Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 38 computations (28.3% saved)

sample2.2s (30.1%)

Results

2.2s

8256×

body

256

valid

Bogosity

preprocess43.0ms (0.6%)

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)

simplify17.0ms (0.2%)

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)

prune2.0ms (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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
▶	0.3b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 b (+.f64 c a))
✓	0.3b	(+.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	d	@	inf	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
0.0ms	c	@	inf	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
0.0ms	b	@	inf	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))

rewrite86.0ms (1.2%)

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)))))

simplify35.0ms (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))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series10.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

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

rewrite92.0ms (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 e d) c) b)
(+.f64 (+.f64 e d) c)
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

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

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

117×	`associate-+l+_binary64`
54×	`associate-+r+_binary64`
43×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1248
1	59	1248
2	144	1248
3	243	1248
4	254	1248

Stop Event

1×

saturated

Counts

309 → 188

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)))
(+.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))
(+.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))))

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

eval88.0ms (1.2%)

Compiler: Compiled 6322 to 1792 computations (71.7% saved)

prune671.0ms (9.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	379	11	390
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	380	12	392

Error

Counts

392 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
	0.3b	(fma.f64 d 1 (+.f64 e (+.f64 a (+.f64 b c))))
	47.5b	(+.f64 (+.f64 e d) (+.f64 c b))
✓	0.3b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
	0.4b	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
	0.3b	(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
▶	0.2b	(*.f64 (+.f64 e (+.f64 d (+.f64 a (+.f64 b c)))) 1)
	51.9b	e
▶	47.5b	(+.f64 (+.f64 d b) (+.f64 c e))
	47.5b	(+.f64 c (+.f64 d (+.f64 b e)))
▶	51.7b	(+.f64 e a)
▶	0.4b	(+.f64 (+.f64 c (+.f64 d (+.f64 b e))) a)

Compiler

Compiled 286 to 192 computations (32.9% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 12 computations (73.9% saved)

series10.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

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

rewrite95.0ms (1.3%)

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

Outputs

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

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

122×	`associate-+l+_binary64`
53×	`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	237	1248
4	243	1248

Stop Event

1×

saturated

Counts

364 → 247

Calls

Call 1

Inputs
(+.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))
(+.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))))

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

localize7.0ms (0.1%)

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

localize8.0ms (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%)

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	b	@	inf	(+.f64 (+.f64 d b) (+.f64 c e))
0.0ms	d	@	-inf	(+.f64 (+.f64 d b) (+.f64 c e))
0.0ms	d	@	inf	(+.f64 (+.f64 d b) (+.f64 c e))

rewrite68.0ms (0.9%)

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

simplify15.0ms (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)))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (+.f64 d b) (+.f64 c e))
✓	0.2b	(+.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	b	@	-inf	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
0.0ms	d	@	-inf	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
0.0ms	d	@	0	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))

rewrite75.0ms (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))))))

simplify26.0ms (0.4%)

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))))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series9.0ms (0.1%)

Counts

3 → 81

Calls

36 calls:

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

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`fma-def_binary64`
593×	`log-prod_binary64`
432×	`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	4004	30

Stop Event

1×	node limit

Counts

3 → 224

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

120×	`associate-+l+_binary64`
55×	`associate-+r+_binary64`
50×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	699
1	56	699
2	147	699
3	260	699
4	267	699

Stop Event

1×

saturated

Counts

305 → 250

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

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

eval179.0ms (2.5%)

Compiler: Compiled 13409 to 4027 computations (70% saved)

prune153.0ms (2.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	836	8	844
Fresh	3	3	6
Picked	0	1	1
Done	1	4	5
Total	840	16	856

Error

Counts

856 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
	47.5b	(+.f64 (+.f64 e d) (+.f64 c b))
	49.2b	(+.f64 e (+.f64 c d))
✓	47.5b	(+.f64 (+.f64 d b) (+.f64 c e))
▶	49.2b	(+.f64 c (+.f64 d e))
▶	47.5b	(+.f64 c (+.f64 d (+.f64 b e)))
✓	0.4b	(+.f64 (+.f64 c (+.f64 d (+.f64 b e))) a)
	47.5b	(+.f64 c (+.f64 e (+.f64 b d)))
	0.3b	(*.f64 (+.f64 c (+.f64 (+.f64 b e) (+.f64 d a))) 1)
✓	0.3b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
	0.4b	(+.f64 (+.f64 (*.f64 (+.f64 d (+.f64 e c)) 1) b) a)
▶	47.5b	(+.f64 e (+.f64 c (+.f64 d b)))
▶	0.3b	(+.f64 c (+.f64 b (+.f64 e (+.f64 d a))))
	51.9b	e
▶	0.2b	(+.f64 e (+.f64 c (+.f64 d (+.f64 b a))))
✓	51.7b	(+.f64 e a)

