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)

sample1.6s (28.4%)

Results

1.6s

8256×

body

256

valid

preprocess20.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

164×	`associate-+l+_binary64`
66×	`associate-+r+_binary64`
47×	`+-commutative_binary64`
1×	`swap-a-e`
1×	`swap-a-d`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	127	143
2	304	143
3	350	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 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) a) b)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e d) a) b) c)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e a) c) b) d)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 a d) c) b) e)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e d) b) c) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e b) c) d) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 b d) c) e) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e c) d) b) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 c d) e) b) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 d e) c) b) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))

Symmetry

(sort a b c d e)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

125×	`associate-+l+_binary64`
97×	`associate-+r+_binary64`
51×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	59	13
3	188	13
4	339	13
5	339	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 e (+.f64 (+.f64 d c) (+.f64 b a)))
(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))

eval1.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% 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
▶	0.3b	(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
▶	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series13.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite73.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	242	30
2	3975	30

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

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

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

simplify34.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

114×	`associate-+l+_binary64`
52×	`associate-+r+_binary64`
40×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1248
1	59	1248
2	144	1248
3	239	1248
4	246	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 (+.f64 d b))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
e
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
e
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 b e))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
d
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
d
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 d (+.f64 b e))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
c
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
c
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
b
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
b
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c d)
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
e
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
e
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c e)
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
d
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
d
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 d e)
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
c
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
c
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))
(+.f64 c (+.f64 d e))

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

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series11.0ms (0.2%)

Counts

3 → 81

Calls

36 calls:

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

rewrite78.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	242	30
2	3999	30

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

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

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

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

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

125×	`associate-+l+_binary64`
56×	`associate-+r+_binary64`
37×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	699
1	57	699
2	139	699
3	253	699
4	262	699

Stop Event

1×

saturated

Counts

301 → 245

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

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

eval87.0ms (1.6%)

Compiler: Compiled 6729 to 2009 computations (70.1% saved)

prune80.0ms (1.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	418	14	432
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	418	16	434

Error

Counts

434 → 16

Alt Table

Click to see full alt table

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

Compiler

Compiled 446 to 287 computations (35.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 11 computations (65.6% saved)

series5.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

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

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	242	13
2	3540	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

118×	`associate-+l+_binary64`
60×	`associate-+r+_binary64`
48×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	645
1	46	645
2	131	645
3	272	645
4	279	645

Stop Event

1×

saturated

Counts

95 → 52

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 57

Calls

21 calls:

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

rewrite63.0ms (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	3087	17

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

204 → 162

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series11.0ms (0.2%)

Counts

3 → 117

Calls

36 calls:

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

rewrite80.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	242	30
2	3999	30

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

Outputs

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

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

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

106×	`associate-+l+_binary64`
58×	`associate-+r+_binary64`
46×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1059
1	49	1059
2	128	1059
3	253	1059
4	256	1059

Stop Event

1×

saturated

Counts

337 → 247

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(+.f64 e (*.f64 1 (+.f64 a (+.f64 (+.f64 d b) c))))
	0.2b	(+.f64 a (+.f64 (+.f64 d b) c))
	0.1b	(+.f64 (+.f64 d b) c)
✓	0.1b	(+.f64 (+.f64 d b) c)
✓	0.2b	(+.f64 a (+.f64 (+.f64 d b) c))
✓	0.2b	(+.f64 e (*.f64 1 (+.f64 a (+.f64 (+.f64 d b) c))))

Compiler

Compiled 46 to 14 computations (69.6% saved)

series10.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite80.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`fma-def_binary64`
604×	`log-prod_binary64`
417×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	277	30
2	4089	30

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	1248
1	60	1248
2	137	1248
3	239	1248
4	242	1248

Stop Event

1×

saturated

Counts

371 → 251

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

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 1 (+.f64 c a) (+.f64 (+.f64 d b) e))
	0.1b	(+.f64 (+.f64 d b) e)
✓	0.1b	(+.f64 (+.f64 d b) e)
✓	0.3b	(fma.f64 1 (+.f64 c a) (+.f64 (+.f64 d b) e))

Compiler

Compiled 32 to 11 computations (65.6% saved)

series7.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite61.0ms (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	3531	20

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	852
1	46	852
2	131	852
3	265	852
4	271	852

Stop Event

1×

saturated

Counts

214 → 138

Calls

Call 1

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

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

eval259.0ms (4.7%)

Compiler: Compiled 13984 to 4357 computations (68.8% saved)

prune215.0ms (3.9%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	909	14	923
Fresh	7	2	9
Picked	1	0	1
Done	3	3	6
Total	920	19	939

Error

Counts

939 → 19

Alt Table

Click to see full alt table

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

Compiler

Compiled 462 to 295 computations (36.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series35.0ms (0.6%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
28.0ms	c	@	inf	(+.f64 (+.f64 c a) e)
0.0ms	c	@	0	(+.f64 (+.f64 (+.f64 c a) e) (+.f64 d b))
0.0ms	a	@	0	(+.f64 (+.f64 c a) e)
0.0ms	c	@	-inf	(+.f64 (+.f64 c a) e)
0.0ms	a	@	inf	(+.f64 (+.f64 c a) e)

rewrite73.0ms (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	4032	20

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

106×	`associate-+l+_binary64`
61×	`associate-+r+_binary64`
37×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	852
1	54	852
2	136	852
3	242	852
4	245	852

Stop Event

1×

saturated

Counts

223 → 150

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite85.0ms (1.5%)

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	3087	17

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

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

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

231 → 164

Calls

Call 1

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

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

localize8.0ms (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 (+.f64 d b) (+.f64 c e))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite59.0ms (1.1%)

