Details

analyze735.0ms (11.4%)

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)

sample2.2s (33.8%)

Results

1.4s	8256×	body	256	valid
728.0ms	4018×	body	256	infinite

Bogosity

preprocess25.0ms (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)

simplify8.0ms (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)

prune4.0ms (0.1%)

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

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

rewrite95.0ms (1.5%)

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

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

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((#(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)) 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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 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simplify32.0ms (0.5%)

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 (.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)))
(*.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))

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series13.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite76.0ms (1.2%)

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

Outputs
((#(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))))))))
((#(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)))))))))

Outputs

((#(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))))))))

((#(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)))))))))

simplify38.0ms (0.6%)

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 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))
(+.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)))

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

eval98.0ms (1.5%)

Compiler: Compiled 3907 to 955 computations (75.6% saved)

prune108.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	237	11	248
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	239	11	250

Error

Counts

250 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.4b	(*.f64 a b)
	24.4b	(+.f64 (.f64 y x) (.f64 t z))
	24.4b	(fma.f64 y x (*.f64 t z))
▶	42.6b	(*.f64 y x)
	44.0b	(*.f64 t z)
▶	18.7b	(+.f64 (.f64 a b) (.f64 y x))
▶	0.0b	(fma.f64 b a (fma.f64 x y (*.f64 z t)))
▶	20.0b	(fma.f64 a b (*.f64 t z))
	20.0b	(+.f64 (.f64 a b) (.f64 t z))
	0.0b	(fma.f64 z t (fma.f64 x y (*.f64 a b)))
	18.7b	(fma.f64 y x (*.f64 a b))

Compiler

Compiled 264 to 180 computations (31.8% saved)

localize21.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series12.0ms (0.2%)

Counts

1 → 72

Calls

18 calls:

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

rewrite91.0ms (1.4%)

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	12
1	196	12
2	2332	12

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

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	744
1	26	744
2	39	744
3	43	744

Stop Event

1×

saturated

Counts

94 → 33

Calls

Call 1

Inputs
(+.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 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)))

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

localize9.0ms (0.1%)

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

localize11.0ms (0.2%)

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

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

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	a	@	0	(+.f64 (.f64 a b) (.f64 y x))
0.0ms	a	@	inf	(+.f64 (.f64 a b) (.f64 y x))
0.0ms	x	@	-inf	(+.f64 (.f64 a b) (.f64 y x))
0.0ms	y	@	inf	(+.f64 (.f64 a b) (.f64 y x))
0.0ms	a	@	-inf	(+.f64 (.f64 a b) (.f64 y x))

rewrite73.0ms (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 a b) (.f64 y x))

Outputs

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

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 8 computations (57.9% saved)

series3.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite66.0ms (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 a b (*.f64 t z))

Outputs

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

simplify15.0ms (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 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 t z)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))

eval20.0ms (0.3%)

Compiler: Compiled 1194 to 311 computations (74% saved)

prune30.0ms (0.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	4	2	6
Picked	0	1	1
Done	1	3	4
Total	96	11	107

Error

Counts

107 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.4b	(*.f64 a b)
▶	24.4b	(+.f64 (.f64 y x) (.f64 t z))
✓	18.7b	(+.f64 (.f64 a b) (.f64 y x))
	18.7b	(fma.f64 y x (*.f64 a b))
✓	20.0b	(fma.f64 a b (*.f64 t z))
▶	20.0b	(+.f64 (.f64 t z) (.f64 a b))
	24.4b	(fma.f64 y x (*.f64 t z))
✓	42.6b	(*.f64 y x)
▶	18.7b	(fma.f64 b a (*.f64 y x))
▶	20.0b	(fma.f64 t z (*.f64 a b))
▶	44.0b	(*.f64 t z)

Compiler

Compiled 209 to 145 computations (30.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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	b	@	-inf	(fma.f64 b a (*.f64 y x))
0.0ms	b	@	0	(fma.f64 b a (*.f64 y x))
0.0ms	b	@	inf	(fma.f64 b a (*.f64 y x))
0.0ms	a	@	0	(fma.f64 b a (*.f64 y x))
0.0ms	a	@	inf	(fma.f64 b a (*.f64 y x))

rewrite96.0ms (1.5%)

