Details

analyze843.0ms (5.9%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample2.9s (20.2%)

Results

2.1s	8256×	body	256	valid
801.0ms	3962×	body	256	infinite

Bogosity

preprocess59.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

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

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.8b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
▶	2.1b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
✓	0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
✓	0.0b	(+.f64 x (*.f64 y z))
✓	6.8b	(.f64 (.f64 a z) b)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series27.0ms (0.2%)

Counts

4 → 204

Calls

51 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify184.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

374 → 204

Calls

Call 1

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

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

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))
✓	3.7b	(fma.f64 a (fma.f64 z b t) x)

Compiler

Compiled 33 to 9 computations (72.7% saved)

series13.0ms (0.1%)

Counts

2 → 132

Calls

33 calls:

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

simplify137.0ms (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)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 (fma.f64 z b t) a)
(*.f64 (fma.f64 b z t) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(fma.f64 t a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 z b)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 z b))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 z b))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(fma.f64 t a x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a (.f64 b z)) (+.f64 (*.f64 a t) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 b z))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 a (.f64 b z))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 (.f64 a (*.f64 b z)) x))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a (.f64 z b)) x)
(fma.f64 a (*.f64 b z) x)
(fma.f64 (*.f64 b z) a x)
(fma.f64 b (*.f64 z a) x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(*.f64 a t)
(*.f64 t a)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(*.f64 a t)
(*.f64 t a)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 a t) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(.f64 (+.f64 t (.f64 b z)) a)
(*.f64 (fma.f64 z b t) a)
(*.f64 (fma.f64 b z t) a)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
x
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 (+.f64 t (.f64 b z)) a) x)
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
(fma.f64 (fma.f64 z b t) a x)
(fma.f64 (fma.f64 b z t) a x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (*.f64 a t) x)
(fma.f64 a t x)
(fma.f64 t a x)
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(.f64 z (+.f64 (.f64 a b) y))
(*.f64 z (fma.f64 a b y))
(*.f64 z (fma.f64 b a y))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 a t) (+.f64 (.f64 z (+.f64 (*.f64 a b) y)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (*.f64 a b))) z))
(*.f64 z (fma.f64 a b y))
(*.f64 z (fma.f64 b a y))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 a t) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 a b))) z)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 (fma.f64 z b t) a)
(*.f64 (fma.f64 b z t) a)
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(.f64 a (+.f64 (.f64 z b) t))
(*.f64 (fma.f64 z b t) a)
(*.f64 (fma.f64 b z t) a)
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
(fma.f64 y z (fma.f64 a t x))
(fma.f64 z y (fma.f64 t a x))
(fma.f64 t a (fma.f64 z y x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (.f64 b z)) (+.f64 (.f64 a t) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(.f64 a (.f64 b z))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(.f64 a (.f64 b z))
(.f64 (.f64 b z) a)
(.f64 b (.f64 z a))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 b z)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
(fma.f64 y z (fma.f64 a (*.f64 b z) x))
(fma.f64 z (fma.f64 b a y) x)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(*.f64 a t)
(*.f64 t a)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(*.f64 a t)
(*.f64 t a)
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a t) (+.f64 (.f64 a (.f64 z b)) x)))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (.f64 a (+.f64 (*.f64 z b) t)))
(fma.f64 y z (*.f64 (fma.f64 z b t) a))
(fma.f64 t a (*.f64 z (fma.f64 b a y)))
(fma.f64 z (fma.f64 b a y) (*.f64 t a))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t))))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
x
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))
(+.f64 (.f64 y z) (+.f64 (.f64 a (+.f64 (*.f64 z b) t)) x))
(fma.f64 y z (fma.f64 (fma.f64 z b t) a x))
(fma.f64 t a (fma.f64 z (fma.f64 b a y) x))
(fma.f64 z y (fma.f64 (fma.f64 b z t) a x))

eval60.0ms (0.4%)

