Details

analyze530.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	6
9.4%	9.4%	90.5%	0.1%	0%	0%	0%	7
14.1%	14%	85.8%	0.1%	0%	0%	0%	8
19.7%	19.5%	79.6%	0.1%	0.8%	0%	0%	9
26.3%	23.8%	66.7%	0.1%	3.1%	4.7%	1.6%	10
30.2%	27.3%	63%	0.1%	3.3%	4.7%	1.6%	11
34.9%	30%	56.1%	0.1%	5.2%	5.5%	3.1%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample3.1s (19.4%)

Results

1.8s	8256×	body	256	valid
735.0ms	2592×	body	256	infinite
531.0ms	3401×	body	256	invalid

Bogosity

preprocess101.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1120×	`associate-/r/_binary64`
756×	`sqr-pow_binary64`
529×	`associate-l_binary64`
500×	`pow-sqr_binary64`
399×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	71	72
2	171	68
3	370	68
4	1024	68
5	3472	68
6	4280	68
7	4463	68
8	4752	68
9	5199	68
10	6034	68
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (.f64 k (pow.f64 a m)) (+.f64 (+.f64 1 (.f64 10 a)) (*.f64 a a)))
(/.f64 (.f64 m (pow.f64 k a)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (.f64 a (pow.f64 m k)) (+.f64 (+.f64 1 (.f64 10 m)) (*.f64 m m)))

Outputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (+.f64 (.f64 k 10) (*.f64 k k))))
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k k (fma.f64 k 10 1)))
(*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 k (pow.f64 a m)) (+.f64 (+.f64 1 (.f64 10 a)) (*.f64 a a)))
(/.f64 (.f64 k (pow.f64 a m)) (+.f64 1 (+.f64 (.f64 a 10) (*.f64 a a))))
(*.f64 (/.f64 k (fma.f64 a a (fma.f64 a 10 1))) (pow.f64 a m))
(*.f64 (pow.f64 a m) (/.f64 k (fma.f64 a (+.f64 a 10) 1)))
(*.f64 k (/.f64 (pow.f64 a m) (fma.f64 a (+.f64 a 10) 1)))
(/.f64 (*.f64 k (pow.f64 a m)) (fma.f64 a (+.f64 a 10) 1))
(/.f64 (.f64 m (pow.f64 k a)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 m (/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k a)))
(/.f64 m (/.f64 (fma.f64 k k (fma.f64 k 10 1)) (pow.f64 k a)))
(/.f64 (*.f64 m (pow.f64 k a)) (fma.f64 k (+.f64 k 10) 1))
(*.f64 m (/.f64 (pow.f64 k a) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 a (pow.f64 m k)) (+.f64 (+.f64 1 (.f64 10 m)) (*.f64 m m)))
(/.f64 a (/.f64 (+.f64 (+.f64 1 (.f64 m 10)) (.f64 m m)) (pow.f64 m k)))
(/.f64 (*.f64 a (pow.f64 m k)) (fma.f64 m m (fma.f64 m 10 1)))
(*.f64 (pow.f64 m k) (/.f64 a (fma.f64 m (+.f64 m 10) 1)))
(/.f64 (pow.f64 m k) (/.f64 (fma.f64 m (+.f64 m 10) 1) a))
(*.f64 a (/.f64 (pow.f64 m k) (fma.f64 m (+.f64 m 10) 1)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

601×	`associate-l_binary64`
535×	`*-commutative_binary64`
516×	`pow-sqr_binary64`
506×	`sqr-pow_binary64`
393×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	18
2	56	17
3	111	17
4	285	17
5	914	17
6	2898	17
7	4370	17
8	4462	17
9	4626	17
10	4845	17
11	5231	17
12	5854	17
13	7207	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Outputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 a (/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m)))
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k k (fma.f64 k 10 1)))
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

eval1.0ms (0%)

Compiler: Compiled 30 to 18 computations (40% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
▶	1.5b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize61.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 k (+.f64 k 10) 1)
✓	0.2b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	1.3b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series104.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
85.0ms	a	@	0	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
3.0ms	m	@	-inf	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
2.0ms	k	@	-inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	k	@	inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
1.0ms	m	@	0	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
345×	`pow-prod-down_binary64`
312×	`pow2_binary64`
220×	`pow-unpow_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	236	39
2	3052	39

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(fma.f64 k (+.f64 k 10) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (.f64 a (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a (pow.f64 k m))) (neg.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a (pow.f64 k m)) 1) (fma.f64 k (+.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 k m)) a) (neg.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (neg.f64 (pow.f64 k m))) (neg.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (.f64 a (pow.f64 k m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 k m) (/.f64 1 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 k k) m)) (.f64 (cbrt.f64 (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2) (cbrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 k m)) (/.f64 1 (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 k m)) (.f64 (sqrt.f64 (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 k k) m)) 1) (/.f64 (cbrt.f64 (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (pow.f64 k m)) 1) (/.f64 (sqrt.f64 (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) -2) (/.f64 (pow.f64 k m) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 k k) m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (/.f64 (sqrt.f64 (pow.f64 k m)) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) -1/2) (/.f64 (pow.f64 k m) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 k k) m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (cbrt.f64 (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 k (.f64 m 3)) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 k m) (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 k (.f64 m 3)) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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Outputs

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(pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 k m) (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 k (*.f64 m 3)) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 k (+.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 k (+.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 k (+.f64 k 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 k (+.f64 k 10)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 k (+.f64 k 10) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 k (+.f64 k 10) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 k (+.f64 k 10) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 k (+.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 k (+.f64 k 10) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3) 1) (+.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 2) (-.f64 1 (*.f64 (*.f64 k (+.f64 k 10)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 2) 1) (fma.f64 k (+.f64 k 10) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 k (+.f64 k 10) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 k (+.f64 k 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 k (+.f64 k 10)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 k (+.f64 k 10)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 k (+.f64 k 10)))) 2))))))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