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 b a (*.f64 y x))

Outputs

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

simplify15.0ms (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 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))
(*.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))

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

localize5.0ms (0.1%)

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

localize13.0ms (0.2%)

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)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite85.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 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 (0.4%)

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

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))

localize17.0ms (0.3%)

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)

series6.0ms (0.1%)

Counts

1 → 12

Calls

12 calls:

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

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 y 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))))))

simplify10.0ms (0.2%)

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%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 8 computations (57.9% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite66.0ms (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 t z (*.f64 a b))

Outputs

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

simplify15.0ms (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 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))

eval26.0ms (0.4%)

Compiler: Compiled 1600 to 448 computations (72% saved)

prune31.0ms (0.5%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	1	2
Picked	0	1	1
Done	0	8	8
Total	128	11	139

Error

Counts

139 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.4b	(*.f64 a b)
✓	24.4b	(+.f64 (.f64 y x) (.f64 t z))
✓	18.7b	(+.f64 (.f64 a b) (.f64 y x))
▶	18.7b	(fma.f64 y x (*.f64 a b))
✓	20.0b	(fma.f64 a b (*.f64 t z))
✓	20.0b	(+.f64 (.f64 t z) (.f64 a b))
▶	24.4b	(fma.f64 y x (*.f64 t z))
✓	44.0b	(*.f64 t z)
✓	42.6b	(*.f64 y x)
✓	18.7b	(fma.f64 b a (*.f64 y x))
✓	20.0b	(fma.f64 t z (*.f64 a b))

Compiler

Compiled 126 to 88 computations (30.2% saved)

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)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite65.0ms (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 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))))))))

simplify16.0ms (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))

localize9.0ms (0.1%)

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

eval5.0ms (0.1%)

Compiler: Compiled 256 to 73 computations (71.5% saved)

prune19.0ms (0.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	24	11	35

Error

Counts

35 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.4b	(*.f64 a b)
✓	24.4b	(+.f64 (.f64 y x) (.f64 t z))
✓	18.7b	(+.f64 (.f64 a b) (.f64 y x))
✓	18.7b	(fma.f64 y x (*.f64 a b))
✓	20.0b	(fma.f64 a b (*.f64 t z))
✓	20.0b	(+.f64 (.f64 t z) (.f64 a b))
✓	24.4b	(fma.f64 y x (*.f64 t z))
✓	44.0b	(*.f64 t z)
✓	42.6b	(*.f64 y x)
✓	18.7b	(fma.f64 b a (*.f64 y x))
✓	20.0b	(fma.f64 t z (*.f64 a b))

Compiler

Compiled 126 to 88 computations (30.2% saved)

regimes266.0ms (4.1%)

Counts

19 → 1

Calls

Call 1

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

Calls

14 calls:

25.0ms	(*.f64 a b)
25.0ms	(*.f64 a b)
24.0ms	(*.f64 z t)
23.0ms	(+.f64 (.f64 x y) (.f64 z t))
20.0ms	b

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 a b)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 256 to 128 computations (50% saved)

regimes116.0ms (1.8%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

11 calls:

12.0ms	b
11.0ms	(+.f64 (.f64 x y) (.f64 z t))
11.0ms	t
10.0ms	a
10.0ms	(*.f64 a b)

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 198 to 99 computations (50% saved)

regimes173.0ms (2.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

7 calls:

28.0ms	b
27.0ms	a
27.0ms	t
26.0ms	x
22.0ms	z

Results

Error	Segments	Branch
9.5b	5	`x`
9.9b	3	`y`
9.1b	4	`z`
8.9b	3	`t`
9.9b	4	`a`
11.5b	5	`b`
8.0b	3	`(*.f64 a b)`

Compiler

Compiled 97 to 56 computations (42.3% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	7.639544772631747e+25	7.13850308291915e+31
23.0ms	-1.562774054522577e-5	-9.638321246291333e-9

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes160.0ms (2.5%)

