Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.5s (44.2%)

Results

1.5s

8256×

body

256

valid

preprocess135.0ms (4%)

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)

simplify8.0ms (0.2%)

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

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite62.0ms (1.8%)

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)

eval37.0ms (1.1%)

Compiler: Compiled 915 to 248 computations (72.9% saved)

prune13.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Error

Counts

77 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 d a (*.f64 a (+.f64 b c)))
▶	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	0.4b	(*.f64 a (+.f64 c d))
▶	5.0b	(*.f64 d a)

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.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	@	inf	(*.f64 a (+.f64 c d))
1.0ms	a	@	0	(*.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))

rewrite72.0ms (2.1%)

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))))))

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))))))

simplify21.0ms (0.6%)

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)

localize9.0ms (0.3%)

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

localize21.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series20.0ms (0.6%)

Counts

2 → 63

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
3.0ms	a	@	inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
1.0ms	a	@	0	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
1.0ms	d	@	0	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
1.0ms	c	@	0	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

rewrite83.0ms (2.5%)

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))))))

simplify62.0ms (1.8%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (1.6%)

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 b c))

Outputs

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

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	17	234
2	20	234

Stop Event

1×

saturated

Counts

60 → 29

Calls

Call 1

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

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

eval65.0ms (1.9%)

Compiler: Compiled 2329 to 674 computations (71.1% saved)

prune43.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	180	6	186

Error

Counts

186 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.0b	(*.f64 d a)
▶	0.3b	(fma.f64 d a (*.f64 c a))
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.4b	(+.f64 (.f64 c a) (.f64 a d))
✓	0.4b	(*.f64 a (+.f64 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)

series4.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite50.0ms (1.5%)

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 (0.7%)

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)

localize6.0ms (0.2%)

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

eval10.0ms (0.3%)

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

prune9.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

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

Error

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.0b	(*.f64 d a)
✓	0.3b	(fma.f64 d a (*.f64 c a))
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	5.8b	(/.f64 1 (/.f64 (.f64 a (-.f64 c d)) (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d)))))
✓	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
✓	0.4b	(+.f64 (.f64 c a) (.f64 a d))
✓	0.4b	(*.f64 a (+.f64 c d))

Compiler

Compiled 84 to 51 computations (39.3% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 a (+.f64 d c))
✓	0.3b	(/.f64 1 (/.f64 (.f64 a (-.f64 c d)) (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d)))))
✓	0.4b	(.f64 (.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))
✓	5.8b	(/.f64 (.f64 a (-.f64 c d)) (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))))

Compiler

Compiled 71 to 13 computations (81.7% saved)

series20.0ms (0.6%)

Counts

4 → 144

Calls

36 calls:

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

rewrite140.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`log-prod_binary64`
422×	`fma-def_binary64`
260×	`log-div_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	281	73
2	4719	73

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

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

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

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
588×	`associate-/l/_binary64`
379×	`unswap-sqr_binary64`
328×	`times-frac_binary64`
312×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1782
1	243	1758
2	846	1722
3	3829	1686

Stop Event

1×	node limit

Counts

372 → 266

Calls

Call 1

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

eval115.0ms (3.4%)

Compiler: Compiled 6573 to 1647 computations (74.9% saved)

prune83.0ms (2.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	262	4	266
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	264	9	273

Error

Counts

273 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 1 (/.f64 1 (*.f64 a (+.f64 c d))))
✓	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
	6.9b	(/.f64 1 (/.f64 (.f64 a (-.f64 c d)) (.f64 (.f64 a a) (-.f64 (.f64 c c) (*.f64 d d)))))
	0.7b	(/.f64 1 (/.f64 (/.f64 1 a) (+.f64 c d)))
✓	0.4b	(+.f64 (.f64 c a) (.f64 a d))
✓	0.4b	(*.f64 a (+.f64 c d))
	0.4b	(.f64 (/.f64 1 (.f64 (/.f64 a a) (/.f64 (-.f64 c d) (+.f64 c d)))) (*.f64 a (-.f64 c d)))
✓	5.0b	(*.f64 d a)

Compiler

Compiled 123 to 80 computations (35% saved)

regimes158.0ms (4.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

104.0ms	d
10.0ms	b
8.0ms	(+.f64 b c)
8.0ms	(+.f64 (+.f64 b c) d)
8.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

Error	Segments	Branch
0b	1	`a`
0b	1	`b`
0b	1	`c`
0b	1	`d`
0b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0b	1	`(+.f64 (+.f64 b c) d)`
0b	1	`(+.f64 b c)`

Compiler

Compiled 171 to 84 computations (50.9% saved)

regimes172.0ms (5.1%)

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

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

Calls

8 calls:

87.0ms	a
34.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
11.0ms	c
7.0ms	(+.f64 (+.f64 b c) d)
7.0ms	(+.f64 b c)

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`c`
0.1b	1	`d`
0.1b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.1b	1	`(+.f64 (+.f64 b c) d)`
0.1b	1	`(+.f64 b c)`
0.1b	1	`(+.f64 b c)`

Compiler

Compiled 170 to 87 computations (48.8% saved)

regimes49.0ms (1.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

13.0ms	(+.f64 (+.f64 b c) d)
8.0ms	d
6.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
5.0ms	b
5.0ms	c

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`c`
0.1b	1	`d`
0.1b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.1b	1	`(+.f64 (+.f64 b c) d)`
0.1b	1	`(+.f64 b c)`

Compiler

Compiled 91 to 56 computations (38.5% saved)

regimes67.0ms (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 (.f64 c a) (.f64 a d))

Calls

4 calls:

41.0ms	a
9.0ms	c
8.0ms	b
7.0ms	d

Results

Error	Segments	Branch
0.4b	1	`a`
0.4b	1	`b`
0.4b	1	`c`
0.4b	1	`d`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes22.0ms (0.7%)

Accuracy

Total -4.7b remaining (-1292.7%)

Threshold costs -4.7b (-1292.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	d
6.0ms	c
4.0ms	a
3.0ms	b

Results

Error	Segments	Branch
0.4b	1	`a`
0.4b	1	`b`
0.4b	1	`c`
0.4b	1	`d`

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	30	55

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 63 to 40 computations (36.5% saved)

soundness0.0ms (0%)

end76.0ms (2.3%)

Compiler: Compiled 67 to 31 computations (53.7% saved)

Details

analyze0.0ms (0%)

sample1.5s (44.2%)

preprocess135.0ms (4%)

simplify8.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series6.0ms (0.2%)

rewrite62.0ms (1.8%)

simplify16.0ms (0.5%)

eval37.0ms (1.1%)

prune13.0ms (0.4%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite72.0ms (2.1%)

simplify21.0ms (0.6%)

localize9.0ms (0.3%)

localize21.0ms (0.6%)

series20.0ms (0.6%)

rewrite83.0ms (2.5%)

simplify62.0ms (1.8%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite54.0ms (1.6%)

simplify12.0ms (0.4%)

eval65.0ms (1.9%)

prune43.0ms (1.3%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite50.0ms (1.5%)

simplify24.0ms (0.7%)

localize6.0ms (0.2%)

eval10.0ms (0.3%)

prune9.0ms (0.3%)

localize16.0ms (0.5%)

series20.0ms (0.6%)

rewrite140.0ms (4.1%)

simplify81.0ms (2.4%)

eval115.0ms (3.4%)

prune83.0ms (2.4%)

regimes158.0ms (4.7%)

regimes172.0ms (5.1%)

regimes49.0ms (1.4%)

regimes67.0ms (2%)

regimes22.0ms (0.7%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end76.0ms (2.3%)

Profiling