Details

analyze607.0ms (8.6%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample2.5s (35.4%)

Results

1.7s	8256×	body	256	valid
787.0ms	4135×	body	256	infinite

Bogosity

preprocess27.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

135×	`fma-def_binary64`
40×	`+-commutative_binary64`
24×	`associate-+l+_binary64`
15×	`*-commutative_binary64`
15×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	224
1	144	192
2	267	192
3	301	192
0	6	6
1	6	6

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
0
2
3
2
4
5
4

Call 2

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

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	20	12
2	36	12
3	46	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 26 to 13 computations (50% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
▶	0.0b	(fma.f64 x y (fma.f64 a b (*.f64 z t)))

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 11 computations (71.8% saved)

series14.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`fma-def_binary64`
681×	`log-prod_binary64`
358×	`pow2_binary64`
338×	`fma-neg_binary64`
245×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	258	20
2	3659	20

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

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

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

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	1080
1	26	1080
2	39	1080
3	43	1080

Stop Event

1×

saturated

Counts

303 → 194

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series11.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
847×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	196	20
2	2332	20

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	1080
1	26	1080
2	39	1080
3	43	1080

Stop Event

1×

saturated

Counts

163 → 54

Calls

Call 1

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

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

eval51.0ms (0.7%)

Compiler: Compiled 3911 to 957 computations (75.5% saved)

prune57.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	239	9	248
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	240	10	250

Error

Counts

250 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.1b	(+.f64 (.f64 y x) (.f64 a b))
▶	0.0b	(fma.f64 z t (fma.f64 x y (*.f64 a b)))
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
	20.8b	(+.f64 (.f64 t z) (.f64 a b))
	43.4b	(*.f64 t z)
▶	20.1b	(fma.f64 y x (*.f64 a b))
▶	40.4b	(*.f64 a b)
	22.9b	(+.f64 (.f64 y x) (.f64 t z))
▶	42.2b	(*.f64 y x)
	0.0b	(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))

Compiler

Compiled 235 to 161 computations (31.5% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (*.f64 a b))

Compiler

Compiled 30 to 9 computations (70% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

69 → 25

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

85 → 40

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 a b))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series5.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

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

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

eval18.0ms (0.3%)

Compiler: Compiled 1135 to 309 computations (72.8% saved)

prune22.0ms (0.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	3	4
Picked	0	1	1
Done	1	4	5
Total	89	10	99

Error

Counts

99 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.1b	(fma.f64 y x (*.f64 a b))
▶	20.8b	(fma.f64 z t (*.f64 a b))
✓	20.1b	(+.f64 (.f64 y x) (.f64 a b))
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
▶	20.8b	(+.f64 (.f64 t z) (.f64 a b))
▶	22.9b	(fma.f64 z t (*.f64 y x))
▶	43.4b	(*.f64 t z)
✓	40.4b	(*.f64 a b)
▶	22.9b	(+.f64 (.f64 y x) (.f64 t z))
✓	42.2b	(*.f64 y x)

Compiler

Compiled 178 to 124 computations (30.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 8 computations (57.9% saved)

series5.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

69 → 25

Calls

Call 1

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

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

localize11.0ms (0.2%)

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

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series10.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

85 → 40

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

12 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	48
1	9	48

Stop Event

1×

saturated

Counts

49 → 39

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

eval20.0ms (0.3%)

Compiler: Compiled 1350 to 396 computations (70.7% saved)

prune24.0ms (0.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	104	10	114

Error

Counts

114 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.1b	(fma.f64 y x (*.f64 a b))
✓	20.8b	(fma.f64 z t (*.f64 a b))
✓	20.1b	(+.f64 (.f64 y x) (.f64 a b))
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
✓	20.8b	(+.f64 (.f64 t z) (.f64 a b))
✓	22.9b	(fma.f64 z t (*.f64 y x))
✓	43.4b	(*.f64 t z)
✓	40.4b	(*.f64 a b)
✓	22.9b	(+.f64 (.f64 y x) (.f64 t z))
✓	42.2b	(*.f64 y x)

Compiler

Compiled 119 to 83 computations (30.3% saved)

regimes226.0ms (3.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

14 calls:

18.0ms	(+.f64 (.f64 x y) (.f64 z t))
18.0ms	(+.f64 (.f64 x y) (.f64 z t))
17.0ms	x
17.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
17.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 223 to 125 computations (43.9% saved)

regimes201.0ms (2.9%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

13 calls:

16.0ms	(+.f64 (.f64 x y) (.f64 z t))
16.0ms	a
15.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
15.0ms	z
15.0ms	(+.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 196 to 114 computations (41.8% saved)

regimes163.0ms (2.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

11 calls:

18.0ms	b
15.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
14.0ms	a
14.0ms	t
14.0ms	(+.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 164 to 96 computations (41.5% saved)

regimes401.0ms (5.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

7 calls:

92.0ms	x
69.0ms	y
57.0ms	z
57.0ms	b
48.0ms	t

Results

Error	Segments	Branch
8.2b	7	`x`
9.5b	5	`y`
9.5b	6	`z`
9.1b	4	`t`
8.9b	4	`a`
9.1b	6	`b`
7.6b	3	`(*.f64 a b)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch79.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.760804751392109e-42	2.3505536286885863e-35
39.0ms	-3655369533477786.5	-476433042501959.4

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes325.0ms (4.6%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

7 calls:

96.0ms	b
44.0ms	t
44.0ms	a
37.0ms	y
35.0ms	z

Results

Error	Segments	Branch
10.5b	3	`x`
11.7b	3	`y`
11.1b	3	`z`
9.8b	5	`t`
15.2b	5	`a`
10.6b	11	`b`
16.2b	4	`(*.f64 a b)`

Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch284.0ms (4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
77.0ms	2.2330955079196827e+225	1.2638828610677192e+231
126.0ms	2.4081493662706066e+189	1.9853062121201582e+195
40.0ms	8.385577096170122e-56	5.891836169070741e-52
40.0ms	-1.3457258737983367e-109	-1.377590954331081e-112

Compiler

Compiled 530 to 379 computations (28.5% saved)

regimes244.0ms (3.5%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

7 calls:

57.0ms	(*.f64 a b)
42.0ms	y
41.0ms	t
27.0ms	b
25.0ms	a

Results

Error	Segments	Branch
18.7b	3	`x`
17.9b	5	`y`
16.4b	3	`z`
13.8b	5	`t`
18.7b	3	`a`
18.9b	3	`b`
16.1b	7	`(*.f64 a b)`

Compiler

Compiled 73 to 53 computations (27.4% saved)

bsearch246.0ms (3.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
70.0ms	2.2330955079196827e+225	1.2638828610677192e+231
79.0ms	5.051734976422924e+174	2.547311103605517e+175
56.0ms	1.759090861189369e+86	2.137837739822182e+86
41.0ms	-5.718962599885292e-46	-2.2016926674544535e-51

Compiler

Compiled 458 to 343 computations (25.1% saved)

regimes295.0ms (4.2%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

7 calls:

75.0ms	b
50.0ms	a
47.0ms	t
45.0ms	z
40.0ms	(*.f64 a b)

Results

Error	Segments	Branch
27.9b	6	`x`
32.5b	4	`y`
26.1b	13	`z`
26.6b	9	`t`
27.6b	6	`a`
26.0b	11	`b`
24.5b	6	`(*.f64 a b)`

Compiler

Compiled 66 to 52 computations (21.2% saved)

bsearch108.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	0.027713940983546258	1.9686849452238466
21.0ms	3.0857381932457447e-211	8.546555281559551e-210
21.0ms	-0.0	7.502108905748574e-308
21.0ms	-5.863064413199493e-74	-4.840921048894808e-93
21.0ms	-1.0343818289721886e+40	-1.0921438286591756e+38

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes96.0ms (1.4%)

Accuracy

Total -33.3b remaining (-115.8%)

Threshold costs -33.3b (-115.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	x
15.0ms	t
14.0ms	y
14.0ms	z
12.0ms	b

Results

Error	Segments	Branch
36.2b	5	`x`
36.4b	4	`y`
32.6b	5	`z`
29.9b	5	`t`
31.0b	3	`a`
34.3b	3	`b`
28.8b	3	`(*.f64 a b)`

Compiler

Compiled 63 to 51 computations (19% saved)

bsearch52.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.3505536286885863e-35	7.877114547989497e-32
30.0ms	-1.0343818289721886e+40	-1.0921438286591756e+38