Compiler: Compiled 5228 to 1171 computations (77.6% saved)

prune69.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	277	12	289
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	279	12	291

Error

0.0b

Counts

291 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.1b	(.f64 z (+.f64 (.f64 a b) y))
▶	18.6b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
▶	12.6b	(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
▶	16.3b	(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
	38.2b	(.f64 (+.f64 t (.f64 b z)) a)
	27.0b	(+.f64 (*.f64 y z) x)
	26.9b	(fma.f64 z y x)
	37.7b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	15.7b	(+.f64 (fma.f64 a t x) (.f64 (.f64 a z) b))
	26.2b	(fma.f64 z (fma.f64 b a y) (*.f64 t a))
	24.8b	(+.f64 (fma.f64 a t (.f64 z y)) (.f64 (*.f64 a z) b))
▶	49.4b	(*.f64 z y)

Compiler

Compiled 334 to 222 computations (33.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 10 computations (67.7% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

24 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	220	14
2	3163	14

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (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	86
1	19	86
2	24	86

Stop Event

1×

saturated

Counts

175 → 159

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

localize6.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 a b) y)
✓	3.9b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 25 to 9 computations (64% saved)

series10.0ms (0.1%)

Counts

2 → 45

Calls

21 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

106 → 70

Calls

Call 1

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

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

localize156.0ms (1.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
✓	3.7b	(.f64 a (+.f64 (.f64 z b) t))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series20.0ms (0.1%)

Counts

2 → 98

Calls

27 calls:

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

rewrite97.0ms (0.7%)

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

simplify26.0ms (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)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y z) (+.f64 x (.f64 a (*.f64 z b))))
✓	6.1b	(.f64 a (.f64 z b))

Compiler

Compiled 40 to 11 computations (72.5% saved)

series10.0ms (0.1%)

Counts

2 → 66

Calls

24 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	241	19
2	3503	19

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	516
1	76	516
2	154	516
3	344	516
4	751	516
5	1263	516
6	1640	516
7	1847	516
8	1920	516
9	1930	516

Stop Event

1×

saturated

Counts

183 → 135

Calls

Call 1

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

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

eval102.0ms (0.7%)

Compiler: Compiled 7387 to 1951 computations (73.6% saved)

prune135.0ms (0.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	504	15	519
Fresh	4	3	7
Picked	1	0	1
Done	2	2	4
Total	511	20	531

Error

Counts

531 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	35.2b	(+.f64 x (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z b) 2) (*.f64 t t)) a) (fma.f64 z b (neg.f64 t))))
	26.1b	(fma.f64 t a x)
▶	34.9b	(+.f64 (.f64 y z) (.f64 a t))
	53.2b	(.f64 z (.f64 a b))
	17.8b	(+.f64 x (fma.f64 (.f64 a b) z (.f64 a t)))
▶	47.9b	(*.f64 a t)
▶	26.9b	(fma.f64 z y x)
▶	27.0b	(+.f64 (*.f64 y z) x)
	38.2b	(.f64 (+.f64 t (.f64 b z)) a)
	40.6b	x
▶	12.6b	(fma.f64 t a (+.f64 x (*.f64 y z)))
✓	49.4b	(*.f64 z y)
	38.4b	(fma.f64 (.f64 (.f64 a z) (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 z y x))
✓	40.1b	(.f64 z (+.f64 (.f64 a b) y))
	39.1b	(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
	53.0b	(.f64 a (.f64 z b))
	31.1b	(+.f64 (.f64 a (.f64 b z)) x)
	37.7b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	26.1b	(+.f64 (*.f64 a t) x)
	30.0b	(+.f64 x (.f64 b (.f64 z a)))

