Details

analyze627.0ms (4.6%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample3.0s (22.1%)

Results

2.0s	8256×	body	256	valid
985.0ms	3946×	body	256	invalid

preprocess61.0ms (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)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.3b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
▶	2.6b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y z))
✓	0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
✓	0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
✓	5.6b	(.f64 (.f64 a z) b)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series25.0ms (0.2%)

Counts

4 → 204

Calls

51 calls:

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

rewrite109.0ms (0.8%)

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))))))

simplify197.0ms (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 (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
✓	3.1b	(fma.f64 a (fma.f64 z b t) x)

Compiler

Compiled 33 to 9 computations (72.7% saved)

series15.0ms (0.1%)

Counts

2 → 132

Calls

33 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify140.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

175 → 85

Calls

Call 1

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

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

eval62.0ms (0.5%)

Compiler: Compiled 5176 to 1160 computations (77.6% saved)

prune63.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	278	13	291
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	280	13	293

Error

0.0b

Counts

293 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.6b	(*.f64 a t)
	38.3b	x
▶	17.6b	(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
▶	38.3b	(.f64 z (+.f64 (.f64 a b) y))
	29.7b	(fma.f64 y z (pow.f64 (sqrt.f64 (fma.f64 a (fma.f64 z b t) x)) 2))
▶	26.1b	(+.f64 (*.f64 a t) x)
	47.9b	(*.f64 z y)
	42.3b	(.f64 (+.f64 t (.f64 b z)) a)
	23.6b	(fma.f64 z y x)
	23.6b	(+.f64 (*.f64 y z) x)
▶	11.2b	(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
	27.4b	(+.f64 (fma.f64 a t (.f64 z y)) (.f64 (*.f64 a z) b))
	27.4b	(+.f64 (+.f64 (.f64 y z) (.f64 a t)) (.f64 (.f64 a z) b))

Compiler

Compiled 331 to 226 computations (31.7% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 10 computations (67.7% saved)

series5.0ms (0%)

Counts

1 → 15

Calls

15 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	62
1	19	62
2	24	62

Stop Event

1×

saturated

Counts

108 → 102

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize7.0ms (0%)

Compiler: Compiled 17 to 8 computations (52.9% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 25 to 9 computations (64% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

12 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	348
1	23	321
2	38	267
3	44	267

Stop Event

1×

saturated

Counts

61 → 32

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)))

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
✓	3.2b	(.f64 a (+.f64 (.f64 z b) t))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series12.0ms (0.1%)

Counts

2 → 98

Calls

27 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
537×	`fma-def_binary64`
487×	`pow-prod-down_binary64`
313×	`pow2_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	223	17
2	3334	17

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

simplify25.0ms (0.2%)

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	763
1	68	763
2	87	763
3	93	763

Stop Event

1×

saturated

Counts

231 → 155

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

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

eval52.0ms (0.4%)

Compiler: Compiled 3940 to 1021 computations (74.1% saved)

prune64.0ms (0.5%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	280	9	289
Fresh	4	4	8
Picked	1	0	1
Done	1	3	4
Total	286	16	302

Error

0.0b

Counts

302 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	38.3b	x
	36.8b	(+.f64 x (fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t)))
✓	26.1b	(+.f64 (*.f64 a t) x)
▶	36.0b	(+.f64 (.f64 y z) (.f64 a t))
▶	42.3b	(.f64 (+.f64 t (.f64 b z)) a)
	28.2b	(+.f64 x (.f64 b (.f64 z a)))
	54.3b	(.f64 a (.f64 z b))
▶	11.2b	(fma.f64 t a (+.f64 x (*.f64 y z)))
✓	38.3b	(.f64 z (+.f64 (.f64 a b) y))
	42.0b	(+.f64 x (fma.f64 (.f64 (.f64 z b) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a t)))
	48.5b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))
▶	47.9b	(*.f64 z y)
	23.6b	(fma.f64 z y x)
	23.6b	(+.f64 (*.f64 y z) x)
✓	50.6b	(*.f64 a t)
▶	52.9b	(.f64 z (.f64 a b))

Compiler

Compiled 380 to 254 computations (33.2% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 9 computations (66.7% saved)

localize5.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(.f64 (+.f64 t (.f64 b z)) a)

Compiler

Compiled 25 to 9 computations (64% saved)

series5.0ms (0%)

Counts

1 → 44

Calls

12 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

65 → 28

Calls

Call 1

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

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

localize11.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 12

Calls

12 calls:

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

rewrite57.0ms (0.4%)

