714894648341672400781312) (*.f64 z y) x)))))))))
(if (<=.f64 x -1049173999545407/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) x (if (<=.f64 x 635525574117879/91343852333181432387730302044767688728495783936) (*.f64 t a) x))
x

Outputs
(if (<=.f64 z 6329317655958683/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (if (<=.f64 z 50000000000000001506382995007027125144524326988734756441605398995163706668882311641055617813457288178412192150858639140898346706834318867234424975099778599931393322808721069001301985282811477801121079651347551891440706762014265599582147062320881986730721280) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (+.f64 (.f64 y z) (.f64 t a))))
(if (<=.f64 z 6329317655958683/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (if (<=.f64 z 50000000000000001506382995007027125144524326988734756441605398995163706668882311641055617813457288178412192150858639140898346706834318867234424975099778599931393322808721069001301985282811477801121079651347551891440706762014265599582147062320881986730721280) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))) (.f64 b (.f64 z a))) (+.f64 (.f64 a t) (.f64 z y))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) -inf.0) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(if (<=.f64 (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))) (.f64 b (.f64 z a))) -inf.0) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))) (.f64 b (.f64 z a))))
(if (<=.f64 a -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a -11499999999999999806460720578560) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 a -4604377046384425/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a -369003657162721/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (+.f64 (.f64 y z) (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))))))
(if (<=.f64 a -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 a -11499999999999999806460720578560) (+.f64 (+.f64 x (.f64 a t)) (.f64 z y)) (if (<=.f64 a -4604377046384425/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 a -369003657162721/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (+.f64 (.f64 a (+.f64 t (.f64 z b))) (.f64 z y)) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (+.f64 x (.f64 a t)) (.f64 z y)) (+.f64 x (.f64 a (+.f64 t (*.f64 z b)))))))))
(if (<=.f64 a -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 a (+.f64 (.f64 z b) t)))))
(if (<=.f64 a -409999999999999996806840893872921044605483617004162003769000234606963783399923574798830843394086928384) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (+.f64 x (.f64 a t)) (.f64 z y)) (+.f64 x (.f64 a (+.f64 t (.f64 z b))))))
(if (<=.f64 a -6677891319259389/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) x) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t)))))
(if (<=.f64 a -6677891319259389/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 x (.f64 z y)) (+.f64 x (.f64 a (+.f64 t (*.f64 z b))))))
(if (<=.f64 x -262539384539072346627096982009262414985053857922598413248656390082285395200697403909894721955795115603656704) (+.f64 (.f64 y z) x) (if (<=.f64 x -145554049197567579640491916337214161526044724559872000) (+.f64 (.f64 a t) x) (if (<=.f64 x -8543284871849567/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (+.f64 (.f64 y z) x) (if (<=.f64 x 648075821120359/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (+.f64 (.f64 y z) (.f64 t a)) (if (<=.f64 x 4556064307951683/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 x 635525574117879/91343852333181432387730302044767688728495783936) (+.f64 (.f64 y z) (.f64 t a)) (+.f64 (.f64 y z) x)))))))
(if (<=.f64 x -262539384539072346627096982009262414985053857922598413248656390082285395200697403909894721955795115603656704) (+.f64 x (.f64 z y)) (if (<=.f64 x -145554049197567579640491916337214161526044724559872000) (+.f64 x (.f64 a t)) (if (<=.f64 x -8543284871849567/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (+.f64 x (.f64 z y)) (if (<=.f64 x 648075821120359/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (+.f64 (.f64 a t) (.f64 z y)) (if (<=.f64 x 4556064307951683/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 a (+.f64 t (.f64 z b))) (if (<=.f64 x 635525574117879/91343852333181432387730302044767688728495783936) (+.f64 (.f64 a t) (.f64 z y)) (+.f64 x (.f64 z y))))))))
(if (<=.f64 y -8781800331411517/23384026197294446691258957323460528314494920687616) (+.f64 (.f64 y z) x) (if (<=.f64 y -4216398437763585/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 (.f64 a t) x) (if (<=.f64 y -4434278922116195/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472) (.f64 z (.f64 a b)) (if (<=.f64 y 8928768780877245/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (+.f64 (.f64 a t) x) (if (<=.f64 y 4443370669809309/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 y 36680892859019790348461840883730590145295080931454630056235371585188501208956928) (+.f64 (.f64 a t) x) (+.f64 (*.f64 y z) x)))))))