Compiler

Compiled 487 to 332 computations (31.8% saved)

localize14.0ms (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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize8.0ms (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	t	@	-inf	(+.f64 (.f64 y z) (.f64 a t))
0.0ms	a	@	-inf	(+.f64 (.f64 y z) (.f64 a t))
0.0ms	y	@	-inf	(+.f64 (.f64 y z) (.f64 a t))
0.0ms	y	@	inf	(+.f64 (.f64 y z) (.f64 a t))

rewrite63.0ms (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))))))

simplify10.0ms (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)

localize6.0ms (0%)

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

eval29.0ms (0.2%)

Compiler: Compiled 1595 to 535 computations (66.5% saved)

prune38.0ms (0.3%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	2	11	13
Picked	0	1	1
Done	1	5	6
Total	123	20	143

Error

Counts

143 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	x
▶	17.8b	(+.f64 x (fma.f64 (.f64 a b) z (.f64 a t)))
✓	34.9b	(+.f64 (.f64 y z) (.f64 a t))
	53.2b	(.f64 z (.f64 a b))
✓	47.9b	(*.f64 a t)
✓	26.9b	(fma.f64 z y x)
✓	27.0b	(+.f64 (*.f64 y z) x)
▶	38.2b	(.f64 (+.f64 t (.f64 b z)) a)
▶	34.9b	(fma.f64 t a (*.f64 z y))
✓	49.4b	(*.f64 z y)
	38.4b	(fma.f64 (.f64 (.f64 a z) (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 z y x))
✓	40.1b	(.f64 z (+.f64 (.f64 a b) y))
	39.1b	(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
	35.2b	(+.f64 x (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z b) 2) (*.f64 t t)) a) (fma.f64 z b (neg.f64 t))))
▶	53.0b	(.f64 a (.f64 z b))
	31.1b	(+.f64 (.f64 a (.f64 b z)) x)
▶	37.7b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	26.1b	(fma.f64 t a x)
	26.1b	(+.f64 (*.f64 a t) x)
	30.0b	(+.f64 x (.f64 b (.f64 z a)))

Compiler

Compiled 440 to 299 computations (32% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (fma.f64 (.f64 a b) z (.f64 a t)))
✓	5.9b	(fma.f64 (.f64 a b) z (.f64 a t))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series11.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`prod-diff_binary64`
531×	`log-prod_binary64`
391×	`pow-prod-down_binary64`
286×	`pow2_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	207	25
2	2739	23

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	849
1	99	849
2	202	849
3	392	849
4	876	849
5	1389	849
6	1618	849
7	1821	849
8	1894	849
9	1904	849

Stop Event

1×

saturated

Counts

197 → 110

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.1b	(.f64 a (.f64 z b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(.f64 (+.f64 t (.f64 b z)) a)

Compiler

Compiled 25 to 9 computations (64% saved)

series4.0ms (0%)

Counts

1 → 44

Calls

12 calls:

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

rewrite60.0ms (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)))))))

simplify16.0ms (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 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	6.8b	(.f64 (.f64 a z) b)

Compiler

Compiled 30 to 10 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

131 → 92

Calls

Call 1

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

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

localize7.0ms (0%)

Compiler: Compiled 19 to 8 computations (57.9% saved)

eval51.0ms (0.4%)

Compiler: Compiled 3681 to 945 computations (74.3% saved)

prune57.0ms (0.4%)

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	260	6	266
Fresh	5	4	9
Picked	0	1	1
Done	1	9	10
Total	266	20	286

Error

Counts

286 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	39.3b	(fma.f64 (.f64 b a) z (.f64 a t))
✓	53.0b	(.f64 a (.f64 z b))
	31.1b	(+.f64 (.f64 a (.f64 z b)) x)
✓	34.9b	(+.f64 (.f64 y z) (.f64 a t))
	40.6b	x
✓	47.9b	(*.f64 a t)
✓	26.9b	(fma.f64 z y x)
	53.2b	(.f64 z (.f64 a b))
✓	34.9b	(fma.f64 t a (*.f64 z y))
	26.1b	(+.f64 (*.f64 a t) x)
✓	27.0b	(+.f64 (*.f64 y z) x)
✓	38.2b	(.f64 (+.f64 t (.f64 b z)) a)
✓	40.1b	(.f64 z (+.f64 (.f64 a b) y))
	39.1b	(+.f64 (.f64 (.f64 z a) b) (*.f64 z y))
	51.1b	(fma.f64 (.f64 (.f64 a z) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a t))
✓	37.7b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	26.1b	(fma.f64 t a x)
	52.0b	(/.f64 (.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 b z) 2)) a) (-.f64 t (.f64 b z)))
	30.0b	(+.f64 x (.f64 b (.f64 z a)))
✓	49.4b	(*.f64 z y)

