Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 38 computations (28.3% saved)

sample2.0s (31%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess18.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

157×	`associate-+l+_binary64`
64×	`associate-+r+_binary64`
46×	`+-commutative_binary64`
1×	`swap-a-e`
1×	`swap-a-d`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	128	143
2	305	143
3	339	143
0	5	5
1	5	5

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
0
3
0
4
0

Call 2

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

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

Symmetry

(sort a b c d e)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

115×	`associate-+l+_binary64`
88×	`associate-+r+_binary64`
54×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	59	13
3	182	13
4	318	13
5	318	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 12 computations (47.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
▶	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 b (+.f64 c a))
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))

Compiler

Compiled 30 to 9 computations (70% saved)

series8.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`fma-def_binary64`
593×	`log-prod_binary64`
433×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	242	20
2	4058	20

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

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

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fma.f64 (+.f64 (+.f64 e d) b) 1 (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 d (+.f64 a (+.f64 b c)))) (cbrt.f64 (+.f64 d (+.f64 a (+.f64 b c))))) (cbrt.f64 (+.f64 d (+.f64 a (+.f64 b c)))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 b c)) (cbrt.f64 (+.f64 b c))) (cbrt.f64 (+.f64 b c)) (+.f64 a (+.f64 e d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 e d) b)) (cbrt.f64 (+.f64 (+.f64 e d) b))) (cbrt.f64 (+.f64 (+.f64 e d) b)) (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 a (+.f64 b c)))) (sqrt.f64 (+.f64 d (+.f64 a (+.f64 b c)))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) (+.f64 a (+.f64 e d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 e d) b)) (sqrt.f64 (+.f64 (+.f64 e d) b)) (+.f64 c a))))))

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

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

123×	`associate-+l+_binary64`
58×	`associate-+r+_binary64`
37×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	852
1	53	852
2	133	852
3	247	852
4	258	852

Stop Event

1×

saturated

Counts

278 → 202

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (+.f64 e d) c)
✓	0.2b	(+.f64 (+.f64 (+.f64 e d) c) b)
✓	0.3b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Compiler

Compiled 34 to 9 computations (73.5% saved)

series10.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
436×	`fma-neg_binary64`
354×	`pow2_binary64`
239×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	242	30
2	3991	30

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

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

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

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

112×	`associate-+l+_binary64`
52×	`associate-+r+_binary64`
44×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1248
1	59	1248
2	144	1248
3	243	1248
4	246	1248

Stop Event

1×

saturated

Counts

309 → 191

Calls

Call 1

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

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

eval75.0ms (1.2%)

Compiler: Compiled 6333 to 1790 computations (71.7% saved)

prune73.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	383	10	393
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	384	11	395

Error

Counts

395 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
	0.4b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
▶	0.3b	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
	51.9b	e
▶	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
▶	0.4b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
	0.2b	(+.f64 (+.f64 e d) (+.f64 c (+.f64 a b)))
	1.1b	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 a (+.f64 b c))) (+.f64 d (+.f64 a (+.f64 b c))))) (-.f64 e (+.f64 d (+.f64 a (+.f64 b c)))))
✓	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
	47.6b	(+.f64 (+.f64 d b) (+.f64 c e))
▶	0.2b	(*.f64 (+.f64 e (+.f64 d (+.f64 a (+.f64 b c)))) 1)

Compiler

Compiled 308 to 186 computations (39.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 a (+.f64 b c))
✓	0.2b	(+.f64 e (+.f64 d (+.f64 a (+.f64 b c))))
✓	0.2b	(+.f64 d (+.f64 a (+.f64 b c)))

Compiler

Compiled 46 to 12 computations (73.9% saved)

series9.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`fma-def_binary64`
593×	`log-prod_binary64`
426×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	242	30
2	4015	30

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

123×	`associate-+l+_binary64`
54×	`associate-+r+_binary64`
31×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	1248
1	60	1248
2	135	1248
3	240	1248
4	247	1248

Stop Event

1×

saturated

Counts

364 → 246

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 d (+.f64 b e))
✓	0.3b	(+.f64 c (+.f64 d (+.f64 b e)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 21

Calls

21 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`fma-def_binary64`
466×	`log-prod_binary64`
429×	`pow-prod-down_binary64`
309×	`fma-neg_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	191	17
2	3099	17

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
10×	`associate-+r+_binary64`
10×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	25	54
2	45	54
3	49	54

