Details

analyze755.0ms (3.4%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample2.0s (8.7%)

Results

1.3s	8256×	body	256	valid
591.0ms	3786×	body	256	invalid

preprocess88.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

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

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

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
▶	1.9b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
▶	2.1b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y z))
✓	0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
✓	0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
✓	9.4b	(.f64 (.f64 a z) b)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series51.0ms (0.2%)

Counts

4 → 204

Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	b	@	0	(.f64 (.f64 a z) b)
4.0ms	x	@	0	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
3.0ms	a	@	inf	(+.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)

rewrite148.0ms (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 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
(+.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 (.f64 z b) (fma.f64 a t (fma.f64 z y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 2) (-.f64 (fma.f64 a t (fma.f64 z y x)) (.f64 a (.f64 z b)))) (/.f64 (pow.f64 (.f64 a (.f64 z b)) 2) (-.f64 (fma.f64 a t (fma.f64 z y x)) (.f64 a (.f64 z b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x)))) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x)))) 2) (cbrt.f64 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x)))) (sqrt.f64 (fma.f64 a (.f64 z b) (fma.f64 a t (fma.f64 z y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 3) (pow.f64 (.f64 a (.f64 z b)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 2) (.f64 (.f64 a (.f64 z b)) (-.f64 (.f64 a (.f64 z b)) (fma.f64 a t (fma.f64 z y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 2) (pow.f64 (.f64 a (.f64 z b)) 2)) (/.f64 1 (-.f64 (fma.f64 a t (fma.f64 z y x)) (.f64 a (.f64 z b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 2) (.f64 (.f64 a (.f64 z b)) (-.f64 (.f64 a (.f64 z b)) (fma.f64 a t (fma.f64 z y x))))) (+.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 3) (pow.f64 (.f64 a (.f64 z b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 a t (fma.f64 z y x)) 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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))))))

simplify306.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1275×	`fma-neg_binary64`
1117×	`fma-def_binary64`
182×	`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	190	1693
2	397	1693
3	797	1693
4	2011	1693
5	3363	1693
6	3851	1693
7	4154	1693
8	4180	1693
9	4180	1693
10	4316	1693
11	4316	1693

Stop Event

1×

saturated

Counts

374 → 206

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

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series9.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

81 → 39

Calls

Call 1

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

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

eval50.0ms (0.2%)

Compiler: Compiled 4581 to 1062 computations (76.8% saved)

prune84.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	230	15	245
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	231	16	247

Error

0.0b

Counts

247 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	(.f64 z (+.f64 (.f64 a b) y))
✓	1.9b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
	33.5b	(.f64 (-.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 2) (pow.f64 (.f64 a (.f64 z b)) 2)) (/.f64 1 (-.f64 (fma.f64 a t (fma.f64 z y x)) (.f64 a (*.f64 z b)))))
	26.3b	(+.f64 (*.f64 a t) x)
▶	49.5b	(*.f64 a t)
	39.2b	x
	39.0b	(fma.f64 y z (.f64 b (.f64 z a)))
▶	10.7b	(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
▶	26.3b	(fma.f64 a t x)
	47.1b	(*.f64 z y)
	41.5b	(.f64 (+.f64 t (.f64 b z)) a)
	17.6b	(fma.f64 a (fma.f64 b z t) x)
▶	17.6b	(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
▶	23.9b	(+.f64 (*.f64 y z) x)
	15.9b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
	25.9b	(+.f64 (+.f64 (.f64 y z) (.f64 a t)) (.f64 (.f64 a z) b))

Compiler

Compiled 448 to 289 computations (35.5% saved)

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 10 computations (67.7% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 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	t	@	-inf	(+.f64 (*.f64 a t) x)
0.0ms	t	@	inf	(+.f64 (*.f64 a t) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 a t) x)

rewrite62.0ms (0.3%)

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 a t) x)

Outputs

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

simplify15.0ms (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 a t)
(*.f64 a t)
x
(*.f64 a t)
(*.f64 a t)
(*.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

localize9.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% 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
0.0ms	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	@	0	(+.f64 (*.f64 y z) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 y z) x)

rewrite81.0ms (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)))))

simplify15.0ms (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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
✓	0.0b	(+.f64 (.f64 a (.f64 z b)) x)
✓	3.0b	(.f64 a (.f64 z b))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series15.0ms (0.1%)

Counts

3 → 108

Calls

36 calls:

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

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	242	27
2	3494	26

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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

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

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

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	813
1	84	813
2	189	813
3	380	813
4	861	813
5	1372	813
6	1598	813
7	1801	813
8	1874	813
9	1884	813

Stop Event

1×

saturated

Counts

291 → 203

Calls

Call 1

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

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

localize11.0ms (0%)

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

eval204.0ms (0.9%)

Compiler: Compiled 4236 to 1159 computations (72.6% saved)

prune173.0ms (0.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	269	8	277
Fresh	4	6	10
Picked	0	1	1
Done	3	2	5
Total	276	17	293

Error

0.0b

Counts

293 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	(.f64 z (+.f64 (.f64 a b) y))
	34.0b	(+.f64 (.f64 y z) (.f64 a t))
	26.3b	(+.f64 (*.f64 a t) x)
	41.5b	(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
	17.9b	(+.f64 (.f64 a t) (+.f64 (+.f64 0 (.f64 b (*.f64 a z))) x))
	37.6b	(+.f64 (.f64 a t) (.f64 (-.f64 (pow.f64 (.f64 b (.f64 a z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 b (*.f64 a z)) x))))
✓	23.9b	(+.f64 (*.f64 y z) x)
✓	49.5b	(*.f64 a t)
▶	39.0b	(fma.f64 y z (.f64 b (.f64 z a)))
▶	17.6b	(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
✓	26.3b	(fma.f64 a t x)
▶	47.1b	(*.f64 z y)
▶	41.5b	(.f64 (+.f64 t (.f64 b z)) a)
▶	15.9b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
	39.2b	x
	42.1b	(fma.f64 (.f64 (.f64 a z) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 x (*.f64 a t)))
	17.6b	(fma.f64 a (+.f64 t (*.f64 z b)) x)