Compiler

Compiled 251 to 173 computations (31.1% saved)

regimes267.0ms (1.9%)

Counts

38 → 2

Calls

Call 1

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

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

Calls

7 calls:

63.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
52.0ms	y
42.0ms	a
36.0ms	b
22.0ms	t

Results

Error	Segments	Branch
2.1b	1	`x`
1.1b	3	`y`
2.1b	1	`z`
2.1b	1	`t`
0.6b	2	`a`
0.8b	2	`b`
0.8b	2	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 362 to 127 computations (64.9% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	-5.850392312947233e+89	-1.598069794680488e+85

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes215.0ms (1.5%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

7 calls:

50.0ms	y
40.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
35.0ms	a
25.0ms	t
19.0ms	x

Results

Error	Segments	Branch
2.1b	1	`x`
1.1b	3	`y`
2.1b	1	`z`
2.1b	1	`t`
1.1b	2	`a`
2.1b	1	`b`
0.8b	2	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 327 to 120 computations (63.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-7.723781685858306e+304

Compiler

Compiled 30 to 21 computations (30% saved)

regimes238.0ms (1.7%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

6 calls:

52.0ms	z
44.0ms	x
40.0ms	y
33.0ms	b
32.0ms	t

Results

Error	Segments	Branch
10.4b	4	`x`
7.5b	3	`y`
7.3b	4	`z`
7.2b	3	`t`
7.5b	3	`a`
6.9b	3	`b`

Compiler

Compiled 180 to 74 computations (58.9% saved)

bsearch88.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	8.505415790478113e+148	1.219102952042142e+150
23.0ms	-14693103565411.047	-1.5764759868141796e-16

Compiler

Compiled 222 to 153 computations (31.1% saved)

regimes156.0ms (1.1%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

6 calls:

36.0ms	a
30.0ms	x
29.0ms	y
28.0ms	z
19.0ms	b

Results

Error	Segments	Branch
11.3b	3	`x`
10.0b	3	`y`
11.4b	2	`z`
12.6b	1	`t`
10.0b	4	`a`
9.8b	2	`b`

Compiler

Compiled 151 to 66 computations (56.3% saved)

bsearch89.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
89.0ms	8.505415790478113e+148	1.219102952042142e+150

Compiler

Compiled 210 to 147 computations (30% saved)

regimes452.0ms (3.2%)

Counts

18 → 6

Calls

Call 1

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

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

Calls

6 calls:

104.0ms	b
101.0ms	z
81.0ms	x
71.0ms	y
45.0ms	a

Results

Error	Segments	Branch
14.0b	6	`x`
17.1b	5	`y`
16.2b	5	`z`
17.0b	5	`t`
16.7b	5	`a`
16.1b	7	`b`

Compiler

Compiled 142 to 65 computations (54.2% saved)

bsearch180.0ms (1.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
49.0ms	2.772879766392634e+60	1.588259208547528e+64
24.0ms	1.4936948615263083e-118	6.648620860454453e-115
28.0ms	8.491568749645182e-187	5.66843916041461e-186
54.0ms	-4.0556144258841084e-112	-1.9313587414908917e-115
24.0ms	-1.1359356546424513e+43	-3.2185361290655416e+28

Compiler

Compiled 30 to 21 computations (30% saved)

regimes977.0ms (6.8%)

