Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.5s (48.4%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess21.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

116×	`fma-def_binary64`
43×	`distribute-rgt-in_binary64`
39×	`distribute-lft-in_binary64`
25×	`*-commutative_binary64`
16×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
1	88	70
2	184	70
3	289	70
4	343	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3
1

Call 2

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b d) c))

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 b (+.f64 a d)))
(*.f64 c (+.f64 d (+.f64 a b)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 b (+.f64 c d)))

Symmetry

(sort b c d)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
10×	`distribute-lft-in_binary64`
10×	`distribute-rgt-in_binary64`
7×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	45	10
3	85	10
4	104	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% 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	(*.f64 a (+.f64 c (+.f64 b d)))
▶	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 c (+.f64 b d))
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series11.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

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

rewrite71.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`log-prod_binary64`
436×	`pow-prod-down_binary64`
429×	`fma-def_binary64`
353×	`exp-prod_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	185	17
2	2901	17

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 c (+.f64 b d))

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

Outputs

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

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

simplify120.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	642
1	50	642
2	69	642
3	77	642

Stop Event

1×

saturated

Counts

223 → 158

Calls

Call 1

Inputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 d b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c d)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))

Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 d b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c d)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	d	@	-inf	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	a	@	inf	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	b	@	inf	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	b	@	-inf	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite59.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`log-prod_binary64`
462×	`fma-def_binary64`
424×	`pow-prod-down_binary64`
352×	`exp-prod_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	10
2	2897	10

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))

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

Outputs

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

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	435
1	50	435
2	69	435
3	77	435

Stop Event

1×

saturated

Counts

112 → 76

Calls

Call 1

Inputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))

Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)

eval46.0ms (1.5%)

Compiler: Compiled 2880 to 842 computations (70.8% saved)

prune76.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	230	4	234
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	230	6	236

Error

Counts

236 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))
▶	4.2b	(*.f64 d a)
▶	0.2b	(*.f64 a (+.f64 c d))
▶	0.0b	(fma.f64 (+.f64 b d) a (*.f64 a c))
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 63 to 40 computations (36.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (+.f64 c d))

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 a (+.f64 c d))
0.0ms	a	@	-inf	(*.f64 a (+.f64 c d))
0.0ms	a	@	inf	(*.f64 a (+.f64 c d))
0.0ms	c	@	inf	(*.f64 a (+.f64 c d))
0.0ms	d	@	-inf	(*.f64 a (+.f64 c d))

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
725×	`add-log-exp_binary64`
725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1983	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 a (+.f64 c d))

Outputs

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

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	234
1	16	234
2	18	234

Stop Event

1×

saturated

Counts

60 → 30

Calls

Call 1

Inputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))

Outputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 d b) a)
✓	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series11.0ms (0.4%)

Counts

2 → 63

Calls

21 calls:

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

rewrite71.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`log-prod_binary64`
520×	`fma-def_binary64`
421×	`pow-prod-down_binary64`
280×	`pow2_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	200	17
2	2939	17

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 d b) a)

Outputs

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

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

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

377×	`fma-neg_binary64`
365×	`fma-def_binary64`
113×	`distribute-rgt-in_binary64`
96×	`distribute-lft-in_binary64`
96×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	557
1	69	495
2	194	495
3	517	495
4	1280	495
5	1804	495
6	2055	495
7	2060	495

Stop Event

1×

saturated

Counts

170 → 122

Calls

Call 1

Inputs
(+.f64 (.f64 a b) (.f64 c a))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(*.f64 (+.f64 d b) a)
(*.f64 c a)
(*.f64 c a)
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 a d))

Outputs
(+.f64 (.f64 a b) (.f64 c a))
(fma.f64 a b (*.f64 a c))
(*.f64 a (+.f64 b c))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 b d))
(*.f64 c a)
(*.f64 a c)
(*.f64 c a)
(*.f64 a c)
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 b d) a (*.f64 a c))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(fma.f64 (+.f64 b d) a (*.f64 a c))
1.0ms	a	@	inf	(fma.f64 (+.f64 b d) a (*.f64 a c))
0.0ms	b	@	inf	(fma.f64 (+.f64 b d) a (*.f64 a c))
0.0ms	b	@	0	(fma.f64 (+.f64 b d) a (*.f64 a c))
0.0ms	d	@	inf	(fma.f64 (+.f64 b d) a (*.f64 a c))

