Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.4s (48.3%)

Results

1.4s

8256×

body

256

valid

preprocess20.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

116×	`fma-def_binary64`
43×	`distribute-rgt-in_binary64`
39×	`distribute-lft-in_binary64`
25×	`*-commutative_binary64`
17×	`+-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 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)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	45	10
3	85	10
4	103	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)))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite54.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	10
2	2885	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)) (fma.f64 a (+.f64 b c) (neg.f64 (.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 log1p.f64 (expm1.f64 (.f64 a (+.f64 b (+.f64 c d)))))))) (#(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 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)))))) (#(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 (log.f64 (pow.f64 (.f64 a (+.f64 b (+.f64 c d))) 3)) 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))))))

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)) (fma.f64 a (+.f64 b c) (neg.f64 (*.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 log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(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 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)))))) (#(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 (log.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3)) 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))))))

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
8×	`+-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 (0.5%)

Compiler: Compiled 915 to 250 computations (72.7% saved)

prune12.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

Counts

77 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 a d (*.f64 a (+.f64 b c)))
▶	4.3b	(*.f64 d a)
▶	0.1b	(*.f64 a (+.f64 c d))
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	0.0b	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series11.0ms (0.4%)

Counts

2 → 63

Calls

21 calls:

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

rewrite63.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`fma-def_binary64`
560×	`log-prod_binary64`
456×	`pow-prod-down_binary64`
290×	`pow2_binary64`
273×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	206	17
2	3156	17

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

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

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simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

393×	`fma-neg_binary64`
378×	`fma-def_binary64`
120×	`distribute-rgt-in_binary64`
95×	`distribute-lft-in_binary64`
93×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	496
1	75	495
2	198	495
3	485	495
4	1236	495
5	1761	495
6	2037	495
7	2042	495

Stop Event

1×

saturated

Counts

202 → 155

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1975	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 log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 c d))))))))

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

60 → 30

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (1.5%)

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	1975	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

60 → 29

Calls

Call 1

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

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

eval42.0ms (1.5%)

Compiler: Compiled 2860 to 787 computations (72.5% saved)

prune35.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	211	3	214
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	213	6	219

Error

Counts

219 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 a (+.f64 c d))
▶	0.1b	(+.f64 (.f64 a d) (.f64 c a))
✓	4.3b	(*.f64 d a)
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	0.1b	(fma.f64 a d (*.f64 c a))
▶	5.5b	(/.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 75 to 42 computations (44% saved)

localize17.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f64 (.f64 a d) (*.f64 a d))
	0.3b	(.f64 (.f64 a c) (*.f64 a c))
	0.1b	(-.f64 (.f64 a c) (.f64 a d))
	0.0b	(-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d)))
✓	0.1b	(-.f64 (.f64 a c) (.f64 a d))
✓	0.3b	(.f64 (.f64 a c) (*.f64 a c))
✓	0.4b	(.f64 (.f64 a d) (*.f64 a d))
✓	5.7b	(/.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)

series21.0ms (0.7%)

Counts

4 → 120

Calls

30 calls:

