Details

analyze481.0ms (8.6%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.8s (31.4%)

Results

1.2s	8256×	body	256	valid
555.0ms	3987×	body	256	invalid

preprocess47.0ms (0.8%)

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)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize27.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 11 computations (71.8% saved)

series27.0ms (0.5%)

Counts

2 → 120

Calls

30 calls:

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

rewrite131.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

303 → 194

Calls

Call 1

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

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

eval40.0ms (0.7%)

Compiler: Compiled 3212 to 821 computations (74.4% saved)

prune40.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	6	195

Error

Counts

195 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
▶	0b	(fma.f64 z t (fma.f64 x y (*.f64 a b)))
▶	23.2b	(+.f64 (.f64 y x) (.f64 a b))
▶	17.7b	(+.f64 (.f64 t z) (.f64 a b))
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
▶	40.5b	(*.f64 a b)

Compiler

Compiled 149 to 99 computations (33.6% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite59.0ms (1.1%)

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 x y (*.f64 a b))

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 25

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize10.0ms (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)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite64.0ms (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 y x) (.f64 a b))

Outputs

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

simplify23.0ms (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 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))

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 10 computations (70.6% saved)

series16.0ms (0.3%)

Counts

2 → 120

Calls

30 calls:

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

rewrite76.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
400×	`pow-prod-down_binary64`
319×	`fma-def_binary64`
312×	`pow2_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	226	20
2	2962	20

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify32.0ms (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

226 → 117

Calls

Call 1

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

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

eval44.0ms (0.8%)

Compiler: Compiled 3278 to 880 computations (73.2% saved)

prune47.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	217	5	222
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	220	8	228

Error

Counts

228 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.2b	(+.f64 (.f64 y x) (.f64 a b))
▶	22.0b	(+.f64 (.f64 y x) (.f64 t z))
▶	22.0b	(fma.f64 z t (*.f64 y x))
✓	17.7b	(+.f64 (.f64 t z) (.f64 a b))
▶	45.0b	(*.f64 y x)
▶	17.7b	(fma.f64 z t (*.f64 a b))
▶	39.6b	(*.f64 t z)
✓	40.5b	(*.f64 a b)

Compiler

Compiled 145 to 103 computations (29% saved)

localize9.0ms (0.2%)

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

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

12 calls:

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

rewrite62.0ms (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 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))))))

simplify8.0ms (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)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

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	z	@	0	(fma.f64 z t (*.f64 y x))
0.0ms	z	@	inf	(fma.f64 z t (*.f64 y x))
0.0ms	t	@	inf	(fma.f64 z t (*.f64 y x))
0.0ms	z	@	-inf	(fma.f64 z t (*.f64 y x))
0.0ms	x	@	inf	(fma.f64 z t (*.f64 y x))

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 25

Calls

Call 1

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

Outputs
(*.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))
(*.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))

eval11.0ms (0.2%)

Compiler: Compiled 803 to 235 computations (70.7% saved)

prune17.0ms (0.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	64	8	72

Error

Counts

72 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.2b	(+.f64 (.f64 y x) (.f64 a b))
✓	22.0b	(+.f64 (.f64 y x) (.f64 t z))
✓	22.0b	(fma.f64 z t (*.f64 y x))
✓	17.7b	(+.f64 (.f64 t z) (.f64 a b))
✓	45.0b	(*.f64 y x)
✓	17.7b	(fma.f64 z t (*.f64 a b))
✓	39.6b	(*.f64 t z)
✓	40.5b	(*.f64 a b)

Compiler

Compiled 90 to 64 computations (28.9% saved)

regimes104.0ms (1.9%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

14 calls:

8.0ms	t
8.0ms	x
8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
8.0ms	y
7.0ms	(*.f64 a b)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`t`
0b	1	`a`
0b	1	`b`
0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0b	1	`(*.f64 x y)`
0b	1	`(*.f64 x y)`
0b	1	`(*.f64 z t)`
0b	1	`(*.f64 z t)`
0b	1	`(*.f64 a b)`

Compiler

Compiled 208 to 122 computations (41.3% saved)

regimes99.0ms (1.8%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

13 calls:

8.0ms	y
8.0ms	a
8.0ms	(+.f64 (.f64 x y) (.f64 z t))
8.0ms	b
8.0ms	(*.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 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 190 to 113 computations (40.5% saved)

regimes77.0ms (1.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

11 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
7.0ms	y
7.0ms	t
7.0ms	a
7.0ms	(+.f64 (.f64 x y) (.f64 z t))

Results

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

Compiler

Compiled 158 to 95 computations (39.9% saved)

regimes185.0ms (3.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

7 calls:

37.0ms	b
32.0ms	y
32.0ms	z
28.0ms	t
25.0ms	a

Results

Error	Segments	Branch
10.4b	3	`x`
7.2b	7	`y`
9.5b	7	`z`
9.0b	5	`t`
8.1b	5	`a`
8.4b	8	`b`
5.3b	3	`(*.f64 a b)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch52.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	3.8408839563133917e-20	2.3145488614605767e-9
20.0ms	-3.147366156679038e-25	-1.5698180185984426e-30