Counts

17 → 9

Calls

Call 1

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

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

Calls

6 calls:

279.0ms	x
250.0ms	b
249.0ms	a
87.0ms	y
54.0ms	t

Results

Error	Segments	Branch
13.2b	9	`x`
17.1b	5	`y`
16.2b	5	`z`
17.0b	5	`t`
16.7b	5	`a`
16.1b	7	`b`

Compiler

Compiled 133 to 63 computations (52.6% saved)

bsearch652.0ms (4.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
54.0ms	2.772879766392634e+60	1.588259208547528e+64
24.0ms	1.4936948615263083e-118	6.648620860454453e-115
169.0ms	8.491568749645182e-187	5.66843916041461e-186
55.0ms	4.465289602063735e-222	3.549542375367158e-218
23.0ms	6.805891224584618e-256	7.856086612440164e-255
120.0ms	6.864780957937609e-299	3.6345822210783117e-298
156.0ms	-4.0556144258841084e-112	-1.9313587414908917e-115
50.0ms	-7.550512763587508e-11	-7.965561233632055e-12

Compiler

Compiled 30 to 21 computations (30% saved)

regimes658.0ms (4.6%)

Counts

16 → 6

Calls

Call 1

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

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

Calls

6 calls:

193.0ms	b
192.0ms	a
129.0ms	x
49.0ms	y
49.0ms	z

Results

Error	Segments	Branch
14.2b	6	`x`
17.1b	5	`y`
16.2b	5	`z`
17.0b	5	`t`
17.0b	6	`a`
16.1b	7	`b`

Compiler

Compiled 126 to 61 computations (51.6% saved)

bsearch535.0ms (3.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
154.0ms	2.772879766392634e+60	1.588259208547528e+64
62.0ms	1.4936948615263083e-118	6.648620860454453e-115
79.0ms	8.491568749645182e-187	5.66843916041461e-186
49.0ms	-4.0556144258841084e-112	-1.9313587414908917e-115
189.0ms	-7.550512763587508e-11	-7.965561233632055e-12

Compiler

Compiled 30 to 21 computations (30% saved)

regimes412.0ms (2.9%)

Counts

14 → 7

Calls

Call 1

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

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

Calls

6 calls:

165.0ms	a
90.0ms	b
51.0ms	x
43.0ms	y
38.0ms	t

Results

Error	Segments	Branch
14.4b	7	`x`
17.4b	5	`y`
18.7b	3	`z`
17.0b	5	`t`
18.2b	4	`a`
18.6b	5	`b`

Compiler

Compiled 112 to 56 computations (50% saved)

bsearch472.0ms (3.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
161.0ms	2.772879766392634e+60	1.588259208547528e+64
22.0ms	6.648620860454453e-115	7.285941776662251e-110
59.0ms	8.491568749645182e-187	5.66843916041461e-186
24.0ms	-3.189634565979898e-72	-7.734767468335498e-98
150.0ms	-3.243150823716611e-70	-8.899019967384116e-71
54.0ms	-7.550512763587508e-11	-7.965561233632055e-12

Compiler

Compiled 30 to 21 computations (30% saved)

regimes380.0ms (2.7%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

6 calls:

94.0ms	x
71.0ms	t
70.0ms	y
56.0ms	a
43.0ms	b

Results

Error	Segments	Branch
18.5b	7	`x`
18.6b	4	`y`
18.7b	3	`z`
17.0b	5	`t`
18.2b	4	`a`
18.6b	5	`b`

Compiler

Compiled 98 to 52 computations (46.9% saved)

bsearch171.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
37.0ms	2.1286021875143142e-51	3.4205618867844126e-36
47.0ms	2.4993624231611803e-154	1.1643551043918473e-151
41.0ms	9.925897071846565e-200	2.143981593656971e-198
45.0ms	-1.6119965428106187e-28	-1.766487049603961e-31