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	3130	10

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

158 → 124

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite73.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
442×	`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	23
1	242	23
2	4039	23

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

126×	`associate-+l+_binary64`
56×	`associate-+r+_binary64`
37×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1041
1	57	1041
2	139	1041
3	256	1041
4	267	1041

Stop Event

1×

saturated

Counts

235 → 151

Calls

Call 1

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

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

eval134.0ms (2.4%)

Compiler: Compiled 9174 to 2626 computations (71.4% saved)

prune116.0ms (2.1%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	581	8	589
Fresh	5	6	11
Picked	0	1	1
Done	0	7	7
Total	586	22	608

Error

Counts

608 → 22

Alt Table

Click to see full alt table

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

Compiler

Compiled 486 to 303 computations (37.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

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

rewrite91.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
442×	`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	23
1	242	23
2	4039	23

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1041
1	58	1041
2	142	1041
3	246	1041
4	249	1041

Stop Event

1×

saturated

Counts

235 → 148

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (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	2177	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.3%)

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 → 44

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite61.0ms (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	3087	17

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

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

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

231 → 164

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`fma-def_binary64`
466×	`log-prod_binary64`
407×	`pow-prod-down_binary64`
313×	`fma-neg_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	191	17
2	3076	17

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

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

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

simplify24.0ms (0.4%)

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

235 → 168

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 46 to 12 computations (73.9% saved)

series7.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`fma-def_binary64`
593×	`log-prod_binary64`
430×	`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	3987	23

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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

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

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1041
1	46	1041
2	131	1041
3	265	1041
4	271	1041

Stop Event

1×

saturated

Counts

264 → 180

Calls

Call 1

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

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

eval309.0ms (5.5%)

Compiler: Compiled 11769 to 3813 computations (67.6% saved)

prune284.0ms (5.1%)

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	772	5	777
Fresh	3	6	9
Picked	0	1	1
Done	1	11	12
Total	776	23	799

Error

Counts

799 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.6b	(+.f64 e (+.f64 c (+.f64 d b)))
	47.6b	(+.f64 d (+.f64 b (+.f64 e c)))
✓	47.6b	(+.f64 (+.f64 d (+.f64 b c)) e)
	50.5b	(+.f64 e d)
	51.9b	e
	49.2b	(+.f64 c (+.f64 d e))
✓	0.3b	(*.f64 1 (+.f64 c (+.f64 (+.f64 a (+.f64 d b)) e)))
	47.6b	(+.f64 (+.f64 c (+.f64 d e)) b)
✓	0.2b	(+.f64 (+.f64 (+.f64 c a) e) (+.f64 d b))
✓	47.6b	(+.f64 (+.f64 d b) (+.f64 c e))
	0.5b	(+.f64 (/.f64 (-.f64 (.f64 (+.f64 c (+.f64 e a)) (+.f64 c (+.f64 e a))) (.f64 d d)) (-.f64 (+.f64 c (+.f64 e a)) d)) b)
✓	0.3b	(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
✓	49.2b	(+.f64 d (+.f64 e c))
	49.2b	(+.f64 (+.f64 c d) e)
	0.3b	(+.f64 e (+.f64 c (/.f64 (-.f64 (.f64 (+.f64 a d) (+.f64 a d)) (.f64 b b)) (-.f64 (+.f64 a d) b))))
	47.6b	(+.f64 c (+.f64 d (+.f64 b e)))
✓	47.6b	(+.f64 c (+.f64 b (+.f64 d e)))
✓	0.4b	(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
	0.3b	(+.f64 a (+.f64 (+.f64 d b) (+.f64 e c)))
	47.6b	(+.f64 d (+.f64 e (+.f64 b c)))
✓	47.6b	(+.f64 c (+.f64 e (+.f64 b d)))
✓	0.3b	(+.f64 (+.f64 (+.f64 e c) (+.f64 a d)) b)
✓	0.3b	(+.f64 (+.f64 (+.f64 c a) (+.f64 d b)) e)

Compiler

Compiled 308 to 195 computations (36.7% saved)

regimes257.0ms (4.6%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

6 calls:

134.0ms	a
56.0ms	(+.f64 e d)
23.0ms	b
14.0ms	d
13.0ms	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 e d)`

Compiler

Compiled 236 to 99 computations (58.1% saved)

regimes77.0ms (1.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	d
12.0ms	b
12.0ms	c
11.0ms	(+.f64 e d)
9.0ms	e

Results

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

Compiler

Compiled 170 to 78 computations (54.1% saved)

regimes70.0ms (1.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	a
9.0ms	e
8.0ms	(+.f64 e d)
8.0ms	c
8.0ms	d

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 125 to 64 computations (48.8% saved)

regimes137.0ms (2.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

111.0ms	b
5.0ms	e
5.0ms	(+.f64 e d)
4.0ms	c
4.0ms	d

Results

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

Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes23.0ms (0.4%)

Accuracy

Total -1.5b remaining (-2.9%)

Threshold costs -1.5b (-2.9%)

Counts

2 → 1

Calls

Call 1

Inputs
e
(+.f64 e d)

Outputs
(+.f64 e d)

Calls

6 calls:

5.0ms	d
3.0ms	(+.f64 e d)
3.0ms	e
3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
50.5b	1	`a`
50.5b	1	`b`
50.5b	1	`c`
50.5b	1	`d`
50.5b	1	`e`
50.5b	1	`(+.f64 e d)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	30	48

Stop Event

1×

saturated

Calls

Call 1

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

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

end52.0ms (0.9%)

Stop Event

1×

fuel

Remove

(sort a b c d e)

Compiler

Compiled 131 to 78 computations (40.5% saved)