Details

analyze420.0ms (7.7%)

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 (32%)

Results

1.2s	8256×	body	256	valid
566.0ms	4056×	body	256	invalid

preprocess23.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

135×	`fma-def_binary64`
45×	`+-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	143	192
2	266	192
3	300	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 (.f64 y b) (fma.f64 x a (.f64 z t)))
(fma.f64 y b (fma.f64 x a (*.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 (.f64 y b) (fma.f64 x a (.f64 z t)))
(fma.f64 y b (fma.f64 x a (*.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 z a (fma.f64 x y (*.f64 t b)))
(+.f64 (+.f64 (.f64 x y) (.f64 z a)) (*.f64 t b))
(+.f64 (fma.f64 x y (.f64 t b)) (.f64 z a))
(fma.f64 z a (fma.f64 x y (*.f64 t b)))
(+.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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite73.0ms (1.3%)

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	3656	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 x (.f64 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 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 x) (.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (sqrt.f64 t)) (sqrt.f64 t) (.f64 x y))))) (#(struct:change #<rule egg-rr> 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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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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)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (fma.f64 a b (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (fma.f64 a b (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (fma.f64 a b (*.f64 z t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (fma.f64 a b (*.f64 z t)))))))))

simplify30.0ms (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

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)))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series11.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

163 → 54

Calls

Call 1

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

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

eval53.0ms (1%)

Compiler: Compiled 3911 to 958 computations (75.5% saved)

prune55.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	236	12	248
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	238	12	250

Error

Counts

250 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.7b	(*.f64 t z)
▶	0.0b	(fma.f64 t z (fma.f64 x y (*.f64 a b)))
	0.0b	(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
	44.4b	(*.f64 y x)
	22.2b	(fma.f64 a b (*.f64 y x))
	19.0b	(+.f64 (.f64 a b) (.f64 t z))
	19.0b	(fma.f64 a b (*.f64 t z))
	22.2b	(fma.f64 y x (*.f64 a b))
▶	22.2b	(+.f64 (.f64 a b) (.f64 y x))
▶	40.1b	(*.f64 a b)
▶	22.2b	(fma.f64 y x (*.f64 t z))
	22.3b	(+.f64 (.f64 y x) (.f64 t z))

Compiler

Compiled 290 to 198 computations (31.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series9.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

((#(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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 a b))))))))

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

163 → 54

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

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

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

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2269	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 8 computations (57.9% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

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

Outputs
(*.f64 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))

eval24.0ms (0.4%)

Compiler: Compiled 1495 to 392 computations (73.8% saved)

prune30.0ms (0.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	110	7	117
Fresh	6	1	7
Picked	0	1	1
Done	1	3	4
Total	117	12	129

Error

Counts

129 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.2b	(fma.f64 t z (*.f64 y x))
▶	22.3b	(+.f64 (.f64 t z) (.f64 y x))
	19.0b	(fma.f64 t z (*.f64 a b))
✓	22.2b	(+.f64 (.f64 a b) (.f64 y x))
▶	22.2b	(fma.f64 y x (*.f64 a b))
	19.0b	(+.f64 (.f64 a b) (.f64 t z))
✓	40.1b	(*.f64 a b)
	22.2b	(fma.f64 b a (*.f64 y x))
▶	19.0b	(fma.f64 a b (*.f64 t z))
✓	40.7b	(*.f64 t z)
▶	44.4b	(*.f64 y x)
✓	22.2b	(fma.f64 y x (*.f64 t z))

Compiler

Compiled 233 to 161 computations (30.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 8 computations (57.9% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

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

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2269	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

85 → 40

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))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 t z (*.f64 y x))
✓	0.0b	(fma.f64 t z (*.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	t	@	0	(fma.f64 t z (*.f64 y x))
0.0ms	z	@	inf	(fma.f64 t z (*.f64 y x))
0.0ms	t	@	inf	(fma.f64 t z (*.f64 y x))
0.0ms	y	@	0	(fma.f64 t z (*.f64 y x))
0.0ms	x	@	0	(fma.f64 t z (*.f64 y x))

rewrite41.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

Inputs
(*.f64 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))

eval22.0ms (0.4%)