Compiler

Compiled 30 to 21 computations (30% saved)

regimes153.0ms (1.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	b
34.0ms	x
21.0ms	z
21.0ms	a
20.0ms	y

Results

Error	Segments	Branch
19.7b	5	`x`
20.4b	3	`y`
18.7b	3	`z`
18.1b	3	`t`
19.5b	3	`a`
20.3b	5	`b`

Compiler

Compiled 91 to 51 computations (44% saved)

bsearch81.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	2.1286021875143142e-51	3.4205618867844126e-36
39.0ms	-1.6119965428106187e-28	-1.766487049603961e-31

Compiler

Compiled 30 to 21 computations (30% saved)

regimes192.0ms (1.3%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

6 calls:

49.0ms	a
45.0ms	x
31.0ms	b
28.0ms	z
26.0ms	y

Results

Error	Segments	Branch
22.6b	5	`x`
23.8b	2	`y`
22.5b	4	`z`
26.1b	1	`t`
23.6b	5	`a`
24.7b	3	`b`

Compiler

Compiled 71 to 47 computations (33.8% saved)

bsearch290.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
12.0ms	3.095093373837307e+236	1.016669659401574e+237
248.0ms	-111913704095.22339	-3.206884974786228e-7
30.0ms	-1.1390807533813e+153	-8.6737325905459e+150

Compiler

Compiled 514 to 395 computations (23.2% saved)

regimes489.0ms (3.4%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

6 calls:

180.0ms	z
167.0ms	b
61.0ms	x
28.0ms	a
26.0ms	y

Results

Error	Segments	Branch
26.7b	6	`x`
33.0b	6	`y`
33.2b	8	`z`
34.5b	5	`t`
32.9b	7	`a`
38.1b	3	`b`

Compiler

Compiled 61 to 46 computations (24.6% saved)

bsearch217.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	2.772879766392634e+60	1.588259208547528e+64
144.0ms	4.465289602063735e-222	3.549542375367158e-218
23.0ms	6.805891224584618e-256	7.856086612440164e-255
0.0ms	-7.031283581943568e-124	-6.861346613830855e-124
27.0ms	-3.298003913576571e+88	-1.4299138090894838e+78

Compiler

Compiled 30 to 21 computations (30% saved)

regimes77.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 a t)

Outputs
x
(*.f64 a t)
x

Calls

6 calls:

17.0ms	z
17.0ms	y
14.0ms	t
12.0ms	x
11.0ms	a

Results

Error	Segments	Branch
30.1b	3	`x`
37.3b	4	`y`
38.2b	5	`z`
35.5b	3	`t`
36.2b	3	`a`
40.6b	1	`b`

Compiler

Compiled 53 to 43 computations (18.9% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	2.772879766392634e+60	1.588259208547528e+64
26.0ms	-3.189634565979898e-72	-7.734767468335498e-98

Compiler

Compiled 30 to 21 computations (30% saved)

regimes53.0ms (0.4%)

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:

34.0ms	t
3.0ms	a
3.0ms	b
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
40.6b	1	`x`
40.6b	1	`y`
40.6b	1	`z`
40.6b	1	`t`
40.6b	1	`a`
40.6b	1	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
11×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	782
1	156	782