416×	`times-frac_binary64`
400×	`associate-/l*_binary64`
344×	`*-commutative_binary64`
291×	`associate-+l+_binary64`
284×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2292
1	573	2072
2	2070	1660
3	6689	1580

Stop Event

1×	node limit

Counts

175 → 174

Calls

Call 1

Inputs
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (*.f64 (log.f64 k) m)) a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 -10 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))) (+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -10 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (.f64 -10 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))))) (pow.f64 k 5))))))
(/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 5))) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/6 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(exp.f64 (*.f64 (log.f64 k) m))
(+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -10 (.f64 k (exp.f64 (.f64 (log.f64 k) m)))))
(+.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m)))))) (.f64 -10 (.f64 k (exp.f64 (*.f64 (log.f64 k) m))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m))))) (.f64 -10 (exp.f64 (.f64 (log.f64 k) m)))))) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m)))))) (.f64 -10 (.f64 k (exp.f64 (*.f64 (log.f64 k) m)))))))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (pow.f64 k 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -10 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (.f64 -10 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (pow.f64 k 5))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2)))))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (.f64 10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 5)))))))
(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (*.f64 k (+.f64 k 10))))))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))

Outputs
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(fma.f64 -10 (.f64 k (.f64 (pow.f64 k m) a)) (*.f64 (pow.f64 k m) a))
(.f64 (+.f64 (.f64 k -10) 1) (*.f64 (pow.f64 k m) a))
(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (*.f64 (log.f64 k) m)) a)))
(fma.f64 -10 (.f64 k (.f64 (pow.f64 k m) a)) (fma.f64 -1 (.f64 (.f64 k k) (.f64 -99 (.f64 (pow.f64 k m) a))) (*.f64 (pow.f64 k m) a)))
(+.f64 (.f64 (+.f64 (.f64 k -10) 1) (.f64 (pow.f64 k m) a)) (.f64 (.f64 a (.f64 (pow.f64 k m) -99)) (neg.f64 (*.f64 k k))))
(.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k -10)) (.f64 -99 (*.f64 k (neg.f64 k)))))
(.f64 (.f64 (pow.f64 k m) a) (-.f64 (+.f64 1 (.f64 k -10)) (.f64 (*.f64 k k) -99)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 -10 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))) (+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(fma.f64 -1 (.f64 (pow.f64 k 3) (.f64 -10 (+.f64 (.f64 -99 (.f64 (pow.f64 k m) a)) (.f64 (pow.f64 k m) a)))) (fma.f64 -10 (.f64 k (.f64 (pow.f64 k m) a)) (fma.f64 -1 (.f64 (.f64 k k) (.f64 -99 (.f64 (pow.f64 k m) a))) (.f64 (pow.f64 k m) a))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 k -10) 1) (.f64 (pow.f64 k m) a)) (.f64 (.f64 a (.f64 (pow.f64 k m) -99)) (neg.f64 (.f64 k k)))) (.f64 (.f64 (pow.f64 k 3) -10) (.f64 -98 (*.f64 (pow.f64 k m) a))))
(-.f64 (.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k -10)) (.f64 -99 (.f64 k (neg.f64 k))))) (.f64 (pow.f64 k 3) (.f64 (.f64 (pow.f64 k m) a) 980)))
(fma.f64 (neg.f64 (pow.f64 k 3)) (.f64 (.f64 (pow.f64 k m) a) 980) (.f64 (.f64 (pow.f64 k m) a) (-.f64 (+.f64 1 (.f64 k -10)) (.f64 (*.f64 k k) -99))))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(/.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))) (/.f64 (.f64 k k) a))
(.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))
(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))) (/.f64 (.f64 k k) a)) (.f64 -10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))))))
(fma.f64 -10 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (/.f64 a (*.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)))
(.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (*.f64 k k))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3)))))
(fma.f64 -1 (/.f64 (.f64 -99 (.f64 a (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))) (pow.f64 k 4)) (+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))) (/.f64 (.f64 k k) a)) (.f64 -10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (*.f64 m (neg.f64 (log.f64 k))))))))))
(+.f64 (fma.f64 -10 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))) (/.f64 (.f64 99 (*.f64 a (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))) (pow.f64 k 4)))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))) (/.f64 99 (/.f64 (pow.f64 k 4) (.f64 (pow.f64 k m) a))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))) (/.f64 (.f64 (pow.f64 k m) 99) (/.f64 (pow.f64 k 4) a)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -10 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (.f64 -10 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))))) (pow.f64 k 5))))))
(fma.f64 -1 (/.f64 (.f64 -99 (.f64 a (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))) (pow.f64 k 4)) (+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))) (/.f64 (.f64 k k) a)) (fma.f64 -10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))) (neg.f64 (/.f64 (.f64 -10 (+.f64 (.f64 a (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))) (.f64 -99 (.f64 a (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))))) (pow.f64 k 5))))))
(+.f64 (fma.f64 -10 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))) (+.f64 (/.f64 (.f64 10 (.f64 -98 (.f64 a (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)))) (pow.f64 k 5)) (/.f64 (.f64 99 (.f64 a (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))) (pow.f64 k 4))))
(-.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))) (-.f64 (/.f64 (.f64 (.f64 (pow.f64 k m) a) 980) (pow.f64 k 5)) (/.f64 99 (/.f64 (pow.f64 k 4) (.f64 (pow.f64 k m) a)))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))) (-.f64 (/.f64 (.f64 (pow.f64 k m) 99) (/.f64 (pow.f64 k 4) a)) (/.f64 (.f64 (.f64 (pow.f64 k m) a) 980) (pow.f64 k 5))))
(/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))
(/.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))) (/.f64 (.f64 k k) a))
(.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))
(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
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(.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (*.f64 k k))))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (.f64 10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 5)))))))
(fma.f64 -1 (/.f64 (.f64 -99 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m)) (pow.f64 k 4)) (+.f64 (fma.f64 -10 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m) (pow.f64 k 3)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m) (.f64 k k))) (.f64 10 (+.f64 (/.f64 (.f64 -99 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m)) (pow.f64 k 5)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m) (pow.f64 k 5))))))
(+.f64 (fma.f64 -10 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) (pow.f64 k 3)) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) (.f64 k k))) (+.f64 (fma.f64 10 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) (pow.f64 k 5)) (/.f64 (.f64 -990 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 5))) (/.f64 (*.f64 99 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 4))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 k k))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) 99) (pow.f64 k 4)) (fma.f64 10 (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (pow.f64 k 5)) (/.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) -990) (pow.f64 k 5)))))
(+.f64 (+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 k m) (.f64 k k))) (/.f64 (*.f64 (pow.f64 k m) 99) (pow.f64 k 4))) (fma.f64 10 (/.f64 (pow.f64 k m) (pow.f64 k 5)) (/.f64 -990 (/.f64 (pow.f64 k 5) (pow.f64 k m)))))
(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 1 (fma.f64 k (+.f64 k 10) 1))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m)))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (*.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (/.f64 (*.f64 (log.f64 k) m) (fma.f64 k (+.f64 k 10) 1)))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(+.f64 (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m)) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 k) 2) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (*.f64 m m))))))
(+.f64 (.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1)) (*.f64 m m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (fma.f64 k (+.f64 k 10) 1)) (fma.f64 1/2 (.f64 (*.f64 m m) (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1))) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (*.f64 k (+.f64 k 10))))))))
(+.f64 (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m)) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 k) 2) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 m m))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (*.f64 k (+.f64 k 10))))))))
(+.f64 (.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m) (+.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1)) (.f64 m m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (fma.f64 k (+.f64 k 10) 1)))))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (+.f64 (/.f64 (.f64 (log.f64 k) m) (fma.f64 k (+.f64 k 10) 1)) (fma.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (fma.f64 k (+.f64 k 10) 1)) (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m)) (/.f64 (fma.f64 k (+.f64 k 10) 1) 1/2)))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 k 10))
(fma.f64 k 10 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	0.0b	(+.f64 1 (*.f64 10 k))
✓	1.5b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 51 to 25 computations (51% saved)