Compiler

Compiled 445 to 296 computations (33.5% saved)

localize125.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
✓	0.0b	(+.f64 x (.f64 a (.f64 z b)))
	3.0b	(.f64 a (.f64 z b))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series14.0ms (0.1%)

Counts

2 → 87

Calls

27 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	241	20
2	3504	20

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	654
1	76	654
2	154	654
3	344	654
4	768	654
5	1276	654
6	1652	654
7	1859	654
8	1932	654
9	1942	654

Stop Event

1×

saturated

Counts

252 → 185

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 9 computations (64% saved)

series8.0ms (0%)

Counts

2 → 71

Calls

21 calls:

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

rewrite181.0ms (0.8%)

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))))))

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	445
1	37	445
2	48	445
3	50	445

Stop Event

1×

saturated

Counts

127 → 67

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 10 computations (71.4% saved)

series15.0ms (0.1%)

Counts

3 → 122

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(.f64 a (+.f64 (.f64 z b) t))
2.0ms	x	@	0	(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
1.0ms	a	@	0	(.f64 a (+.f64 (.f64 z b) t))
0.0ms	a	@	-inf	(.f64 a (+.f64 (.f64 z b) t))
0.0ms	t	@	inf	(.f64 a (+.f64 (.f64 z b) t))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
574×	`fma-def_binary64`
483×	`pow-prod-down_binary64`
313×	`pow2_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	224	22
2	3324	22

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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

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

simplify30.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`fma-def_binary64`
11×	`+-commutative_binary64`
10×	`*-commutative_binary64`
4×	`associate-+r+_binary64`
3×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	850
1	66	850
2	86	850
3	92	850

Stop Event

1×

saturated

Counts

313 → 218

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y z (.f64 b (.f64 z a)))
✓	9.4b	(.f64 b (.f64 z a))

Compiler

Compiled 26 to 9 computations (65.4% saved)

series10.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`pow1_binary64`
720×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	159	18
2	1944	18

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

181×	`fma-neg_binary64`
175×	`fma-def_binary64`
80×	`associate-l_binary64`
78×	`cancel-sign-sub-inv_binary64`
59×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	615
1	53	615
2	120	615
3	287	615
4	638	615
5	931	615
6	1145	615
7	1200	615

Stop Event

1×

saturated

Counts

118 → 44

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

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

eval264.0ms (1.2%)

Compiler: Compiled 7601 to 2076 computations (72.7% saved)

prune294.0ms (1.3%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	521	11	532
Fresh	5	4	9
Picked	0	1	1
Done	1	6	7
Total	527	22	549

Error

0.0b

Counts

549 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.1b	(.f64 z (+.f64 (.f64 a b) y))
	54.4b	(/.f64 (.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 b z) 2)) a) (-.f64 t (.f64 b z)))
▶	34.0b	(+.f64 (.f64 y z) (.f64 a t))
▶	17.9b	(+.f64 (+.f64 (.f64 (.f64 a z) b) (*.f64 a t)) x)
	39.0b	(+.f64 (.f64 z y) (.f64 b (*.f64 z a)))
▶	54.6b	(.f64 z (.f64 a b))
	31.1b	(+.f64 (.f64 a (.f64 z b)) x)
	41.5b	(+.f64 (.f64 (.f64 b z) a) (*.f64 t a))
	39.2b	x
✓	47.1b	(*.f64 z y)
	30.9b	(+.f64 (.f64 b (.f64 z a)) x)
✓	23.9b	(+.f64 (*.f64 y z) x)
✓	49.5b	(*.f64 a t)
	54.9b	(.f64 (.f64 z b) a)
✓	39.0b	(fma.f64 y z (.f64 b (.f64 z a)))
	26.3b	(+.f64 (*.f64 t a) x)
✓	15.9b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
✓	26.3b	(fma.f64 a t x)
✓	41.5b	(.f64 (+.f64 t (.f64 b z)) a)
▶	15.6b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
	42.1b	(fma.f64 (.f64 (.f64 a z) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 x (*.f64 a t)))
	17.6b	(fma.f64 a (+.f64 t (*.f64 z b)) x)

Compiler

Compiled 498 to 336 computations (32.5% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 a b) y)
✓	0.0b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
✓	2.2b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series14.0ms (0.1%)

Counts

3 → 87

Calls

36 calls:

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

rewrite222.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
574×	`fma-def_binary64`
483×	`pow-prod-down_binary64`
313×	`pow2_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	224	22
2	3324	22

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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

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

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

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-def_binary64`
8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	669
1	51	615
2	72	615
3	81	615

Stop Event

1×

saturated

Counts

278 → 208

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(.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	z	@	-inf	(.f64 z (.f64 a b))
0.0ms	a	@	inf	(.f64 z (.f64 a b))
0.0ms	b	@	inf	(.f64 z (.f64 a b))

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

47 → 13

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 a b) y)
	2.2b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 25 to 9 computations (64% saved)

localize144.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

12 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	48
1	9	48

Stop Event

1×

saturated

Counts

49 → 39

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 a z) b) (*.f64 a t))
✓	0.0b	(+.f64 (+.f64 (.f64 (.f64 a z) b) (*.f64 a t)) x)
	9.4b	(.f64 (.f64 a z) b)

Compiler

Compiled 42 to 11 computations (73.8% saved)

series8.0ms (0%)

Counts

2 → 108

Calls

27 calls:

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

rewrite244.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`fma-def_binary64`
659×	`log-prod_binary64`
352×	`fma-neg_binary64`
336×	`pow2_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	241	22
2	3503	17

