Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 38 computations (28.3% saved)

sample2.4s (38.8%)

Results

2.4s

8256×

body

256

valid

preprocess22.0ms (0.4%)

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)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize10.0ms (0.2%)

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
1.0ms	e	@	0	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
0.0ms	e	@	inf	(+.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	c	@	inf	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

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

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

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

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

278 → 202

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series9.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite93.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

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

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((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))))))

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

114×	`associate-+l+_binary64`
54×	`associate-+r+_binary64`
41×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1248
1	59	1248
2	144	1248
3	240	1248
4	247	1248

Stop Event

1×

saturated

Counts

309 → 187

Calls

Call 1

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

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

eval81.0ms (1.3%)

Compiler: Compiled 6307 to 1790 computations (71.6% saved)

prune81.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	376	13	389
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	377	14	391

Error

Counts

391 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 d (+.f64 a (+.f64 b c))) (+.f64 d (+.f64 a (+.f64 b c))))) (-.f64 e (+.f64 d (+.f64 a (+.f64 b c)))))
	47.6b	(+.f64 (+.f64 d b) (+.f64 c e))
	0.3b	(fma.f64 (+.f64 (+.f64 e d) b) 1 (+.f64 c a))
▶	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
	0.5b	(fma.f64 (-.f64 (.f64 e e) (.f64 d d)) (/.f64 1 (-.f64 e d)) (+.f64 a (+.f64 b c)))
▶	0.3b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
▶	0.2b	(+.f64 (+.f64 e d) (*.f64 (+.f64 a (+.f64 b c)) 1))
▶	0.2b	(*.f64 (+.f64 e (+.f64 d (+.f64 a (+.f64 b c)))) 1)
▶	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
	0.3b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
	0.4b	(+.f64 (+.f64 (+.f64 d (+.f64 c e)) b) a)
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
	0.3b	(+.f64 (+.f64 (fma.f64 1 e (+.f64 d c)) b) a)
	51.9b	e

Compiler

Compiled 414 to 254 computations (38.6% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 12 computations (73.9% saved)

series10.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite104.0ms (1.7%)

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

Outputs

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

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

116×	`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	234	1248
4	237	1248

Stop Event

1×

saturated

Counts

364 → 239

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 21

Calls

21 calls:

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

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

168 → 162

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

158 → 122

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series8.0ms (0.1%)

Counts

2 → 27

Calls

27 calls:

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

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

79×	`associate-+l+_binary64`
53×	`associate-+r+_binary64`
48×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	96
1	43	96
2	119	96
3	217	96
4	220	96

Stop Event

1×

saturated

Counts

177 → 171

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 14 computations (65% saved)

series4.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

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

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`fma-def_binary64`
600×	`log-prod_binary64`
413×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	275	13
2	4089	13

Stop Event

1×	node limit

Counts

1 → 99

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

114×	`associate-+l+_binary64`
59×	`associate-+r+_binary64`
50×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	645
1	46	645
2	131	645
3	267	645
4	270	645

Stop Event

1×

saturated

Counts

159 → 116

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

eval237.0ms (3.8%)

Compiler: Compiled 15060 to 4605 computations (69.4% saved)

prune214.0ms (3.4%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	950	8	958
Fresh	3	5	8
Picked	0	1	1
Done	0	5	5
Total	953	19	972

Error

Counts

972 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(fma.f64 (+.f64 (+.f64 e d) b) 1 (+.f64 c a))
✓	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
	1.3b	(/.f64 (-.f64 (.f64 e e) (.f64 (+.f64 (+.f64 d (+.f64 a b)) c) (+.f64 (+.f64 d (+.f64 a b)) c))) (-.f64 e (+.f64 (+.f64 d (+.f64 a b)) c)))
✓	0.3b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
	51.9b	e
	0.4b	(+.f64 (+.f64 (+.f64 d (+.f64 c e)) b) a)
✓	0.2b	(+.f64 (+.f64 e d) (*.f64 (+.f64 a (+.f64 b c)) 1))
	49.2b	(+.f64 d (+.f64 e c))
✓	0.2b	(*.f64 (+.f64 e (+.f64 d (+.f64 a (+.f64 b c)))) 1)
▶	49.2b	(+.f64 c (+.f64 d e))
	0.3b	(+.f64 (+.f64 (fma.f64 1 e (+.f64 d c)) b) a)
	47.6b	(+.f64 c (+.f64 b (+.f64 d e)))
✓	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
▶	0.3b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 c e)))
	47.6b	(+.f64 (+.f64 d b) (+.f64 c e))
▶	47.6b	(+.f64 d (+.f64 b (+.f64 c e)))
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
▶	0.3b	(fma.f64 1 (+.f64 a d) (+.f64 (+.f64 b e) c))
▶	47.6b	(+.f64 b (+.f64 c (+.f64 d e)))