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))))))

simplify8.0ms (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)

eval23.0ms (0.2%)

Compiler: Compiled 1523 to 510 computations (66.5% saved)

prune31.0ms (0.2%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	7	8
Picked	0	1	1
Done	1	6	7
Total	122	16	138

Error

0.0b

Counts

138 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	38.3b	x
▶	36.8b	(+.f64 x (fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t)))
✓	26.1b	(+.f64 (*.f64 a t) x)
✓	36.0b	(+.f64 (.f64 y z) (.f64 a t))
✓	42.3b	(.f64 (+.f64 t (.f64 b z)) a)
▶	28.2b	(+.f64 x (.f64 b (.f64 z a)))
	36.0b	(fma.f64 t a (*.f64 y z))
✓	38.3b	(.f64 z (+.f64 (.f64 a b) y))
	42.0b	(+.f64 x (fma.f64 (.f64 (.f64 z b) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a t)))
▶	48.5b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))
✓	47.9b	(*.f64 z y)
▶	23.6b	(fma.f64 z y x)
	23.6b	(+.f64 (*.f64 y z) x)
✓	50.6b	(*.f64 a t)
✓	52.9b	(.f64 z (.f64 a b))
▶	54.3b	(.f64 a (.f64 z b))

Compiler

Compiled 330 to 219 computations (33.6% saved)

localize6.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(.f64 a (.f64 z b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

9 calls:

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

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	10	84
2	17	84
3	19	84

Stop Event

1×

saturated

Counts

23 → 12

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))

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 b (.f64 z a)))
✓	5.6b	(.f64 b (.f64 z a))

Compiler

Compiled 25 to 9 computations (64% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`pow1_binary64`
863×	`add-log-exp_binary64`
863×	`log1p-expm1-u_binary64`
863×	`expm1-log1p-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	15
2	2330	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

131 → 55

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a b) 2)
✓	1.6b	(-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y))
✓	6.2b	(.f64 (-.f64 (pow.f64 (.f64 a b) 2) (*.f64 y y)) z)
✓	17.4b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))

Compiler

Compiled 64 to 24 computations (62.5% saved)

series23.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(pow.f64 (*.f64 a b) 2)
1.0ms	a	@	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log-prod_binary64`
509×	`fma-def_binary64`
258×	`fma-neg_binary64`
257×	`expm1-udef_binary64`
257×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	295	44
2	4231	44

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (.f64 a b) y))
(.f64 (-.f64 (pow.f64 (.f64 a b) 2) (*.f64 y y)) z)
(-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y))
(pow.f64 (*.f64 a b) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 a b y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 a b y) z))) (cbrt.f64 (exp.f64 (.f64 (fma.f64 a b y) z))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 a b y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 a b y) z)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 a b y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 a b y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a b) 2) (/.f64 (-.f64 (.f64 a b) y) z)) (/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 a b) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (/.f64 1 (/.f64 (-.f64 (.f64 a b) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (.f64 z (/.f64 1 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (/.f64 1 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (/.f64 1 (-.f64 (.f64 a b) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 a b y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 a b y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 2) (.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (/.f64 1 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 a b y) z)) (pow.f64 (cbrt.f64 (.f64 (fma.f64 a b y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 a b y) z)) 2) (cbrt.f64 (.f64 (fma.f64 a b y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (/.f64 1 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 a b y) z)) (sqrt.f64 (.f64 (fma.f64 a b y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (neg.f64 z)) (/.f64 1 (neg.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 a b) y)) (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a b y) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) 1) (/.f64 z (-.f64 (.f64 a b) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (fma.f64 a b y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 2) 1) (/.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (-.f64 (.f64 a b) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 1) (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (-.f64 (.f64 a b) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (pow.f64 (cbrt.f64 (-.f64 (.f64 a b) y)) 2)) (/.f64 z (cbrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 (.f64 a b) y)) 2)) (/.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (cbrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 a b) y)) 2)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (cbrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 a b) y)) 2)) (cbrt.f64 (.f64 (fma.f64 a b y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (.f64 a b) y)) 2)) (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (cbrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (sqrt.f64 (-.f64 (.f64 a b) y))) (/.f64 z (sqrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 a b) y))) (/.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (sqrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a b) y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (sqrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 2) (sqrt.f64 (-.f64 (.f64 a b) y))) (/.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) (sqrt.f64 (-.f64 (.f64 a b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y))) (fma.f64 a b y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) (-.f64 (pow.f64 (.f64 a b) 3) (pow.f64 y 3))) (fma.f64 y (fma.f64 a b y) (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 a b y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 a b y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 a b y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 a b y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 (fma.f64 a b y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (.f64 (fma.f64 a b y) z)) 1) -1)))) (#(struct:change #<rule 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1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 a b) 2) z) (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (pow.f64 (.f64 a b) 2)) (.f64 z (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)))) (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 6) (pow.f64 y 6)) z) (fma.f64 (.f64 y y) (fma.f64 y y (pow.f64 (.f64 a b) 2)) (pow.f64 (.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 4) (pow.f64 y 4)) z) (fma.f64 y y (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (-.f64 (pow.f64 (.f64 a b) 6) (pow.f64 y 6))) (fma.f64 (.f64 y y) (fma.f64 y y (pow.f64 (.f64 a b) 2)) (pow.f64 (.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (-.f64 (pow.f64 (.f64 a b) 4) (pow.f64 y 4))) (fma.f64 y y (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 a b) 2) z (.f64 (.f64 y (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (pow.f64 (.f64 a b) 2) (.f64 z (*.f64 y (neg.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 a b) 2) (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 a b) 2) (.f64 (.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (neg.f64 y)) (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 b (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b (.f64 a (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a b) (.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a a) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b b) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 a b)) 3) (sqrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a b) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))))))