Stop Event

1×

saturated

Counts

168 → 162

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (+.f64 e d) (+.f64 c b))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	c	@	-inf	(+.f64 (+.f64 e d) (+.f64 c b))
0.0ms	e	@	0	(+.f64 (+.f64 e d) (+.f64 c b))
0.0ms	b	@	0	(+.f64 (+.f64 e d) (+.f64 c b))
0.0ms	e	@	inf	(+.f64 (+.f64 e d) (+.f64 c b))
0.0ms	b	@	-inf	(+.f64 (+.f64 e d) (+.f64 c b))

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`fma-def_binary64`
466×	`log-prod_binary64`
435×	`pow-prod-down_binary64`
314×	`fma-neg_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	191	10
2	3142	10

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`associate-+l+_binary64`
15×	`+-commutative_binary64`
14×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	396
1	28	396
2	55	396
3	67	396

Stop Event

1×

saturated

Counts

158 → 122

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(+.f64 d (+.f64 b e))
✓	0.2b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
✓	0.2b	(+.f64 a (+.f64 d (+.f64 b e)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series11.0ms (0.2%)

Counts

2 → 27

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	e	@	inf	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
0.0ms	a	@	0	(+.f64 a (+.f64 d (+.f64 b e)))
0.0ms	a	@	inf	(+.f64 a (+.f64 d (+.f64 b e)))
0.0ms	b	@	0	(+.f64 a (+.f64 d (+.f64 b e)))
0.0ms	d	@	0	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`fma-def_binary64`
593×	`log-prod_binary64`
426×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	242	23
2	4015	23

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

82×	`associate-+l+_binary64`
54×	`associate-+r+_binary64`
47×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	96
1	43	96
2	119	96
3	221	96
4	225	96

Stop Event

1×

saturated

Counts

177 → 172

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 d (+.f64 e c))
✓	0.2b	(+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b)
✓	0.3b	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)

Compiler

Compiled 46 to 17 computations (63% saved)

series9.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	d	@	0	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
0.0ms	d	@	inf	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
0.0ms	c	@	-inf	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
0.0ms	e	@	-inf	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
0.0ms	e	@	inf	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)

rewrite85.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`fma-def_binary64`
599×	`log-prod_binary64`
411×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	277	30
2	4022	30

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 e e) (*.f64 c c)) (/.f64 1 (-.f64 e c)) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 d e)) (cbrt.f64 (+.f64 d e))) (cbrt.f64 (+.f64 d e)) (+.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d e)) (sqrt.f64 (+.f64 d e)) (+.f64 c b))))))

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

117×	`associate-+l+_binary64`
56×	`associate-+r+_binary64`
44×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1248
1	59	1248
2	144	1248
3	244	1248
4	255	1248

Stop Event

1×

saturated

Counts

371 → 256

Calls

Call 1

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

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

eval219.0ms (3.5%)

Compiler: Compiled 15953 to 5015 computations (68.6% saved)

prune178.0ms (2.8%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1025	7	1032
Fresh	1	4	5
Picked	0	1	1
Done	0	5	5
Total	1026	17	1043

Error

Counts

1043 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.2b	(+.f64 d (+.f64 e c))
✓	0.4b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
▶	51.3b	(+.f64 c e)
▶	0.2b	(+.f64 (+.f64 e d) (+.f64 c (+.f64 a b)))
✓	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
	0.4b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
	47.6b	(+.f64 d (+.f64 b (+.f64 e c)))
✓	0.2b	(*.f64 (+.f64 e (+.f64 d (+.f64 a (+.f64 b c)))) 1)
	51.9b	e
✓	0.3b	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
✓	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
▶	47.6b	(+.f64 c (+.f64 b (+.f64 d e)))
	1.1b	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 a (+.f64 b c))) (+.f64 d (+.f64 a (+.f64 b c))))) (-.f64 e (+.f64 d (+.f64 a (+.f64 b c)))))
	47.6b	(+.f64 b (+.f64 c (+.f64 e d)))
✓	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
▶	47.6b	(+.f64 (+.f64 d b) (+.f64 c e))
	49.2b	(+.f64 c (+.f64 d e))

Compiler

Compiled 366 to 227 computations (38% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 c (+.f64 a b))
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 c (+.f64 a b)))

Compiler

Compiled 30 to 9 computations (70% saved)

series6.0ms (0.1%)

Counts

2 → 69

Calls

24 calls:

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

rewrite85.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`fma-def_binary64`
593×	`log-prod_binary64`
433×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	242	20
2	4058	20

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

113×	`associate-+l+_binary64`
60×	`associate-+r+_binary64`
41×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	663
1	50	663
2	130	663
3	249	663
4	253	663

Stop Event

1×

saturated

Counts

251 → 202

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(+.f64 d (+.f64 e c))