series10.0ms (0.1%)

Counts

3 → 51

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
1.0ms	m	@	inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
1.0ms	m	@	0	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
1.0ms	a	@	inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
1.0ms	m	@	-inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`log-prod_binary64`
529×	`fma-def_binary64`
371×	`pow2_binary64`
254×	`pow1/3_binary64`
248×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	285	32
2	4008	30

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

Inputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(+.f64 1 (*.f64 10 k))
(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1 (/.f64 (fma.f64 k (+.f64 10 k) 1) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 (pow.f64 k m) (/.f64 1 (fma.f64 k (+.f64 10 k) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 k m) (.f64 a (/.f64 1 (fma.f64 k (+.f64 10 k) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 10 k) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) (.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k (+.f64 10 k) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))) (pow.f64 (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))) 2) (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k (+.f64 10 k) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))) (sqrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (neg.f64 (pow.f64 k m))) (/.f64 1 (neg.f64 (fma.f64 k (+.f64 10 k) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 k (+.f64 10 k) 1)) (.f64 a (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 1) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 10 k) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 k m) 1) (/.f64 a (fma.f64 k (+.f64 10 k) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) 1) (/.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (fma.f64 k 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 k 10 1)) (+.f64 1 (expm1.f64 (*.f64 k k)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 k 10 1))) (+.f64 1 (expm1.f64 (*.f64 k k)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 k k))) (exp.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 k k)) (+.f64 1 (expm1.f64 (fma.f64 k 10 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 k k))) (+.f64 1 (expm1.f64 (fma.f64 k 10 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 k (+.f64 10 k) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 k (+.f64 10 k) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 k (+.f64 10 k) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 k (+.f64 10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 k (+.f64 10 k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 k k (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 k 10 (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 k (+.f64 10 k) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 k 10) (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 k 10 1) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 k k) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 k (+.f64 10 k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 10 k (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 k 10) 1 (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 k 10 1) 1 (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 k k) 1 (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 k) 2) (cbrt.f64 (pow.f64 k 4)) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (cbrt.f64 k) k) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (cbrt.f64 k) 10) (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 k 4)) (pow.f64 (cbrt.f64 k) 2) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 k 10)) (pow.f64 (cbrt.f64 (*.f64 k 10)) 2) (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 k 10)) 2) (cbrt.f64 (*.f64 k 10)) (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 k 10 1)) (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 2) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 2) (cbrt.f64 (fma.f64 k 10 1)) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 k 10)) (sqrt.f64 (*.f64 k 10)) (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) k) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) 10) (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 k 10 1)) (sqrt.f64 (fma.f64 k 10 1)) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1000 (pow.f64 k 3) 1) (/.f64 1 (fma.f64 (*.f64 k 10) (fma.f64 k 10 -1) 1)) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (*.f64 k k) 100)) (/.f64 1 (+.f64 1 (*.f64 -10 k))) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 k (sqrt.f64 k)) (sqrt.f64 k) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 10 k))) 2) (cbrt.f64 (*.f64 k (+.f64 10 k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 k (sqrt.f64 (*.f64 k 10))) (hypot.f64 k (sqrt.f64 (*.f64 k 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 k (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k) (+.f64 1 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 k)) (sqrt.f64 k) (+.f64 1 (*.f64 k k)))))))

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

687×	`associate-r_binary64`
605×	`associate-l_binary64`
574×	`fma-def_binary64`
297×	`times-frac_binary64`
277×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1498
1	360	1319
2	1321	1009
3	6817	973

Stop Event

1×	node limit

Counts

213 → 203

Calls

Call 1

Inputs
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (*.f64 (log.f64 k) m)) a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 -10 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))) (+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -10 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (.f64 -10 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))))) (pow.f64 k 5))))))
(/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 5))) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))))
(/.f64 a (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(+.f64 (/.f64 a (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k))))) (+.f64 (/.f64 a (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k))))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k))))) (+.f64 (/.f64 a (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (+.f64 (pow.f64 k 2) (.f64 10 k)))))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
1
(*.f64 10 k)
(*.f64 10 k)
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))