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
561×	`fma-neg_binary64`
520×	`cancel-sign-sub-inv_binary64`
271×	`distribute-rgt-neg-in_binary64`
235×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	2389
1	208	2245
2	701	2035
3	2901	2035
4	7740	2035

Stop Event

1×	node limit

Counts

373 → 244

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 z b)))
(-.f64 (+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 z b)) (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) y)))) (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) z)) y)))
(-.f64 (+.f64 (.f64 y z) (+.f64 (/.f64 (.f64 a (.f64 (-.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2)))) (.f64 -1 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)))) b)) (pow.f64 y 2)) (+.f64 (.f64 a (.f64 z b)) (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) y))))) (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) z)) y)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 z b)) (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z))) y))))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 (-.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z))) b)) (pow.f64 y 2))) (+.f64 (.f64 a (.f64 z b)) (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) z))) y)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z) (-.f64 (*.f64 a b) y))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) z)) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 z (pow.f64 b 2))) (.f64 -1 (.f64 (pow.f64 y 2) z)))
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(.f64 (-.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 y 2)) z)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))

Outputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 z b)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 b (.f64 z a))
(.f64 z (.f64 a b))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(+.f64 (.f64 y z) (.f64 a (*.f64 b z)))
(fma.f64 y z (.f64 a (.f64 z b)))
(.f64 z (+.f64 y (.f64 a b)))
(*.f64 z (fma.f64 a b y))
(.f64 a (.f64 b z))
(.f64 a (.f64 z b))
(.f64 b (.f64 z a))
(.f64 z (.f64 a b))
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(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 y y))
(-.f64 (.f64 b (.f64 b (.f64 a a))) (.f64 y y))
(.f64 (fma.f64 a b y) (-.f64 (.f64 a b) y))
(*.f64 (fma.f64 a b (neg.f64 y)) (fma.f64 a b y))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 b (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b b)))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t)))
✓	0.1b	(fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t))
✓	0.1b	(.f64 a (sqrt.f64 (.f64 z b)))
✓	9.6b	(sqrt.f64 (*.f64 z b))

Compiler

Compiled 57 to 12 computations (78.9% saved)

series73.0ms (0.5%)

Counts

4 → 72

Calls

42 calls:

Time	Variable		Point	Expression
15.0ms	z	@	inf	(.f64 a (sqrt.f64 (.f64 z b)))
4.0ms	b	@	-inf	(fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t))
3.0ms	z	@	-inf	(fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t))
3.0ms	b	@	inf	(fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t))
3.0ms	z	@	0	(fma.f64 (.f64 a (sqrt.f64 (.f64 z b))) (sqrt.f64 (.f64 z b)) (.f64 a t))

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`prod-diff_binary64`
643×	`log-prod_binary64`
331×	`pow2_binary64`
269×	`fma-def_binary64`
234×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	248	44
2	3231	38