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes370.0ms (6.6%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

7 calls:

93.0ms	y
71.0ms	x
48.0ms	b
45.0ms	a
44.0ms	(*.f64 a b)

Results

Error	Segments	Branch
14.7b	7	`x`
13.6b	10	`y`
12.9b	3	`z`
12.9b	3	`t`
9.9b	5	`a`
12.0b	5	`b`
6.3b	5	`(*.f64 a b)`

Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch101.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	3.8408839563133917e-20	2.3145488614605767e-9
20.0ms	-1.3182851531349158e+27	-2.7430844152762786e+21
21.0ms	-2.172983854954962e+69	-8.63160454202424e+62
39.0ms	-7.056002558491595e+90	-2.4700066790739356e+82

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes165.0ms (2.9%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

7 calls:

30.0ms	y
30.0ms	z
26.0ms	t
22.0ms	(*.f64 a b)
22.0ms	b

Results

Error	Segments	Branch
17.8b	5	`x`
16.7b	7	`y`
17.9b	7	`z`
18.2b	5	`t`
14.2b	3	`a`
16.0b	5	`b`
9.2b	5	`(*.f64 a b)`

Compiler

Compiled 73 to 53 computations (27.4% saved)

bsearch94.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	65449262970.78595	4092758211762.833
25.0ms	-1.3182851531349158e+27	-2.7430844152762786e+21
23.0ms	-2.172983854954962e+69	-8.63160454202424e+62
20.0ms	-7.056002558491595e+90	-2.4700066790739356e+82

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes230.0ms (4.1%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

7 calls:

40.0ms	a
38.0ms	x
37.0ms	z
37.0ms	y
32.0ms	(*.f64 a b)

Results

Error	Segments	Branch
27.7b	10	`x`
26.6b	10	`y`
26.3b	9	`z`
27.6b	4	`t`
24.7b	10	`a`
28.5b	7	`b`
20.7b	9	`(*.f64 a b)`

Compiler

Compiled 66 to 52 computations (21.2% saved)

bsearch186.0ms (3.3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
22.0ms	2.3145488614605767e-9	7.372354537943932e-8
23.0ms	-3.9864205270420105e-269	-1.013991410664097e-280
21.0ms	-9.74414526077647e-181	-1.7322318653476806e-202
23.0ms	-1.0485789527920044e-79	-1.1264371412056713e-84
23.0ms	-1.5517600932540332e-31	-2.8465291396954294e-36
28.0ms	-1.3182851531349158e+27	-2.7430844152762786e+21
23.0ms	-2.172983854954962e+69	-8.63160454202424e+62
21.0ms	-7.056002558491595e+90	-2.4700066790739356e+82

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes190.0ms (3.4%)

Accuracy

Total -30.8b remaining (-97.8%)

Threshold costs -30.8b (-97.8%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

6 calls:

41.0ms	b
37.0ms	y
32.0ms	x
29.0ms	a
26.0ms	t

Results

Error	Segments	Branch
33.8b	6	`x`
31.5b	5	`y`
33.8b	3	`z`
32.4b	3	`t`
37.9b	3	`a`
34.9b	8	`b`

Compiler

Compiled 54 to 44 computations (18.5% saved)

bsearch294.0ms (5.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
107.0ms	7.60747310271074e+102	1.9757810995645155e+107
139.0ms	8.80032816522634e+67	1.124892826275856e+72
23.0ms	104785299182392240.0	2.43340316400565e+18
25.0ms	-1.5336725179590313e-61	-4.151971363792064e-65

Compiler

Compiled 346 to 275 computations (20.5% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	394
1	82	394

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 (.f64 a b) -3427178257157121/10889035741470030830827987437816582766592) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 13069850837229793280/340282366920938463463374607431768211456) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 y x) (.f64 a b))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) 13069850837229793280/340282366920938463463374607431768211456) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 y x) (*.f64 a b))))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (.f64 a b) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) 1072320724513357/16384) (+.f64 (.f64 y x) (.f64 t z)) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (.f64 a b) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (.f64 t z) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) -226789991703552416/1461501637330902918203684832716283019655932542976) (.f64 t z) (if (<=.f64 (.f64 a b) -223975104930324544/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y x) (if (<=.f64 (.f64 a b) -1138101353517501/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (.f64 t z) (if (<=.f64 (.f64 a b) -5927874728014385/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (.f64 y x) (if (<=.f64 (.f64 a b) 5596235758758669/2417851639229258349412352) (.f64 t z) (*.f64 a b)))))))))
(if (<=.f64 y -17758714506033158/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 y x) (if (<=.f64 y 104785299182392240) (.f64 t z) (if (<=.f64 y 89999999999999996949732143925825796614584777178754578379519400345600) (.f64 y x) (if (<=.f64 y 189999999999999990815372127221683530497692309761426352190274572464805896741849507283972524929913451236556800) (.f64 t z) (*.f64 y x)))))
(*.f64 y x)