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
846×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	168	10
2	2256	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 (+.f64 b d) a (*.f64 a c))

Outputs

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

383×	`fma-def_binary64`
377×	`fma-neg_binary64`
113×	`distribute-rgt-in_binary64`
97×	`distribute-lft-in_binary64`
95×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	515
1	71	435
2	196	435
3	518	435
4	1281	435
5	1814	435
6	2073	435
7	2078	435

Stop Event

1×

saturated

Counts

70 → 38

Calls

Call 1

Inputs
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (.f64 c a))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

Outputs
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (.f64 c a))
(fma.f64 a b (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))

eval36.0ms (1.2%)

Compiler: Compiled 2347 to 638 computations (72.8% saved)

prune33.0ms (1.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	190	6	196

Error

Counts

196 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.2b	(*.f64 d a)
✓	0.2b	(*.f64 a (+.f64 c d))
▶	0.2b	(+.f64 (.f64 c a) (.f64 a d))
✓	0.0b	(fma.f64 (+.f64 b d) a (*.f64 a c))
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 61 to 39 computations (36.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 c a) (.f64 a d))

Compiler

Compiled 20 to 7 computations (65% saved)

series11.0ms (0.4%)

Counts

1 → 27

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	a	@	0	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	c	@	0	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	d	@	0	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	d	@	inf	(+.f64 (.f64 c a) (.f64 a d))

rewrite51.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	149	7
2	2060	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(+.f64 (.f64 c a) (.f64 a d))

Outputs

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

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
38×	`distribute-rgt-in_binary64`
34×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	192
1	33	171
2	79	171
3	209	171
4	433	171
5	566	171
6	676	171
7	681	171

Stop Event

1×

saturated

Counts

66 → 45

Calls

Call 1

Inputs
(*.f64 a d)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(*.f64 a d)

Outputs
(*.f64 a d)
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 a d)

eval9.0ms (0.3%)

Compiler: Compiled 549 to 165 computations (69.9% saved)

prune10.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	44	7	51

Error

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.9b	(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	4.2b	(*.f64 d a)
✓	0.2b	(*.f64 a (+.f64 c d))
✓	0.2b	(+.f64 (.f64 c a) (.f64 a d))
▶	0.1b	(fma.f64 d a (*.f64 c a))
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))

Compiler

Compiled 82 to 50 computations (39% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (+.f64 d c))
✓	0.3b	(/.f64 1 (*.f64 a (-.f64 c d)))
✓	0.4b	(.f64 (.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))
✓	7.0b	(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))

Compiler

Compiled 61 to 15 computations (75.4% saved)

series21.0ms (0.7%)

Counts

4 → 132

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(/.f64 1 (*.f64 a (-.f64 c d)))
2.0ms	c	@	0	(.f64 (.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))
1.0ms	a	@	0	(.f64 (.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))
1.0ms	c	@	0	(/.f64 1 (*.f64 a (-.f64 c d)))
1.0ms	c	@	inf	(/.f64 1 (*.f64 a (-.f64 c d)))

rewrite91.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`prod-diff_binary64`
426×	`fma-def_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`
184×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	273	40
2	4227	40

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))
(.f64 (.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))
(/.f64 1 (*.f64 a (-.f64 c d)))
(*.f64 a (+.f64 d c))

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

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-/l/_binary64`
379×	`unswap-sqr_binary64`
340×	`associate-/r/_binary64`
312×	`distribute-rgt-out_binary64`
306×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1665
1	240	1650
2	847	1605
3	3774	1548

Stop Event

1×	node limit

Counts

339 → 166

Calls

Call 1

Inputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (*.f64 -1 c)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))) (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (*.f64 -1 d)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(/.f64 -1 (*.f64 a d))
(-.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (/.f64 1 (*.f64 a d)))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3))))) (/.f64 1 (*.f64 a d)))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3)))) (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 a d)))
(/.f64 1 (*.f64 c a))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 (pow.f64 c 2) a)))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (*.f64 (pow.f64 c 2) a))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 4) a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (.f64 (pow.f64 c 2) a)))))
(/.f64 1 (*.f64 c a))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 (pow.f64 c 2) a)))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (*.f64 (pow.f64 c 2) a))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 4) a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (.f64 (pow.f64 c 2) a)))))
(/.f64 1 (*.f64 c a))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 (pow.f64 c 2) a)))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (*.f64 (pow.f64 c 2) a))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 4) a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (.f64 (pow.f64 c 2) a)))))
(/.f64 -1 (*.f64 a d))
(-.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (/.f64 1 (*.f64 a d)))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3))))) (/.f64 1 (*.f64 a d)))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3)))) (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 a d)))
(/.f64 -1 (*.f64 a d))
(-.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (/.f64 1 (*.f64 a d)))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3))))) (/.f64 1 (*.f64 a d)))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3)))) (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 a d)))
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))

Outputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 a a) (*.f64 c c))
(.f64 c (.f64 c (*.f64 a a)))
(+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c)))))
(.f64 (.f64 a a) (*.f64 c c))
(.f64 c (.f64 c (*.f64 a a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 d d)))
(.f64 (.f64 d d) (neg.f64 (*.f64 a a)))
(.f64 d (.f64 d (*.f64 a (neg.f64 a))))
(.f64 a (.f64 d (*.f64 d (neg.f64 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (*.f64 -1 c)))))
(neg.f64 (.f64 (.f64 a a) (*.f64 d d)))
(.f64 (.f64 d d) (neg.f64 (*.f64 a a)))
(.f64 d (.f64 d (*.f64 a (neg.f64 a))))
(.f64 a (.f64 d (*.f64 d (neg.f64 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 d d)))
(.f64 (.f64 d d) (neg.f64 (*.f64 a a)))
(.f64 d (.f64 d (*.f64 a (neg.f64 a))))
(.f64 a (.f64 d (*.f64 d (neg.f64 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))) (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))))
(neg.f64 (.f64 (.f64 a a) (*.f64 d d)))
(.f64 (.f64 d d) (neg.f64 (*.f64 a a)))
(.f64 d (.f64 d (*.f64 a (neg.f64 a))))
(.f64 a (.f64 d (*.f64 d (neg.f64 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (.f64 d (+.f64 c (.f64 -1 c))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 d d)))
(.f64 (.f64 d d) (neg.f64 (*.f64 a a)))
(.f64 d (.f64 d (*.f64 a (neg.f64 a))))
(.f64 a (.f64 d (*.f64 d (neg.f64 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (*.f64 -1 d)))))
(neg.f64 (.f64 (.f64 a a) (*.f64 d d)))
(.f64 (.f64 d d) (neg.f64 (*.f64 a a)))
(.f64 d (.f64 d (*.f64 a (neg.f64 a))))
(.f64 a (.f64 d (*.f64 d (neg.f64 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 a a) (*.f64 c c))
(.f64 c (.f64 c (*.f64 a a)))
(+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d)))))
(.f64 (.f64 a a) (*.f64 c c))
(.f64 c (.f64 c (*.f64 a a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 a a) (*.f64 c c))
(.f64 c (.f64 c (*.f64 a a)))
(+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d)))))
(.f64 (.f64 a a) (*.f64 c c))
(.f64 c (.f64 c (*.f64 a a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 d 2))) (+.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 c (.f64 (pow.f64 a 2) (+.f64 d (.f64 -1 d))))))
(.f64 (+.f64 c d) (.f64 (*.f64 a a) (-.f64 c d)))
(.f64 (+.f64 c d) (.f64 a (*.f64 a (-.f64 c d))))
(/.f64 -1 (*.f64 a d))
(/.f64 -1 (*.f64 d a))
(/.f64 (/.f64 -1 a) d)
(-.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (/.f64 1 (*.f64 a d)))
(-.f64 (/.f64 (neg.f64 c) (.f64 a (.f64 d d))) (/.f64 1 (*.f64 d a)))
(fma.f64 -1 (/.f64 c (.f64 d (.f64 d a))) (/.f64 -1 (*.f64 d a)))
(-.f64 (/.f64 (/.f64 -1 a) d) (/.f64 c (.f64 d (.f64 d a))))
(*.f64 (+.f64 (/.f64 c d) 1) (/.f64 (/.f64 -1 a) d))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3))))) (/.f64 1 (*.f64 a d)))
(-.f64 (.f64 -1 (+.f64 (/.f64 c (.f64 a (.f64 d d))) (/.f64 (.f64 c c) (.f64 a (pow.f64 d 3))))) (/.f64 1 (.f64 d a)))
(fma.f64 -1 (+.f64 (/.f64 c (.f64 d (.f64 d a))) (.f64 (/.f64 c a) (/.f64 c (pow.f64 d 3)))) (/.f64 -1 (.f64 d a)))
(+.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 -1 (.f64 d d)) (/.f64 c (pow.f64 d 3)))) (/.f64 (/.f64 -1 a) d))
(+.f64 (.f64 (/.f64 c (.f64 a (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 (/.f64 -1 a) d))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3)))) (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 a d)))
(-.f64 (fma.f64 -1 (/.f64 c (.f64 a (.f64 d d))) (.f64 -1 (+.f64 (/.f64 (.f64 c c) (.f64 a (pow.f64 d 3))) (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 d a)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 c c)) (.f64 a (pow.f64 d 3))) (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))) (/.f64 c (.f64 d (.f64 d a)))) (/.f64 -1 (.f64 d a)))
(-.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 -1 (.f64 d d)) (/.f64 c (pow.f64 d 3)))) (-.f64 (/.f64 (pow.f64 c 3) (*.f64 a (pow.f64 d 4))) (/.f64 (/.f64 -1 a) d)))
(+.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 (/.f64 -1 d) d) (.f64 (+.f64 (/.f64 c d) 1) (/.f64 c (pow.f64 d 3))))) (/.f64 (/.f64 -1 a) d))
(/.f64 1 (*.f64 c a))
(/.f64 (/.f64 1 c) a)
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 (pow.f64 c 2) a)))