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

Outputs
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t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a (.f64 z b) (.f64 a t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 a (.f64 z b) (.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a (.f64 z b)) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 a (.f64 z b) (.f64 a t)))))) (#(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 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 a (.f64 z b) (.f64 a t))) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 z b) (.f64 a t))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 z b) (.f64 a t))) 2) (cbrt.f64 (fma.f64 a (.f64 z b) (.f64 a t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 z b) (.f64 a a))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 z b)) a)) (sqrt.f64 (.f64 z b))) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 a (.f64 z b) (.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a (.f64 z b) (.f64 a t))) (sqrt.f64 (fma.f64 a (.f64 z b) (.f64 a t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 z b)) a)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 z b)) a)) (sqrt.f64 (.f64 z b))) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 z b))) 2) (cbrt.f64 (.f64 a (.f64 z b))) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (.f64 z b))) (sqrt.f64 (.f64 a (.f64 z b))) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 z b)) a)) (pow.f64 (.f64 z b) 1/4)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 z b)) a)) (pow.f64 (.f64 z b) 1/4)) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 z b)) a) (cbrt.f64 (.f64 z b))) (cbrt.f64 (sqrt.f64 (.f64 z b))) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 z b)) a) (pow.f64 (.f64 z b) 1/4)) (pow.f64 (.f64 z b) 1/4) (fma.f64 a t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (sqrt.f64 (*.f64 z b)) a) (sqrt.f64 z)) (sqrt.f64 b) (fma.f64 a t x))))))

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-def_binary64`
470×	`fma-neg_binary64`
96×	`cancel-sign-sub-inv_binary64`
81×	`associate-l_binary64`
77×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	559
1	92	559
2	195	559
3	384	559
4	866	559
5	1396	559
6	1676	559
7	1984	559
8	2059	559
9	2071	559
10	2077	559
11	2082	559

Stop Event

1×

saturated

Counts

210 → 157

Calls

Call 1

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

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

eval158.0ms (1.2%)

Compiler: Compiled 9725 to 3016 computations (69% saved)

prune104.0ms (0.8%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	492	3	495
Fresh	0	4	4
Picked	1	0	1
Done	1	10	11
Total	494	17	511

Error

Counts

511 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(pow.f64 (sqrt.f64 (fma.f64 (*.f64 b z) a x)) 2)
	42.0b	(+.f64 x (fma.f64 (.f64 (.f64 z b) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a t)))
	38.3b	x
✓	26.1b	(+.f64 (*.f64 a t) x)
✓	36.0b	(+.f64 (.f64 y z) (.f64 a t))
✓	42.3b	(.f64 (+.f64 t (.f64 b z)) a)
✓	28.2b	(+.f64 x (.f64 b (.f64 z a)))
	36.0b	(fma.f64 t a (*.f64 y z))
✓	38.3b	(.f64 z (+.f64 (.f64 a b) y))
	47.4b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 a b) 2) (.f64 y y)) 1) (/.f64 z (-.f64 (.f64 a b) y)))
✓	47.9b	(*.f64 z y)
✓	23.6b	(fma.f64 z y x)
	23.6b	(+.f64 (*.f64 y z) x)
✓	50.6b	(*.f64 a t)
✓	52.9b	(.f64 z (.f64 a b))
	58.7b	(/.f64 (.f64 b (.f64 z (.f64 b (.f64 a a)))) (-.f64 (*.f64 a b) y))
✓	54.3b	(.f64 a (.f64 z b))

Compiler

Compiled 224 to 155 computations (30.8% saved)

regimes462.0ms (3.4%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

7 calls:

163.0ms	z
134.0ms	t
46.0ms	x
41.0ms	a
27.0ms	b

Results

Error	Segments	Branch
2.6b	1	`x`
2.6b	1	`y`
2.6b	1	`z`
1.3b	2	`t`
0.1b	3	`a`
1.0b	2	`b`
0.8b	2	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 319 to 127 computations (60.2% saved)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	6.467021878229546e-40	8.278332259814782e-40
19.0ms	-55664276797161.75	-116959637922.06657

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes227.0ms (1.7%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

7 calls:

61.0ms	b
28.0ms	x
27.0ms	t
27.0ms	a
26.0ms	y

Results

Error	Segments	Branch
2.6b	1	`x`
2.6b	1	`y`
2.6b	1	`z`
2.6b	1	`t`
2.6b	1	`a`
0.8b	3	`b`
1.1b	2	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 266 to 112 computations (57.9% saved)

bsearch95.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	1.5814842360598363e-229	1.2720869879867593e-225
47.0ms	-1.598754333812799e-67	-3.586737575193678e-85

Compiler

Compiled 30 to 21 computations (30% saved)

regimes233.0ms (1.7%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

7 calls:

62.0ms	b
41.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
25.0ms	x
25.0ms	a
25.0ms	z