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

Outputs

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

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

simplify192.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	849
1	100	849
2	202	849
3	393	849
4	874	849
5	1386	849
6	1617	849
7	1820	849
8	1893	849
9	1903	849

Stop Event

1×

saturated

Counts

305 → 219

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 (*.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 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 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 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 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))

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

eval276.0ms (1.2%)

Compiler: Compiled 8743 to 2381 computations (72.8% saved)

prune312.0ms (1.4%)

Pruning

24 alts after pruning (12 fresh and 12 done)

	Pruned	Kept	Total
New	616	7	623
Fresh	5	5	10
Picked	0	1	1
Done	0	11	11
Total	621	24	645

Error

Counts

645 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.1b	(.f64 z (+.f64 (.f64 a b) y))
	54.4b	(/.f64 (.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 b z) 2)) a) (-.f64 t (.f64 b z)))
✓	34.0b	(+.f64 (.f64 y z) (.f64 a t))
✓	17.9b	(+.f64 (+.f64 (.f64 (.f64 a z) b) (*.f64 a t)) x)
	39.2b	(.f64 z (fma.f64 (.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) y))
✓	54.6b	(.f64 z (.f64 a b))
✓	26.3b	(fma.f64 a t x)
	31.3b	(+.f64 (.f64 z (.f64 a b)) x)
	41.5b	(+.f64 (.f64 (.f64 b z) a) (*.f64 t a))
	54.5b	(.f64 b (.f64 a z))
	30.9b	(+.f64 (.f64 b (.f64 z a)) x)
✓	23.9b	(+.f64 (*.f64 y z) x)
✓	49.5b	(*.f64 a t)
	54.9b	(.f64 (.f64 z b) a)
✓	39.0b	(fma.f64 y z (.f64 b (.f64 z a)))
	26.3b	(+.f64 (*.f64 t a) x)
✓	15.9b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
	39.0b	(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
	31.1b	(fma.f64 a (*.f64 z b) x)
✓	47.1b	(*.f64 z y)
✓	41.5b	(.f64 (+.f64 t (.f64 b z)) a)
	52.4b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (*.f64 y y)) z) (fma.f64 a b (neg.f64 y)))
✓	15.6b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
	39.2b	x

Compiler

Compiled 324 to 222 computations (31.5% saved)

regimes548.0ms (2.4%)

Counts

43 → 2

Calls

Call 1

Inputs
x
x
x
x
(*.f64 a t)
(*.f64 z y)
(.f64 b (.f64 a z))
(.f64 z (.f64 a b))
(.f64 (.f64 z b) a)
(+.f64 (*.f64 t a) x)
(+.f64 (*.f64 a t) x)
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 z (.f64 a b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 b (.f64 z a)) x)
(+.f64 (.f64 y z) (.f64 a t))
(.f64 z (+.f64 (.f64 a b) y))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 z y) (.f64 b (*.f64 z a)))
(+.f64 (.f64 (.f64 b z) a) (*.f64 t a))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (+.f64 (.f64 (.f64 a z) b) (*.f64 a t)) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 (+.f64 0 (.f64 b (*.f64 a z))) x))
(+.f64 (+.f64 (.f64 y z) (.f64 a t)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(fma.f64 a t x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 a (+.f64 t (*.f64 z b)) x)
(fma.f64 y z (.f64 b (.f64 z a)))
(/.f64 (.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 b z) 2)) a) (-.f64 t (.f64 b z)))
(+.f64 (.f64 a t) (.f64 (-.f64 (pow.f64 (.f64 b (.f64 a z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 b (*.f64 a z)) x))))
(fma.f64 a (fma.f64 b z t) x)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (*.f64 y y)) z) (fma.f64 a b (neg.f64 y)))
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
(fma.f64 (.f64 (.f64 a z) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 x (*.f64 a t)))
(.f64 z (fma.f64 (.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) y))
(.f64 (-.f64 (pow.f64 (fma.f64 a t (fma.f64 z y x)) 2) (pow.f64 (.f64 a (.f64 z b)) 2)) (/.f64 1 (-.f64 (fma.f64 a t (fma.f64 z y x)) (.f64 a (*.f64 z b)))))

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

Calls

7 calls:

215.0ms	x
148.0ms	a
45.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
42.0ms	y
32.0ms	z

Results

Error	Segments	Branch
0.9b	2	`x`
1.9b	1	`y`
1.9b	1	`z`
1.9b	1	`t`
1.9b	1	`a`
1.9b	1	`b`
1.9b	1	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 449 to 160 computations (64.4% saved)

bsearch50.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	-3.2418180652736406e-269	-2.652333994259129e-270

Compiler

Compiled 30 to 21 computations (30% saved)

regimes372.0ms (1.7%)

Counts

39 → 1

Calls

Call 1

Inputs
x
x
x
x
(*.f64 a t)
(*.f64 z y)
(.f64 b (.f64 a z))
(.f64 z (.f64 a b))
(.f64 (.f64 z b) a)
(+.f64 (*.f64 t a) x)
(+.f64 (*.f64 a t) x)
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 z (.f64 a b)) x)
(+.f64 (.f64 a (.f64 z b)) x)
(+.f64 (.f64 b (.f64 z a)) x)
(+.f64 (.f64 y z) (.f64 a t))
(.f64 z (+.f64 (.f64 a b) y))
(.f64 (+.f64 t (.f64 b z)) a)
(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
(+.f64 (.f64 z y) (.f64 b (*.f64 z a)))
(+.f64 (.f64 (.f64 b z) a) (*.f64 t a))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)
(+.f64 (.f64 a t) (.f64 a (*.f64 z b)))
(+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(+.f64 (+.f64 (.f64 (.f64 a z) b) (*.f64 a t)) x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(+.f64 (.f64 a t) (+.f64 (+.f64 0 (.f64 b (*.f64 a z))) x))
(+.f64 (+.f64 (.f64 y z) (.f64 a t)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(fma.f64 a t x)
(fma.f64 a (*.f64 z b) x)
(fma.f64 a (+.f64 t (*.f64 z b)) x)
(fma.f64 y z (.f64 b (.f64 z a)))
(/.f64 (.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 b z) 2)) a) (-.f64 t (.f64 b z)))
(+.f64 (.f64 a t) (.f64 (-.f64 (pow.f64 (.f64 b (.f64 a z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 b (*.f64 a z)) x))))
(fma.f64 a (fma.f64 b z t) x)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (*.f64 y y)) z) (fma.f64 a b (neg.f64 y)))