Compiler

Compiled 16 to 7 computations (56.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 b (+.f64 d e))
✓	0.3b	(+.f64 c (+.f64 b (+.f64 d e)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`fma-def_binary64`
466×	`log-prod_binary64`
429×	`pow-prod-down_binary64`
309×	`fma-neg_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	191	17
2	3099	17

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

21×	`associate-+l+_binary64`
16×	`+-commutative_binary64`
14×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	603
1	28	603
2	55	603
3	68	603

Stop Event

1×

saturated

Counts

231 → 164

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (+.f64 d b) (+.f64 c e))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`fma-def_binary64`
466×	`log-prod_binary64`
435×	`pow-prod-down_binary64`
314×	`fma-neg_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	191	10
2	3142	10

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`associate-+l+_binary64`
16×	`+-commutative_binary64`
14×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	396
1	28	396
2	55	396
3	68	396

Stop Event

1×

saturated

Counts

158 → 124

Calls

Call 1

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

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

eval128.0ms (2%)

Compiler: Compiled 8077 to 2298 computations (71.5% saved)

prune148.0ms (2.3%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	560	6	566
Fresh	3	3	6
Picked	0	1	1
Done	1	9	10
Total	564	19	583

Error

Counts

583 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.2b	(+.f64 d (+.f64 e c))
✓	0.4b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
▶	49.2b	(+.f64 e (+.f64 c d))
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 c (+.f64 a b)))
	49.2b	(+.f64 c (+.f64 d e))
	47.6b	(+.f64 d (+.f64 b (+.f64 e c)))
✓	47.6b	(+.f64 c (+.f64 b (+.f64 d e)))
▶	47.6b	(+.f64 c (+.f64 e (+.f64 b d)))
✓	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
▶	0.4b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
▶	50.4b	(+.f64 e d)
✓	47.6b	(+.f64 (+.f64 d b) (+.f64 c e))
	51.9b	e
✓	0.3b	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
✓	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
	47.6b	(+.f64 b (+.f64 c (+.f64 e d)))
▶	1.2b	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))) (-.f64 e (+.f64 d (+.f64 b (+.f64 c a)))))
✓	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
✓	0.2b	(*.f64 (+.f64 e (+.f64 d (+.f64 a (+.f64 b c)))) 1)

Compiler

Compiled 362 to 225 computations (37.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (+.f64 d b) (+.f64 c e))
✓	0.3b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series4.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

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

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`fma-def_binary64`
593×	`log-prod_binary64`
436×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	242	13
2	4071	13

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

123×	`associate-+l+_binary64`
61×	`associate-+r+_binary64`
51×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	645
1	46	645
2	131	645
3	272	645
4	283	645

Stop Event

1×

saturated

Counts

142 → 99

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize43.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 e (+.f64 c d))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	140	7
2	2185	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	207
1	13	207
2	16	207

Stop Event

1×

saturated

Counts

71 → 42

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 e (+.f64 b d))
✓	0.3b	(+.f64 c (+.f64 e (+.f64 b d)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`fma-def_binary64`
466×	`log-prod_binary64`
429×	`pow-prod-down_binary64`
309×	`fma-neg_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	191	17
2	3099	17

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

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

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

21×	`associate-+l+_binary64`
15×	`+-commutative_binary64`
14×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	603
1	28	603
2	55	603
3	67	603

Stop Event

1×

saturated

Counts

231 → 164

Calls

Call 1

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

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

localize48.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))) (-.f64 e (+.f64 d (+.f64 b (+.f64 c a)))))
✓	0.5b	(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))
✓	1.1b	(-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a)))))
✓	1.4b	(-.f64 e (+.f64 d (+.f64 b (+.f64 c a))))

Compiler

Compiled 100 to 13 computations (87% saved)

series40.0ms (0.6%)

Counts

4 → 228

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))) (-.f64 e (+.f64 d (+.f64 b (+.f64 c a)))))
2.0ms	c	@	0	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))) (-.f64 e (+.f64 d (+.f64 b (+.f64 c a)))))
2.0ms	b	@	0	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))) (-.f64 e (+.f64 d (+.f64 b (+.f64 c a)))))
2.0ms	a	@	0	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))) (-.f64 e (+.f64 d (+.f64 b (+.f64 c a)))))
2.0ms	d	@	0	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 b (+.f64 c a))) (+.f64 d (+.f64 b (+.f64 c a))))) (-.f64 e (+.f64 d (+.f64 b (+.f64 c a)))))

rewrite188.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`fma-neg_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
196×	`add-sqr-sqrt_binary64`
194×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	354	58
2	6262	58