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) -inf.0) (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(if (<=.f64 b -940358628186307/64) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 b 1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 a (+.f64 (.f64 z b) t)))))
(if (<=.f64 b 1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 b (.f64 z a))))
(if (<=.f64 x -11359356546424513292503930648689229908934656) (+.f64 (.f64 y z) x) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 (.f64 (.f64 z a) b) (.f64 z y)) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (*.f64 y z) x))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 (.f64 y z) x) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 1617529353065987/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 5752824181523631/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 x 1817298310153157/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (.f64 y z) x)))))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 (.f64 y z) x) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (.f64 y z) x))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 (.f64 y z) x) (if (<=.f64 x -630036821803051/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 x -99142461582353/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (+.f64 (.f64 y z) x) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 7373771826992607/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (*.f64 y z) x)))))))
(if (<=.f64 t -3594872416213187/22300745198530623141535718272648361505980416) (+.f64 (.f64 a t) x) (if (<=.f64 t 1069292903274373/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (+.f64 (.f64 y z) x) (if (<=.f64 t 7545999896816969/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 3586687590685381/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 y z) x) (+.f64 (.f64 a t) x)))))
(if (<=.f64 t -3594872416213187/22300745198530623141535718272648361505980416) (+.f64 (.f64 a t) x) (if (<=.f64 t 3586687590685381/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 y z) x) (+.f64 (*.f64 a t) x)))
(if (<=.f64 z -9000000000000000009230046625838093952489032098274002726230823463216416080205657041946506445895471199212081220836475439155733692547420118917750768795648) (.f64 z (.f64 a b)) (if (<=.f64 z -110000000000) (.f64 z y) (if (<=.f64 z 999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920) (+.f64 (.f64 a t) x) (*.f64 z y))))
(if (<=.f64 x -32980039135765709581335908040923902659271835805021912453435747442693665337778153229123584) x (if (<=.f64 x -520997997575091/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 z y) (if (<=.f64 x 5752824181523631/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 a t) (if (<=.f64 x 1817298310153157/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 z y) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (.f64 a t) x)))))
(if (<=.f64 x -99142461582353/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) x (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (*.f64 a t) x))
x