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	323
1	77	323

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 (.f64 a b) -7310739066955573/2) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 1381593820080065/784637716923335095479473677900958302012794430558004314112) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 y x) (.f64 a b))))
(if (<=.f64 t -5693440775871125/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 t 4630010087137821/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 t 2450000000000000118410674059885918810003733905798460733587720491782323343230435360945422678959446157300517109634494754181085872281217724929687531382489343446881015782517549318611161378193408) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 t 1250000000000000070594263775651051768550782977478822968375706455194320704959472746486524701986824978724710211684420452620707475805758654846631450182004099724274729925380077899773205297603239096149499485381627191590502310870368911360) (+.f64 (.f64 y x) (.f64 a b)) (+.f64 (.f64 t z) (.f64 a b))))))
(if (<=.f64 t -7352014860359985/12855504354071922204335696738729300820177623950262342682411008) (.f64 t z) (if (<=.f64 t 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 t 5099999999999999714630371577786791431846718946844138642774696582744205243469055635869145258743735318702125259557046338396434260763015506253167780391040027921705319751854587904) (.f64 t z) (if (<=.f64 t 1250000000000000070594263775651051768550782977478822968375706455194320704959472746486524701986824978724710211684420452620707475805758654846631450182004099724274729925380077899773205297603239096149499485381627191590502310870368911360) (+.f64 (.f64 y x) (.f64 a b)) (*.f64 t z)))))
(if (<=.f64 (.f64 a b) -10343818289721886303039648545439572033536) (.f64 a b) (if (<=.f64 (.f64 a b) -7464545713283631/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 t z) (if (<=.f64 (.f64 a b) 0) (.f64 y x) (if (<=.f64 (.f64 a b) 3654986856931549/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 t z) (if (<=.f64 (.f64 a b) 3993999817166939/144115188075855872) (.f64 y x) (*.f64 a b))))))
(if (<=.f64 (.f64 a b) -10343818289721886303039648545439572033536) (.f64 a b) (if (<=.f64 (.f64 a b) 2198616305255977/93536104789177786765035829293842113257979682750464) (.f64 t z) (*.f64 a b)))
(*.f64 t z)

Outputs
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
(+.f64 (.f64 a b) (fma.f64 z t (.f64 x y)))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 z t) (*.f64 x y)))
(if (<=.f64 (.f64 a b) -7310739066955573/2) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 1381593820080065/784637716923335095479473677900958302012794430558004314112) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 y x) (.f64 a b))))
(if (<=.f64 (.f64 a b) -7310739066955573/2) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 (.f64 a b) 1381593820080065/784637716923335095479473677900958302012794430558004314112) (+.f64 (.f64 z t) (.f64 x y)) (+.f64 (.f64 a b) (.f64 x y))))
(if (<=.f64 t -5693440775871125/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 t 4630010087137821/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 t 2450000000000000118410674059885918810003733905798460733587720491782323343230435360945422678959446157300517109634494754181085872281217724929687531382489343446881015782517549318611161378193408) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 t 1250000000000000070594263775651051768550782977478822968375706455194320704959472746486524701986824978724710211684420452620707475805758654846631450182004099724274729925380077899773205297603239096149499485381627191590502310870368911360) (+.f64 (.f64 y x) (.f64 a b)) (+.f64 (.f64 t z) (.f64 a b))))))
(if (<=.f64 t -5693440775871125/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 t 4630010087137821/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (.f64 a b) (.f64 x y)) (if (<=.f64 t 2450000000000000118410674059885918810003733905798460733587720491782323343230435360945422678959446157300517109634494754181085872281217724929687531382489343446881015782517549318611161378193408) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 t 1250000000000000070594263775651051768550782977478822968375706455194320704959472746486524701986824978724710211684420452620707475805758654846631450182004099724274729925380077899773205297603239096149499485381627191590502310870368911360) (+.f64 (.f64 a b) (.f64 x y)) (+.f64 (.f64 a b) (.f64 z t))))))
(if (<=.f64 t -7352014860359985/12855504354071922204335696738729300820177623950262342682411008) (.f64 t z) (if (<=.f64 t 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 t 5099999999999999714630371577786791431846718946844138642774696582744205243469055635869145258743735318702125259557046338396434260763015506253167780391040027921705319751854587904) (.f64 t z) (if (<=.f64 t 1250000000000000070594263775651051768550782977478822968375706455194320704959472746486524701986824978724710211684420452620707475805758654846631450182004099724274729925380077899773205297603239096149499485381627191590502310870368911360) (+.f64 (.f64 y x) (.f64 a b)) (*.f64 t z)))))
(if (<=.f64 t -7352014860359985/12855504354071922204335696738729300820177623950262342682411008) (.f64 z t) (if (<=.f64 t 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) (+.f64 (.f64 a b) (.f64 x y)) (if (<=.f64 t 5099999999999999714630371577786791431846718946844138642774696582744205243469055635869145258743735318702125259557046338396434260763015506253167780391040027921705319751854587904) (.f64 z t) (if (<=.f64 t 1250000000000000070594263775651051768550782977478822968375706455194320704959472746486524701986824978724710211684420452620707475805758654846631450182004099724274729925380077899773205297603239096149499485381627191590502310870368911360) (+.f64 (.f64 a b) (.f64 x y)) (*.f64 z t)))))
(if (<=.f64 (.f64 a b) -10343818289721886303039648545439572033536) (.f64 a b) (if (<=.f64 (.f64 a b) -7464545713283631/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 t z) (if (<=.f64 (.f64 a b) 0) (.f64 y x) (if (<=.f64 (.f64 a b) 3654986856931549/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 t z) (if (<=.f64 (.f64 a b) 3993999817166939/144115188075855872) (.f64 y x) (*.f64 a b))))))
(if (<=.f64 (.f64 a b) -10343818289721886303039648545439572033536) (.f64 a b) (if (<=.f64 (.f64 a b) -7464545713283631/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 z t) (if (<=.f64 (.f64 a b) 0) (.f64 x y) (if (<=.f64 (.f64 a b) 3654986856931549/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 z t) (if (<=.f64 (.f64 a b) 3993999817166939/144115188075855872) (.f64 x y) (*.f64 a b))))))
(if (<=.f64 (.f64 a b) -10343818289721886303039648545439572033536) (.f64 a b) (if (<=.f64 (.f64 a b) 2198616305255977/93536104789177786765035829293842113257979682750464) (.f64 t z) (*.f64 a b)))
(if (<=.f64 (.f64 a b) -10343818289721886303039648545439572033536) (.f64 a b) (if (<=.f64 (.f64 a b) 2198616305255977/93536104789177786765035829293842113257979682750464) (.f64 z t) (*.f64 a b)))
(*.f64 t z)
(*.f64 z t)