Counts

6 → 3

Calls

Call 1

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

Calls

7 calls:

33.0ms	y
28.0ms	a
27.0ms	t
21.0ms	x
18.0ms	z

Results

Error	Segments	Branch
11.4b	5	`x`
10.3b	7	`y`
17.3b	3	`z`
14.8b	5	`t`
11.6b	5	`a`
12.7b	3	`b`
8.1b	3	`(*.f64 a b)`

Compiler

Compiled 83 to 54 computations (34.9% saved)

bsearch42.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	7.639544772631747e+25	7.13850308291915e+31
21.0ms	-6.289867216669463e-27	-5.252935507818197e-33

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes137.0ms (2.1%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

7 calls:

36.0ms	y
22.0ms	b
21.0ms	a
21.0ms	t
16.0ms	x

Results

Error	Segments	Branch
14.0b	3	`x`
13.4b	8	`y`
20.0b	1	`z`
16.2b	5	`t`
17.1b	5	`a`
15.4b	5	`b`
17.9b	3	`(*.f64 a b)`

Compiler

Compiled 76 to 53 computations (30.3% saved)

bsearch382.0ms (5.9%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
46.0ms	3.231789155580607e+187	1.946898873118378e+189
52.0ms	1.0197476663067395e+137	5.5423869478600094e+138
80.0ms	1.9595529474474247e+116	3.2412400329282305e+121
109.0ms	5.935408549136089e+82	1.6461637524236215e+91
50.0ms	2.7000015105327107e+71	5.0383947282705e+71
22.0ms	1.0507984377300053e+37	6.472923499933098e+38
23.0ms	3.89552208019858e+19	1.0547045870669413e+23

Compiler

Compiled 890 to 667 computations (25.1% saved)

regimes210.0ms (3.2%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

7 calls:

47.0ms	y
38.0ms	a
35.0ms	x
27.0ms	b
25.0ms	t

Results

Error	Segments	Branch
26.0b	9	`x`
25.5b	13	`y`
30.7b	3	`z`
27.5b	7	`t`
25.7b	10	`a`
27.2b	7	`b`
23.9b	7	`(*.f64 a b)`

Compiler

Compiled 69 to 52 computations (24.6% saved)

bsearch134.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
22.0ms	7.639544772631747e+25	7.13850308291915e+31
22.0ms	8.502515493648889e+19	3.228308038928031e+23
21.0ms	1.2118992267054724e-53	1.7154663602230083e-53
22.0ms	7.21851399152233e-207	1.5816983486473333e-198
24.0ms	1.5575458549634238e-296	3.261266128222113e-296
22.0ms	-6.289867216669463e-27	-5.252935507818197e-33

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes117.0ms (1.8%)

Accuracy

Total -33.6b remaining (-118.3%)

Threshold costs -33.6b (-118.3%)

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:

22.0ms	y
22.0ms	b
18.0ms	x
16.0ms	a
15.0ms	t

Results

Error	Segments	Branch
34.3b	5	`x`
34.7b	7	`y`
30.7b	3	`z`
31.2b	5	`t`
30.1b	5	`a`
31.5b	7	`b`
28.4b	3	`(*.f64 a b)`

Compiler

Compiled 63 to 51 computations (19% saved)

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	6214156284620.057	8.502515493648889e+19
21.0ms	-1.562774054522577e-5	-9.638321246291333e-9