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

Calls

7 calls:

169.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
41.0ms	b
32.0ms	a
22.0ms	y
21.0ms	t

Results

Error	Segments	Branch
1.9b	1	`x`
1.9b	1	`y`
1.9b	1	`z`
1.9b	1	`t`
1.9b	1	`a`
1.9b	1	`b`
1.9b	1	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 380 to 136 computations (64.2% saved)

regimes385.0ms (1.7%)

Counts

30 → 7

Calls

Call 1

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

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

Calls

6 calls:

110.0ms	b
70.0ms	a
57.0ms	t
48.0ms	x
46.0ms	z

Results

Error	Segments	Branch
6.3b	3	`x`
5.7b	3	`y`
5.6b	3	`z`
4.8b	3	`t`
5.1b	4	`a`
4.5b	7	`b`

Compiler

Compiled 252 to 89 computations (64.7% saved)

bsearch717.0ms (3.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
256.0ms	5.159815624484656e+203	1.3307879174971269e+213
365.0ms	4.26404588552433e+161	8.440567809782076e+175
30.0ms	2.279681060672732e+74	5.243524446357296e+74
27.0ms	-1.2593631239613118e+47	-3.950487130581789e+42
23.0ms	-2.625536526701105e+140	-3.815619037801932e+135
16.0ms	-6.989114942646226e+188	-3.781703570142871e+186

Compiler

Compiled 714 to 489 computations (31.5% saved)

regimes568.0ms (2.5%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

6 calls:

241.0ms	b
104.0ms	a
65.0ms	z
62.0ms	t
47.0ms	y

Results

Error	Segments	Branch
9.2b	3	`x`
5.7b	3	`y`
5.6b	3	`z`
4.8b	3	`t`
5.1b	4	`a`
6.0b	4	`b`

Compiler

Compiled 239 to 88 computations (63.2% saved)

bsearch54.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	7.998822610300401e-35	3.97301982731068e-17
28.0ms	-2.1057920084126973	-0.33092895466172256

Compiler

Compiled 30 to 21 computations (30% saved)

regimes503.0ms (2.2%)

Counts

27 → 4

Calls

Call 1

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

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

Calls

6 calls:

188.0ms	z
80.0ms	t
67.0ms	x
63.0ms	a
54.0ms	b

Results

Error	Segments	Branch
9.2b	3	`x`
5.7b	3	`y`
5.6b	3	`z`
5.5b	3	`t`
5.1b	4	`a`
6.0b	4	`b`

Compiler

Compiled 215 to 82 computations (61.9% saved)

bsearch279.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
42.0ms	3.1912440597283463e-23	0.23240506136489986
25.0ms	-3.984672225014302e-211	-6.920548277870255e-214
212.0ms	-1.0244800200461934e+32	-1.1516762880072119e+29

Compiler

Compiled 286 to 197 computations (31.1% saved)

regimes468.0ms (2.1%)

Counts

26 → 4

Calls

Call 1

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

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

Calls

6 calls:

229.0ms	a
52.0ms	t
49.0ms	b
48.0ms	z
44.0ms	x

Results

Error	Segments	Branch
9.2b	3	`x`
5.7b	3	`y`
5.6b	3	`z`
5.5b	3	`t`
5.1b	4	`a`
6.0b	4	`b`

Compiler

Compiled 204 to 81 computations (60.3% saved)

bsearch295.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
24.0ms	3.1912440597283463e-23	0.23240506136489986
63.0ms	-3.984672225014302e-211	-6.920548277870255e-214
208.0ms	-1.0244800200461934e+32	-1.1516762880072119e+29

Compiler

Compiled 286 to 197 computations (31.1% saved)

regimes755.0ms (3.4%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

6 calls:

234.0ms	x
187.0ms	b
132.0ms	y
108.0ms	t
47.0ms	z

Results

Error	Segments	Branch
10.0b	8	`x`
10.0b	4	`y`
7.6b	3	`z`
9.1b	5	`t`
6.8b	3	`a`
11.3b	5	`b`

Compiler

Compiled 184 to 77 computations (58.2% saved)

bsearch73.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	3.1912440597283463e-23	0.23240506136489986
35.0ms	-2.7841185835257418e-39	-5.6499180441146464e-40

Compiler

Compiled 30 to 21 computations (30% saved)

regimes437.0ms (1.9%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

6 calls:

105.0ms	y
76.0ms	a
69.0ms	t
66.0ms	b
63.0ms	x

Results

Error	Segments	Branch
12.5b	4	`x`
13.2b	4	`y`
9.1b	5	`z`
9.2b	6	`t`
9.5b	5	`a`
14.2b	3	`b`

Compiler

Compiled 175 to 74 computations (57.7% saved)

bsearch131.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	5.219731398305925e-137	1.0169490166596519e-135
32.0ms	1.3172362385422615e-155	9.007565466510149e-155
25.0ms	9.337696312910456e-208	4.28928682748619e-205
25.0ms	-8.74080563531487e-127	-1.308835276113686e-128

Compiler

Compiled 30 to 21 computations (30% saved)

regimes597.0ms (2.7%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

6 calls:

171.0ms	b
136.0ms	t
102.0ms	y
63.0ms	a
63.0ms	x

Results

Error	Segments	Branch
16.1b	5	`x`
14.2b	8	`y`
15.8b	5	`z`
13.7b	10	`t`
13.5b	5	`a`
14.8b	9	`b`

Compiler

Compiled 157 to 72 computations (54.1% saved)

bsearch147.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
47.0ms	6.29699825893274e+138	7.5476537798474785e+146
26.0ms	3.55390623804812e-38	1.7583180249150993e-36
28.0ms	-2.7841185835257418e-39	-5.6499180441146464e-40
45.0ms	-9.507708203213025e+142	-3.3202845900117588e+140

Compiler

Compiled 490 to 353 computations (28% saved)

regimes431.0ms (1.9%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

6 calls:

93.0ms	y
89.0ms	t
80.0ms	b
66.0ms	x
53.0ms	a

Results

Error	Segments	Branch
16.1b	5	`x`
14.2b	8	`y`
15.8b	5	`z`
13.7b	10	`t`
13.5b	5	`a`
14.8b	9	`b`

Compiler

Compiled 148 to 70 computations (52.7% saved)

bsearch211.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
69.0ms	6.29699825893274e+138	7.5476537798474785e+146
54.0ms	3.55390623804812e-38	1.7583180249150993e-36
27.0ms	-2.7841185835257418e-39	-5.6499180441146464e-40
61.0ms	-9.507708203213025e+142	-3.3202845900117588e+140

Compiler

Compiled 472 to 344 computations (27.1% saved)

regimes755.0ms (3.4%)

Counts

17 → 10

Calls

Call 1

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

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

Calls

6 calls:

199.0ms	y
173.0ms	b
141.0ms	x
125.0ms	t
67.0ms	a

Results

Error	Segments	Branch
16.1b	5	`x`
14.2b	8	`y`
15.8b	5	`z`
13.7b	10	`t`
16.0b	4	`a`
14.8b	9	`b`

Compiler

Compiled 123 to 64 computations (48% saved)

bsearch657.0ms (2.9%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
81.0ms	1.1148369494546033e+118	1.7774151554745037e+118
26.0ms	1.0804551231645549e-246	3.2422523989051475e-245
30.0ms	5.583682376370084e-281	3.99849112512106e-280
26.0ms	-5.993505413801874e-275	-2.5242412586717523e-285
27.0ms	-6.512013589828241e-259	-7.059385001194866e-262
51.0ms	-9.856302556660085e-64	-2.44561138268753e-64
82.0ms	-2.9904520797851714e-8	-2.3748075135526543e-17
176.0ms	-1.8293286501265004e+89	-7.260215648276754e+88
158.0ms	-2.0859494173219973e+159	-3.627310778517061e+157

Compiler

Compiled 414 to 309 computations (25.4% saved)

regimes466.0ms (2.1%)

Counts

16 → 10

Calls

Call 1

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

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

Calls

6 calls:

137.0ms	y
96.0ms	t
91.0ms	b
49.0ms	a
42.0ms	z

Results

Error	Segments	Branch
17.4b	3	`x`
14.4b	8	`y`
16.0b	5	`z`
14.0b	10	`t`
17.0b	3	`a`
15.7b	9	`b`

Compiler

Compiled 116 to 62 computations (46.6% saved)

bsearch612.0ms (2.7%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
132.0ms	1.1148369494546033e+118	1.7774151554745037e+118
25.0ms	8.007903106620106e-164	4.132934702792809e-161
49.0ms	2.0317719983647055e-277	2.3372257609633104e-276
25.0ms	-4.1000398598651075e-302	-3.717093256118276e-304
26.0ms	-6.512013589828241e-259	-7.059385001194866e-262
25.0ms	-9.856302556660085e-64	-2.44561138268753e-64
26.0ms	-2.9904520797851714e-8	-2.3748075135526543e-17
157.0ms	-1.8293286501265004e+89	-7.260215648276754e+88
145.0ms	-2.0859494173219973e+159	-3.627310778517061e+157

Compiler

Compiled 414 to 309 computations (25.4% saved)

regimes272.0ms (1.2%)

Counts

14 → 10

Calls

Call 1

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

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

Calls

6 calls:

75.0ms	t
61.0ms	b
51.0ms	y
36.0ms	z
28.0ms	a

Results

Error	Segments	Branch
22.4b	2	`x`
16.0b	7	`y`
16.0b	5	`z`
14.0b	10	`t`
17.0b	3	`a`
17.0b	8	`b`

Compiler

Compiled 102 to 58 computations (43.1% saved)

bsearch536.0ms (2.4%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
114.0ms	1.1148369494546033e+118	1.7774151554745037e+118
27.0ms	1.0804551231645549e-246	3.2422523989051475e-245
65.0ms	5.583682376370084e-281	3.99849112512106e-280
25.0ms	-4.1000398598651075e-302	-3.717093256118276e-304
28.0ms	-6.512013589828241e-259	-7.059385001194866e-262
26.0ms	-9.856302556660085e-64	-2.44561138268753e-64
25.0ms	-2.9904520797851714e-8	-2.3748075135526543e-17
113.0ms	-1.8293286501265004e+89	-7.260215648276754e+88
112.0ms	-2.0859494173219973e+159	-3.627310778517061e+157

Compiler

Compiled 414 to 309 computations (25.4% saved)

regimes325.0ms (1.4%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

6 calls:

83.0ms	y
76.0ms	z
74.0ms	b
49.0ms	t
24.0ms	a

Results

Error	Segments	Branch
22.4b	2	`x`
17.5b	5	`y`
15.5b	6	`z`
15.6b	7	`t`
17.0b	3	`a`
17.3b	8	`b`