Outputs
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
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(fma.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) a)) (+.f64 (.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 (log.f64 k) m)) (fma.f64 1/2 (/.f64 (.f64 m (.f64 m (pow.f64 (log.f64 k) 2))) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) a)) (/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10)))))))
(fma.f64 1/2 (.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (.f64 m m))) (pow.f64 (log.f64 k) 2)) (fma.f64 1/6 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k k)) (*.f64 k 10)))
(.f64 (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))) a)
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
1
(*.f64 10 k)
(*.f64 k 10)
(*.f64 10 k)
(*.f64 k 10)
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 k 10))
(fma.f64 k 10 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 (+.f64 1 (.f64 k k)) (.f64 k 10))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 (+.f64 1 (.f64 k k)) (.f64 k 10))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 (+.f64 1 (.f64 k k)) (.f64 k 10))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 (+.f64 1 (.f64 k k)) (.f64 k 10))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 (+.f64 1 (.f64 k k)) (.f64 k 10))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 (+.f64 1 (.f64 k k)) (.f64 k 10))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)

eval200.0ms (1.3%)

Compiler: Compiled 8660 to 5002 computations (42.2% saved)

prune88.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	368	9	377
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	370	9	379

Error

1.5b

Counts

379 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(/.f64 (/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))
▶	1.6b	(/.f64 (*.f64 a (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3))
▶	11.3b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
▶	23.7b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
▶	15.8b	(*.f64 (pow.f64 k m) a)
▶	1.6b	(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))
	23.7b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
	16.0b	(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
	5.7b	(*.f64 a (cbrt.f64 (pow.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) 3)))

Compiler

Compiled 280 to 202 computations (27.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)
	0.2b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	1.3b	(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))
✓	6.8b	(sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 70 to 41 computations (41.4% saved)

series51.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	k	@	-inf	(sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	k	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)
2.0ms	k	@	inf	(sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	m	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)
1.0ms	k	@	0	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
392×	`pow-prod-down_binary64`
342×	`pow2_binary64`
242×	`pow-unpow_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	300	47
2	3434	47

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

(sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))

(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 k m) a) (fma.f64 k (+.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 k m)) a) (neg.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 (pow.f64 k m))) (neg.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)) 1))))))

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simplify187.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-rgt-in_binary64`
693×	`distribute-lft-in_binary64`
487×	`times-frac_binary64`
370×	`fma-def_binary64`
239×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	4445
1	1006	3754
2	3929	3025

Stop Event

1×	node limit

Counts

189 → 206

Calls

Call 1

Inputs
(sqrt.f64 (exp.f64 (*.f64 (log.f64 k) m)))
(+.f64 (.f64 -5 (.f64 k (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))))) (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))))
(+.f64 (.f64 -5 (.f64 k (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))) (.f64 -1/2 (.f64 (.f64 (pow.f64 k 2) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m)))) 2) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m)))))) (sqrt.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 k) m))))))))
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(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2)))
(+.f64 (.f64 25 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) 2) (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2)))))
(+.f64 (.f64 25 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 4))) (+.f64 (.f64 5 (/.f64 (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) 2) (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) 2) (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5 (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) 2) (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))))) (+.f64 (.f64 -10 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (.f64 -10 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 5))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2)))))))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) 2) (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) (pow.f64 k 4))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)) (.f64 25 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 4))))))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) 2) (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) (pow.f64 k 4))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -5 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) 2) (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (.f64 -1 (+.f64 (.f64 10 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) (+.f64 (.f64 -5 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) 2) (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (.f64 10 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))))) (pow.f64 k 5))) (.f64 25 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 4)))))))
(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10)))))) (pow.f64 (.f64 1/2 (.f64 (log.f64 k) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))))) 2)) (pow.f64 m 2))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10)))))) (pow.f64 (.f64 1/2 (.f64 (log.f64 k) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))))) 2)) (pow.f64 m 2)) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (.f64 k (+.f64 k 10))))))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))