Compiler

Compiled 279 to 138 computations (50.5% saved)

soundness0.0ms (0%)

end128.0ms (1.8%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 321 to 122 computations (62% saved)

Details

analyze607.0ms (8.6%)

sample2.5s (35.4%)

preprocess27.0ms (0.4%)

simplify9.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize14.0ms (0.2%)

series14.0ms (0.2%)

rewrite82.0ms (1.2%)

simplify31.0ms (0.4%)

localize13.0ms (0.2%)

series11.0ms (0.2%)

rewrite62.0ms (0.9%)

simplify29.0ms (0.4%)

eval51.0ms (0.7%)

prune57.0ms (0.8%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite49.0ms (0.7%)

simplify17.0ms (0.2%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite54.0ms (0.8%)

simplify14.0ms (0.2%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite48.0ms (0.7%)

simplify13.0ms (0.2%)

eval18.0ms (0.3%)

prune22.0ms (0.3%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite70.0ms (1%)

simplify27.0ms (0.4%)

localize11.0ms (0.2%)

localize20.0ms (0.3%)

series10.0ms (0.1%)

rewrite79.0ms (1.1%)

simplify24.0ms (0.3%)

localize13.0ms (0.2%)

series4.0ms (0.1%)

rewrite57.0ms (0.8%)

simplify9.0ms (0.1%)

localize8.0ms (0.1%)

eval20.0ms (0.3%)

prune24.0ms (0.3%)

regimes226.0ms (3.2%)

regimes201.0ms (2.9%)

regimes163.0ms (2.3%)

regimes401.0ms (5.7%)

bsearch79.0ms (1.1%)

regimes325.0ms (4.6%)

bsearch284.0ms (4%)

regimes244.0ms (3.5%)

bsearch246.0ms (3.5%)

regimes295.0ms (4.2%)

bsearch108.0ms (1.5%)

regimes96.0ms (1.4%)

bsearch52.0ms (0.7%)

simplify11.0ms (0.2%)

soundness0.0ms (0%)

end128.0ms (1.8%)

Profiling