Details

analyze537.0ms (4.4%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

sample2.8s (23.1%)

Results

1.8s	8256×	body	256	valid
985.0ms	4002×	body	256	invalid

preprocess118.0ms (1%)

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)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.5b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
▶	1.5b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize65.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
✓	5.4b	(.f64 (.f64 a z) b)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series26.0ms (0.2%)

Counts

2 → 96

Calls

24 calls:

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

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log-prod_binary64`
611×	`fma-def_binary64`
281×	`fma-neg_binary64`
270×	`pow1/3_binary64`
264×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	279	16
2	3955	16

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

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

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	719
1	34	719
2	49	719
3	51	719

Stop Event

1×

saturated

Counts

212 → 130

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
✓	1.4b	(fma.f64 a (fma.f64 z b t) x)

Compiler

Compiled 33 to 9 computations (72.7% saved)

series32.0ms (0.3%)

Counts

2 → 132

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
3.0ms	a	@	0	(fma.f64 a (fma.f64 z b t) x)
1.0ms	b	@	-inf	(fma.f64 a (fma.f64 z b t) x)
1.0ms	z	@	inf	(fma.f64 a (fma.f64 z b t) x)
1.0ms	b	@	inf	(fma.f64 a (fma.f64 z b t) x)

rewrite130.0ms (1.1%)

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))))))))

simplify220.0ms (1.8%)

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)
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(+.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))

eval95.0ms (0.8%)

Compiler: Compiled 3676 to 849 computations (76.9% saved)

prune62.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	204	11	215
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	206	11	217

Error

Counts

217 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	9.0b	(fma.f64 t a (fma.f64 z y x))
	16.0b	(+.f64 x (.f64 a (+.f64 (.f64 z b) t)))
▶	32.0b	(+.f64 x (.f64 (.f64 a z) b))
	9.0b	(+.f64 (.f64 y z) (+.f64 (.f64 a t) x))
▶	39.4b	(.f64 a (+.f64 (.f64 z b) t))
	24.2b	(+.f64 (*.f64 y z) x)
▶	40.2b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	41.2b	(+.f64 (.f64 z y) (.f64 (*.f64 a z) b))
	40.8b	(.f64 z (+.f64 (.f64 a b) y))
▶	3.5b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
▶	47.8b	(*.f64 z y)

Compiler

Compiled 302 to 204 computations (32.5% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (*.f64 a t) x))
✓	0.0b	(+.f64 (*.f64 a b) y)
✓	3.3b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 48 to 12 computations (75% saved)

series18.0ms (0.1%)

Counts

3 → 99

Calls

39 calls:

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

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	296	26
2	4496	26

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

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

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simplify298.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1338×	`fma-neg_binary64`
834×	`fma-def_binary64`
180×	`distribute-rgt-in_binary64`
167×	`cancel-sign-sub-inv_binary64`
129×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	875
1	154	872
2	311	872
3	567	872
4	1343	872
5	2484	872
6	3350	872
7	4046	872
8	4070	872
9	4070	872
10	4272	872
11	4272	872

Stop Event

1×

saturated

Counts

222 → 158

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

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

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 z b) t)
✓	1.5b	(.f64 a (+.f64 (.f64 z b) t))

Compiler

Compiled 25 to 9 computations (64% saved)

series12.0ms (0.1%)

Counts

2 → 71

Calls

21 calls:

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

rewrite67.0ms (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 a (+.f64 (.f64 z b) t))
(+.f64 (*.f64 z b) t)

Outputs

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

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

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	551
1	31	445
2	43	445
3	45	445

Stop Event

1×

saturated

Counts

132 → 75

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 a z) b))
	5.4b	(.f64 (.f64 a z) b)

Compiler

Compiled 25 to 9 computations (64% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

84 → 43

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a t) (.f64 (*.f64 a z) b))
	5.4b	(.f64 (.f64 a z) b)