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	338
1	75	338

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 b a (fma.f64 x y (*.f64 z t)))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 (.f64 a b) -4612494884609823/295147905179352825856) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 a b) 76395447726317471644254208) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 t z) (.f64 a b))))
(if (<=.f64 (.f64 a b) -2191698845805261/348449143727040986586495598010130648530944) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 76395447726317471644254208) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 t z) (.f64 a b))))
(if (<=.f64 y 38955220801985798144) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 y 10507984377300053252743143630456225792) (.f64 y x) (if (<=.f64 y 499999999999999971900905474397285512028612064510275265772061946028228608) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 y 59999999999999997804407793785319445266162859351641406762082183060562519009257324544) (.f64 y x) (if (<=.f64 y 31999999999999999360110987116614437813401766172704272582036745978584717268077719214873261917759758072152834405794465185792) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 y 104999999999999995185164451488409751394694969058121230173734372703653194666262798602047747687019555516949567505912795140867941203800227840) (.f64 y x) (if (<=.f64 y 1899999999999999920211672738573688912715432117394633605752398147888280203359441562396334860783172860952286001711168796174702748206888489987381939308266406369079782168802023774338650598277120) (+.f64 (.f64 t z) (.f64 a b)) (.f64 y x))))))))
(if (<=.f64 (.f64 a b) -2191698845805261/348449143727040986586495598010130648530944) (.f64 a b) (if (<=.f64 (.f64 a b) 5734378476955655/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 y x) (if (<=.f64 (.f64 a b) 2609303586968273/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 t z) (if (<=.f64 (.f64 a b) 2613819081435251/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y x) (if (<=.f64 (.f64 a b) 85025154936488886272) (.f64 t z) (if (<=.f64 (.f64 a b) 76395447726317471644254208) (.f64 y x) (*.f64 a b)))))))
(if (<=.f64 (.f64 a b) -4612494884609823/295147905179352825856) (.f64 a b) (if (<=.f64 (.f64 a b) 3181648017725469/512) (.f64 t z) (*.f64 a b)))
(*.f64 t z)

Outputs
(fma.f64 b a (fma.f64 x y (*.f64 z t)))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 b a))
(if (<=.f64 (.f64 a b) -4612494884609823/295147905179352825856) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 a b) 76395447726317471644254208) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 t z) (.f64 a b))))
(if (<=.f64 (.f64 b a) -4612494884609823/295147905179352825856) (+.f64 (.f64 b a) (.f64 x y)) (if (<=.f64 (.f64 b a) 76395447726317471644254208) (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 b a) (.f64 z t))))
(if (<=.f64 (.f64 a b) -2191698845805261/348449143727040986586495598010130648530944) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 76395447726317471644254208) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 t z) (.f64 a b))))
(if (<=.f64 (.f64 b a) -2191698845805261/348449143727040986586495598010130648530944) (+.f64 (.f64 b a) (.f64 z t)) (if (<=.f64 (.f64 b a) 76395447726317471644254208) (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 b a) (.f64 z t))))
(if (<=.f64 y 38955220801985798144) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 y 10507984377300053252743143630456225792) (.f64 y x) (if (<=.f64 y 499999999999999971900905474397285512028612064510275265772061946028228608) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 y 59999999999999997804407793785319445266162859351641406762082183060562519009257324544) (.f64 y x) (if (<=.f64 y 31999999999999999360110987116614437813401766172704272582036745978584717268077719214873261917759758072152834405794465185792) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 y 104999999999999995185164451488409751394694969058121230173734372703653194666262798602047747687019555516949567505912795140867941203800227840) (.f64 y x) (if (<=.f64 y 1899999999999999920211672738573688912715432117394633605752398147888280203359441562396334860783172860952286001711168796174702748206888489987381939308266406369079782168802023774338650598277120) (+.f64 (.f64 t z) (.f64 a b)) (.f64 y x))))))))
(if (<=.f64 y 38955220801985798144) (+.f64 (.f64 b a) (.f64 z t)) (if (<=.f64 y 10507984377300053252743143630456225792) (.f64 x y) (if (<=.f64 y 499999999999999971900905474397285512028612064510275265772061946028228608) (+.f64 (.f64 b a) (.f64 z t)) (if (<=.f64 y 59999999999999997804407793785319445266162859351641406762082183060562519009257324544) (.f64 x y) (if (<=.f64 y 31999999999999999360110987116614437813401766172704272582036745978584717268077719214873261917759758072152834405794465185792) (+.f64 (.f64 b a) (.f64 z t)) (if (<=.f64 y 104999999999999995185164451488409751394694969058121230173734372703653194666262798602047747687019555516949567505912795140867941203800227840) (.f64 x y) (if (<=.f64 y 1899999999999999920211672738573688912715432117394633605752398147888280203359441562396334860783172860952286001711168796174702748206888489987381939308266406369079782168802023774338650598277120) (+.f64 (.f64 b a) (.f64 z t)) (.f64 x y))))))))
(if (<=.f64 (.f64 a b) -2191698845805261/348449143727040986586495598010130648530944) (.f64 a b) (if (<=.f64 (.f64 a b) 5734378476955655/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 y x) (if (<=.f64 (.f64 a b) 2609303586968273/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 t z) (if (<=.f64 (.f64 a b) 2613819081435251/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y x) (if (<=.f64 (.f64 a b) 85025154936488886272) (.f64 t z) (if (<=.f64 (.f64 a b) 76395447726317471644254208) (.f64 y x) (*.f64 a b)))))))
(if (<=.f64 (.f64 b a) -2191698845805261/348449143727040986586495598010130648530944) (.f64 b a) (if (<=.f64 (.f64 b a) 5734378476955655/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 x y) (if (<=.f64 (.f64 b a) 2609303586968273/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 z t) (if (<=.f64 (.f64 b a) 2613819081435251/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 x y) (if (<=.f64 (.f64 b a) 85025154936488886272) (.f64 z t) (if (<=.f64 (.f64 b a) 76395447726317471644254208) (.f64 x y) (*.f64 b a)))))))
(if (<=.f64 (.f64 a b) -4612494884609823/295147905179352825856) (.f64 a b) (if (<=.f64 (.f64 a b) 3181648017725469/512) (.f64 t z) (*.f64 a b)))
(if (<=.f64 (.f64 b a) -4612494884609823/295147905179352825856) (.f64 b a) (if (<=.f64 (.f64 b a) 3181648017725469/512) (.f64 z t) (*.f64 b a)))
(*.f64 t z)
(*.f64 z t)