Results

Error	Segments	Branch
2.6b	1	`x`
2.6b	1	`y`
2.6b	1	`z`
2.6b	1	`t`
2.6b	1	`a`
0.8b	3	`b`
1.1b	2	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 201 to 92 computations (54.2% saved)

bsearch101.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	1.5814842360598363e-229	1.2720869879867593e-225
50.0ms	-1.598754333812799e-67	-3.586737575193678e-85

Compiler

Compiled 30 to 21 computations (30% saved)

regimes388.0ms (2.8%)

Counts

17 → 6

Calls

Call 1

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

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

Calls

6 calls:

95.0ms	z
90.0ms	t
68.0ms	x
50.0ms	y
49.0ms	b

Results

Error	Segments	Branch
7.1b	3	`x`
6.6b	3	`y`
6.1b	6	`z`
7.9b	5	`t`
8.3b	3	`a`
7.0b	3	`b`

Compiler

Compiled 155 to 73 computations (52.9% saved)

bsearch360.0ms (2.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
26.0ms	31080.30376776488	3704898.9319669474
25.0ms	-1.8149598722105035e-278	-3.287100163621304e-285
25.0ms	-9.971070094947713e+19	-18436644706322108000.0
177.0ms	-3.724062929541388e+70	-2.4815672684307038e+64
108.0ms	-1.0305455464253943e+102	-1.4946979221254972e+100

Compiler

Compiled 510 to 357 computations (30% saved)

regimes245.0ms (1.8%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

6 calls:

50.0ms	x
48.0ms	b
42.0ms	y
37.0ms	z
34.0ms	t

Results

Error	Segments	Branch
10.2b	7	`x`
10.7b	5	`y`
8.5b	5	`z`
13.7b	5	`t`
11.5b	3	`a`
12.0b	6	`b`

Compiler

Compiled 118 to 63 computations (46.6% saved)

bsearch226.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	31080.30376776488	3704898.9319669474
25.0ms	-136122.17519292585	-160.01904838634462
124.0ms	-3.724062929541388e+70	-2.4815672684307038e+64
53.0ms	-1.0305455464253943e+102	-1.4946979221254972e+100

Compiler

Compiled 510 to 357 computations (30% saved)

regimes258.0ms (1.9%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	b
57.0ms	a
41.0ms	y
41.0ms	x
27.0ms	z

Results

Error	Segments	Branch
14.3b	6	`x`
15.3b	6	`y`
13.6b	4	`z`
17.2b	4	`t`
13.7b	9	`a`
13.8b	9	`b`

Compiler

Compiled 109 to 60 computations (45% saved)

bsearch101.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
35.0ms	31080.30376776488	3704898.9319669474
41.0ms	9.884033008853764e-114	1.9856477031309846e-106
25.0ms	-136122.17519292585	-160.01904838634462

Compiler

Compiled 30 to 21 computations (30% saved)

regimes226.0ms (1.7%)

Counts

11 → 10

Calls

Call 1

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

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

Calls

6 calls:

58.0ms	b
44.0ms	a
36.0ms	z
36.0ms	x
24.0ms	y

Results

Error	Segments	Branch
14.3b	6	`x`
17.4b	3	`y`
13.9b	6	`z`
17.2b	4	`t`
16.0b	7	`a`
13.3b	10	`b`

Compiler

Compiled 95 to 55 computations (42.1% saved)

bsearch1.1s (8.2%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
221.0ms	3.4415128184473606e+126	8.440218251825178e+132
45.0ms	5.085013598100387e+38	7.73952177407602e+40
81.0ms	5081784959440276.0	4.404525450520363e+28
80.0ms	2.4512454174338468e-48	1.7856608981405802e-43
49.0ms	2.2240412131145797e-144	5.175321671010884e-141
48.0ms	2.2080577885491834e-266	1.756947065402339e-258
83.0ms	-9.236275042974385e-243	-1.1573611478240138e-243
282.0ms	-9.822855479846294e+114	-4.2422005822058574e+111
223.0ms	-1.1946659218858912e+175	-1.220146280475545e+164

Compiler

Compiled 752 to 544 computations (27.7% saved)

regimes223.0ms (1.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

6 calls:

56.0ms	b
54.0ms	x
42.0ms	z
24.0ms	y
22.0ms	a

Results

Error	Segments	Branch
15.9b	3	`x`
17.4b	3	`y`
17.1b	3	`z`
18.9b	3	`t`
18.9b	3	`a`
18.4b	5	`b`

Compiler

Compiled 88 to 52 computations (40.9% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	8.876939943983883e-121	8.678402690772755e-116
26.0ms	-2.1677078980924566e+42	-1.2391788623462622e+36