Compiler

Compiled 30 to 10 computations (66.7% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite67.0ms (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))))))

simplify42.0ms (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))

eval89.0ms (0.7%)

Compiler: Compiled 6107 to 1632 computations (73.3% saved)

prune144.0ms (1.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	405	9	414
Fresh	3	3	6
Picked	1	0	1
Done	2	2	4
Total	411	14	425

Error

Counts

425 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
	9.0b	(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))
	55.1b	(.f64 a (.f64 z b))
▶	31.6b	(+.f64 (.f64 a (.f64 z b)) x)
	39.1b	x
▶	9.0b	(fma.f64 t a (fma.f64 z y x))
✓	39.4b	(.f64 a (+.f64 (.f64 z b) t))
	40.8b	(.f64 z (+.f64 (.f64 a b) y))
▶	24.2b	(+.f64 (*.f64 y z) x)
	24.0b	(+.f64 (*.f64 a t) x)
▶	55.2b	(.f64 b (.f64 z a))
	41.2b	(+.f64 (.f64 z y) (.f64 (*.f64 a z) b))
▶	47.4b	(*.f64 t a)
✓	47.8b	(*.f64 z y)

Compiler

Compiled 303 to 212 computations (30% saved)

localize14.0ms (0.1%)

Compiler: Compiled 22 to 8 computations (63.6% saved)

localize13.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(.f64 b (.f64 z a))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

47 → 13

Calls

Call 1

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

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 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))

localize14.0ms (0.1%)

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 9 computations (64% saved)

series12.0ms (0.1%)

Counts

2 → 51

Calls

21 calls:

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

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

98 → 53

Calls

Call 1

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

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

eval25.0ms (0.2%)

Compiler: Compiled 769 to 238 computations (69.1% saved)

prune42.0ms (0.3%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	7	7
Picked	0	1	1
Done	0	6	6
Total	66	14	80

Error

Counts

80 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
▶	9.0b	(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))
▶	55.1b	(.f64 a (.f64 z b))
✓	31.6b	(+.f64 (.f64 a (.f64 z b)) x)
	39.1b	x
✓	9.0b	(fma.f64 t a (fma.f64 z y x))
✓	39.4b	(.f64 a (+.f64 (.f64 z b) t))
▶	40.8b	(.f64 z (+.f64 (.f64 a b) y))
✓	24.2b	(+.f64 (*.f64 y z) x)
▶	24.0b	(+.f64 (*.f64 a t) x)
✓	55.2b	(.f64 b (.f64 z a))
	41.2b	(+.f64 (.f64 z y) (.f64 (*.f64 a z) b))
✓	47.4b	(*.f64 t a)
✓	47.8b	(*.f64 z y)

Compiler

Compiled 246 to 172 computations (30.1% saved)

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 10 computations (67.7% saved)

series8.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

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

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

153 → 104

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	3.9b	(.f64 a (.f64 z b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize7.0ms (0.1%)

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 a b) y)
	3.3b	(.f64 z (+.f64 (.f64 a b) y))

Compiler

Compiled 25 to 9 computations (64% saved)

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 10 computations (66.7% saved)

series13.0ms (0.1%)

Counts

2 → 51

Calls

21 calls:

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

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
437×	`fma-def_binary64`
414×	`pow-prod-down_binary64`
389×	`exp-prod_binary64`
263×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	192	15
2	2653	15

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	375
1	59	375
2	151	375
3	324	375
4	661	375
5	930	375
6	1050	375
7	1101	375

Stop Event

1×

saturated

Counts

162 → 120

Calls

Call 1

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

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

eval204.0ms (1.7%)

Compiler: Compiled 4199 to 1213 computations (71.1% saved)

prune217.0ms (1.8%)

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	313	3	316
Fresh	0	2	2
Picked	0	1	1
Done	1	10	11
Total	314	16	330

