Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.7s (40.6%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess51.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3
1

Call 2

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

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

Symmetry

(sort b c d)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series7.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite68.0ms (1.6%)

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)))))))

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

112 → 76

Calls

Call 1

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

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

eval14.0ms (0.3%)

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

prune13.0ms (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
▶	0.0b	(fma.f64 d a (*.f64 a (+.f64 b c)))
▶	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.1b	(*.f64 a (+.f64 c d))
▶	3.2b	(*.f64 d a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (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	c	@	0	(*.f64 a (+.f64 c d))

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

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))))))

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

60 → 30

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series9.0ms (0.2%)

Counts

1 → 39

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
1.0ms	a	@	inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
1.0ms	d	@	0	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
1.0ms	a	@	0	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
0.0ms	b	@	-inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

rewrite63.0ms (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))))))

simplify52.0ms (1.2%)

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)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series9.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

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

rewrite204.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`pow1_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	174	17
2	2484	17

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

393×	`fma-neg_binary64`
378×	`fma-def_binary64`
122×	`distribute-rgt-in_binary64`
103×	`distribute-lft-in_binary64`
93×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	670
1	79	669
2	202	669
3	488	669
4	1303	669
5	1837	669
6	2105	669
7	2110	669

Stop Event

1×

saturated

Counts

133 → 65

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

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

eval51.0ms (1.2%)

Compiler: Compiled 2300 to 635 computations (72.4% saved)

prune33.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	184	6	190

Error

Counts

190 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	5.6b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a c) (.f64 a d)))
▶	0.1b	(+.f64 (.f64 c a) (.f64 a d))
✓	0.1b	(*.f64 a (+.f64 c d))
▶	0.1b	(fma.f64 d a (*.f64 c a))
✓	3.2b	(*.f64 d a)

Compiler

Compiled 75 to 42 computations (44% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite117.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.6%)

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)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 a c) (.f64 a d))
✓	0.3b	(.f64 (.f64 a c) (*.f64 a c))
✓	0.5b	(.f64 (.f64 a d) (*.f64 a d))
✓	5.8b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a c) (.f64 a d)))

Compiler

Compiled 72 to 11 computations (84.7% saved)

series39.0ms (0.9%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
19.0ms	a	@	0	(.f64 (.f64 a c) (*.f64 a c))
5.0ms	c	@	0	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a c) (.f64 a d)))
2.0ms	a	@	0	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a c) (.f64 a d)))
1.0ms	a	@	inf	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a c) (.f64 a d)))
1.0ms	d	@	0	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a c) (.f64 a d)))

rewrite108.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`log-prod_binary64`
539×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`
202×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	277	28
2	4674	28

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

Outputs
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(sqrt.f64 a) (sqrt.f64 (.f64 c (.f64 a c))) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) a) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) a) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (-.f64 c d))) (sqrt.f64 (.f64 a (-.f64 c d))) (fma.f64 (neg.f64 d) a (.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a c) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a c) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (.f64 a c))) (sqrt.f64 c) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (.f64 a c))) (sqrt.f64 c) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))))

simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
700×	`times-frac_binary64`
354×	`distribute-frac-neg_binary64`
339×	`associate-/l*_binary64`
332×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	1314
1	82	1314
2	217	1314
3	906	1044
4	5137	954

Stop Event

1×	node limit

Counts

352 → 247

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1414	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	264
1	34	234
2	79	234
3	207	234
4	431	234
5	564	234
6	674	234
7	679	234

Stop Event

1×

saturated

Counts

58 → 29

Calls

Call 1

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

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

eval72.0ms (1.7%)

Compiler: Compiled 7292 to 1725 computations (76.3% saved)

prune56.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	318	3	321
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	320	7	327

Error

Counts

327 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 a (+.f64 c d))
▶	5.7b	(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))
▶	6.6b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 a (.f64 a (.f64 d d)))) (-.f64 (.f64 a c) (.f64 a d)))
▶	5.5b	(/.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (.f64 a (-.f64 c d)))
✓	0.1b	(+.f64 (.f64 c a) (.f64 a d))
✓	3.2b	(*.f64 d a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 109 to 60 computations (45% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (-.f64 c d))
✓	0.3b	(/.f64 1 (*.f64 a (-.f64 c d)))
✓	0.4b	(.f64 (.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))
✓	5.7b	(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))

Compiler

Compiled 61 to 15 computations (75.4% saved)

series19.0ms (0.4%)

Counts

4 → 120

Calls

36 calls:

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

rewrite88.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	273	40
2	4227	40

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

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

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

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1641
1	248	1626
2	862	1527
3	3782	1470

Stop Event

1×	node limit

Counts

308 → 227

Calls

Call 1

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (+.f64 d c))
	0.0b	(*.f64 a (-.f64 c d))
	0.4b	(.f64 (.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))
✓	5.8b	(/.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (.f64 a (-.f64 c d)))