Compiler

Compiled 95 to 56 computations (41.1% saved)

bsearch248.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
89.0ms	8.96493525025134e+103	4.697122322478472e+107
25.0ms	6.529864259470139e-33	1.0847464529648743e-32
59.0ms	4.9324539507552834e-45	2.9976884631943712e-40
25.0ms	2.6947945449177502e-95	4.419806902480659e-95
49.0ms	-2.287843689408706e-18	-1.8847921352555316e-20

Compiler

Compiled 238 to 173 computations (27.3% saved)

regimes217.0ms (1%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

6 calls:

77.0ms	b
49.0ms	t
27.0ms	z
21.0ms	y
21.0ms	a

Results

Error	Segments	Branch
22.4b	2	`x`
19.4b	3	`y`
17.6b	3	`z`
15.7b	7	`t`
17.0b	3	`a`
19.0b	7	`b`

Compiler

Compiled 88 to 55 computations (37.5% saved)

bsearch480.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
144.0ms	1.1148369494546033e+118	1.7774151554745037e+118
26.0ms	1.7284660865808273e-289	5.583682376370084e-281
24.0ms	-4.1000398598651075e-302	-3.717093256118276e-304
24.0ms	-2.9904520797851714e-8	-2.3748075135526543e-17
107.0ms	-1.8293286501265004e+89	-7.260215648276754e+88
154.0ms	-2.0859494173219973e+159	-3.627310778517061e+157

Compiler

Compiled 414 to 309 computations (25.4% saved)

regimes194.0ms (0.9%)

Counts

11 → 8

Calls

Call 1

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

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

Calls

6 calls:

56.0ms	b
34.0ms	y
32.0ms	x
25.0ms	z
23.0ms	a

Results

Error	Segments	Branch
23.6b	5	`x`
23.9b	4	`y`
22.7b	3	`z`
24.7b	3	`t`
25.1b	3	`a`
21.3b	8	`b`

Compiler

Compiled 83 to 53 computations (36.1% saved)

bsearch1.2s (5.2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
6.0ms	3.13728441447115e+302	2.1400244539485951e+304
190.0ms	1.7308838293851705e+220	3.554418192622581e+233
465.0ms	7.915031540865248e+182	2.9613142858390715e+201
223.0ms	4.26404588552433e+161	8.440567809782076e+175
27.0ms	1.2212674070732743e+115	3.5719906433757066e+123
158.0ms	-1.0291917352116903e+147	-2.834005316251759e+146
95.0ms	-9.512164006837954e+210	-2.560792518173027e+209

Compiler

Compiled 1022 to 775 computations (24.2% saved)

regimes478.0ms (2.1%)

Counts

9 → 9

Calls

Call 1

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

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

Calls

6 calls:

146.0ms	z
103.0ms	b
78.0ms	a
64.0ms	t
63.0ms	y

Results

Error	Segments	Branch
30.7b	3	`x`
30.6b	9	`y`
30.3b	9	`z`
32.1b	9	`t`
31.1b	10	`a`
31.1b	11	`b`

Compiler

Compiled 73 to 50 computations (31.5% saved)

bsearch456.0ms (2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
174.0ms	9.450919035773233e+28	5.126544716868549e+33
25.0ms	5.219731398305925e-137	1.0169490166596519e-135
28.0ms	1.3172362385422615e-155	9.007565466510149e-155
27.0ms	8.01427576143493e-204	2.3365092168185812e-203
40.0ms	3.3626057716688744e-301	5.333828755429134e-291
28.0ms	-3.0190857245075347e-243	-1.0048216514539251e-251
27.0ms	-1.92596764284121e-172	-1.2679522133573736e-172
106.0ms	-1.4006199026035513e+108	-2.297233816992645e+93

Compiler

Compiled 354 to 291 computations (17.8% saved)

regimes261.0ms (1.2%)

Counts

5 → 3

Calls

Call 1

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

Outputs
x
(*.f64 a t)
x

Calls

6 calls:

90.0ms	z
54.0ms	x
43.0ms	y
39.0ms	t
20.0ms	a

Results

Error	Segments	Branch
33.4b	3	`x`
36.6b	4	`y`
34.7b	7	`z`
35.0b	5	`t`
33.5b	5	`a`
38.1b	3	`b`

Compiler

Compiled 55 to 43 computations (21.8% saved)

bsearch231.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	3.40499954080646e-87	5.753448188943922e-65
150.0ms	-2.930975654195354e-74	-8.211177397443933e-81

Compiler

Compiled 30 to 21 computations (30% saved)

regimes56.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
x
x
x

Outputs
x

Calls

6 calls:

9.0ms	a
9.0ms	y
9.0ms	b
9.0ms	t
8.0ms	x

Results

Error	Segments	Branch
39.2b	1	`x`
39.2b	1	`y`
39.2b	1	`z`
39.2b	1	`t`
39.2b	1	`a`
39.2b	1	`b`

Compiler

Compiled 52 to 42 computations (19.2% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
11×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	1402
1	276	1402