Error

Counts

330 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.2b	(+.f64 (*.f64 y z) x)
	9.0b	(fma.f64 t a (+.f64 x (*.f64 z y)))
✓	39.4b	(+.f64 (.f64 a (.f64 b z)) (*.f64 a t))
✓	9.0b	(+.f64 (.f64 z y) (+.f64 (.f64 a t) x))
	32.7b	(+.f64 (.f64 y z) (.f64 a t))
	55.4b	(.f64 z (.f64 a b))
✓	55.1b	(.f64 a (.f64 z b))
✓	31.6b	(+.f64 (.f64 a (.f64 z b)) x)
	39.1b	x
✓	39.4b	(.f64 a (+.f64 (.f64 z b) t))
✓	40.8b	(.f64 z (+.f64 (.f64 a b) y))
✓	24.0b	(+.f64 (*.f64 a t) x)
✓	55.2b	(.f64 b (.f64 z a))
	41.2b	(+.f64 (.f64 z y) (.f64 (*.f64 a z) b))
✓	47.4b	(*.f64 t a)
✓	47.8b	(*.f64 z y)

Compiler

Compiled 191 to 135 computations (29.3% saved)

regimes159.0ms (1.3%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

7 calls:

35.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
28.0ms	a
25.0ms	b
24.0ms	z
15.0ms	t

Results

Error	Segments	Branch
1.5b	1	`x`
1.5b	1	`y`
0.3b	2	`z`
1.5b	1	`t`
0.5b	2	`a`
0.3b	2	`b`
0.0b	3	`(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))`

Compiler

Compiled 250 to 95 computations (62% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.6275162041060273e+301	6.4575151306244e+301
0.0ms	-inf	-2.2424035289748802e+306

Compiler

Compiled 30 to 21 computations (30% saved)

regimes477.0ms (3.9%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

6 calls:

210.0ms	b
143.0ms	x
63.0ms	z
30.0ms	a
14.0ms	y

Results

Error	Segments	Branch
3.5b	1	`x`
3.5b	1	`y`
1.8b	3	`z`
3.5b	1	`t`
0.3b	3	`a`
2.5b	2	`b`

Compiler

Compiled 189 to 72 computations (61.9% saved)

bsearch14.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	1.4551304442999765e+112	1.627052812582156e+116
6.0ms	-8.27715492911162e+164	-1.6872814021791544e+164

Compiler

Compiled 102 to 69 computations (32.4% saved)

regimes359.0ms (2.9%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

6 calls:

189.0ms	t
64.0ms	a
31.0ms	y
30.0ms	x
28.0ms	b

Results

Error	Segments	Branch
7.6b	3	`x`
3.8b	3	`y`
9.0b	1	`z`
6.0b	5	`t`
3.9b	3	`a`
7.3b	3	`b`

Compiler

Compiled 176 to 71 computations (59.7% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.9657532737545913e-45	3.6052229621304784e-40
26.0ms	-1.595379899593193e-85	-2.7457614216717383e-88

Compiler

Compiled 30 to 21 computations (30% saved)

regimes304.0ms (2.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

6 calls:

167.0ms	t
55.0ms	b
47.0ms	x
11.0ms	a
10.0ms	y

Results

Error	Segments	Branch
7.6b	3	`x`
9.0b	1	`y`
9.0b	1	`z`
7.6b	3	`t`
9.0b	1	`a`
7.8b	3	`b`

Compiler

Compiled 140 to 67 computations (52.1% saved)

bsearch174.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	-3.7808494186474514e-123	-4.536671630588221e-129
25.0ms	-5.580124078163847e-89	-7.528238569760025e-91

Compiler

Compiled 30 to 21 computations (30% saved)

regimes804.0ms (6.6%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

6 calls:

237.0ms	x
191.0ms	z
177.0ms	a
92.0ms	b
78.0ms	t

Results

Error	Segments	Branch
14.3b	5	`x`
16.0b	3	`y`
15.5b	7	`z`
13.8b	7	`t`
12.8b	4	`a`
16.1b	8	`b`