Outputs
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
(+.f64 (.f64 a b) (fma.f64 z t (.f64 x y)))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 z t) (*.f64 x y)))
(if (<=.f64 (.f64 a b) -3427178257157121/10889035741470030830827987437816582766592) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 13069850837229793280/340282366920938463463374607431768211456) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 y x) (.f64 a b))))
(if (<=.f64 (.f64 a b) -3427178257157121/10889035741470030830827987437816582766592) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 (.f64 a b) 3190881552058055/83076749736557242056487941267521536) (+.f64 (.f64 z t) (.f64 x y)) (+.f64 (.f64 a b) (.f64 x y))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) 13069850837229793280/340282366920938463463374607431768211456) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 y x) (*.f64 a b))))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (+.f64 (.f64 a b) (.f64 x y)) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (+.f64 (.f64 z t) (.f64 x y)) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) 3190881552058055/83076749736557242056487941267521536) (+.f64 (.f64 z t) (.f64 x y)) (+.f64 (.f64 a b) (*.f64 x y))))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (.f64 a b) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) 1072320724513357/16384) (+.f64 (.f64 y x) (.f64 t z)) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (.f64 a b) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (+.f64 (.f64 z t) (.f64 x y)) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) 1072320724513357/16384) (+.f64 (.f64 z t) (.f64 x y)) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (.f64 a b) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (.f64 t z) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) -226789991703552416/1461501637330902918203684832716283019655932542976) (.f64 t z) (if (<=.f64 (.f64 a b) -223975104930324544/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y x) (if (<=.f64 (.f64 a b) -1138101353517501/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (.f64 t z) (if (<=.f64 (.f64 a b) -5927874728014385/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (.f64 y x) (if (<=.f64 (.f64 a b) 5596235758758669/2417851639229258349412352) (.f64 t z) (*.f64 a b)))))))))
(if (<=.f64 (.f64 a b) -7056002558491595001255521582632766791019840720572793249228940685051878069946328249733742592) (.f64 a b) (if (<=.f64 (.f64 a b) -2172983854954962184246840600632299204851951295126066840401654522576896) (.f64 z t) (if (<=.f64 (.f64 a b) -1318285153134915768484364288) (.f64 a b) (if (<=.f64 (.f64 a b) -7087187240736013/45671926166590716193865151022383844364247891968) (.f64 z t) (if (<=.f64 (.f64 a b) -3499611014536321/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 x y) (if (<=.f64 (.f64 a b) -1138101353517501/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (.f64 z t) (if (<=.f64 (.f64 a b) -5927874728014385/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (.f64 x y) (if (<=.f64 (.f64 a b) 5596235758758669/2417851639229258349412352) (.f64 z t) (*.f64 a b)))))))))
(if (<=.f64 y -17758714506033158/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 y x) (if (<=.f64 y 104785299182392240) (.f64 t z) (if (<=.f64 y 89999999999999996949732143925825796614584777178754578379519400345600) (.f64 y x) (if (<=.f64 y 189999999999999990815372127221683530497692309761426352190274572464805896741849507283972524929913451236556800) (.f64 t z) (*.f64 y x)))))
(if (<=.f64 y -8879357253016579/57896044618658097711785492504343953926634992332820282019728792003956564819968) (.f64 x y) (if (<=.f64 y 104785299182392240) (.f64 z t) (if (<=.f64 y 89999999999999996949732143925825796614584777178754578379519400345600) (.f64 x y) (if (<=.f64 y 189999999999999990815372127221683530497692309761426352190274572464805896741849507283972524929913451236556800) (.f64 z t) (*.f64 x y)))))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 328 to 153 computations (53.4% saved)

soundness0.0ms (0%)

end86.0ms (1.5%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 370 to 137 computations (63% saved)

Details

analyze481.0ms (8.6%)

sample1.8s (31.4%)

preprocess47.0ms (0.8%)

simplify15.0ms (0.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize27.0ms (0.5%)

series27.0ms (0.5%)

rewrite131.0ms (2.4%)

simplify44.0ms (0.8%)

eval40.0ms (0.7%)

prune40.0ms (0.7%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite59.0ms (1.1%)

simplify13.0ms (0.2%)

localize5.0ms (0.1%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite62.0ms (1.1%)

simplify13.0ms (0.2%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite64.0ms (1.1%)

simplify23.0ms (0.4%)

localize22.0ms (0.4%)

series16.0ms (0.3%)

rewrite76.0ms (1.4%)

simplify32.0ms (0.6%)

eval44.0ms (0.8%)

prune47.0ms (0.8%)

localize9.0ms (0.2%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (1.1%)

simplify8.0ms (0.2%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite54.0ms (1%)

simplify13.0ms (0.2%)

eval11.0ms (0.2%)

prune17.0ms (0.3%)

regimes104.0ms (1.9%)

regimes99.0ms (1.8%)

regimes77.0ms (1.4%)

regimes185.0ms (3.3%)

bsearch52.0ms (0.9%)

regimes370.0ms (6.6%)

bsearch101.0ms (1.8%)

regimes165.0ms (2.9%)

bsearch94.0ms (1.7%)

regimes230.0ms (4.1%)

bsearch186.0ms (3.3%)

regimes190.0ms (3.4%)

bsearch294.0ms (5.3%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end86.0ms (1.5%)

Profiling