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -4820638277270637/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(if (<=.f64 b -100000000000000002309309130269787154892983822485169927543056457815484218967945768886576179686795076111078238543825857419659919011313587350687602971665369018571203143144663564875896666980352) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 b -100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (+.f64 (+.f64 (.f64 y z) (.f64 a t)) (.f64 (.f64 a z) b)) (if (<=.f64 b -125936312396131183900456563770908758187679154176) (+.f64 (+.f64 (.f64 (.f64 a z) b) (.f64 a t)) x) (if (<=.f64 b 227968106067273192790336339139371352594742320904423624529219231418064830464) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 b 430000000000000001246341055221341303752836997505526333219001244124896431017463309315258643519638472479949674686302573183417789498184060357591947752324703446892544) (+.f64 (.f64 a (+.f64 (.f64 z b) t)) x) (if (<=.f64 b 1299999999999999994598754200661058408846973325317852782205590096189150717277628233367530351920773295153717440436358183102764648718613688228594586661485373738040505873701341032980397249796517423134654286529334083584) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x)))))))
(if (<=.f64 t -1185455513050899/562949953421312) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 t 7481787098671029/93536104789177786765035829293842113257979682750464) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 y z) (+.f64 (*.f64 a t) x))))
(if (<=.f64 a -100000000000000005366162204393472) (+.f64 (.f64 a (+.f64 (.f64 z b) t)) x) (if (<=.f64 a -4719753815630207/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 a 10859240820667464/340282366920938463463374607431768211456) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x)))))
(if (<=.f64 a -100000000000000005366162204393472) (+.f64 (.f64 a (+.f64 (.f64 z b) t)) x) (if (<=.f64 a -4719753815630207/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 a 10859240820667464/340282366920938463463374607431768211456) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (+.f64 (.f64 a (+.f64 (.f64 z b) t)) x))))
(if (<=.f64 a -17476195592171741184/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 a (+.f64 (.f64 z b) t)) x) (if (<=.f64 a 10859240820667464/340282366920938463463374607431768211456) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (+.f64 (.f64 a (+.f64 (.f64 z b) t)) x)))
(if (<=.f64 z -2728659732063804928/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (if (<=.f64 z 675066489083837/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (+.f64 (.f64 t a) x) (if (<=.f64 z 3257925677135796224/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (if (<=.f64 z 699851560343765376/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x)))))
(if (<=.f64 a -95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 a -17476195592171741184/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 t a) x) (if (<=.f64 a 6807931828080263/191561942608236107294793378393788647952342390272950272) (+.f64 (.f64 y z) x) (if (<=.f64 a 6500000000000000543998140574956318989373235697722995935032378752822465187166519608238904169735901095040277000955738255056821201634053849088) (+.f64 (.f64 (.f64 b z) a) (.f64 t a)) (+.f64 (.f64 t a) x)))))
(if (<=.f64 a -95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 a -17476195592171741184/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 t a) x) (if (<=.f64 a 6807931828080263/191561942608236107294793378393788647952342390272950272) (+.f64 (.f64 y z) x) (if (<=.f64 a 6500000000000000543998140574956318989373235697722995935032378752822465187166519608238904169735901095040277000955738255056821201634053849088) (.f64 (+.f64 t (.f64 b z)) a) (+.f64 (*.f64 t a) x)))))
(if (<=.f64 t -2050000000000000068013835507919728490711563161902095109882480628468700054492073927658624618893616094447707009999480531261690068742567324393357406860884840546304) (+.f64 (.f64 t a) x) (if (<=.f64 t -75000000000000003140219060950622358403440959323848663371424064800169147646943286437871616) (+.f64 (.f64 y z) x) (if (<=.f64 t -4519043414465701/151115727451828646838272) (+.f64 (.f64 t a) x) (if (<=.f64 t -7304203937220943/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 (.f64 y z) x) (if (<=.f64 t -5636523894681421/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t -1168171845730503/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (+.f64 (.f64 y z) x) (if (<=.f64 t 2337095205497974784/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 t 2126390236263521/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 17500000000000000814727962011856710169074076771288673691557004019056275403974335196805588124958559293764877816904548352) (+.f64 (.f64 y z) x) (+.f64 (*.f64 t a) x))))))))))
(if (<=.f64 t -2050000000000000068013835507919728490711563161902095109882480628468700054492073927658624618893616094447707009999480531261690068742567324393357406860884840546304) (+.f64 (.f64 t a) x) (if (<=.f64 t -75000000000000003140219060950622358403440959323848663371424064800169147646943286437871616) (+.f64 (.f64 y z) x) (if (<=.f64 t -4519043414465701/151115727451828646838272) (+.f64 (.f64 t a) x) (if (<=.f64 t -7304203937220943/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 (.f64 y z) x) (if (<=.f64 t -5636523894681421/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t -31656543971499932/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 (.f64 y z) x) (if (<=.f64 t 2027546227060095/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424) (+.f64 (.f64 z (.f64 a b)) x) (if (<=.f64 t 2596009266797703/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (+.f64 (.f64 b (.f64 z a)) x) (if (<=.f64 t 17500000000000000814727962011856710169074076771288673691557004019056275403974335196805588124958559293764877816904548352) (+.f64 (.f64 y z) x) (+.f64 (*.f64 t a) x))))))))))
(if (<=.f64 t -2050000000000000068013835507919728490711563161902095109882480628468700054492073927658624618893616094447707009999480531261690068742567324393357406860884840546304) (+.f64 (.f64 t a) x) (if (<=.f64 t -75000000000000003140219060950622358403440959323848663371424064800169147646943286437871616) (+.f64 (.f64 y z) x) (if (<=.f64 t -4519043414465701/151115727451828646838272) (+.f64 (.f64 t a) x) (if (<=.f64 t -7304203937220943/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 (.f64 y z) x) (if (<=.f64 t -5636523894681421/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t -31656543971499932/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 (.f64 y z) x) (if (<=.f64 t 2337095205497974784/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (.f64 z (.f64 a b)) (if (<=.f64 t 2126390236263521/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 17500000000000000814727962011856710169074076771288673691557004019056275403974335196805588124958559293764877816904548352) (+.f64 (.f64 y z) x) (+.f64 (*.f64 t a) x))))))))))
(if (<=.f64 z -5939581800667777/2596148429267413814265248164610048) (+.f64 (.f64 y z) x) (if (<=.f64 z 8100914867924441/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (+.f64 (.f64 t a) x) (if (<=.f64 z 7926147905024225/1606938044258990275541962092341162602522202993782792835301376) (+.f64 (.f64 y z) x) (if (<=.f64 z 9543407306764152/1461501637330902918203684832716283019655932542976) (.f64 a t) (if (<=.f64 z 460000000000000005209911989148730551979786446411916917364659953255829021735633282620228888746853449464807424) (+.f64 (.f64 z (.f64 a b)) x) (+.f64 (*.f64 y z) x))))))
(if (<=.f64 t -2050000000000000068013835507919728490711563161902095109882480628468700054492073927658624618893616094447707009999480531261690068742567324393357406860884840546304) (+.f64 (.f64 t a) x) (if (<=.f64 t -75000000000000003140219060950622358403440959323848663371424064800169147646943286437871616) (+.f64 (.f64 y z) x) (if (<=.f64 t -4519043414465701/151115727451828646838272) (+.f64 (.f64 t a) x) (if (<=.f64 t -31656543971499932/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 (.f64 y z) x) (if (<=.f64 t 3793031759873885/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (.f64 b (.f64 a z)) (if (<=.f64 t 17500000000000000814727962011856710169074076771288673691557004019056275403974335196805588124958559293764877816904548352) (+.f64 (.f64 y z) x) (+.f64 (.f64 t a) x)))))))
(if (<=.f64 b -260000000000000004409279391255236968838452341042161078552650559159297451928410084209913951569635290474657782664332904834215356622671528521939566853056001747105703274630036317900879442149574272566645085416980480) (+.f64 (.f64 t a) x) (if (<=.f64 b -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904) (.f64 z (.f64 a b)) (if (<=.f64 b 12212674070732743231002759183000235211937273066842401900211943292473929592825845304226700656310883333493175091200000) (+.f64 (.f64 t a) x) (if (<=.f64 b 430000000000000001246341055221341303752836997505526333219001244124896431017463309315258643519638472479949674686302573183417789498184060357591947752324703446892544) (.f64 (.f64 z b) a) (if (<=.f64 b 800000000000000051624958981790716477233686019282313358158687662661886474600162292450172079946996125613163062311161473441537558360738312405085639162582330632989263609742110566423461888) (+.f64 (.f64 t a) x) (if (<=.f64 b 349999999999999979777914949692886579410939729819945412986377766587345238883449246448784982730746298110133845179025464938857614978426924936365590664987838605819365997211188859547295016044352505219550235648846676150729599735987777306624) (.f64 z y) (if (<=.f64 b 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744) (.f64 b (.f64 a z)) (.f64 z (.f64 a b)))))))))
(if (<=.f64 z -1399999999999999891154225415715423007504935737757814498046030367229121331556894656193354441108767789404913664) (.f64 z y) (if (<=.f64 z -3352017594118047/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) x (if (<=.f64 z -371357071513097792/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (.f64 a t) (if (<=.f64 z 259627908771495136/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) x (if (<=.f64 z 2896950607261334016/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 a t) (if (<=.f64 z 3257925677135796224/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) x (if (<=.f64 z 699851560343765376/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 a t) (if (<=.f64 z 4999999999999999727876154935214080) x (*.f64 z y)))))))))
(if (<=.f64 x -7463128566695553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) x (if (<=.f64 x 3813164909319553/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 a t) x))
x