(+.f64 (/.f64 (/.f64 1 c) a) (/.f64 d (.f64 a (.f64 c c))))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 c (*.f64 c a))))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 (/.f64 d (.f64 c c)) a))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (*.f64 (pow.f64 c 2) a))))
(+.f64 (/.f64 (/.f64 1 c) a) (+.f64 (/.f64 d (.f64 a (.f64 c c))) (/.f64 (.f64 d d) (.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 d (.f64 c (.f64 c a))) (/.f64 (.f64 d d) (*.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (fma.f64 (/.f64 d a) (/.f64 d (pow.f64 c 3)) (/.f64 d (.f64 c (*.f64 c a)))))
(+.f64 (/.f64 1 (.f64 c a)) (.f64 (+.f64 (/.f64 d c) 1) (/.f64 (/.f64 d (*.f64 c c)) a)))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 4) a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (.f64 (pow.f64 c 2) a)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 c) a) (/.f64 (pow.f64 d 3) (.f64 a (pow.f64 c 4)))) (+.f64 (/.f64 d (.f64 a (.f64 c c))) (/.f64 (.f64 d d) (*.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (.f64 d d) (.f64 a (pow.f64 c 3))) (+.f64 (/.f64 d (.f64 c (.f64 c a))) (/.f64 (pow.f64 d 3) (.f64 a (pow.f64 c 4))))))
(+.f64 (+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 c (.f64 c a)))) (.f64 (/.f64 d a) (+.f64 (/.f64 d (pow.f64 c 3)) (/.f64 d (/.f64 (pow.f64 c 4) d)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (.f64 (+.f64 (/.f64 d c) 1) (/.f64 (/.f64 d (*.f64 c c)) a)) (/.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) a)))
(/.f64 1 (*.f64 c a))
(/.f64 (/.f64 1 c) a)
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 (pow.f64 c 2) a)))
(+.f64 (/.f64 (/.f64 1 c) a) (/.f64 d (.f64 a (.f64 c c))))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 c (*.f64 c a))))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 (/.f64 d (.f64 c c)) a))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (*.f64 (pow.f64 c 2) a))))
(+.f64 (/.f64 (/.f64 1 c) a) (+.f64 (/.f64 d (.f64 a (.f64 c c))) (/.f64 (.f64 d d) (.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 d (.f64 c (.f64 c a))) (/.f64 (.f64 d d) (*.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (fma.f64 (/.f64 d a) (/.f64 d (pow.f64 c 3)) (/.f64 d (.f64 c (*.f64 c a)))))
(+.f64 (/.f64 1 (.f64 c a)) (.f64 (+.f64 (/.f64 d c) 1) (/.f64 (/.f64 d (*.f64 c c)) a)))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 4) a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (.f64 (pow.f64 c 2) a)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 c) a) (/.f64 (pow.f64 d 3) (.f64 a (pow.f64 c 4)))) (+.f64 (/.f64 d (.f64 a (.f64 c c))) (/.f64 (.f64 d d) (*.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (.f64 d d) (.f64 a (pow.f64 c 3))) (+.f64 (/.f64 d (.f64 c (.f64 c a))) (/.f64 (pow.f64 d 3) (.f64 a (pow.f64 c 4))))))
(+.f64 (+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 c (.f64 c a)))) (.f64 (/.f64 d a) (+.f64 (/.f64 d (pow.f64 c 3)) (/.f64 d (/.f64 (pow.f64 c 4) d)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (.f64 (+.f64 (/.f64 d c) 1) (/.f64 (/.f64 d (*.f64 c c)) a)) (/.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) a)))
(/.f64 1 (*.f64 c a))
(/.f64 (/.f64 1 c) a)
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 (pow.f64 c 2) a)))
(+.f64 (/.f64 (/.f64 1 c) a) (/.f64 d (.f64 a (.f64 c c))))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 c (*.f64 c a))))
(+.f64 (/.f64 1 (.f64 c a)) (/.f64 (/.f64 d (.f64 c c)) a))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (*.f64 (pow.f64 c 2) a))))
(+.f64 (/.f64 (/.f64 1 c) a) (+.f64 (/.f64 d (.f64 a (.f64 c c))) (/.f64 (.f64 d d) (.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 d (.f64 c (.f64 c a))) (/.f64 (.f64 d d) (*.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (fma.f64 (/.f64 d a) (/.f64 d (pow.f64 c 3)) (/.f64 d (.f64 c (*.f64 c a)))))
(+.f64 (/.f64 1 (.f64 c a)) (.f64 (+.f64 (/.f64 d c) 1) (/.f64 (/.f64 d (*.f64 c c)) a)))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 4) a)) (+.f64 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 3) a)) (/.f64 d (.f64 (pow.f64 c 2) a)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 c) a) (/.f64 (pow.f64 d 3) (.f64 a (pow.f64 c 4)))) (+.f64 (/.f64 d (.f64 a (.f64 c c))) (/.f64 (.f64 d d) (*.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (/.f64 (.f64 d d) (.f64 a (pow.f64 c 3))) (+.f64 (/.f64 d (.f64 c (.f64 c a))) (/.f64 (pow.f64 d 3) (.f64 a (pow.f64 c 4))))))