Outputs
(sqrt.f64 (exp.f64 (*.f64 (log.f64 k) m)))
(sqrt.f64 (pow.f64 k m))
(+.f64 (.f64 -5 (.f64 k (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))))) (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))))
(fma.f64 -5 (*.f64 k (sqrt.f64 (pow.f64 k m))) (sqrt.f64 (pow.f64 k m)))
(.f64 (+.f64 (.f64 k -5) 1) (sqrt.f64 (pow.f64 k m)))
(+.f64 (.f64 -5 (.f64 k (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m))) (.f64 -1/2 (.f64 (.f64 (pow.f64 k 2) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 (log.f64 k) m)))) 2) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m)))))) (sqrt.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 k) m))))))))
(+.f64 (fma.f64 -5 (.f64 k (sqrt.f64 (pow.f64 k m))) (sqrt.f64 (pow.f64 k m))) (.f64 -1/2 (.f64 (.f64 k k) (.f64 (+.f64 (+.f64 (pow.f64 k m) (pow.f64 (.f64 (sqrt.f64 (pow.f64 k m)) -5) 2)) (*.f64 (pow.f64 k m) -100)) (sqrt.f64 (/.f64 1 (pow.f64 k m)))))))
(+.f64 (.f64 (+.f64 (.f64 k -5) 1) (sqrt.f64 (pow.f64 k m))) (.f64 -1/2 (.f64 (.f64 (.f64 k k) (fma.f64 -99 (pow.f64 k m) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 k m)) -5) 2))) (sqrt.f64 (/.f64 1 (pow.f64 k m))))))
(+.f64 (.f64 (+.f64 (.f64 k -5) 1) (sqrt.f64 (pow.f64 k m))) (.f64 (.f64 k (.f64 k (fma.f64 -99 (pow.f64 k m) (.f64 (pow.f64 k m) 25)))) (*.f64 (sqrt.f64 (pow.f64 k (neg.f64 m))) -1/2)))
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(+.f64 (fma.f64 -5 (.f64 k (sqrt.f64 (pow.f64 k m))) (sqrt.f64 (pow.f64 k m))) (.f64 -1/2 (+.f64 (.f64 (pow.f64 k 3) (.f64 (fma.f64 -10 (.f64 -99 (pow.f64 k m)) (fma.f64 5 (+.f64 (pow.f64 (.f64 (sqrt.f64 (pow.f64 k m)) -5) 2) (.f64 -99 (pow.f64 k m))) (.f64 (pow.f64 k m) -10))) (sqrt.f64 (/.f64 1 (pow.f64 k m))))) (.f64 (.f64 k k) (.f64 (+.f64 (+.f64 (pow.f64 k m) (pow.f64 (.f64 (sqrt.f64 (pow.f64 k m)) -5) 2)) (*.f64 (pow.f64 k m) -100)) (sqrt.f64 (/.f64 1 (pow.f64 k m))))))))
(+.f64 (.f64 (+.f64 (.f64 k -5) 1) (sqrt.f64 (pow.f64 k m))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 k m))) (+.f64 (.f64 (pow.f64 k 3) (fma.f64 5 (fma.f64 -99 (pow.f64 k m) (pow.f64 (.f64 (sqrt.f64 (pow.f64 k m)) -5) 2)) (.f64 -10 (.f64 -98 (pow.f64 k m))))) (.f64 (.f64 k k) (fma.f64 -99 (pow.f64 k m) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 k m)) -5) 2)))))))
(+.f64 (.f64 (+.f64 (.f64 k -5) 1) (sqrt.f64 (pow.f64 k m))) (.f64 (sqrt.f64 (pow.f64 k (neg.f64 m))) (.f64 -1/2 (.f64 (.f64 k k) (+.f64 (.f64 k (fma.f64 5 (fma.f64 -99 (pow.f64 k m) (.f64 (pow.f64 k m) 25)) (.f64 (pow.f64 k m) 980))) (fma.f64 -99 (pow.f64 k m) (.f64 (pow.f64 k m) 25)))))))
(.f64 (/.f64 1 k) (sqrt.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))))
(.f64 (/.f64 1 k) (sqrt.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))))
(/.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (pow.f64 k m)))) k)
(/.f64 (sqrt.f64 (pow.f64 k m)) k)
(+.f64 (.f64 -5 (.f64 (/.f64 1 (pow.f64 k 2)) (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (.f64 (/.f64 1 k) (sqrt.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))))))
(fma.f64 -5 (.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))) (/.f64 1 (.f64 k k))) (.f64 (/.f64 1 k) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 m (neg.f64 (log.f64 k))))))))
(.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (pow.f64 k m)))) (+.f64 (/.f64 1 k) (/.f64 -5 (.f64 k k))))
(.f64 (sqrt.f64 (pow.f64 k m)) (+.f64 (/.f64 1 k) (/.f64 -5 (.f64 k k))))
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(fma.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))) 2) (.f64 -99 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))) (pow.f64 k 3)) (sqrt.f64 (exp.f64 (neg.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))))) (fma.f64 -5 (.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))) (/.f64 1 (.f64 k k))) (.f64 (/.f64 1 k) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 m (neg.f64 (log.f64 k)))))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -99 (/.f64 1 (/.f64 1 (pow.f64 k m))) (pow.f64 (.f64 -5 (sqrt.f64 (/.f64 1 (/.f64 1 (pow.f64 k m))))) 2)) (/.f64 (pow.f64 k 3) (sqrt.f64 (/.f64 1 (pow.f64 k m))))) (.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (pow.f64 k m)))) (+.f64 (/.f64 1 k) (/.f64 -5 (*.f64 k k)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (pow.f64 k (neg.f64 m))) (/.f64 (fma.f64 -99 (pow.f64 k m) (.f64 (pow.f64 k m) 25)) (pow.f64 k 3))) (.f64 (sqrt.f64 (pow.f64 k m)) (+.f64 (/.f64 1 k) (/.f64 -5 (.f64 k k)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 (.f64 5 (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) 2) (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))))) (+.f64 (.f64 -10 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (.f64 -10 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4)) (sqrt.f64 (/.f64 1 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 -5 (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) 2) (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 3)) (sqrt.f64 (/.f64 1 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))))) (+.f64 (.f64 -5 (.f64 (/.f64 1 (pow.f64 k 2)) (sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (.f64 (/.f64 1 k) (sqrt.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))))))))
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(fma.f64 -10 (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (pow.f64 k 3)) (-.f64 (.f64 (+.f64 (/.f64 25 (.f64 k k)) 1) (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 k k))) (/.f64 (fma.f64 -99 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) 25)) (pow.f64 k 4))))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) 2) (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) (pow.f64 k 4))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -5 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) 2) (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (.f64 -1 (+.f64 (.f64 10 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) (+.f64 (.f64 -5 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))) 2) (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (.f64 10 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))))) (pow.f64 k 5))) (.f64 25 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 4)))))))
(fma.f64 -10 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m) (pow.f64 k 3)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) 2) (.f64 -99 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) (pow.f64 k 4)) (+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m) (.f64 k k)) (fma.f64 -1 (/.f64 (fma.f64 -5 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) 2) (.f64 -99 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) (neg.f64 (fma.f64 10 (.f64 -99 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m)) (fma.f64 -5 (+.f64 (pow.f64 (.f64 5 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) 2) (.f64 -99 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) (.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m) 10))))) (pow.f64 k 5)) (.f64 25 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m) (pow.f64 k 4)))))))
(fma.f64 -10 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) (pow.f64 k 3)) (+.f64 (-.f64 (fma.f64 25 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) (pow.f64 k 4)) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) (.f64 k k))) (/.f64 (fma.f64 -99 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) (pow.f64 (.f64 5 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))) 2)) (pow.f64 k 4))) (/.f64 (neg.f64 (-.f64 (fma.f64 -5 (pow.f64 (.f64 5 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))) 2) (.f64 495 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))) (+.f64 (.f64 -990 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m)) (fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) 10 (fma.f64 -5 (pow.f64 (.f64 5 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))) 2) (*.f64 495 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))))))) (pow.f64 k 5))))
(fma.f64 -10 (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (pow.f64 k 3)) (-.f64 (-.f64 (.f64 (+.f64 (/.f64 25 (.f64 k k)) 1) (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 k k))) (/.f64 (fma.f64 -99 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) 25)) (pow.f64 k 4))) (/.f64 (-.f64 (fma.f64 -5 (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) 25) (.f64 495 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))) (+.f64 (fma.f64 -5 (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) 25) (.f64 495 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))) (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) -980))) (pow.f64 k 5))))
(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 1 (fma.f64 k (+.f64 k 10) 1))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m)))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (*.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (/.f64 (log.f64 k) (/.f64 (fma.f64 k (+.f64 k 10) 1) m)))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10)))))) (pow.f64 (.f64 1/2 (.f64 (log.f64 k) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))))) 2)) (pow.f64 m 2))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m))) (.f64 (.f64 m m) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10)))) 3/4) (pow.f64 (.f64 (.f64 1/2 (log.f64 k)) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))) 2))))
(+.f64 (.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m) (fma.f64 (.f64 m m) (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) 3/4) (fma.f64 k (+.f64 k 10) 1)) (pow.f64 (.f64 (log.f64 k) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1))) 1/2)) 2)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 m (+.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1)) 3/4 (.f64 (.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (pow.f64 (log.f64 k) 2)) -1/4)) m))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10)))))) (pow.f64 (.f64 1/2 (.f64 (log.f64 k) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))))) 2)) (pow.f64 m 2)) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (.f64 k (+.f64 k 10))))))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m))) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 k) 2) (+.f64 1 (.f64 k (+.f64 k 10)))) 3/4) (pow.f64 (.f64 (.f64 1/2 (log.f64 k)) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))) 2)) (.f64 m m) (/.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (+.f64 1 (*.f64 k (+.f64 k 10))))))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (+.f64 (.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m) (fma.f64 (.f64 m m) (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) 3/4) (fma.f64 k (+.f64 k 10) 1)) (pow.f64 (.f64 (log.f64 k) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1))) 1/2)) 2)) (/.f64 (.f64 1/6 (*.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (fma.f64 k (+.f64 k 10) 1)))))
(+.f64 (+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 m (+.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1)) 3/4 (.f64 (.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (pow.f64 (log.f64 k) 2)) -1/4)) m)))) (*.f64 1/6 (/.f64 (pow.f64 m 3) (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 (log.f64 k) 3)))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 k (+.f64 k 10))
✓	3.4b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	k	@	0	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
1.0ms	a	@	inf	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
1.0ms	a	@	0	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
1.0ms	a	@	-inf	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
1.0ms	k	@	-inf	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`prod-diff_binary64`
458×	`log-prod_binary64`
356×	`fma-def_binary64`
288×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	201	18
2	2770	18