Compiler

Compiled 30 to 21 computations (30% saved)

regimes168.0ms (1.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

6 calls:

48.0ms	t
44.0ms	b
21.0ms	y
18.0ms	a
17.0ms	z

Results

Error	Segments	Branch
22.3b	3	`x`
17.4b	3	`y`
17.1b	3	`z`
18.9b	3	`t`
18.9b	3	`a`
19.0b	5	`b`

Compiler

Compiled 81 to 51 computations (37% saved)

bsearch61.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.0369457006605977e-104	4.176352747490032e-104
24.0ms	-7.599981451806761e-88	-1.5318097925202378e-89

Compiler

Compiled 30 to 21 computations (30% saved)

regimes210.0ms (1.5%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

6 calls:

78.0ms	x
57.0ms	a
29.0ms	z
27.0ms	y
11.0ms	b

Results

Error	Segments	Branch
21.7b	8	`x`
23.6b	5	`y`
20.5b	6	`z`
26.1b	1	`t`
23.4b	5	`a`
24.2b	2	`b`

Compiler

Compiled 76 to 49 computations (35.5% saved)

bsearch1.0s (7.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
188.0ms	3.182779182140992e+90	2.558725888469694e+98
431.0ms	7.542444663345132e+27	1.4196014363006357e+47
56.0ms	-136122.17519292585	-160.01904838634462
210.0ms	-3.724062929541388e+70	-2.4815672684307038e+64
120.0ms	-7.219279413637779e+116	-8.473189878860533e+112

Compiler

Compiled 844 to 650 computations (23% saved)

regimes517.0ms (3.8%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

6 calls:

139.0ms	a
110.0ms	b
69.0ms	t
65.0ms	y
64.0ms	x

Results

Error	Segments	Branch
27.9b	5	`x`
32.7b	5	`y`
31.0b	5	`z`
35.2b	2	`t`
30.4b	10	`a`
30.5b	11	`b`

Compiler

Compiled 71 to 48 computations (32.4% saved)

bsearch197.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	8.678402690772755e-116	1.481445470423946e-111
48.0ms	-1.4613912396342752e-300	1.2638193061443339e-306
49.0ms	-2.3963888539005345e-208	-3.882142378087259e-209
50.0ms	-2.1677078980924566e+42	-1.2391788623462622e+36

Compiler

Compiled 30 to 21 computations (30% saved)

regimes137.0ms (1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 a t)

Outputs
x
(*.f64 a t)
x

Calls

6 calls:

37.0ms	b
36.0ms	a
30.0ms	x
14.0ms	t
9.0ms	y

Results

Error	Segments	Branch
31.0b	3	`x`
38.3b	1	`y`
38.3b	1	`z`
35.2b	2	`t`
35.1b	4	`a`
35.0b	5	`b`

Compiler

Compiled 53 to 43 computations (18.9% saved)

bsearch131.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	8.678402690772755e-116	1.481445470423946e-111
84.0ms	-2.2926148297862894e+48	-2.4785597992355738e+47

Compiler

Compiled 30 to 21 computations (30% saved)

regimes46.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

6 calls:

7.0ms	z
7.0ms	a
7.0ms	x
7.0ms	y
7.0ms	t

Results

Error	Segments	Branch
38.3b	1	`x`
38.3b	1	`y`
38.3b	1	`z`
38.3b	1	`t`
38.3b	1	`a`
38.3b	1	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	758
1	163	758