Compiler

Compiled 51 to 10 computations (80.4% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite106.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log-prod_binary64`
415×	`fma-def_binary64`
228×	`pow1/3_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	240	14
2	4242	14

Stop Event

1×	node limit

Counts

2 → 213

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.8%)

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	468
1	16	468
2	18	468

Stop Event

1×

saturated

Counts

285 → 159

Calls

Call 1

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

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

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 a c) (*.f64 a c))
✓	0.4b	(.f64 a (.f64 a (*.f64 d d)))
✓	0.5b	(.f64 a (.f64 d d))
✓	5.8b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 a (.f64 a (.f64 d d)))) (-.f64 (.f64 a c) (.f64 a d)))

Compiler

Compiled 80 to 13 computations (83.8% saved)

series9.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite91.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`fma-neg_binary64`
281×	`pow1/3_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`
258×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	318	21
2	5117	21

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

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

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

500×	`associate-l_binary64`
484×	`unswap-sqr_binary64`
416×	`associate-r_binary64`
388×	`times-frac_binary64`
315×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	1002
1	65	1002
2	164	1002
3	737	732
4	5255	642

Stop Event

1×	node limit

Counts

203 → 130

Calls

Call 1

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

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

eval154.0ms (3.6%)

Compiler: Compiled 16131 to 3642 computations (77.4% saved)

prune130.0ms (3.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	757	3	760
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	760	7	767

Error

Counts

767 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	7.4b	(.f64 (.f64 d (.f64 (.f64 a a) (neg.f64 d))) (/.f64 1 (*.f64 a (-.f64 c d))))
	7.4b	(/.f64 (.f64 d (.f64 (.f64 a a) (neg.f64 d))) (.f64 a (-.f64 c d)))
✓	0.1b	(+.f64 (.f64 c a) (.f64 a d))
	0.5b	(/.f64 (.f64 (+.f64 d c) (.f64 a a)) (/.f64 (*.f64 a (-.f64 c d)) (-.f64 c d)))
✓	0.1b	(*.f64 a (+.f64 c d))
✓	3.2b	(*.f64 d a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 97 to 60 computations (38.1% saved)

regimes101.0ms (2.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

7 calls:

45.0ms	d
13.0ms	b
9.0ms	(+.f64 b c)
8.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
8.0ms	(+.f64 (+.f64 b c) d)

Results

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

Compiler

Compiled 225 to 84 computations (62.7% saved)

regimes85.0ms (2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

32.0ms	d
9.0ms	(+.f64 b c)
8.0ms	b
8.0ms	a
8.0ms	(+.f64 (+.f64 b c) d)

Results

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

Compiler

Compiled 217 to 82 computations (62.2% saved)

regimes17.0ms (0.4%)

Accuracy

Total -3.1b remaining (-3521.7%)

Threshold costs -3.1b (-3521.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	b
4.0ms	c
4.0ms	d
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 39 to 26 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	20	32

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 39 to 25 computations (35.9% saved)

soundness0.0ms (0%)

end70.0ms (1.6%)

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

Details

analyze0.0ms (0%)

sample1.7s (40.6%)

preprocess51.0ms (1.2%)

simplify8.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series7.0ms (0.2%)

rewrite68.0ms (1.6%)

simplify23.0ms (0.5%)

eval14.0ms (0.3%)

prune13.0ms (0.3%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite71.0ms (1.7%)

simplify12.0ms (0.3%)

localize4.0ms (0.1%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite63.0ms (1.5%)

simplify52.0ms (1.2%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite204.0ms (4.8%)

simplify72.0ms (1.7%)

eval51.0ms (1.2%)

prune33.0ms (0.8%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite117.0ms (2.8%)

simplify24.0ms (0.6%)

localize16.0ms (0.4%)

series39.0ms (0.9%)

rewrite108.0ms (2.5%)

simplify79.0ms (1.9%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite46.0ms (1.1%)

simplify30.0ms (0.7%)

eval72.0ms (1.7%)

prune56.0ms (1.3%)

localize17.0ms (0.4%)

series19.0ms (0.4%)

rewrite88.0ms (2.1%)

simplify75.0ms (1.8%)

localize13.0ms (0.3%)

series6.0ms (0.1%)

rewrite106.0ms (2.5%)

simplify34.0ms (0.8%)

localize24.0ms (0.6%)

series9.0ms (0.2%)

rewrite91.0ms (2.1%)

simplify74.0ms (1.7%)

eval154.0ms (3.6%)

prune130.0ms (3.1%)

regimes101.0ms (2.4%)

regimes85.0ms (2%)

regimes17.0ms (0.4%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end70.0ms (1.6%)

Profiling