(+.f64 (+.f64 (/.f64 1 (.f64 c a)) (/.f64 d (.f64 c (.f64 c a)))) (.f64 (/.f64 d a) (+.f64 (/.f64 d (pow.f64 c 3)) (/.f64 d (/.f64 (pow.f64 c 4) d)))))
(+.f64 (/.f64 1 (.f64 c a)) (+.f64 (.f64 (+.f64 (/.f64 d c) 1) (/.f64 (/.f64 d (*.f64 c c)) a)) (/.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) a)))
(/.f64 -1 (*.f64 a d))
(/.f64 -1 (*.f64 d a))
(/.f64 (/.f64 -1 a) d)
(-.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (/.f64 1 (*.f64 a d)))
(-.f64 (/.f64 (neg.f64 c) (.f64 a (.f64 d d))) (/.f64 1 (*.f64 d a)))
(fma.f64 -1 (/.f64 c (.f64 d (.f64 d a))) (/.f64 -1 (*.f64 d a)))
(-.f64 (/.f64 (/.f64 -1 a) d) (/.f64 c (.f64 d (.f64 d a))))
(*.f64 (+.f64 (/.f64 c d) 1) (/.f64 (/.f64 -1 a) d))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3))))) (/.f64 1 (*.f64 a d)))
(-.f64 (.f64 -1 (+.f64 (/.f64 c (.f64 a (.f64 d d))) (/.f64 (.f64 c c) (.f64 a (pow.f64 d 3))))) (/.f64 1 (.f64 d a)))
(fma.f64 -1 (+.f64 (/.f64 c (.f64 d (.f64 d a))) (.f64 (/.f64 c a) (/.f64 c (pow.f64 d 3)))) (/.f64 -1 (.f64 d a)))
(+.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 -1 (.f64 d d)) (/.f64 c (pow.f64 d 3)))) (/.f64 (/.f64 -1 a) d))
(+.f64 (.f64 (/.f64 c (.f64 a (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 (/.f64 -1 a) d))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3)))) (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 a d)))
(-.f64 (fma.f64 -1 (/.f64 c (.f64 a (.f64 d d))) (.f64 -1 (+.f64 (/.f64 (.f64 c c) (.f64 a (pow.f64 d 3))) (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 d a)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 c c)) (.f64 a (pow.f64 d 3))) (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))) (/.f64 c (.f64 d (.f64 d a)))) (/.f64 -1 (.f64 d a)))
(-.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 -1 (.f64 d d)) (/.f64 c (pow.f64 d 3)))) (-.f64 (/.f64 (pow.f64 c 3) (*.f64 a (pow.f64 d 4))) (/.f64 (/.f64 -1 a) d)))
(+.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 (/.f64 -1 d) d) (.f64 (+.f64 (/.f64 c d) 1) (/.f64 c (pow.f64 d 3))))) (/.f64 (/.f64 -1 a) d))
(/.f64 -1 (*.f64 a d))
(/.f64 -1 (*.f64 d a))
(/.f64 (/.f64 -1 a) d)
(-.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (/.f64 1 (*.f64 a d)))
(-.f64 (/.f64 (neg.f64 c) (.f64 a (.f64 d d))) (/.f64 1 (*.f64 d a)))
(fma.f64 -1 (/.f64 c (.f64 d (.f64 d a))) (/.f64 -1 (*.f64 d a)))
(-.f64 (/.f64 (/.f64 -1 a) d) (/.f64 c (.f64 d (.f64 d a))))
(*.f64 (+.f64 (/.f64 c d) 1) (/.f64 (/.f64 -1 a) d))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3))))) (/.f64 1 (*.f64 a d)))
(-.f64 (.f64 -1 (+.f64 (/.f64 c (.f64 a (.f64 d d))) (/.f64 (.f64 c c) (.f64 a (pow.f64 d 3))))) (/.f64 1 (.f64 d a)))
(fma.f64 -1 (+.f64 (/.f64 c (.f64 d (.f64 d a))) (.f64 (/.f64 c a) (/.f64 c (pow.f64 d 3)))) (/.f64 -1 (.f64 d a)))
(+.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 -1 (.f64 d d)) (/.f64 c (pow.f64 d 3)))) (/.f64 (/.f64 -1 a) d))
(+.f64 (.f64 (/.f64 c (.f64 a (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 (/.f64 -1 a) d))
(-.f64 (+.f64 (.f64 -1 (/.f64 c (.f64 a (pow.f64 d 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a (pow.f64 d 3)))) (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 a d)))
(-.f64 (fma.f64 -1 (/.f64 c (.f64 a (.f64 d d))) (.f64 -1 (+.f64 (/.f64 (.f64 c c) (.f64 a (pow.f64 d 3))) (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))))) (/.f64 1 (*.f64 d a)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 c c)) (.f64 a (pow.f64 d 3))) (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 4)))) (/.f64 c (.f64 d (.f64 d a)))) (/.f64 -1 (.f64 d a)))
(-.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 -1 (.f64 d d)) (/.f64 c (pow.f64 d 3)))) (-.f64 (/.f64 (pow.f64 c 3) (*.f64 a (pow.f64 d 4))) (/.f64 (/.f64 -1 a) d)))
(+.f64 (.f64 (/.f64 c a) (-.f64 (/.f64 (/.f64 -1 d) d) (.f64 (+.f64 (/.f64 c d) 1) (/.f64 c (pow.f64 d 3))))) (/.f64 (/.f64 -1 a) d))
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)