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -10000000000000) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (if (<=.f64 a 1982136438213785/3064991081731777716716694054300618367237478244367204352) (+.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 b -4852891110326865/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 b 8638758675594411/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (fma.f64 t a (+.f64 x (.f64 y z))) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (*.f64 a z) b))))
(if (<=.f64 b -4852891110326865/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 b 8638758675594411/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))))
(if (<=.f64 z -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 z -99710700949477130240) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -5795792117033131/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)))))))
(if (<=.f64 z -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 z -584640290713999/4294967296) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (+.f64 (*.f64 y z) x)))))
(if (<=.f64 z -584640290713999/4294967296) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z 6851289694834651/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (.f64 a t) x) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 b (.f64 z a))) (+.f64 (.f64 y z) x))))
(if (<=.f64 b -11799999999999999891070491413212132971054480564019509368294533061780297560962174389344000386834508962761864093667633825838920279010616161920107077117296006883616619826002264064) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 b -4299999999999999934474293129610999895861920224248333058122333109740113522291869839061814178234989923584037617664) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 b -8875710761036679/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (+.f64 (.f64 y z) x) (if (<=.f64 b 3206464127410837/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 b 7817007572901381/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (+.f64 (.f64 y z) x) (if (<=.f64 b 4033535505500117/1645504557321206042154969182557350504982735865633579863348609024) (+.f64 (.f64 a t) x) (if (<=.f64 b 5081784959440276) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 b 508501359810038666398656753821045227520) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 b 8399999999999999733838736437141222916028121859163526996283626204514276867839228603709296142300338256316180903229376779018097129422848) (+.f64 (.f64 a t) x) (+.f64 x (.f64 b (.f64 z a))))))))))))
(if (<=.f64 x -2167707898092456631850481727290989522976768) (+.f64 (.f64 a t) x) (if (<=.f64 x 5161682963627169/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (.f64 y z) x)))
(if (<=.f64 z -6808807398933211/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (+.f64 (.f64 y z) x) (if (<=.f64 z 6694132272783931/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (+.f64 (.f64 a t) x) (+.f64 (*.f64 y z) x)))
(if (<=.f64 z -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408) (.f64 z y) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 (.f64 a t) x) (if (<=.f64 z -584640290713999/4294967296) (.f64 z y) (if (<=.f64 z 139999999999999993968972264119665375280415899648) (+.f64 (.f64 a t) x) (if (<=.f64 z 3199999999999999983211730406137757834105427534421829619902134231421065873225851044378968064) (.f64 z y) (+.f64 (.f64 a t) x))))))
(if (<=.f64 x -2167707898092456631850481727290989522976768) x (if (<=.f64 x -5543883222145349/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) (.f64 z y) (if (<=.f64 x -8815195556448139/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 a t) (if (<=.f64 x 481246882681643/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 z y) x))))
(if (<=.f64 x -2292614829786289446496565057389166872298826760192) x (if (<=.f64 x 481246882681643/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 a t) x))
x