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(*.f64 k (+.f64 k 10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) -2)) (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) (sqrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) 1) (/.f64 (cbrt.f64 a) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) -2) (/.f64 a (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) -1/2) (/.f64 a (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (cbrt.f64 a) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 1 (pow.f64 (*.f64 k (+.f64 k 10)) 3))) (fma.f64 (*.f64 k (+.f64 k 10)) (fma.f64 k (+.f64 k 10) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 1 (pow.f64 (*.f64 k (+.f64 k 10)) 2))) (-.f64 1 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a)) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 k (+.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 k k) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 k 10) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 k k) 1) (*.f64 (*.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 k 10)) k)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 k 10)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 k 10)) k))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 k 10)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 k (+.f64 k 10) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 k 6) (pow.f64 (*.f64 k 10) 3)) (+.f64 (pow.f64 k 4) (-.f64 (pow.f64 (*.f64 k 10) 2) (*.f64 (*.f64 k k) (*.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 k 4) (pow.f64 (*.f64 k 10) 2)) (-.f64 (*.f64 k k) (*.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1000 (pow.f64 k 3)) k) (-.f64 (fma.f64 k k 100) (*.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 k k -100) k) (+.f64 k -10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 k (+.f64 1000 (pow.f64 k 3))) (-.f64 (fma.f64 k k 100) (*.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 k (fma.f64 k k -100)) (+.f64 k -10))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 k (+.f64 k 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 k (+.f64 k 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 k 10)) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 k 10)) (exp.f64 (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 k (+.f64 k 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 k (+.f64 k 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 k (+.f64 k 10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 k (+.f64 k 10)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 k (+.f64 k 10) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 k k) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 k 10) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 k k (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 k 10 (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 10 k (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 k (+.f64 k 10) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 k k) 1 (*.f64 (*.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (cbrt.f64 k) k) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (cbrt.f64 k) 10) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 k) (pow.f64 k 3/2) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) 10) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 k (+.f64 k 10)) 3)) (/.f64 1 (fma.f64 (*.f64 k (+.f64 k 10)) (fma.f64 k (+.f64 k 10) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 k (+.f64 k 10)) 2)) (/.f64 1 (-.f64 1 (*.f64 k (+.f64 k 10)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 k 3/2) (sqrt.f64 k) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 k) k) (pow.f64 (cbrt.f64 k) 2) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 k 10)) 2) (cbrt.f64 (*.f64 k 10)) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 k 10)) (sqrt.f64 (*.f64 k 10)) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 k) 5) (cbrt.f64 k) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 k)) (sqrt.f64 k) (*.f64 k k))))))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-neg_binary64`
518×	`times-frac_binary64`
362×	`associate-/l*_binary64`
355×	`fma-def_binary64`
323×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	394
1	167	333
2	664	310
3	2811	295

