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)

sample2.1s (41.5%)

Results

2.1s

8256×

body

256

valid

preprocess21.0ms (0.4%)

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)

prune4.0ms (0.1%)

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 (0.1%)

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)

series8.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite68.0ms (1.4%)

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 (0.3%)

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)

eval14.0ms (0.3%)

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

prune15.0ms (0.3%)

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
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	0.1b	(*.f64 a (+.f64 c d))
▶	4.2b	(*.f64 d a)
▶	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0b	(fma.f64 d a (*.f64 a (+.f64 b c)))

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize6.0ms (0.1%)

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))

rewrite64.0ms (1.3%)

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))))))

simplify18.0ms (0.4%)

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)

localize7.0ms (0.1%)

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

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series14.0ms (0.3%)

Counts

1 → 39

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
2.0ms	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))

rewrite77.0ms (1.5%)

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	10
1	200	10
2	2939	10

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

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

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

393×	`fma-neg_binary64`
373×	`fma-def_binary64`
115×	`distribute-rgt-in_binary64`
96×	`distribute-lft-in_binary64`
93×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	407
1	66	345
2	190	345
3	517	345
4	1280	345
5	1801	345
6	2078	345
7	2083	345

Stop Event

1×

saturated

Counts

114 → 90

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)

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

localize15.0ms (0.3%)

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)

series7.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (1.2%)

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))))))

simplify19.0ms (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))

eval52.0ms (1%)

Compiler: Compiled 1901 to 552 computations (71% saved)

prune42.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	148	6	154

Error

Counts

154 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(*.f64 a (+.f64 c d))
▶	0.1b	(+.f64 (.f64 c a) (.f64 a d))
▶	0.1b	(fma.f64 d a (*.f64 c a))
✓	4.2b	(*.f64 d a)
▶	8.3b	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))

Compiler

Compiled 65 to 41 computations (36.9% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite85.0ms (1.7%)

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))))))

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 45

Calls

Call 1

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

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

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 c c) (.f64 d d))
✓	0.5b	(.f64 (-.f64 (.f64 c c) (*.f64 d d)) a)
✓	7.9b	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))

Compiler

Compiled 45 to 10 computations (77.8% saved)

series25.0ms (0.5%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))
3.0ms	a	@	0	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))
2.0ms	c	@	0	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))
1.0ms	c	@	inf	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))
1.0ms	d	@	0	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))

rewrite139.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`prod-diff_binary64`
629×	`log-prod_binary64`
567×	`fma-def_binary64`
225×	`fma-neg_binary64`
212×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	233	30
2	3589	30

Stop Event

1×	node limit

Counts

3 → 323

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 c d) a))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 c d) a))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 c d) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 c d) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 c d) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 c d) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (/.f64 (-.f64 c d) a)) (/.f64 (*.f64 d d) (/.f64 (-.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (*.f64 a (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (/.f64 1 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 c d) a)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 c d) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 c d) a)) 2) (cbrt.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 c d) a)) (sqrt.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (neg.f64 a)) (/.f64 1 (neg.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 c d)) (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c d) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 1) (/.f64 a (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) 1) (/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (/.f64 a (cbrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (/.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (cbrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (cbrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 2)) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (cbrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (sqrt.f64 (-.f64 c d))) (/.f64 a (sqrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (-.f64 c d))) (/.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (sqrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 c d))) (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (sqrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 2)) (sqrt.f64 (-.f64 c d))) (/.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (sqrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (*.f64 (-.f64 c d) (+.f64 c d))) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (-.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 pow.f64 (*.f64 (+.f64 c d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 c d) a) 3) 1/3)))) (#(struct:change 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(neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (*.f64 d (neg.f64 d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 d (neg.f64 d))) (cbrt.f64 (*.f64 d (neg.f64 d)))) (cbrt.f64 (*.f64 d (neg.f64 d))) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 d (neg.f64 d) (*.f64 d d))) (cbrt.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)))) (cbrt.f64 (fma.f64 d (neg.f64 d) (*.f64 d d))) (*.f64 (-.f64 c d) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) (sqrt.f64 (*.f64 d (neg.f64 d))) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) d) (hypot.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) d) (*.f64 (-.f64 c d) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 d 4))) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 d) 1) d (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 d) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 d) (sqrt.f64 d)) (sqrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 (*.f64 d (neg.f64 d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (fma.f64 d (neg.f64 d) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 d (neg.f64 d) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))))))