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify178.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-def_binary64`
548×	`div-sub_binary64`
456×	`fma-neg_binary64`
405×	`+-commutative_binary64`
357×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	8201
1	1692	7352
2	7041	7302

Stop Event

1×	node limit

Counts

447 → 440

Calls

Call 1

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

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

eval404.0ms (6.4%)

Compiler: Compiled 24378 to 6798 computations (72.1% saved)

prune170.0ms (2.7%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	864	5	869
Fresh	1	3	4
Picked	1	0	1
Done	3	11	14
Total	869	19	888

Error

Counts

888 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(+.f64 c (+.f64 d e))
✓	49.2b	(+.f64 d (+.f64 e c))
✓	0.4b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
✓	49.2b	(+.f64 e (+.f64 c d))
	47.6b	(+.f64 d (+.f64 b (+.f64 e c)))
✓	47.6b	(+.f64 c (+.f64 b (+.f64 d e)))
✓	47.6b	(+.f64 c (+.f64 e (+.f64 b d)))
✓	0.4b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
	0.3b	(-.f64 (+.f64 (.f64 2 d) (+.f64 (.f64 2 c) (+.f64 b (.f64 2 a)))) (.f64 -1 (-.f64 e (+.f64 c (+.f64 a d)))))
	47.6b	(+.f64 b (+.f64 d (+.f64 e c)))
✓	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
	0.2b	(+.f64 (+.f64 (+.f64 b c) (+.f64 a d)) e)
✓	50.4b	(+.f64 e d)
✓	47.6b	(+.f64 (+.f64 d b) (+.f64 c e))
✓	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 c (+.f64 a b)))
	47.6b	(+.f64 b (+.f64 c (+.f64 e d)))
	0.2b	(+.f64 (+.f64 e (+.f64 b (+.f64 c a))) d)
	51.9b	e

Compiler

Compiled 238 to 161 computations (32.4% saved)

regimes240.0ms (3.8%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

10 calls:

66.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
44.0ms	(+.f64 e d)
17.0ms	a
17.0ms	b
15.0ms	(+.f64 e d)

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`c`
0.2b	1	`d`
0.2b	1	`e`
0.2b	1	`(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)`
0.2b	1	`(+.f64 (+.f64 (+.f64 e d) c) b)`
0.2b	1	`(+.f64 (+.f64 e d) c)`
0.2b	1	`(+.f64 e d)`
0.2b	1	`(+.f64 e d)`

Compiler

Compiled 349 to 142 computations (59.3% saved)

regimes225.0ms (3.6%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

7 calls:

96.0ms	d
58.0ms	b
32.0ms	(+.f64 e d)
9.0ms	a
9.0ms	e

Results

Error	Segments	Branch
47.6b	1	`a`
47.6b	1	`b`
47.6b	1	`c`
47.6b	1	`d`
47.6b	1	`e`
47.6b	1	`(+.f64 e d)`
47.6b	1	`(+.f64 e d)`

Compiler

Compiled 147 to 67 computations (54.4% saved)

regimes44.0ms (0.7%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	c
6.0ms	a
6.0ms	b
5.0ms	d
5.0ms	e

Results

Error	Segments	Branch
49.2b	1	`a`
49.2b	1	`b`
49.2b	1	`c`
49.2b	1	`d`
49.2b	1	`e`
49.2b	1	`(+.f64 e d)`

Compiler

Compiled 76 to 44 computations (42.1% saved)

regimes177.0ms (2.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 e d)

Calls

6 calls:

156.0ms	d
4.0ms	a
4.0ms	(+.f64 e d)
4.0ms	b
4.0ms	c

Results

Error	Segments	Branch
50.4b	1	`a`
50.4b	1	`b`
50.4b	1	`c`
50.4b	1	`d`
50.4b	1	`e`
50.4b	1	`(+.f64 e d)`

Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes20.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
e
e

Outputs
e

Calls

5 calls:

6.0ms	d
3.0ms	c
3.0ms	a
3.0ms	e
3.0ms	b

Results

Error	Segments	Branch
51.9b	1	`a`
51.9b	1	`b`
51.9b	1	`c`
51.9b	1	`d`
51.9b	1	`e`

Compiler

Compiled 37 to 30 computations (18.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	24	35

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 50 to 35 computations (30% saved)

soundness41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

115×	`associate-+l+_binary64`
88×	`associate-+r+_binary64`
54×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	59	13
3	182	13
4	318	13
5	318	13

Stop Event

1×

saturated

Compiler

Compiled 70 to 45 computations (35.7% saved)

end215.0ms (3.4%)

Remove: (sort a b c d e)
Compiler: Compiled 58 to 32 computations (44.8% saved)