Stop Event

1×	node limit

Counts

124 → 122

Calls

Call 1

Inputs
a
(+.f64 a (.f64 -10 (.f64 k a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 a) a))) (+.f64 a (.f64 -10 (*.f64 k a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 a) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (.f64 -100 a) a)) (.f64 -10 a)))) (+.f64 a (.f64 -10 (.f64 k a)))))
(/.f64 a (pow.f64 k 2))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -10 (+.f64 (.f64 -100 a) a)) (*.f64 -10 a)) (pow.f64 k 5))))))
(/.f64 a (pow.f64 k 2))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 5))) (+.f64 (.f64 10 (/.f64 a (pow.f64 k 5))) (+.f64 (/.f64 a (pow.f64 k 2)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))))
(*.f64 10 k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (pow.f64 k 2) (*.f64 10 k))

Outputs
a
(+.f64 a (.f64 -10 (.f64 k a)))
(+.f64 a (.f64 -10 (.f64 a k)))
(fma.f64 -10 (*.f64 a k) a)
(*.f64 a (fma.f64 -10 k 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 a) a))) (+.f64 a (.f64 -10 (*.f64 k a))))
(fma.f64 -1 (.f64 (.f64 k k) (.f64 -99 a)) (+.f64 a (.f64 -10 (*.f64 a k))))
(+.f64 (fma.f64 -10 (.f64 a k) a) (.f64 (.f64 k k) (.f64 99 a)))
(.f64 a (-.f64 (fma.f64 -10 k 1) (.f64 k (*.f64 k -99))))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 a) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (.f64 -100 a) a)) (.f64 -10 a)))) (+.f64 a (.f64 -10 (.f64 k a)))))
(fma.f64 -1 (.f64 (.f64 k k) (.f64 -99 a)) (fma.f64 -1 (.f64 (pow.f64 k 3) (.f64 -10 (+.f64 (.f64 -99 a) a))) (+.f64 a (.f64 -10 (.f64 a k)))))
(+.f64 (fma.f64 -10 (.f64 a k) a) (-.f64 (.f64 (.f64 k k) (.f64 99 a)) (.f64 -10 (.f64 (*.f64 -98 a) (pow.f64 k 3)))))
(fma.f64 (fma.f64 -10 k 1) a (.f64 (.f64 k k) (-.f64 (.f64 a 99) (.f64 k (*.f64 a 980)))))
(fma.f64 a (fma.f64 -10 k 1) (.f64 (.f64 k k) (fma.f64 a 99 (.f64 k (.f64 a -980)))))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (.f64 k k)) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (/.f64 a k) k))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3)))))
(fma.f64 -1 (/.f64 (.f64 -99 a) (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (*.f64 -10 (/.f64 a (pow.f64 k 3)))))
(+.f64 (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (/.f64 a k) k)) (/.f64 (*.f64 99 a) (pow.f64 k 4)))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k))) (/.f64 (*.f64 a 99) (pow.f64 k 4)))
(+.f64 (/.f64 a (.f64 k k)) (.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -10 (+.f64 (.f64 -100 a) a)) (*.f64 -10 a)) (pow.f64 k 5))))))
(fma.f64 -1 (/.f64 (.f64 -99 a) (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (neg.f64 (/.f64 (.f64 -10 (+.f64 (.f64 -99 a) a)) (pow.f64 k 5))))))
(+.f64 (/.f64 (/.f64 a k) k) (+.f64 (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (.f64 10 (.f64 -98 a)) (pow.f64 k 5))) (/.f64 (*.f64 99 a) (pow.f64 k 4))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k))) (+.f64 (/.f64 (.f64 a 99) (pow.f64 k 4)) (/.f64 (.f64 -980 a) (pow.f64 k 5))))
(+.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 (.f64 a -980) (pow.f64 k 5)) (*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k)))))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (.f64 k k)) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (/.f64 a k) k))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3)))))
(fma.f64 -1 (/.f64 (.f64 -99 a) (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (*.f64 -10 (/.f64 a (pow.f64 k 3)))))
(+.f64 (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (/.f64 a k) k)) (/.f64 (*.f64 99 a) (pow.f64 k 4)))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k))) (/.f64 (*.f64 a 99) (pow.f64 k 4)))
(+.f64 (/.f64 a (.f64 k k)) (.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 4))) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 -100 a) a) (pow.f64 k 5))) (+.f64 (.f64 10 (/.f64 a (pow.f64 k 5))) (+.f64 (/.f64 a (pow.f64 k 2)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))))
(fma.f64 -1 (/.f64 (.f64 -99 a) (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (neg.f64 (/.f64 (.f64 -10 (+.f64 (.f64 -99 a) a)) (pow.f64 k 5))))))
(+.f64 (/.f64 (/.f64 a k) k) (+.f64 (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (.f64 10 (.f64 -98 a)) (pow.f64 k 5))) (/.f64 (*.f64 99 a) (pow.f64 k 4))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k))) (+.f64 (/.f64 (.f64 a 99) (pow.f64 k 4)) (/.f64 (.f64 -980 a) (pow.f64 k 5))))
(+.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 (.f64 a -980) (pow.f64 k 5)) (*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k)))))
(*.f64 10 k)
(*.f64 k 10)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 (.f64 k k) (.f64 k 10))
(*.f64 k (+.f64 k 10))

localize6.0ms (0%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (*.f64 10 k))
✓	0.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	k	@	-inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
1.0ms	a	@	inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
1.0ms	k	@	inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
1.0ms	a	@	0	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
1.0ms	m	@	0	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
346×	`pow-prod-down_binary64`
302×	`pow2_binary64`
284×	`prod-diff_binary64`
260×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	234	14
2	3110	14