Compiler

Compiled 440 to 275 computations (37.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 11 computations (65.6% saved)

series7.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	d	@	-inf	(fma.f64 1 (+.f64 a d) (+.f64 (+.f64 b e) c))
0.0ms	a	@	0	(fma.f64 1 (+.f64 a d) (+.f64 (+.f64 b e) c))
0.0ms	b	@	0	(fma.f64 1 (+.f64 a d) (+.f64 (+.f64 b e) c))
0.0ms	a	@	-inf	(fma.f64 1 (+.f64 a d) (+.f64 (+.f64 b e) c))
0.0ms	d	@	inf	(fma.f64 1 (+.f64 a d) (+.f64 (+.f64 b e) c))

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`fma-def_binary64`
557×	`log-prod_binary64`
336×	`pow2_binary64`
299×	`fma-neg_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	241	20
2	3543	20

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

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

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

122×	`associate-+l+_binary64`
61×	`associate-+r+_binary64`
42×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	852
1	53	852
2	137	852
3	252	852
4	263	852

Stop Event

1×

saturated

Counts

214 → 140

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite58.0ms (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))))))

simplify9.0ms (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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite60.0ms (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	10
1	191	10
2	3099	10

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

124 → 88

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite101.0ms (1.6%)

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

Outputs

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

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

simplify18.0ms (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	603
1	31	603
2	53	603
3	58	603

Stop Event

1×

saturated

Counts

231 → 165

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 9 computations (71.9% saved)

series7.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite115.0ms (1.8%)

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	23
1	242	23
2	4071	23

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

120×	`associate-+l+_binary64`
53×	`associate-+r+_binary64`
48×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	1041
1	56	1041
2	146	1041
3	257	1041
4	264	1041

Stop Event

1×

saturated

Counts

297 → 211

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

eval137.0ms (2.2%)

Compiler: Compiled 9902 to 2860 computations (71.1% saved)

prune132.0ms (2.1%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	682	8	690
Fresh	4	4	8
Picked	1	0	1
Done	3	7	10
Total	690	19	709

Error

Counts

709 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
	47.6b	(+.f64 d (+.f64 c (+.f64 e b)))
✓	47.6b	(+.f64 d (+.f64 b (+.f64 c e)))
▶	0.2b	(+.f64 (+.f64 (+.f64 a d) c) (+.f64 b e))
	0.3b	(+.f64 (+.f64 b (+.f64 e c)) (+.f64 a d))
▶	47.6b	(+.f64 c (+.f64 e (+.f64 d b)))
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
	49.2b	(+.f64 d (+.f64 e c))
	0.3b	(+.f64 a (*.f64 (+.f64 d (+.f64 (+.f64 b c) e)) 1))
✓	49.2b	(+.f64 c (+.f64 d e))
	0.3b	(+.f64 (+.f64 (fma.f64 1 e (+.f64 d c)) b) a)
	47.6b	(+.f64 c (+.f64 b (+.f64 d e)))
✓	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
✓	0.3b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
▶	50.5b	(+.f64 d e)
	51.9b	e
▶	49.2b	(+.f64 e (+.f64 c d))
▶	47.6b	(+.f64 e (+.f64 b (+.f64 c d)))
✓	47.6b	(+.f64 b (+.f64 c (+.f64 d e)))

Compiler

Compiled 362 to 244 computations (32.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series7.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
435×	`fma-neg_binary64`
239×	`pow1/3_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	4048	20