Compiler: Compiled 1303 to 351 computations (73.1% saved)

prune27.0ms (0.5%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	1	3
Picked	0	1	1
Done	0	8	8
Total	112	12	124

Error

Counts

124 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.2b	(fma.f64 t z (*.f64 y x))
✓	22.3b	(+.f64 (.f64 t z) (.f64 y x))
▶	19.0b	(fma.f64 t z (*.f64 a b))
✓	22.2b	(+.f64 (.f64 a b) (.f64 y x))
✓	22.2b	(fma.f64 y x (*.f64 a b))
▶	19.0b	(+.f64 (.f64 t z) (.f64 a b))
▶	22.2b	(fma.f64 a b (*.f64 y x))
✓	19.0b	(fma.f64 a b (*.f64 t z))
✓	40.7b	(*.f64 t z)
✓	44.4b	(*.f64 y x)
✓	40.1b	(*.f64 a b)
✓	22.2b	(fma.f64 y x (*.f64 t z))

Compiler

Compiled 138 to 96 computations (30.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 8 computations (57.9% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series3.0ms (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	b	@	-inf	(+.f64 (.f64 t z) (.f64 a b))
0.0ms	a	@	inf	(+.f64 (.f64 t z) (.f64 a b))
0.0ms	a	@	-inf	(+.f64 (.f64 t z) (.f64 a b))
0.0ms	t	@	-inf	(+.f64 (.f64 t z) (.f64 a b))

rewrite52.0ms (0.9%)

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	2269	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 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))))) (#(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 expm1.f64 (log1p.f64 (fma.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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 8 computations (57.9% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite41.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

69 → 24

Calls

Call 1

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

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

eval16.0ms (0.3%)

Compiler: Compiled 1053 to 286 computations (72.8% saved)

prune22.0ms (0.4%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	11	11
Total	88	12	100

Error

Counts

100 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.2b	(fma.f64 t z (*.f64 y x))
✓	22.3b	(+.f64 (.f64 t z) (.f64 y x))
✓	19.0b	(fma.f64 t z (*.f64 a b))
✓	22.2b	(+.f64 (.f64 a b) (.f64 y x))
✓	22.2b	(fma.f64 y x (*.f64 a b))
✓	19.0b	(+.f64 (.f64 t z) (.f64 a b))
✓	22.2b	(fma.f64 a b (*.f64 y x))
✓	19.0b	(fma.f64 a b (*.f64 t z))
✓	40.7b	(*.f64 t z)
✓	44.4b	(*.f64 y x)
✓	40.1b	(*.f64 a b)
✓	22.2b	(fma.f64 y x (*.f64 t z))

Compiler

Compiled 138 to 96 computations (30.4% saved)

regimes315.0ms (5.7%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

8 calls:

55.0ms	z
46.0ms	(*.f64 a b)
39.0ms	t
38.0ms	a
37.0ms	b

Results

Error	Segments	Branch
8.0b	5	`x`
8.9b	5	`y`
8.0b	5	`z`
10.0b	6	`t`
9.9b	3	`a`
9.6b	5	`b`
4.9b	4	`(*.f64 a b)`
4.9b	4	`(*.f64 a b)`

Compiler

Compiled 132 to 68 computations (48.5% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.5924005794048365e-72	6.335983466623698e-71
0.0ms	-2.1898384731153152e-46	-1.7874287434709085e-51
0.0ms	-1.1275804822513018e+30	-1.5080686882010098e+25

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes211.0ms (3.9%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

8 calls:

32.0ms	b
32.0ms	z
32.0ms	t
30.0ms	y
26.0ms	x

Results

Error	Segments	Branch
8.0b	5	`x`
8.9b	5	`y`
8.0b	5	`z`
10.1b	6	`t`
9.9b	3	`a`
9.6b	5	`b`
4.9b	4	`(*.f64 a b)`
4.9b	4	`(*.f64 a b)`

Compiler

Compiled 114 to 65 computations (43% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.5924005794048365e-72	6.335983466623698e-71
0.0ms	-2.1898384731153152e-46	-1.7874287434709085e-51
0.0ms	-1.1275804822513018e+30	-1.5080686882010098e+25