Outputs
(if (<=.f64 x -4820638277270637/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)))
(if (<=.f64 x -4820638277270637/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (+.f64 (+.f64 (.f64 t a) (+.f64 x (.f64 y z))) (.f64 (.f64 z a) b)) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)))
(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
(+.f64 (+.f64 (.f64 t a) (+.f64 x (.f64 y z))) (.f64 (.f64 z a) b))
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(if (<=.f64 b -100000000000000002309309130269787154892983822485169927543056457815484218967945768886576179686795076111078238543825857419659919011313587350687602971665369018571203143144663564875896666980352) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (if (<=.f64 b -100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (+.f64 (.f64 (.f64 z a) b) (+.f64 (.f64 y z) (.f64 t a))) (if (<=.f64 b -125936312396131183900456563770908758187679154176) (+.f64 x (+.f64 (.f64 (.f64 z a) b) (.f64 t a))) (if (<=.f64 b 227968106067273192790336339139371352594742320904423624529219231418064830464) (+.f64 (.f64 y z) (+.f64 x (.f64 t a))) (if (<=.f64 b 430000000000000001246341055221341303752836997505526333219001244124896431017463309315258643519638472479949674686302573183417789498184060357591947752324703446892544) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 b 1299999999999999994598754200661058408846973325317852782205590096189150717277628233367530351920773295153717440436358183102764648718613688228594586661485373738040505873701341032980397249796517423134654286529334083584) (+.f64 (.f64 y z) (+.f64 x (.f64 t a))) (+.f64 x (.f64 z (+.f64 y (.f64 a b))))))))))
(if (<=.f64 t -1185455513050899/562949953421312) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 t 7481787098671029/93536104789177786765035829293842113257979682750464) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 y z) (+.f64 (*.f64 a t) x))))
(if (<=.f64 t -1185455513050899/562949953421312) (+.f64 (.f64 y z) (+.f64 x (.f64 t a))) (if (<=.f64 t 7481787098671029/93536104789177786765035829293842113257979682750464) (+.f64 (.f64 y z) (+.f64 x (.f64 a (.f64 z b)))) (+.f64 (.f64 y z) (+.f64 x (*.f64 t a)))))
(if (<=.f64 a -100000000000000005366162204393472) (+.f64 (.f64 a (+.f64 (.f64 z b) t)) x) (if (<=.f64 a -4719753815630207/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 a 10859240820667464/340282366920938463463374607431768211456) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) x) (+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x)))))
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(if (<=.f64 x -7463128566695553/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) x (if (<=.f64 x 3813164909319553/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 a t) x))
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x

Compiler

Compiled 1084 to 528 computations (51.3% saved)

soundness16.0ms (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

Compiler

Compiled 232 to 140 computations (39.7% saved)

end449.0ms (2%)

Compiler: Compiled 976 to 290 computations (70.3% saved)