Outputs
(if (<=.f64 a -10000000000000) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (if (<=.f64 a 1982136438213785/3064991081731777716716694054300618367237478244367204352) (+.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 a -10000000000000) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (if (<=.f64 a 1982136438213785/3064991081731777716716694054300618367237478244367204352) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z))) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x))))
(if (<=.f64 b -4852891110326865/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 b 8638758675594411/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (fma.f64 t a (+.f64 x (.f64 y z))) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (*.f64 a z) b))))
(if (<=.f64 b -4852891110326865/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z))) (if (<=.f64 b 8638758675594411/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (fma.f64 t a (+.f64 x (.f64 y z))) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (*.f64 a z)))))
(if (<=.f64 b -4852891110326865/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (if (<=.f64 b 8638758675594411/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))))
(if (<=.f64 b -4852891110326865/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z))) (if (<=.f64 b 8638758675594411/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (+.f64 (+.f64 x (.f64 a t)) (.f64 y z)) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z)))))
(if (<=.f64 z -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 z -99710700949477130240) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -5795792117033131/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)))))))
(if (<=.f64 z -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144) (.f64 z (+.f64 y (.f64 a b))) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 z -99710700949477130240) (.f64 z (+.f64 y (.f64 a b))) (if (<=.f64 z -5795792117033131/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (+.f64 (+.f64 x (.f64 a t)) (.f64 y z)) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (+.f64 (+.f64 x (.f64 a t)) (.f64 y z)))))))
(if (<=.f64 z -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 z -584640290713999/4294967296) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (+.f64 (*.f64 y z) x)))))
(if (<=.f64 z -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144) (.f64 z (+.f64 y (.f64 a b))) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 z -584640290713999/4294967296) (.f64 z (+.f64 y (.f64 a b))) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (+.f64 x (*.f64 y z))))))
(if (<=.f64 z -584640290713999/4294967296) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 z 6851289694834651/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (.f64 a t) x) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 b (.f64 z a))) (+.f64 (.f64 y z) x))))
(if (<=.f64 z -584640290713999/4294967296) (.f64 z (+.f64 y (.f64 a b))) (if (<=.f64 z 6851289694834651/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 x (.f64 a t)) (if (<=.f64 z 8543288846866927/274877906944) (+.f64 x (.f64 b (.f64 a z))) (+.f64 x (.f64 y z)))))
(if (<=.f64 b -11799999999999999891070491413212132971054480564019509368294533061780297560962174389344000386834508962761864093667633825838920279010616161920107077117296006883616619826002264064) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 b -4299999999999999934474293129610999895861920224248333058122333109740113522291869839061814178234989923584037617664) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 b -8875710761036679/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (+.f64 (.f64 y z) x) (if (<=.f64 b 3206464127410837/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 b 7817007572901381/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (+.f64 (.f64 y z) x) (if (<=.f64 b 4033535505500117/1645504557321206042154969182557350504982735865633579863348609024) (+.f64 (.f64 a t) x) (if (<=.f64 b 5081784959440276) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 b 508501359810038666398656753821045227520) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 b 8399999999999999733838736437141222916028121859163526996283626204514276867839228603709296142300338256316180903229376779018097129422848) (+.f64 (.f64 a t) x) (+.f64 x (.f64 b (.f64 z a))))))))))))
(if (<=.f64 b -11799999999999999891070491413212132971054480564019509368294533061780297560962174389344000386834508962761864093667633825838920279010616161920107077117296006883616619826002264064) (+.f64 x (.f64 b (.f64 a z))) (if (<=.f64 b -4299999999999999934474293129610999895861920224248333058122333109740113522291869839061814178234989923584037617664) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 b -8875710761036679/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (+.f64 x (.f64 y z)) (if (<=.f64 b 3206464127410837/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 b 7817007572901381/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (+.f64 x (.f64 y z)) (if (<=.f64 b 4033535505500117/1645504557321206042154969182557350504982735865633579863348609024) (+.f64 x (.f64 a t)) (if (<=.f64 b 5081784959440276) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 b 508501359810038666398656753821045227520) (+.f64 x (.f64 b (.f64 a z))) (if (<=.f64 b 8399999999999999733838736437141222916028121859163526996283626204514276867839228603709296142300338256316180903229376779018097129422848) (+.f64 x (.f64 a t)) (+.f64 x (.f64 b (.f64 a z))))))))))))
(if (<=.f64 x -2167707898092456631850481727290989522976768) (+.f64 (.f64 a t) x) (if (<=.f64 x 5161682963627169/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (.f64 y z) x)))
(if (<=.f64 x -2167707898092456631850481727290989522976768) (+.f64 x (.f64 a t)) (if (<=.f64 x 5161682963627169/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (.f64 a t) (.f64 y z)) (+.f64 x (.f64 y z))))
(if (<=.f64 z -6808807398933211/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (+.f64 (.f64 y z) x) (if (<=.f64 z 6694132272783931/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (+.f64 (.f64 a t) x) (+.f64 (*.f64 y z) x)))
(if (<=.f64 z -6808807398933211/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (+.f64 x (.f64 y z)) (if (<=.f64 z 6694132272783931/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (+.f64 x (.f64 a t)) (+.f64 x (*.f64 y z))))
(if (<=.f64 z -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408) (.f64 z y) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 (.f64 a t) x) (if (<=.f64 z -584640290713999/4294967296) (.f64 z y) (if (<=.f64 z 139999999999999993968972264119665375280415899648) (+.f64 (.f64 a t) x) (if (<=.f64 z 3199999999999999983211730406137757834105427534421829619902134231421065873225851044378968064) (.f64 z y) (+.f64 (.f64 a t) x))))))
(if (<=.f64 z -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408) (.f64 y z) (if (<=.f64 z -24999999999999999802259656570908462705689030423557613841392074752) (+.f64 x (.f64 a t)) (if (<=.f64 z -584640290713999/4294967296) (.f64 y z) (if (<=.f64 z 139999999999999993968972264119665375280415899648) (+.f64 x (.f64 a t)) (if (<=.f64 z 3199999999999999983211730406137757834105427534421829619902134231421065873225851044378968064) (.f64 y z) (+.f64 x (.f64 a t)))))))
(if (<=.f64 x -2167707898092456631850481727290989522976768) x (if (<=.f64 x -5543883222145349/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) (.f64 z y) (if (<=.f64 x -8815195556448139/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 a t) (if (<=.f64 x 481246882681643/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 z y) x))))
(if (<=.f64 x -2167707898092456631850481727290989522976768) x (if (<=.f64 x -5543883222145349/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) (.f64 y z) (if (<=.f64 x -8815195556448139/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 a t) (if (<=.f64 x 481246882681643/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 y z) x))))
(if (<=.f64 x -2292614829786289446496565057389166872298826760192) x (if (<=.f64 x 481246882681643/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (*.f64 a t) x))
x

Compiler

Compiled 604 to 284 computations (53% saved)

soundness66.0ms (0.5%)

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)

end496.0ms (3.6%)

Compiler: Compiled 532 to 154 computations (71.1% saved)