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

815×	`div-sub_binary64`
634×	`associate-l_binary64`
449×	`times-frac_binary64`
442×	`associate-r_binary64`
422×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	1164
1	52	1026
2	105	1026
3	267	1026
4	1094	918
5	6205	918

Stop Event

1×	node limit

Counts

419 → 344

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

eval149.0ms (3%)

Compiler: Compiled 8701 to 2225 computations (74.4% saved)

prune129.0ms (2.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	387	2	389
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	387	8	395

Error

Counts

395 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.8b	(/.f64 (.f64 (.f64 d (neg.f64 d)) a) (-.f64 c d))
✓	0.1b	(+.f64 (.f64 c a) (.f64 a d))
▶	8.3b	(.f64 (.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))
✓	8.3b	(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 d d)) a) (-.f64 c d))
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(*.f64 a (+.f64 c d))
✓	0.1b	(fma.f64 d a (*.f64 c a))
✓	4.2b	(*.f64 d a)

Compiler

Compiled 98 to 61 computations (37.8% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 c d) (+.f64 c d))
✓	0.0b	(/.f64 (-.f64 c d) a)
✓	0.3b	(/.f64 1 (/.f64 (-.f64 c d) a))
✓	8.2b	(.f64 (.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))

Compiler

Compiled 48 to 14 computations (70.8% saved)

series29.0ms (0.6%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	d	@	0	(/.f64 (-.f64 c d) a)
1.0ms	d	@	inf	(.f64 (.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))
1.0ms	d	@	inf	(/.f64 1 (/.f64 (-.f64 c d) a))
1.0ms	c	@	0	(/.f64 1 (/.f64 (-.f64 c d) a))
1.0ms	c	@	inf	(/.f64 1 (/.f64 (-.f64 c d) a))

rewrite231.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`prod-diff_binary64`
391×	`fma-def_binary64`
224×	`log-div_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	254	31
2	4056	31

Stop Event

1×	node limit

Counts

4 → 397

Calls

Call 1

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

Outputs
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(.f64 (-.f64 c d) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 d (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 c d) (sqrt.f64 c)) (sqrt.f64 c) (.f64 d (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 d (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (.f64 c (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 d (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (.f64 c (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 c d) (pow.f64 (cbrt.f64 (+.f64 c d)) 2)) (cbrt.f64 (+.f64 c d)) (fma.f64 (neg.f64 d) d (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 c d) (sqrt.f64 (+.f64 c d))) (sqrt.f64 (+.f64 c d)) (fma.f64 (neg.f64 d) d (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (fma.f64 (neg.f64 d) d (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 (neg.f64 d) d (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 c d) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (.f64 c (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 c d) (sqrt.f64 d)) (sqrt.f64 d) (*.f64 c (-.f64 c d)))))))

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
433×	`associate-/r/_binary64`
428×	`associate-/l/_binary64`
278×	`distribute-rgt-in_binary64`
270×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1476
1	209	1314
2	691	1209
3	2571	1173