Compiler

Compiled 283 to 134 computations (52.7% saved)

soundness0.0ms (0%)

end83.0ms (1.3%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 331 to 126 computations (61.9% saved)

Details

analyze735.0ms (11.4%)

sample2.2s (33.8%)

preprocess25.0ms (0.4%)

simplify8.0ms (0.1%)

eval1.0ms (0%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

series14.0ms (0.2%)

rewrite95.0ms (1.5%)

simplify32.0ms (0.5%)

localize12.0ms (0.2%)

series13.0ms (0.2%)

rewrite76.0ms (1.2%)

simplify38.0ms (0.6%)

eval98.0ms (1.5%)

prune108.0ms (1.7%)

localize21.0ms (0.3%)

series12.0ms (0.2%)

rewrite91.0ms (1.4%)

simplify45.0ms (0.7%)

localize9.0ms (0.1%)

localize11.0ms (0.2%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite73.0ms (1.1%)

simplify9.0ms (0.1%)

localize9.0ms (0.1%)

series3.0ms (0.1%)

rewrite66.0ms (1%)

simplify15.0ms (0.2%)

eval20.0ms (0.3%)

prune30.0ms (0.5%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite96.0ms (1.5%)

simplify15.0ms (0.2%)

localize5.0ms (0.1%)

localize13.0ms (0.2%)

series7.0ms (0.1%)

rewrite85.0ms (1.3%)

simplify24.0ms (0.4%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

rewrite89.0ms (1.4%)

simplify10.0ms (0.2%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite66.0ms (1%)

simplify15.0ms (0.2%)

eval26.0ms (0.4%)

prune31.0ms (0.5%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite65.0ms (1%)

simplify16.0ms (0.2%)

localize9.0ms (0.1%)

eval5.0ms (0.1%)

prune19.0ms (0.3%)

regimes266.0ms (4.1%)

regimes116.0ms (1.8%)

regimes173.0ms (2.7%)

bsearch45.0ms (0.7%)

regimes160.0ms (2.5%)

bsearch42.0ms (0.7%)

regimes137.0ms (2.1%)

bsearch382.0ms (5.9%)

regimes210.0ms (3.2%)

bsearch134.0ms (2.1%)

regimes117.0ms (1.8%)

bsearch44.0ms (0.7%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end83.0ms (1.3%)

Profiling