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

rewrite97.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`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	4657	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
((#(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 (pow.f64 (.f64 a c) 2) (.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 0 (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 a (+.f64 c d)))) (cbrt.f64 (exp.f64 (.f64 a (+.f64 c d)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 a (+.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a c) 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 (exp.f64 (log1p.f64 (.f64 a (+.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) (/.f64 1 (.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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)) (cbrt.f64 (.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) 2)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2))) (/.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 (.f64 (.f64 a (+.f64 c d)) (.f64 (neg.f64 a) (-.f64 c d))) (/.f64 1 (.f64 (neg.f64 a) (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a (-.f64 c d))) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 c d)) (.f64 (.f64 a (-.f64 c d)) (/.f64 1 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 a (-.f64 c d)) 2))) (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) (cbrt.f64 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 a (-.f64 c d)))) (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) (sqrt.f64 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) 2)) a) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2))) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (.f64 a c) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a d) 2)))) a) (/.f64 (hypot.f64 (.f64 a c) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a d) 2)))) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a (+.f64 c d)) a) (/.f64 (.f64 a (-.f64 c d)) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2))) (.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (.f64 a c) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a d) 2)))) 1) (/.f64 (hypot.f64 (.f64 a c) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a d) 2)))) (.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a (+.f64 c d)) 1) (/.f64 (.f64 a (-.f64 c d)) (.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) 2)) (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 (hypot.f64 (.f64 a c) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a d) 2)))) (cbrt.f64 (pow.f64 (.f64 a (-.f64 c d)) 2))) (/.f64 (hypot.f64 (.f64 a c) (sqrt.f64 (neg.f64 (pow.f64 (.f64 a d) 2)))) (cbrt.f64 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a (+.f64 c d)) (cbrt.f64 (pow.f64 (.f64 a (-.f64 c d)) 2))) (/.f64 (.f64 a (-.f64 c d)) (cbrt.f64 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) 2)) (sqrt.f64 (.f64 a (-.f64 c d)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2))) (sqrt.f64 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a (+.f64 c d)) (sqrt.f64 (.f64 a (-.f64 c d)))) (/.f64 (.f64 a (-.f64 c d)) (sqrt.f64 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2))) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 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)))))))) (#(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 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6)) (.f64 (.f64 a (+.f64 c d)) (+.f64 (+.f64 (pow.f64 (.f64 a c) 4) (pow.f64 (.f64 a d) 4)) (pow.f64 (.f64 a (.f64 c (.f64 a d))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 (pow.f64 (.f64 a c) 4) (pow.f64 (.f64 a d) 4)) (.f64 (.f64 a (+.f64 c d)) (+.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (+.f64 c d)) (/.f64 (.f64 a (+.f64 c d)) (.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a d) 3))) (neg.f64 (+.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 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a (neg.f64 d)) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (.f64 (.f64 a (neg.f64 d)) (.f64 a (neg.f64 d))) (.f64 (.f64 a c) (.f64 a (neg.f64 d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a (-.f64 c d)) 3) (pow.f64 (fma.f64 (neg.f64 d) a (.f64 a d)) 3)) (+.f64 (pow.f64 (.f64 a (-.f64 c d)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 d) a (.f64 a d)) (fma.f64 (neg.f64 d) a (.f64 a d))) (.f64 (.f64 a (-.f64 c d)) (fma.f64 (neg.f64 d) a (.f64 a d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 a (neg.f64 d)) (.f64 a (neg.f64 d)))) (-.f64 (.f64 a c) (.f64 a (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a (-.f64 c d)) 2) (.f64 (fma.f64 (neg.f64 d) a (.f64 a d)) (fma.f64 (neg.f64 d) a (.f64 a d)))) (-.f64 (.f64 a (-.f64 c d)) (fma.f64 (neg.f64 d) a (.f64 a 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 log.f64 (+.f64 1 (expm1.f64 (.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (exp.f64 (.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (+.f64 1 (expm1.f64 (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (exp.f64 (.f64 a (neg.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 c) a) (/.f64 1 (exp.f64 (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (/.f64 1 (exp.f64 (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a (-.f64 c d)))) (exp.f64 (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a (neg.f64 d))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (.f64 a d))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a (neg.f64 d))) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (.f64 a d))) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 (neg.f64 d) a (.f64 a d))) (pow.f64 (exp.f64 a) (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 (neg.f64 d) a (.f64 a d))) (+.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 log1p.f64 (expm1.f64 (.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (-.f64 c d))))))) (#(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 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 a (-.f64 c d) (fma.f64 (neg.f64 d) a (.f64 a d)))))) (#(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 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 (.f64 a c) 1 (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a c) 1 (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(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 1 (.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 1 (.f64 a (-.f64 c d)) (fma.f64 (neg.f64 d) a (.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.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 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) c) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.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 (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 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.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 (cbrt.f64 (pow.f64 (.f64 a (-.f64 c d)) 2)) (cbrt.f64 (.f64 a (-.f64 c d))) (fma.f64 (neg.f64 d) a (.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a c)) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a c)) (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 a) (sqrt.f64 (.f64 c (.f64 a c))) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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)))))))) (#(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))))))

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
700×	`times-frac_binary64`
356×	`distribute-frac-neg_binary64`
338×	`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	910	1044
4	5065	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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 c d) (/.f64 (/.f64 (-.f64 c d) 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a 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 d (.f64 a (*.f64 a d)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(.f64 (.f64 c c) (*.f64 a a))
(.f64 a (.f64 c (*.f64 a c)))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
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(*.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))
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(.f64 -1 (.f64 (-.f64 (.f64 -1 c) (.f64 -1 d)) a))
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(.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))

localize6.0ms (0.2%)

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

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite42.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	149	7
2	2059	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
41×	`cancel-sign-sub-inv_binary64`
30×	`distribute-rgt-in_binary64`
28×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	171
1	33	171
2	79	171
3	207	171
4	383	171
5	516	171
6	626	171
7	631	171

Stop Event

1×

saturated

Counts

66 → 45

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

eval75.0ms (2.6%)

Compiler: Compiled 7027 to 1670 computations (76.2% saved)

prune54.0ms (1.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	290	2	292
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	291	7	298

Error

Counts

298 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 a (+.f64 c d))
✓	0.1b	(+.f64 (.f64 a d) (.f64 c a))
✓	4.3b	(*.f64 d a)
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	5.5b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 a d) (.f64 a d))) (*.f64 a (-.f64 c d)))
✓	0.1b	(fma.f64 a d (*.f64 c a))
▶	5.7b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 d (.f64 a (.f64 a d)))) (-.f64 (.f64 a c) (.f64 a d)))