Compiler

Compiled 131 to 66 computations (49.6% saved)

bsearch243.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
24.0ms	3.2383649495842186e-7	0.013631977282342297
0.0ms	-3.224359295112032e-72	-3.212912636228459e-72
218.0ms	-8.79189912032157e+139	-1.5765626785517606e+136

Compiler

Compiled 254 to 181 computations (28.7% saved)

regimes600.0ms (4.9%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

6 calls:

207.0ms	t
185.0ms	b
85.0ms	a
52.0ms	z
44.0ms	x

Results

Error	Segments	Branch
14.3b	5	`x`
16.0b	3	`y`
15.5b	7	`z`
13.8b	7	`t`
12.8b	4	`a`
16.1b	8	`b`

Compiler

Compiled 122 to 63 computations (48.4% saved)

bsearch77.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
23.0ms	3.2383649495842186e-7	0.013631977282342297
0.0ms	-3.224359295112032e-72	-3.212912636228459e-72
54.0ms	-8.79189912032157e+139	-1.5765626785517606e+136

Compiler

Compiled 238 to 173 computations (27.3% saved)

regimes227.0ms (1.9%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

6 calls:

55.0ms	b
50.0ms	t
46.0ms	z
30.0ms	x
21.0ms	y

Results

Error	Segments	Branch
15.8b	3	`x`
16.0b	3	`y`
15.5b	7	`z`
13.8b	7	`t`
14.3b	3	`a`
16.1b	8	`b`

Compiler

Compiled 108 to 61 computations (43.5% saved)

bsearch466.0ms (3.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
188.0ms	2.900739600848985e+67	1.6801270635209753e+68
35.0ms	1.051598008603978e+46	3.0339384774222934e+48
157.0ms	2.7047987233419005e-77	8.310017213585537e-76
31.0ms	2.5822304866025677e-252	2.9319966539117377e-243
28.0ms	-3.7808494186474514e-123	-4.536671630588221e-129
26.0ms	-2.1446390481893005e-88	-5.580124078163847e-89

Compiler

Compiled 174 to 129 computations (25.9% saved)

regimes161.0ms (1.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

6 calls:

42.0ms	b
39.0ms	t
23.0ms	z
18.0ms	x
17.0ms	y

Results

Error	Segments	Branch
15.8b	3	`x`
16.0b	3	`y`
17.9b	3	`z`
16.2b	5	`t`
14.3b	3	`a`
18.4b	6	`b`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.01789350867250985	0.026702592401067697
0.0ms	-3.224359295112032e-72	-3.212912636228459e-72

Compiler

Compiled 30 to 21 computations (30% saved)

regimes95.0ms (0.8%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

6 calls:

42.0ms	t
16.0ms	a
12.0ms	y
11.0ms	z
6.0ms	b

Results

Error	Segments	Branch
24.0b	1	`x`
22.8b	2	`y`
22.7b	2	`z`
19.2b	7	`t`
22.9b	3	`a`
24.0b	1	`b`

Compiler

Compiled 75 to 52 computations (30.7% saved)

bsearch148.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	-4.700685452119529e-276	-2.7060688785212982e-278
24.0ms	-1.6046660222089858e-232	-3.153113629174148e-249
25.0ms	-8.304738556304417e-225	-2.2545885313895794e-225
24.0ms	-4.516480278219063e-130	-4.515361489728631e-131
25.0ms	-1.420602729750542e-119	-1.2681034649696654e-119
25.0ms	-2.1446390481893005e-88	-5.580124078163847e-89

Compiler

Compiled 30 to 21 computations (30% saved)

regimes167.0ms (1.4%)

Counts

5 → 9

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	z
40.0ms	t
24.0ms	y
23.0ms	a
21.0ms	b

Results

Error	Segments	Branch
30.7b	3	`x`
34.0b	5	`y`
30.4b	10	`z`
30.1b	9	`t`
33.3b	5	`a`
34.7b	5	`b`