Compiler

Compiled 324 to 218 computations (32.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series9.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

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

rewrite90.0ms (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	30
1	242	30
2	4015	30

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

129×	`associate-+l+_binary64`
56×	`associate-+r+_binary64`
40×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1248
1	57	1248
2	139	1248
3	259	1248
4	268	1248

Stop Event

1×

saturated

Counts

364 → 247

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite62.0ms (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 c (+.f64 d e))

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	10	18

Stop Event

1×

saturated

Counts

44 → 43

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 57

Calls

21 calls:

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

rewrite83.0ms (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 e (+.f64 c (+.f64 d b)))
(+.f64 c (+.f64 d b))

Outputs

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

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	414
1	30	414
2	52	414
3	62	414

Stop Event

1×

saturated

Counts

204 → 163

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

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

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series18.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite139.0ms (1.9%)

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

Outputs

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

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

107×	`associate-+l+_binary64`
57×	`associate-+r+_binary64`
47×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1248
1	49	1248
2	128	1248
3	252	1248
4	255	1248

Stop Event

1×

saturated

Counts

364 → 246

Calls

Call 1

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

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

eval327.0ms (4.5%)

Compiler: Compiled 12169 to 3510 computations (71.2% saved)

prune225.0ms (3.1%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	849	8	857
Fresh	2	4	6
Picked	0	1	1
Done	2	7	9
Total	853	20	873

Error

Counts

873 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(+.f64 a (+.f64 d (+.f64 c (+.f64 b e))))
✓	47.5b	(+.f64 e (+.f64 c (+.f64 d b)))
▶	0.3b	(+.f64 c (*.f64 (+.f64 e (+.f64 (+.f64 d a) b)) 1))
	47.5b	(+.f64 (+.f64 e d) (+.f64 c b))
▶	50.4b	(+.f64 e d)
✓	0.2b	(+.f64 e (+.f64 c (+.f64 d (+.f64 b a))))
▶	49.2b	(+.f64 e (+.f64 c d))
✓	47.5b	(+.f64 (+.f64 d b) (+.f64 c e))
✓	49.2b	(+.f64 c (+.f64 d e))
	47.5b	(+.f64 d (+.f64 b (+.f64 e c)))
✓	47.5b	(+.f64 c (+.f64 d (+.f64 b e)))
✓	0.4b	(+.f64 (+.f64 c (+.f64 d (+.f64 b e))) a)
▶	47.5b	(+.f64 c (+.f64 e (+.f64 b d)))
✓	0.3b	(+.f64 c (+.f64 b (+.f64 e (+.f64 d a))))
	47.5b	(+.f64 e (+.f64 d (+.f64 b c)))
	51.9b	e
▶	47.5b	(+.f64 d (+.f64 c (+.f64 b e)))
	47.5b	(+.f64 c (+.f64 b (+.f64 d e)))
	49.2b	(+.f64 d (+.f64 e c))
✓	0.3b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))

Compiler

Compiled 368 to 248 computations (32.6% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 14 computations (69.6% saved)

series11.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`fma-def_binary64`
600×	`log-prod_binary64`
407×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	275	30
2	4042	30

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

115×	`associate-+l+_binary64`
61×	`associate-+r+_binary64`
47×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1248
1	48	1248
2	128	1248
3	265	1248
4	268	1248

Stop Event

1×

saturated

Counts

359 → 242

Calls

Call 1

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

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

localize26.0ms (0.4%)

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 e (+.f64 c d))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (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	e	@	-inf	(+.f64 e (+.f64 c d))
0.0ms	d	@	inf	(+.f64 e (+.f64 c d))

rewrite60.0ms (0.8%)

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))))))

simplify10.0ms (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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite81.0ms (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)))))

simplify22.0ms (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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series8.0ms (0.1%)

Counts

2 → 57

Calls

21 calls:

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

rewrite76.0ms (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 b e))
(+.f64 d (+.f64 c (+.f64 b e)))

Outputs

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

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

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	414
1	31	414
2	53	414
3	58	414

Stop Event

1×

saturated

Counts

204 → 166

Calls

Call 1

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

eval152.0ms (2.1%)

Compiler: Compiled 8775 to 2896 computations (67% saved)

prune120.0ms (1.6%)