Compiler

Compiled 100 to 55 computations (45% saved)

localize19.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 d (.f64 a (*.f64 a d)))
	0.2b	(.f64 a (.f64 a d))
	0.1b	(-.f64 (.f64 a c) (.f64 a d))
	0.0b	(-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 d (.f64 a (.f64 a d))))
✓	0.2b	(.f64 a (.f64 a d))
✓	0.3b	(.f64 d (.f64 a (*.f64 a d)))
	0.3b	(.f64 (.f64 a c) (*.f64 a c))
✓	5.7b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 d (.f64 a (.f64 a d)))) (-.f64 (.f64 a c) (.f64 a d)))

Compiler

Compiled 77 to 12 computations (84.4% saved)

series9.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

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

rewrite84.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`log-prod_binary64`
522×	`fma-neg_binary64`
259×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`
214×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	302	21
2	4753	21

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 d (.f64 a (.f64 a d)))) (-.f64 (.f64 a c) (.f64 a d)))
(.f64 d (.f64 a (*.f64 a d)))
(.f64 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 (pow.f64 (*.f64 a c) 2) (*.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 0 (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 a (+.f64 c d)))) (cbrt.f64 (exp.f64 (*.f64 a (+.f64 c d)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 a (+.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a c) 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 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a d) 2)) (/.f64 (/.f64 1 a) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) (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 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a d) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a d) 2))) (/.f64 (/.f64 1 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 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simplify56.0ms (2%)

Algorithm

1×	egg-herbie

Rules

488×	`unswap-sqr_binary64`
485×	`associate-l_binary64`
418×	`associate-r_binary64`
388×	`times-frac_binary64`
310×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	1002
1	65	1002
2	164	1002
3	732	732
4	5186	642

Stop Event

1×	node limit

Counts

206 → 133

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

localize19.0ms (0.7%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 71 to 12 computations (83.1% saved)

series9.0ms (0.3%)

Counts

2 → 60

Calls

18 calls:

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

rewrite84.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`log-prod_binary64`
419×	`fma-neg_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`
218×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	290	14
2	4964	14

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

625×	`div-sub_binary64`
575×	`associate-l_binary64`
457×	`associate-r_binary64`
421×	`cancel-sign-sub-inv_binary64`
376×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	804
1	43	804
2	97	750
3	248	750
4	984	480
5	5334	390

Stop Event

1×	node limit

Counts

217 → 167

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

eval95.0ms (3.3%)

Compiler: Compiled 8142 to 2152 computations (73.6% saved)

prune57.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	355	2	357
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	358	6	364

Error

Counts

364 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.3b	(*.f64 d a)
	6.4b	(.f64 (/.f64 (.f64 (.f64 a a) (-.f64 (.f64 c c) (*.f64 d d))) a) (/.f64 1 (-.f64 c d)))
	6.4b	(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 a (.f64 a (.f64 d d)))) (-.f64 (.f64 a c) (.f64 a d)))
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(*.f64 a (+.f64 c d))
✓	0.1b	(+.f64 (.f64 a d) (.f64 c a))

Compiler

Compiled 88 to 52 computations (40.9% saved)

regimes38.0ms (1.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 115 to 64 computations (44.3% saved)

regimes16.0ms (0.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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)

regimes14.0ms (0.5%)

Accuracy

Total -4.2b remaining (-2911.6%)

Threshold costs -4.2b (-2911.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	b
3.0ms	d
3.0ms	a
3.0ms	c

Results

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	21	31

Stop Event

1×

saturated

Calls

Call 1

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

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

end29.0ms (1%)

Stop Event

1×

fuel

Remove

(sort b c d)

Compiler

Compiled 86 to 51 computations (40.7% saved)

Details

analyze0.0ms (0%)

sample1.4s (48.3%)

preprocess20.0ms (0.7%)

simplify7.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series6.0ms (0.2%)

rewrite54.0ms (1.9%)

simplify15.0ms (0.5%)

eval14.0ms (0.5%)

prune12.0ms (0.4%)

localize9.0ms (0.3%)

series11.0ms (0.4%)

rewrite63.0ms (2.2%)

simplify43.0ms (1.5%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite46.0ms (1.6%)

simplify11.0ms (0.4%)

localize4.0ms (0.1%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite43.0ms (1.5%)

simplify10.0ms (0.4%)

eval42.0ms (1.5%)

prune35.0ms (1.2%)

localize17.0ms (0.6%)

series21.0ms (0.7%)

rewrite97.0ms (3.4%)

simplify63.0ms (2.2%)

localize6.0ms (0.2%)

localize7.0ms (0.3%)

series3.0ms (0.1%)

rewrite42.0ms (1.5%)

simplify18.0ms (0.6%)

eval75.0ms (2.6%)

prune54.0ms (1.9%)

localize19.0ms (0.7%)

series9.0ms (0.3%)

rewrite84.0ms (3%)

simplify56.0ms (2%)

localize19.0ms (0.7%)

series9.0ms (0.3%)

rewrite84.0ms (2.9%)

simplify61.0ms (2.1%)

eval95.0ms (3.3%)

prune57.0ms (2%)

regimes38.0ms (1.3%)

regimes16.0ms (0.6%)

regimes14.0ms (0.5%)

simplify2.0ms (0.1%)

end29.0ms (1%)

Profiling