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes177.0ms (3.2%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

7 calls:

30.0ms	y
29.0ms	b
28.0ms	z
28.0ms	t
27.0ms	x

Results

Error	Segments	Branch
8.0b	5	`x`
8.9b	5	`y`
8.0b	5	`z`
10.1b	6	`t`
9.9b	3	`a`
9.6b	5	`b`
4.9b	4	`(*.f64 a b)`

Compiler

Compiled 99 to 57 computations (42.4% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.5924005794048365e-72	6.335983466623698e-71
0.0ms	-2.1898384731153152e-46	-1.7874287434709085e-51
0.0ms	-1.1275804822513018e+30	-1.5080686882010098e+25

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes173.0ms (3.2%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	z
29.0ms	b
28.0ms	t
28.0ms	y
24.0ms	x

Results

Error	Segments	Branch
8.0b	5	`x`
8.9b	5	`y`
8.0b	5	`z`
10.1b	6	`t`
9.9b	3	`a`
9.6b	5	`b`
4.9b	4	`(*.f64 a b)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch72.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
25.0ms	1.5924005794048365e-72	6.335983466623698e-71
24.0ms	-2.1898384731153152e-46	-1.7874287434709085e-51
23.0ms	-1.1275804822513018e+30	-1.5080686882010098e+25

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes183.0ms (3.3%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

7 calls:

36.0ms	a
34.0ms	(*.f64 a b)
26.0ms	t
26.0ms	z
21.0ms	x

Results

Error	Segments	Branch
10.8b	5	`x`
11.5b	5	`y`
8.4b	5	`z`
12.2b	5	`t`
13.1b	8	`a`
14.2b	4	`b`
13.9b	7	`(*.f64 a b)`

Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch219.0ms (4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	9.914749661589495e-148	4.287440858874516e-143
23.0ms	-1.9064006968758767e-53	-6.831128688701016e-56
96.0ms	-2.038277533586277e+65	-1.3749888139302162e+64
76.0ms	-1.984900531474863e+92	-8.817268232189067e+88

Compiler

Compiled 418 to 299 computations (28.5% saved)

regimes93.0ms (1.7%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

7 calls:

25.0ms	a
17.0ms	z
11.0ms	(*.f64 a b)
11.0ms	b
11.0ms	t

Results

Error	Segments	Branch
19.0b	1	`x`
16.4b	3	`y`
16.4b	5	`z`
17.7b	3	`t`
15.4b	7	`a`
17.0b	3	`b`
17.7b	3	`(*.f64 a b)`

Compiler

Compiled 73 to 53 computations (27.4% saved)

bsearch136.0ms (2.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	3.730284291716509e-39	8.399836791050745e-18
23.0ms	3.2925247215507614e-102	7.97309290336856e-98
23.0ms	2.2235150862565804e-226	3.146343933333336e-217
23.0ms	4.547715440359494e-278	3.6396325095990084e-277
23.0ms	-1.5918549168358408e-139	-1.3419492382974685e-141
23.0ms	-2.658542133680414e-112	-3.940260423360883e-113

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes168.0ms (3.1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

7 calls:

36.0ms	z
27.0ms	t
25.0ms	x
25.0ms	y
21.0ms	a

Results

Error	Segments	Branch
27.6b	8	`x`
28.6b	7	`y`
25.0b	12	`z`
28.4b	9	`t`
27.3b	7	`a`
26.5b	5	`b`
23.2b	5	`(*.f64 a b)`

Compiler

Compiled 66 to 52 computations (21.2% saved)

bsearch85.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	1.5924005794048365e-72	6.335983466623698e-71
21.0ms	-1.0343792498660506e-138	-7.816109050666269e-153
21.0ms	-1.9415546941397957e-59	-2.552302286823425e-64
21.0ms	-8.647093153606554e-17	-1.754691218321757e-34

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes92.0ms (1.7%)

Accuracy

Total -33.1b remaining (-115.7%)

Threshold costs -33.1b (-115.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