Compiler

Compiled 65 to 48 computations (26.2% saved)

bsearch252.0ms (2.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
23.0ms	1.977463497887206e+65	3.513672410739009e+66
23.0ms	-4.700685452119529e-276	-2.7060688785212982e-278
23.0ms	-1.6046660222089858e-232	-3.153113629174148e-249
23.0ms	-8.304738556304417e-225	-2.2545885313895794e-225
23.0ms	-4.516480278219063e-130	-4.515361489728631e-131
24.0ms	-1.420602729750542e-119	-1.2681034649696654e-119
24.0ms	-2.1446390481893005e-88	-5.580124078163847e-89
87.0ms	-2.4141389432023515e+157	-4.0256806601110645e+142

Compiler

Compiled 210 to 171 computations (18.6% saved)

regimes151.0ms (1.2%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

6 calls:

40.0ms	t
39.0ms	z
22.0ms	y
20.0ms	a
17.0ms	b

Results

Error	Segments	Branch
30.7b	3	`x`
34.0b	5	`y`
30.4b	10	`z`
30.3b	9	`t`
33.3b	5	`a`
34.7b	5	`b`

Compiler

Compiled 60 to 46 computations (23.3% saved)

bsearch251.0ms (2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
22.0ms	1.977463497887206e+65	3.513672410739009e+66
24.0ms	-4.700685452119529e-276	-2.7060688785212982e-278
23.0ms	-1.6046660222089858e-232	-3.153113629174148e-249
23.0ms	-8.304738556304417e-225	-2.2545885313895794e-225
23.0ms	-4.516480278219063e-130	-4.515361489728631e-131
23.0ms	-9.503456403107622e-119	-1.420602729750542e-119
23.0ms	-2.1446390481893005e-88	-5.580124078163847e-89
87.0ms	-2.4141389432023515e+157	-4.0256806601110645e+142

Compiler

Compiled 210 to 171 computations (18.6% saved)

regimes124.0ms (1%)

Accuracy

Total -32.2b remaining (-105%)

Threshold costs -32.2b (-105%)

Counts

3 → 3

Calls

Call 1

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

Outputs
x
(*.f64 t a)
x

Calls

6 calls:

27.0ms	z
25.0ms	t
21.0ms	y
20.0ms	a
17.0ms	b

Results

Error	Segments	Branch
30.7b	3	`x`
34.0b	5	`y`
31.6b	8	`z`
31.6b	7	`t`
33.3b	5	`a`
34.7b	5	`b`

Compiler

Compiled 55 to 44 computations (20% saved)

bsearch130.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	7394.129865985777	154699.81893302037
26.0ms	-120.07613596783145	-1.3741290399207573

Compiler

Compiled 30 to 21 computations (30% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	743
1	152	743