Stop Event

1×	node limit

Counts

517 → 436

Calls

Call 1

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

Outputs
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 c a) (.f64 a d))
(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 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 a d)
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 c a) (.f64 a d))
(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 (+.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 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d))
(*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d)) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))))
(-.f64 (.f64 (.f64 a (/.f64 c (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d)) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c)))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(-.f64 (.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (.f64 a (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(fma.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)) (.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))) (-.f64 -1 (/.f64 c d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 a d) (.f64 c c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a c) (/.f64 d c)))
(*.f64 (+.f64 (/.f64 d c) 1) (/.f64 a c))
(*.f64 (/.f64 a c) (+.f64 1 (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 a d) (.f64 c c))) (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)))
(+.f64 (+.f64 (/.f64 a c) (.f64 (/.f64 a c) (/.f64 d c))) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 a (.f64 c c)) (+.f64 (/.f64 d (/.f64 c d)) d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (+.f64 a (/.f64 d (/.f64 c a)))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (+.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 (/.f64 a c) (/.f64 d c)) (+.f64 (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))))
(+.f64 (/.f64 a c) (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (.f64 (/.f64 a (.f64 c c)) (+.f64 (/.f64 d (/.f64 c d)) d))))
(+.f64 (/.f64 a c) (.f64 (/.f64 a (.f64 c c)) (+.f64 d (.f64 (+.f64 1 (/.f64 d c)) (.f64 (/.f64 d c) d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 a d) (.f64 c c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a c) (/.f64 d c)))
(*.f64 (+.f64 (/.f64 d c) 1) (/.f64 a c))
(*.f64 (/.f64 a c) (+.f64 1 (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 a d) (.f64 c c))) (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)))
(+.f64 (+.f64 (/.f64 a c) (.f64 (/.f64 a c) (/.f64 d c))) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 a (.f64 c c)) (+.f64 (/.f64 d (/.f64 c d)) d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (+.f64 a (/.f64 d (/.f64 c a)))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (+.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 (/.f64 a c) (/.f64 d c)) (+.f64 (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))))
(+.f64 (/.f64 a c) (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (.f64 (/.f64 a (.f64 c c)) (+.f64 (/.f64 d (/.f64 c d)) d))))
(+.f64 (/.f64 a c) (.f64 (/.f64 a (.f64 c c)) (+.f64 d (.f64 (+.f64 1 (/.f64 d c)) (.f64 (/.f64 d c) d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 a d) (.f64 c c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a c) (/.f64 d c)))
(*.f64 (+.f64 (/.f64 d c) 1) (/.f64 a c))
(*.f64 (/.f64 a c) (+.f64 1 (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 a d) (.f64 c c))) (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)))
(+.f64 (+.f64 (/.f64 a c) (.f64 (/.f64 a c) (/.f64 d c))) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 a (.f64 c c)) (+.f64 (/.f64 d (/.f64 c d)) d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (+.f64 a (/.f64 d (/.f64 c a)))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (+.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 (/.f64 a c) (/.f64 d c)) (+.f64 (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))))
(+.f64 (/.f64 a c) (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (.f64 (/.f64 a (.f64 c c)) (+.f64 (/.f64 d (/.f64 c d)) d))))
(+.f64 (/.f64 a c) (.f64 (/.f64 a (.f64 c c)) (+.f64 d (.f64 (+.f64 1 (/.f64 d c)) (.f64 (/.f64 d c) d)))))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d))
(*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d)) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))))
(-.f64 (.f64 (.f64 a (/.f64 c (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d)) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c)))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(-.f64 (.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (.f64 a (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(fma.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)) (.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))) (-.f64 -1 (/.f64 c d))))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d))
(*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d)) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))))
(-.f64 (.f64 (.f64 a (/.f64 c (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (.f64 -1 (+.f64 (/.f64 a d) (/.f64 c (/.f64 (.f64 d d) a))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 d d)) (/.f64 a d)) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c)))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(-.f64 (.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (.f64 a (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(fma.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)) (.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))) (-.f64 -1 (/.f64 c d))))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(*.f64 -1 (/.f64 d a))
(/.f64 (neg.f64 d) a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(*.f64 -1 (/.f64 d a))
(/.f64 (neg.f64 d) a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(*.f64 -1 (/.f64 d a))
(/.f64 (neg.f64 d) a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(*.f64 -1 (pow.f64 d 2))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (.f64 c (+.f64 d (*.f64 -1 d))))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (.f64 c (+.f64 d (*.f64 -1 d))) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (.f64 c (+.f64 d (*.f64 -1 d))) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (.f64 c (+.f64 d (.f64 -1 d))) (pow.f64 c 2))
(*.f64 c c)
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (.f64 c (+.f64 d (*.f64 -1 d))) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (.f64 c (+.f64 d (*.f64 -1 d))) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (.f64 c (+.f64 d (.f64 -1 d))) (pow.f64 c 2))
(*.f64 c c)
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (.f64 c (+.f64 d (*.f64 -1 d))) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (.f64 c (+.f64 d (*.f64 -1 d))) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (.f64 d (+.f64 c (.f64 -1 c))) (pow.f64 c 2))
(*.f64 c c)
(+.f64 (.f64 d (+.f64 c (.f64 -1 c))) (+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(+.f64 (.f64 d (+.f64 c (.f64 -1 c))) (+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(*.f64 -1 (pow.f64 d 2))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (.f64 d (+.f64 c (.f64 -1 c))) (*.f64 -1 (pow.f64 d 2)))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (.f64 d (+.f64 c (.f64 -1 c))) (+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(+.f64 (.f64 d (+.f64 c (.f64 -1 c))) (+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2)))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(*.f64 -1 (pow.f64 d 2))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (.f64 -1 (.f64 d (+.f64 c (.f64 -1 c)))))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (pow.f64 c 2) (.f64 -1 (.f64 d (+.f64 c (.f64 -1 c))))))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))
(+.f64 (.f64 -1 (pow.f64 d 2)) (+.f64 (pow.f64 c 2) (.f64 -1 (.f64 d (+.f64 c (.f64 -1 c))))))
(fma.f64 -1 (.f64 d d) (fma.f64 c (.f64 0 d) (*.f64 c c)))
(-.f64 (.f64 c c) (.f64 d d))

localize129.0ms (2.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 d (neg.f64 d)) a)
✓	8.0b	(/.f64 (.f64 (.f64 d (neg.f64 d)) a) (-.f64 c d))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series8.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite228.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
438×	`prod-diff_binary64`
338×	`pow-prod-down_binary64`
238×	`pow2_binary64`
213×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	202	20
2	3165	20