Pruning

22 alts after pruning (9 fresh and 13 done)

	Pruned	Kept	Total
New	610	4	614
Fresh	2	5	7
Picked	0	1	1
Done	0	12	12
Total	612	22	634

Error

Counts

634 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(+.f64 a (+.f64 d (+.f64 c (+.f64 b e))))
✓	47.5b	(+.f64 e (+.f64 c (+.f64 d b)))
	47.5b	(+.f64 b (+.f64 e (+.f64 c d)))
✓	0.3b	(+.f64 c (*.f64 (+.f64 e (+.f64 (+.f64 d a) b)) 1))
	47.5b	(+.f64 (+.f64 e d) (+.f64 c b))
✓	47.5b	(+.f64 d (+.f64 c (+.f64 b e)))
	49.2b	(+.f64 d (+.f64 e c))
✓	50.4b	(+.f64 e d)
✓	0.2b	(+.f64 e (+.f64 c (+.f64 d (+.f64 b a))))
✓	49.2b	(+.f64 e (+.f64 c d))
✓	47.5b	(+.f64 (+.f64 d b) (+.f64 c e))
✓	49.2b	(+.f64 c (+.f64 d e))
	47.5b	(+.f64 d (+.f64 b (+.f64 e c)))
✓	47.5b	(+.f64 c (+.f64 d (+.f64 b e)))
✓	0.4b	(+.f64 (+.f64 c (+.f64 d (+.f64 b e))) a)
✓	47.5b	(+.f64 c (+.f64 e (+.f64 b d)))
✓	0.3b	(+.f64 c (+.f64 b (+.f64 e (+.f64 d a))))
	47.5b	(+.f64 e (+.f64 d (+.f64 b c)))
	47.5b	(+.f64 b (+.f64 d (+.f64 e c)))
	47.5b	(+.f64 c (+.f64 b (+.f64 d e)))
	51.9b	e
✓	0.3b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))

Compiler

Compiled 262 to 176 computations (32.8% saved)

regimes252.0ms (3.5%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

10 calls:

49.0ms	d
45.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
19.0ms	a
18.0ms	c
18.0ms	b

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 319 to 139 computations (56.4% saved)

regimes177.0ms (2.4%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

7 calls:

85.0ms	b
29.0ms	(+.f64 e d)
13.0ms	a
12.0ms	d
11.0ms	c

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`c`
0.3b	1	`d`
0.3b	1	`e`
0.3b	1	`(+.f64 e d)`
0.3b	1	`(+.f64 e d)`

Compiler

Compiled 175 to 79 computations (54.9% saved)

regimes118.0ms (1.6%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

45.0ms	c
13.0ms	e
12.0ms	b
11.0ms	(+.f64 e d)
11.0ms	d

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`c`
0.3b	1	`d`
0.3b	1	`e`
0.3b	1	`(+.f64 e d)`
0.3b	1	`(+.f64 e d)`

Compiler

Compiled 166 to 75 computations (54.8% saved)

regimes216.0ms (3%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

7 calls:

98.0ms	e
36.0ms	(+.f64 e d)
33.0ms	a
13.0ms	d
11.0ms	c

Results

Error	Segments	Branch
47.5b	1	`a`
47.5b	1	`b`
47.5b	1	`c`
47.5b	1	`d`
47.5b	1	`e`
47.5b	1	`(+.f64 e d)`
47.5b	1	`(+.f64 e d)`

Compiler

Compiled 157 to 74 computations (52.9% saved)

regimes125.0ms (1.7%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

83.0ms	b
18.0ms	e
6.0ms	a
6.0ms	d
6.0ms	(+.f64 e d)

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 72 to 44 computations (38.9% saved)

regimes32.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 e d)

Calls

6 calls:

7.0ms	b
6.0ms	e
5.0ms	(+.f64 e d)
4.0ms	c
4.0ms	d

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 52 to 38 computations (26.9% saved)

regimes25.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
e
e
e

Outputs
e

Calls

5 calls:

9.0ms	c
4.0ms	a
4.0ms	d
4.0ms	b
3.0ms	e

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 38 to 30 computations (21.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	42	61

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 78 to 53 computations (32.1% saved)

soundness37.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

120×	`associate-+l+_binary64`
55×	`associate-+r+_binary64`
50×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	699
1	56	699
2	147	699
3	260	699
4	267	699

Stop Event

1×

saturated

Compiler

Compiled 98 to 63 computations (35.7% saved)

end209.0ms (2.9%)

Remove: (sort a b c d e)
Compiler: Compiled 76 to 41 computations (46.1% saved)