22.0ms	t
17.0ms	z
14.0ms	b
11.0ms	a
9.0ms	x

Results

Error	Segments	Branch
31.7b	3	`x`
33.8b	3	`y`
35.9b	6	`z`
34.1b	8	`t`
32.2b	3	`a`
31.9b	5	`b`
28.6b	3	`(*.f64 a b)`

Compiler

Compiled 63 to 51 computations (19% saved)

bsearch43.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	8.824314654231246e-39	1.1775679103332327e-33
21.0ms	-8.647093153606554e-17	-1.754691218321757e-34

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	508
1	89	508

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (fma.f64 a b (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (fma.f64 y x (.f64 a b)))))
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (fma.f64 a b (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (+.f64 (.f64 a b) (*.f64 y x)))))
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (+.f64 (.f64 a b) (.f64 y x)))))
(if (<=.f64 (.f64 a b) -1127580482251301838806547693568) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 a b) -5630295605169629/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 3167751239241731/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (+.f64 (.f64 t z) (.f64 y x)) (+.f64 (.f64 a b) (*.f64 y x)))))
(if (<=.f64 z -195000000000000005563770679117836398702332573148430469467646272279528677527048216435729891328) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 z -14000000000000001175386848530903307134428509827521321048400199680) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 z -1027929222279849/53919893334301279589334030174039261347274288845081144962207220498432) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 z 57095173148118360/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (.f64 a b) (.f64 y x)) (+.f64 (.f64 t z) (.f64 a b))))))
(if (<=.f64 a -5758796253592947/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 a -2134328497726970/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 y x) (if (<=.f64 a 3630605516865167/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 a 5930572274753989/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 y x) (if (<=.f64 a 8302853086740807/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 a 5716644043217621/1532495540865888858358347027150309183618739122183602176) (.f64 y x) (+.f64 (.f64 t z) (*.f64 a b))))))))
(if (<=.f64 (.f64 a b) -7015355408895207/81129638414606681695789005144064) (.f64 a b) (if (<=.f64 (.f64 a b) -2248166744029653760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 t z) (if (<=.f64 (.f64 a b) -13868758308922108/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 y x) (if (<=.f64 (.f64 a b) 3167751239241731/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (.f64 t z) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -7015355408895207/81129638414606681695789005144064) (.f64 a b) (if (<=.f64 (.f64 a b) 6761611429403451/766247770432944429179173513575154591809369561091801088) (.f64 y x) (*.f64 a b)))
(*.f64 a b)

Outputs
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (fma.f64 a b (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (fma.f64 y x (.f64 a b)))))
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (fma.f64 a b (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (fma.f64 y x (.f64 a b)))))
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (fma.f64 a b (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (+.f64 (.f64 a b) (*.f64 y x)))))
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (fma.f64 a b (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (+.f64 (.f64 a b) (*.f64 y x)))))
(if (<=.f64 (.f64 a b) -1000000000000000019884624838656) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 a b) -5142201741628769/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 (.f64 a b) 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fma.f64 y x (.f64 t z)) (+.f64 (.f64 a b) (.f64 y x)))))
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(if (<=.f64 (.f64 a b) -7015355408895207/81129638414606681695789005144064) (.f64 a b) (if (<=.f64 (.f64 a b) -2248166744029653760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 t z) (if (<=.f64 (.f64 a b) -13868758308922108/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 y x) (if (<=.f64 (.f64 a b) 3167751239241731/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (.f64 t z) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -7015355408895207/81129638414606681695789005144064) (.f64 a b) (if (<=.f64 (.f64 a b) -8781901343865835/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 t z) (if (<=.f64 (.f64 a b) -3467189577230527/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 y x) (if (<=.f64 (.f64 a b) 3167751239241731/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (.f64 t z) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -7015355408895207/81129638414606681695789005144064) (.f64 a b) (if (<=.f64 (.f64 a b) 6761611429403451/766247770432944429179173513575154591809369561091801088) (.f64 y x) (*.f64 a b)))
(*.f64 a b)

end103.0ms (1.9%)

Stop Event

1×

done

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 1060 to 410 computations (61.3% saved)