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 d (neg.f64 d)) a) (-.f64 c d))
(.f64 (.f64 d (neg.f64 d)) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 (*.f64 d a) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d d) (/.f64 1 (/.f64 (+.f64 d c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d d) (*.f64 a (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (*.f64 d d) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (*.f64 d a)) (/.f64 1 (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (*.f64 d a)) (/.f64 1 (+.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4)) (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (*.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (sqrt.f64 a)) (*.f64 (*.f64 d (sqrt.f64 a)) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 d c)) (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 (*.f64 d a) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) 1) (/.f64 a (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 (*.f64 d d) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (sqrt.f64 a)) 1) (/.f64 (*.f64 d (sqrt.f64 a)) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d a) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 a (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d d) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) -2) (/.f64 (*.f64 d (*.f64 d a)) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (sqrt.f64 a)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d (sqrt.f64 a)) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d a) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))) (/.f64 a (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 d c) -1/2) (/.f64 (*.f64 d (*.f64 d a)) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (sqrt.f64 (+.f64 d c))) (/.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (*.f64 d a)) (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (+.f64 d c) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (*.f64 d a)) (pow.f64 (+.f64 d c) 2)) (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a))) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 d (*.f64 d a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d (*.f64 d a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 d (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 d (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 d (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d (*.f64 d a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 d (*.f64 d a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d (sqrt.f64 a))) 2))))))

simplify127.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-*l/_binary64`
495×	`associate-/r/_binary64`
413×	`associate-/l/_binary64`
350×	`div-sub_binary64`
349×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	1017
1	144	996
2	467	915
3	2236	864
4	7028	864

Stop Event

1×	node limit

Counts

143 → 102

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (+.f64 (.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (.f64 c a) (+.f64 (.f64 a d) (/.f64 (.f64 (pow.f64 c 2) a) d))))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (+.f64 (.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (.f64 c a) (+.f64 (.f64 a d) (/.f64 (.f64 (pow.f64 c 2) a) d))))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (+.f64 (.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (.f64 c a) (+.f64 (.f64 a d) (/.f64 (.f64 (pow.f64 c 2) a) d))))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(.f64 -1 (.f64 a (pow.f64 d 2)))

Outputs
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c))
(/.f64 (neg.f64 (.f64 a (.f64 d d))) c)
(/.f64 (.f64 (.f64 d d) (neg.f64 a)) c)
(.f64 (/.f64 a c) (.f64 d (neg.f64 d)))
(.f64 d (.f64 (/.f64 (neg.f64 a) c) d))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(.f64 -1 (+.f64 (/.f64 (.f64 a (.f64 d d)) c) (/.f64 (.f64 a (pow.f64 d 3)) (*.f64 c c))))
(-.f64 (/.f64 (.f64 (.f64 d d) (neg.f64 a)) c) (.f64 (/.f64 a (.f64 c c)) (pow.f64 d 3)))
(neg.f64 (.f64 (/.f64 a c) (+.f64 (/.f64 (pow.f64 d 3) c) (.f64 d d))))
(.f64 (.f64 d (/.f64 a (/.f64 c d))) (-.f64 -1 (/.f64 d c)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) c) (.f64 -1 (+.f64 (/.f64 (.f64 a (pow.f64 d 3)) (.f64 c c)) (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 d d) (neg.f64 a)) c) (.f64 (/.f64 a (.f64 c c)) (pow.f64 d 3))) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 4)))
(neg.f64 (fma.f64 (/.f64 a c) (.f64 d d) (.f64 (/.f64 a (*.f64 c c)) (+.f64 (pow.f64 d 3) (/.f64 (pow.f64 d 4) c)))))
(.f64 (/.f64 a c) (-.f64 (.f64 d (neg.f64 d)) (*.f64 (+.f64 (/.f64 d c) 1) (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) c)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 4)) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) c) (.f64 -1 (+.f64 (/.f64 (.f64 a (pow.f64 d 3)) (.f64 c c)) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
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(.f64 -1 (.f64 a (pow.f64 d 2)))
(neg.f64 (.f64 a (.f64 d d)))
(.f64 (.f64 d d) (neg.f64 a))
(.f64 d (.f64 d (neg.f64 a)))
(.f64 a (.f64 d (neg.f64 d)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(neg.f64 (.f64 a (.f64 d d)))
(.f64 (.f64 d d) (neg.f64 a))
(.f64 d (.f64 d (neg.f64 a)))
(.f64 a (.f64 d (neg.f64 d)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(neg.f64 (.f64 a (.f64 d d)))
(.f64 (.f64 d d) (neg.f64 a))
(.f64 d (.f64 d (neg.f64 a)))
(.f64 a (.f64 d (neg.f64 d)))
(.f64 -1 (.f64 a (pow.f64 d 2)))
(neg.f64 (.f64 a (.f64 d d)))
(.f64 (.f64 d d) (neg.f64 a))
(.f64 d (.f64 d (neg.f64 a)))
(.f64 a (.f64 d (neg.f64 d)))