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) -inf.0) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (.f64 a t) x)) (if (<=.f64 (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328) (+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b)) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (.f64 a t) x))))
(if (<=.f64 a -499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (if (<=.f64 a 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400) (+.f64 (.f64 z (+.f64 (.f64 a b) y)) (+.f64 (.f64 a t) x)) (+.f64 x (.f64 a (+.f64 (*.f64 z b) t)))))
(if (<=.f64 y -174474792084473/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x)) (if (<=.f64 y 6317687442445821/3213876088517980551083924184682325205044405987565585670602752) (+.f64 x (.f64 a (+.f64 (.f64 z b) t))) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x))))
(if (<=.f64 t -7998754281451035/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x)) (if (<=.f64 t -5628042789280769/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 (.f64 a (.f64 z b)) x) (+.f64 (.f64 z y) (+.f64 (.f64 a t) x))))
(if (<=.f64 a -85999999999999996213814686169137653273730000379216207530012125015440049746807814872726200780871099238927553014298880983851649944308605255680) (+.f64 (.f64 a (.f64 b z)) (.f64 a t)) (if (<=.f64 a -1601380821239513/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (.f64 a t) x) (if (<=.f64 a 6117098438886545/18889465931478580854784) (+.f64 (.f64 y z) x) (.f64 a (+.f64 (*.f64 z b) t)))))
(if (<=.f64 a -85999999999999996213814686169137653273730000379216207530012125015440049746807814872726200780871099238927553014298880983851649944308605255680) (.f64 a (+.f64 (.f64 z b) t)) (if (<=.f64 a -1601380821239513/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (.f64 a t) x) (if (<=.f64 a 6117098438886545/18889465931478580854784) (+.f64 (.f64 y z) x) (.f64 a (+.f64 (.f64 z b) t)))))
(if (<=.f64 t -3842755225640957/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 (.f64 a t) x) (if (<=.f64 t -5628042789280769/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 5328821266421579/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) (+.f64 (.f64 y z) x) (if (<=.f64 t 7052508554484531/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (+.f64 (.f64 a (.f64 z b)) x) (if (<=.f64 t 10515980086039779415245028090557159190218932224) (+.f64 (.f64 a t) x) (if (<=.f64 t 165000000000000002389589872540518431076462857902243725043385162006528) (+.f64 (.f64 y z) x) (+.f64 (*.f64 a t) x)))))))
(if (<=.f64 a -1601380821239513/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (.f64 a t) x) (if (<=.f64 a 2578726367675715/144115188075855872) (+.f64 (.f64 y z) x) (+.f64 (*.f64 a t) x)))
(if (<=.f64 t -3842755225640957/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 (.f64 a t) x) (if (<=.f64 t -645343172389213/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (.f64 a (.f64 z b)) (if (<=.f64 t -1409931576106113/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (.f64 a t) x) (if (<=.f64 t -6922014569341457/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (.f64 z y) (if (<=.f64 t -1121969629670033/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) x (if (<=.f64 t -5863635942364747/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (.f64 z y) (+.f64 (*.f64 a t) x)))))))
(if (<=.f64 t -23999999999999999600620325356601321149448934600419292872808182747051242020024301308755469046702529802029697320264714521620828176355949769603172248887826055168) (.f64 t a) (if (<=.f64 t -3842755225640957/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) x (if (<=.f64 t -645343172389213/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (.f64 a (.f64 z b)) (if (<=.f64 t -1409931576106113/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) x (if (<=.f64 t -6922014569341457/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (.f64 z y) (if (<=.f64 t -1121969629670033/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) x (if (<=.f64 t -5863635942364747/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (.f64 z y) (if (<=.f64 t 197746349788720608148592461259644390743732922078749964425888792576) x (.f64 t a)))))))))
(if (<=.f64 t -23999999999999999600620325356601321149448934600419292872808182747051242020024301308755469046702529802029697320264714521620828176355949769603172248887826055168) (.f64 t a) (if (<=.f64 t -3842755225640957/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) x (if (<=.f64 t -2158587540135519/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (.f64 z (.f64 a b)) (if (<=.f64 t -1409931576106113/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) x (if (<=.f64 t -6922014569341457/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (.f64 z y) (if (<=.f64 t -1121969629670033/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) x (if (<=.f64 t -5863635942364747/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (.f64 z y) (if (<=.f64 t 197746349788720608148592461259644390743732922078749964425888792576) x (.f64 t a)))))))))
(if (<=.f64 x -4224803446881365/35184372088832) x (if (<=.f64 x 4064965882468579/549755813888) (*.f64 t a) x))
x

Outputs
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(if (<=.f64 x -4224803446881365/35184372088832) x (if (<=.f64 x 4064965882468579/549755813888) (*.f64 t a) x))
x

Compiler

Compiled 593 to 294 computations (50.4% saved)

soundness49.0ms (0.4%)

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)

end166.0ms (1.4%)

Compiler: Compiled 521 to 165 computations (68.3% saved)