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

128×	`associate-+l+_binary64`
56×	`associate-+r+_binary64`
36×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	852
1	52	852
2	129	852
3	257	852
4	268	852

Stop Event

1×

saturated

Counts

223 → 150

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

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

localize4.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

71 → 42

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite72.0ms (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 d b)))
(+.f64 e (+.f64 d b))

Outputs

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

231 → 164

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite70.0ms (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 b (+.f64 c d))
(+.f64 e (+.f64 b (+.f64 c d)))

Outputs

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

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

simplify18.0ms (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	603
1	30	603
2	52	603
3	62	603

Stop Event

1×

saturated

Counts

231 → 160

Calls

Call 1

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

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

eval124.0ms (2%)

Compiler: Compiled 7362 to 2221 computations (69.8% saved)

prune97.0ms (1.6%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	514	2	516
Fresh	2	5	7
Picked	0	1	1
Done	0	11	11
Total	516	19	535

Error

Counts

535 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
	47.6b	(+.f64 d (+.f64 c (+.f64 e b)))
✓	47.6b	(+.f64 d (+.f64 b (+.f64 c e)))
✓	0.2b	(+.f64 (+.f64 (+.f64 a d) c) (+.f64 b e))
	0.3b	(+.f64 (+.f64 b (+.f64 e c)) (+.f64 a d))
✓	47.6b	(+.f64 c (+.f64 e (+.f64 d b)))
✓	0.2b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
✓	49.2b	(+.f64 c (+.f64 d e))
	0.3b	(+.f64 (+.f64 (fma.f64 1 e (+.f64 d c)) b) a)
	47.6b	(+.f64 c (+.f64 b (+.f64 d e)))
✓	47.6b	(+.f64 (+.f64 e d) (+.f64 c b))
✓	0.3b	(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
✓	50.5b	(+.f64 d e)
	49.2b	(+.f64 d (+.f64 e c))
✓	49.2b	(+.f64 e (+.f64 c d))
	0.3b	(+.f64 a (*.f64 (+.f64 d (+.f64 (+.f64 b c) e)) 1))
	51.9b	e
✓	47.6b	(+.f64 e (+.f64 b (+.f64 c d)))
✓	47.6b	(+.f64 b (+.f64 c (+.f64 d e)))

Compiler

Compiled 227 to 153 computations (32.6% saved)

regimes381.0ms (6.1%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

10 calls:

102.0ms	a
63.0ms	(+.f64 e d)
46.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
44.0ms	b
21.0ms	e

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 378 to 153 computations (59.5% saved)

regimes89.0ms (1.4%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

6 calls:

38.0ms	d
10.0ms	b
10.0ms	e
9.0ms	c
9.0ms	a

Results

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

Compiler

Compiled 132 to 63 computations (52.3% saved)

regimes57.0ms (0.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	d
9.0ms	a
6.0ms	c
6.0ms	b
5.0ms	e

Results

Error	Segments	Branch
49.2b	1	`a`
49.2b	1	`b`
49.2b	1	`c`
49.2b	1	`d`
49.2b	1	`e`

Compiler

Compiled 61 to 36 computations (41% saved)

regimes28.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
49.2b	1	`a`
49.2b	1	`b`
49.2b	1	`c`
49.2b	1	`d`
49.2b	1	`e`

Compiler

Compiled 56 to 35 computations (37.5% saved)

regimes90.0ms (1.4%)

Counts

4 → 1

Calls

Call 1

Inputs
e
e
e
(+.f64 d e)

Outputs
(+.f64 d e)

Calls

5 calls:

69.0ms	e
8.0ms	b
4.0ms	c
4.0ms	d
4.0ms	a

Results

Error	Segments	Branch
50.5b	1	`a`
50.5b	1	`b`
50.5b	1	`c`
50.5b	1	`d`
50.5b	1	`e`

Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes21.0ms (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:

6.0ms	c
4.0ms	e
4.0ms	a
3.0ms	b
3.0ms	d

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

10×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	42
1	27	42

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 60 to 42 computations (30% saved)

soundness0.0ms (0%)

end194.0ms (3.1%)

Remove: (sort a b c d e)
Compiler: Compiled 63 to 33 computations (47.6% saved)