eval199.0ms (4%)

Compiler: Compiled 15641 to 5109 computations (67.3% saved)

prune181.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	536	2	538
Fresh	0	0	0
Picked	1	0	1
Done	3	4	7
Total	540	6	546

Error

Counts

546 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(*.f64 a (+.f64 c d))
✓	0.1b	(+.f64 (.f64 c a) (.f64 a d))
	0.4b	(/.f64 (+.f64 c d) (/.f64 1 a))
✓	4.2b	(*.f64 d a)
	8.3b	(.f64 (.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 (/.f64 c a) (/.f64 d a))))

Compiler

Compiled 70 to 46 computations (34.3% saved)

regimes88.0ms (1.8%)

Counts

12 → 1

Calls

Call 1

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

18.0ms	d
14.0ms	c
13.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
12.0ms	(+.f64 b c)
10.0ms	b

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 158 to 77 computations (51.3% saved)

regimes99.0ms (2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

8 calls:

18.0ms	c
18.0ms	a
14.0ms	b
14.0ms	d
9.0ms	(+.f64 b c)

Results

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

Compiler

Compiled 157 to 80 computations (49% saved)

regimes38.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	d
6.0ms	(+.f64 b c)
4.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
4.0ms	b
4.0ms	(+.f64 (+.f64 b c) d)

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 80 to 50 computations (37.5% saved)

regimes20.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	c
4.0ms	d
4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`c`
0.1b	1	`d`

Compiler

Compiled 46 to 29 computations (37% saved)

regimes18.0ms (0.4%)

Accuracy

Total -4.4b remaining (-3040.8%)

Threshold costs -4.4b (-3040.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	c
4.0ms	d
4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`c`
0.1b	1	`d`

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify5.0ms (0.1%)

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%)

end51.0ms (1%)

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

Details

analyze0.0ms (0%)

sample2.1s (41.5%)

preprocess21.0ms (0.4%)

simplify8.0ms (0.2%)

eval1.0ms (0%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

series8.0ms (0.2%)

rewrite68.0ms (1.4%)

simplify16.0ms (0.3%)

eval14.0ms (0.3%)

prune15.0ms (0.3%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite64.0ms (1.3%)

simplify18.0ms (0.4%)

localize7.0ms (0.1%)

localize17.0ms (0.3%)

series14.0ms (0.3%)

rewrite77.0ms (1.5%)

simplify70.0ms (1.4%)

localize15.0ms (0.3%)

series7.0ms (0.2%)

rewrite61.0ms (1.2%)

simplify19.0ms (0.4%)

eval52.0ms (1%)

prune42.0ms (0.8%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite85.0ms (1.7%)

simplify37.0ms (0.8%)

localize22.0ms (0.4%)

series25.0ms (0.5%)

rewrite139.0ms (2.8%)

simplify76.0ms (1.5%)

localize7.0ms (0.1%)

eval149.0ms (3%)

prune129.0ms (2.6%)

localize25.0ms (0.5%)

series29.0ms (0.6%)

rewrite231.0ms (4.6%)

simplify122.0ms (2.4%)

localize129.0ms (2.6%)

series8.0ms (0.2%)

rewrite228.0ms (4.6%)

simplify127.0ms (2.5%)

eval199.0ms (4%)

prune181.0ms (3.6%)

regimes88.0ms (1.8%)

regimes99.0ms (2%)

regimes38.0ms (0.8%)

regimes20.0ms (0.4%)

regimes18.0ms (0.4%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end51.0ms (1%)

Profiling