localize7.0ms (0.2%)

Compiler: Compiled 16 to 6 computations (62.5% saved)

eval69.0ms (2.2%)

Compiler: Compiled 3175 to 973 computations (69.4% saved)

prune41.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	166	7	173

Error

Counts

173 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(*.f64 a (+.f64 c d))
	9.1b	(.f64 (.f64 a (.f64 d (.f64 d (neg.f64 a)))) (/.f64 1 (*.f64 a (-.f64 c d))))
✓	4.2b	(*.f64 d a)
	0.6b	(/.f64 (.f64 (+.f64 d c) (.f64 a a)) (/.f64 (*.f64 a (-.f64 c d)) (-.f64 c d)))
✓	0.2b	(+.f64 (.f64 c a) (.f64 a d))
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 90 to 56 computations (37.8% saved)

regimes111.0ms (3.6%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(.f64 (.f64 a (.f64 d (.f64 d (neg.f64 a)))) (/.f64 1 (*.f64 a (-.f64 c d))))
(/.f64 (.f64 (+.f64 d c) (.f64 a a)) (/.f64 (*.f64 a (-.f64 c d)) (-.f64 c d)))
(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))
(fma.f64 d a (*.f64 c a))
(fma.f64 (+.f64 b d) a (*.f64 a c))