(if (<=.f64 y -8781800331411517/23384026197294446691258957323460528314494920687616) (+.f64 x (.f64 z y)) (if (<=.f64 y -4216398437763585/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 x (.f64 a t)) (if (<=.f64 y -4434278922116195/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472) (.f64 z (.f64 a b)) (if (<=.f64 y 8928768780877245/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (+.f64 x (.f64 a t)) (if (<=.f64 y 4443370669809309/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (+.f64 x (.f64 a (.f64 z b))) (if (<=.f64 y 36680892859019790348461840883730590145295080931454630056235371585188501208956928) (+.f64 x (.f64 a t)) (+.f64 x (*.f64 z y))))))))
(if (<=.f64 a -8607488827512735/7237005577332262213973186563042994240829374041602535252466099000494570602496) (+.f64 (.f64 a t) x) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (.f64 y z) x) (+.f64 (*.f64 a t) x)))
(if (<=.f64 a -8607488827512735/7237005577332262213973186563042994240829374041602535252466099000494570602496) (+.f64 x (.f64 a t)) (if (<=.f64 a 1556221037480091/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 x (.f64 z y)) (+.f64 x (*.f64 a t))))
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(if (<=.f64 y -28999999999999999308768775797293896919809843612314534704101064431127312815994377881686489297009080845328020365662920756428557067653373224123584573949819280006016049069686784) (.f64 z y) (if (<=.f64 y -8717182067447359825633937585173393909256819729780978354180768310372520452983458015590175465568624429326547967541248) (+.f64 x (.f64 a t)) (if (<=.f64 y -13156571901672518400734472008525829445297718689718236471875549635558570022716631987013849693965778944) (.f64 z y) (if (<=.f64 y -4216398437763585/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 x (.f64 a t)) (if (<=.f64 y -4434278922116195/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472) (.f64 z (.f64 a b)) (if (<=.f64 y 400535936695447793151495957279034722924107211121167481155685047447070484787013615616) (+.f64 x (.f64 a t)) (if (<=.f64 y 8499999999999999501501293762542620003138195581135587013726376637429324041133547862496764819914038690761676630390228714069736063300089650298206340652677900494262105282707456) (.f64 z y) (if (<=.f64 y 62000000000000001263626105828976841590723596931917110121346971794123819233503202243793091411464130859601325063080104936135926768944667979962014319219158003506998578040332652634240806107228663112673669106912818354324021797582966038891138316381589359034368) (+.f64 x (.f64 a t)) (.f64 z y)))))))))
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(if (<=.f64 y -28999999999999999308768775797293896919809843612314534704101064431127312815994377881686489297009080845328020365662920756428557067653373224123584573949819280006016049069686784) (.f64 z y) (if (<=.f64 y -8717182067447359825633937585173393909256819729780978354180768310372520452983458015590175465568624429326547967541248) (+.f64 x (.f64 a t)) (if (<=.f64 y -13156571901672518400734472008525829445297718689718236471875549635558570022716631987013849693965778944) (.f64 z y) (if (<=.f64 y 400535936695447793151495957279034722924107211121167481155685047447070484787013615616) (+.f64 x (.f64 a t)) (if (<=.f64 y 8499999999999999501501293762542620003138195581135587013726376637429324041133547862496764819914038690761676630390228714069736063300089650298206340652677900494262105282707456) (.f64 z y) (if (<=.f64 y 62000000000000001263626105828976841590723596931917110121346971794123819233503202243793091411464130859601325063080104936135926768944667979962014319219158003506998578040332652634240806107228663112673669106912818354324021797582966038891138316381589359034368) (+.f64 x (.f64 a t)) (*.f64 z y)))))))
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(if (<=.f64 x -1049173999545407/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) x (if (<=.f64 x 635525574117879/91343852333181432387730302044767688728495783936) (*.f64 t a) x))
(if (<=.f64 x -1049173999545407/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) x (if (<=.f64 x 635525574117879/91343852333181432387730302044767688728495783936) (*.f64 a t) x))
x

Compiler

Compiled 645 to 308 computations (52.2% saved)

soundness148.0ms (1%)

Algorithm

3×	egg-herbie

Rules

529×	`fma-neg_binary64`
495×	`fma-def_binary64`
167×	`cancel-sign-sub-inv_binary64`
95×	`distribute-rgt-in_binary64`
93×	`associate-l_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
0	14	22
1	27	16
2	69	15
3	148	13
4	191	13
5	203	13
6	206	13
0	36	899
1	92	899
2	178	899
3	368	899
4	795	899
5	1353	899
6	1855	899
7	2246	899
8	2353	899
9	2357	899

Stop Event

1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 482 to 294 computations (39% saved)

end141.0ms (0.9%)

Compiler: Compiled 573 to 181 computations (68.4% saved)