Outputs
(if (<=.f64 a -9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(if (<=.f64 a -9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320) (fma.f64 y z (fma.f64 a (fma.f64 z b t) x)) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) -inf.0) (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)))
(if (<=.f64 (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z))) -inf.0) (.f64 z (+.f64 y (.f64 a b))) (+.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 y z))) (.f64 b (.f64 a z))))
(if (<=.f64 b -940358628186307/64) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 b 1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 a (+.f64 (.f64 z b) t)))))
(if (<=.f64 b -940358628186307/64) (+.f64 x (.f64 a (+.f64 t (.f64 z b)))) (if (<=.f64 b 1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (+.f64 (+.f64 x (.f64 a t)) (.f64 y z)) (+.f64 x (.f64 a (+.f64 t (.f64 z b))))))
(if (<=.f64 b 1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (+.f64 (.f64 y z) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 b (.f64 z a))))
(if (<=.f64 b 1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (+.f64 (+.f64 x (.f64 a t)) (.f64 y z)) (+.f64 x (.f64 b (.f64 a z))))
(if (<=.f64 x -11359356546424513292503930648689229908934656) (+.f64 (.f64 y z) x) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 (.f64 (.f64 z a) b) (.f64 z y)) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (*.f64 y z) x))))))
(if (<=.f64 x -11359356546424513292503930648689229908934656) (+.f64 x (.f64 y z)) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 (.f64 b (.f64 a z)) (.f64 y z)) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 a z))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 a t) (.f64 y z)) (+.f64 x (*.f64 y z)))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 (.f64 y z) x) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 1617529353065987/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 5752824181523631/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 (+.f64 t (.f64 b z)) a) (if (<=.f64 x 1817298310153157/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 z (+.f64 (.f64 a b) y)) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (.f64 y z) x)))))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 x (.f64 y z)) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 x (.f64 b (.f64 a z))) (if (<=.f64 x 1617529353065987/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 x 5752824181523631/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 a (+.f64 t (.f64 z b))) (if (<=.f64 x 1817298310153157/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 z (+.f64 y (.f64 a b))) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 a z))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 a t) (.f64 y z)) (+.f64 x (.f64 y z))))))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 (.f64 y z) x) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 z a))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (.f64 y z) x))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 x (.f64 y z)) (if (<=.f64 x -8785061882568793/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 x (.f64 b (.f64 a z))) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 x 3392735211370891/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (+.f64 x (.f64 b (.f64 a z))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 a t) (.f64 y z)) (+.f64 x (.f64 y z)))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 (.f64 y z) x) (if (<=.f64 x -630036821803051/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 x -99142461582353/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (+.f64 (.f64 y z) x) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y z) (.f64 a t)) (if (<=.f64 x 7373771826992607/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 y z) (.f64 a t)) (+.f64 (*.f64 y z) x)))))))
(if (<=.f64 x -2920963145993839/38685626227668133590597632) (+.f64 x (.f64 y z)) (if (<=.f64 x -630036821803051/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (+.f64 x (.f64 a (.f64 z b))) (if (<=.f64 x -99142461582353/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (+.f64 x (.f64 y z)) (if (<=.f64 x 2079960221446811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 a t) (.f64 y z)) (if (<=.f64 x 7373771826992607/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (+.f64 x (.f64 a (.f64 z b))) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (+.f64 (.f64 a t) (.f64 y z)) (+.f64 x (*.f64 y z))))))))
(if (<=.f64 t -3594872416213187/22300745198530623141535718272648361505980416) (+.f64 (.f64 a t) x) (if (<=.f64 t 1069292903274373/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (+.f64 (.f64 y z) x) (if (<=.f64 t 7545999896816969/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 3586687590685381/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 y z) x) (+.f64 (.f64 a t) x)))))
(if (<=.f64 t -3594872416213187/22300745198530623141535718272648361505980416) (+.f64 x (.f64 a t)) (if (<=.f64 t 1069292903274373/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (+.f64 x (.f64 y z)) (if (<=.f64 t 7545999896816969/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (+.f64 x (.f64 a (.f64 z b))) (if (<=.f64 t 3586687590685381/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 x (.f64 y z)) (+.f64 x (.f64 a t))))))
(if (<=.f64 t -3594872416213187/22300745198530623141535718272648361505980416) (+.f64 (.f64 a t) x) (if (<=.f64 t 3586687590685381/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 y z) x) (+.f64 (*.f64 a t) x)))
(if (<=.f64 t -3594872416213187/22300745198530623141535718272648361505980416) (+.f64 x (.f64 a t)) (if (<=.f64 t 3586687590685381/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 x (.f64 y z)) (+.f64 x (*.f64 a t))))
(if (<=.f64 z -9000000000000000009230046625838093952489032098274002726230823463216416080205657041946506445895471199212081220836475439155733692547420118917750768795648) (.f64 z (.f64 a b)) (if (<=.f64 z -110000000000) (.f64 z y) (if (<=.f64 z 999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920) (+.f64 (.f64 a t) x) (*.f64 z y))))
(if (<=.f64 z -9000000000000000009230046625838093952489032098274002726230823463216416080205657041946506445895471199212081220836475439155733692547420118917750768795648) (.f64 z (.f64 a b)) (if (<=.f64 z -110000000000) (.f64 y z) (if (<=.f64 z 999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920) (+.f64 x (.f64 a t)) (*.f64 y z))))
(if (<=.f64 x -32980039135765709581335908040923902659271835805021912453435747442693665337778153229123584) x (if (<=.f64 x -520997997575091/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 z y) (if (<=.f64 x 5752824181523631/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 a t) (if (<=.f64 x 1817298310153157/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 z y) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (.f64 a t) x)))))
(if (<=.f64 x -32980039135765709581335908040923902659271835805021912453435747442693665337778153229123584) x (if (<=.f64 x -520997997575091/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 y z) (if (<=.f64 x 5752824181523631/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 a t) (if (<=.f64 x 1817298310153157/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 y z) (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (.f64 a t) x)))))
(if (<=.f64 x -99142461582353/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) x (if (<=.f64 x 2772879766392633979406594918028684662571840957031782773948416) (*.f64 a t) x))
x

Compiler

Compiled 626 to 308 computations (50.8% saved)

soundness150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 232 to 140 computations (39.7% saved)

end298.0ms (2.1%)

Compiler: Compiled 548 to 166 computations (69.7% saved)