Outputs
(fma.f64 (+.f64 b d) a (*.f64 a c))

Calls

8 calls:

44.0ms	(+.f64 (+.f64 b c) d)
23.0ms	d
7.0ms	b
7.0ms	(+.f64 b c)
7.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`d`
0.0b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.0b	1	`(+.f64 (+.f64 b c) d)`
0.0b	1	`(+.f64 b c)`
0.0b	1	`(+.f64 b c)`

Compiler

Compiled 162 to 80 computations (50.6% saved)

regimes56.0ms (1.8%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(.f64 (.f64 a (.f64 d (.f64 d (neg.f64 a)))) (/.f64 1 (*.f64 a (-.f64 c d))))
(/.f64 (.f64 (+.f64 d c) (.f64 a a)) (/.f64 (*.f64 a (-.f64 c d)) (-.f64 c d)))
(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))
(fma.f64 d a (*.f64 c a))

Outputs
(*.f64 a (+.f64 c (+.f64 b d)))

Calls

8 calls:

7.0ms	d
7.0ms	b
7.0ms	(+.f64 b c)
7.0ms	(+.f64 (+.f64 b c) d)
6.0ms	(+.f64 b c)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`d`
0.0b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.0b	1	`(+.f64 (+.f64 b c) d)`
0.0b	1	`(+.f64 b c)`
0.0b	1	`(+.f64 b c)`

Compiler

Compiled 154 to 78 computations (49.4% saved)

regimes16.0ms (0.5%)

Accuracy

Total -4.0b remaining (-2383.2%)

Threshold costs -4.0b (-2383.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))

Outputs
(*.f64 a (+.f64 c d))

Calls

4 calls:

4.0ms	c
4.0ms	a
4.0ms	b
4.0ms	d

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`c`
0.2b	1	`d`

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	20	32

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 b d) a (*.f64 a c))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 c d))
(*.f64 d a)

Outputs
(fma.f64 (+.f64 b d) a (*.f64 a c))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 d a)

Compiler

Compiled 39 to 25 computations (35.9% saved)

soundness9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
10×	`distribute-lft-in_binary64`
10×	`distribute-rgt-in_binary64`
7×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	45	10
3	85	10
4	104	10

Stop Event

1×

saturated

Compiler

Compiled 33 to 21 computations (36.4% saved)

end44.0ms (1.4%)

Compiler: Compiled 51 to 26 computations (49% saved)

Details

analyze1.0ms (0%)

sample1.5s (48.4%)

preprocess21.0ms (0.7%)

simplify35.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series11.0ms (0.3%)

rewrite71.0ms (2.3%)

simplify120.0ms (3.9%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite59.0ms (1.9%)

simplify16.0ms (0.5%)

eval46.0ms (1.5%)

prune76.0ms (2.5%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite53.0ms (1.7%)

simplify41.0ms (1.3%)

localize4.0ms (0.1%)

localize9.0ms (0.3%)

series11.0ms (0.4%)

rewrite71.0ms (2.3%)

simplify60.0ms (1.9%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite56.0ms (1.8%)

simplify56.0ms (1.8%)

eval36.0ms (1.2%)

prune33.0ms (1.1%)

localize7.0ms (0.2%)

series11.0ms (0.4%)

rewrite51.0ms (1.6%)

simplify24.0ms (0.8%)

eval9.0ms (0.3%)

prune10.0ms (0.3%)

localize18.0ms (0.6%)

series21.0ms (0.7%)

rewrite91.0ms (2.9%)

simplify70.0ms (2.3%)

localize7.0ms (0.2%)

eval69.0ms (2.2%)

prune41.0ms (1.3%)

regimes111.0ms (3.6%)

regimes56.0ms (1.8%)

regimes16.0ms (0.5%)

simplify4.0ms (0.1%)

soundness9.0ms (0.3%)

end44.0ms (1.4%)

Profiling