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (/.f64 (fma.f64 k 10 1) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (pow.f64 k m) (/.f64 1 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k m) (*.f64 a (/.f64 1 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 k m)) (/.f64 1 (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))) (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))) 2) (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 k m))) 2) (*.f64 (cbrt.f64 (*.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))) (sqrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (pow.f64 k m))) (*.f64 (sqrt.f64 (*.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k m) (neg.f64 a)) (/.f64 1 (neg.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 k 10 1)) (*.f64 a (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k m) 1) (/.f64 a (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (fma.f64 k 10 1)) (pow.f64 k m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 k m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 a (pow.f64 k m))) (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a (pow.f64 k m))) 1) (/.f64 (sqrt.f64 (*.f64 a (pow.f64 k m))) (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (cbrt.f64 (pow.f64 (fma.f64 k 10 1) 2))) (/.f64 (pow.f64 k m) (cbrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k m) (cbrt.f64 (pow.f64 (fma.f64 k 10 1) 2))) (/.f64 a (cbrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) -2) (/.f64 (*.f64 a (pow.f64 k m)) (cbrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 k m))) 2) (cbrt.f64 (pow.f64 (fma.f64 k 10 1) 2))) (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a (pow.f64 k m))) (cbrt.f64 (pow.f64 (fma.f64 k 10 1) 2))) (/.f64 (sqrt.f64 (*.f64 a (pow.f64 k m))) (cbrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (fma.f64 k 10 1))) (/.f64 (pow.f64 k m) (sqrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (fma.f64 k 10 1))) (/.f64 a (sqrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 k 10 1) -1/2) (/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 k m))) 2) (sqrt.f64 (fma.f64 k 10 1))) (/.f64 (cbrt.f64 (*.f64 a (pow.f64 k m))) (sqrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 1000 (pow.f64 k 3) 1)) (fma.f64 (*.f64 k 10) (fma.f64 k 10 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (pow.f64 k m)) (-.f64 1 (*.f64 100 (*.f64 k k)))) (+.f64 1 (*.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 k 10 1) (*.f64 a (pow.f64 k m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a (pow.f64 k m)) 3) (pow.f64 (fma.f64 k 10 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 k 10 1) (*.f64 a (pow.f64 k m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a (pow.f64 k m)) (neg.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a (pow.f64 k m)) 3) (pow.f64 (fma.f64 k 10 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (fma.f64 k 10 1) (pow.f64 k m)))) 1))))))

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-/l/_binary64`
639×	`distribute-rgt-out_binary64`
431×	`associate-r_binary64`
363×	`fma-def_binary64`
351×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1072
1	304	994
2	930	747
3	4186	691

Stop Event

1×	node limit

Counts

87 → 81

Calls

Call 1

Inputs
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 100 (.f64 (pow.f64 k 2) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 100 (.f64 (pow.f64 k 2) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1000 (.f64 (pow.f64 k 3) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) k))
(+.f64 (.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) k)) (.f64 -1/100 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))))
(+.f64 (.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) k)) (+.f64 (.f64 -1/100 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))) (.f64 1/1000 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3)))))
(+.f64 (.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) k)) (+.f64 (.f64 -1/100 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))) (+.f64 (.f64 -1/10000 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 4))) (.f64 1/1000 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))))
(.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) k))
(+.f64 (.f64 -1/100 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))) (.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) k)))
(+.f64 (.f64 -1/100 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))) (+.f64 (.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) k)) (.f64 1/1000 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3)))))
(+.f64 (.f64 -1/100 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))) (+.f64 (.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) k)) (+.f64 (.f64 1/1000 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (.f64 -1/10000 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))))))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(+.f64 (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 10 k))) (/.f64 a (+.f64 1 (.f64 10 k))))
(+.f64 (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 10 k))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 10 k)))) (/.f64 a (+.f64 1 (.f64 10 k)))))
(+.f64 (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 10 k))) (+.f64 (.f64 1/6 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (+.f64 1 (.f64 10 k)))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 10 k)))) (/.f64 a (+.f64 1 (.f64 10 k))))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))

Outputs
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))
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(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 10 k)))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k 10)) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k 10 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k 10 1)))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 k (+.f64 10 k) 1)
✓	0.2b	(pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3)
✓	1.5b	(/.f64 (*.f64 a (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3))
✓	13.3b	(cbrt.f64 (fma.f64 k (+.f64 10 k) 1))

Compiler

Compiled 57 to 34 computations (40.4% saved)

series12.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	k	@	-inf	(cbrt.f64 (fma.f64 k (+.f64 10 k) 1))
1.0ms	k	@	inf	(pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3)
1.0ms	k	@	0	(pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3)
1.0ms	a	@	inf	(/.f64 (*.f64 a (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3))
1.0ms	k	@	inf	(cbrt.f64 (fma.f64 k (+.f64 10 k) 1))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
352×	`pow2_binary64`
248×	`pow-unpow_binary64`
241×	`pow1/3_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	303	43
2	3620	43

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 k (+.f64 10 k) 1))
(/.f64 (*.f64 a (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3))
(pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3)
(fma.f64 k (+.f64 10 k) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 1/6) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 k (+.f64 k 10) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/3 (log1p.f64 (.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 k (+.f64 k 10))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (*.f64 k (+.f64 k 10)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 (pow.f64 k m) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 k m) (.f64 a (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))) (pow.f64 (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))) 2) (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) (.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))) (sqrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (neg.f64 (pow.f64 k m))) (/.f64 1 (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 a (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 1) (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 k m) 1) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) 1) (/.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) 1) (/.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (.f64 a (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (pow.f64 k m) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 k m) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (/.f64 a (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 k m) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 a (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (/.f64 (pow.f64 k m) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (/.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) -2) (/.f64 (.f64 a (pow.f64 k m)) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) -1/2) (/.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (pow.f64 k m) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 k m) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 a (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (.f64 a (pow.f64 k m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 a (pow.f64 k m)) 3) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) (.f64 a (pow.f64 k m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 a (pow.f64 k m)) (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 a 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simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-r_binary64`
647×	`fma-def_binary64`
618×	`associate-l_binary64`
297×	`times-frac_binary64`
277×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1446
1	398	1301
2	1405	1059
3	7085	1023

Stop Event

1×	node limit

Counts

209 → 171

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 10/3 k))
(+.f64 1 (+.f64 (.f64 10/3 k) (.f64 -97/9 (pow.f64 k 2))))
(+.f64 1 (+.f64 (.f64 4820/81 (pow.f64 k 3)) (+.f64 (.f64 10/3 k) (*.f64 -97/9 (pow.f64 k 2)))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (*.f64 (log.f64 k) m)) a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 -10 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))) (+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -10 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (.f64 -10 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))))) (pow.f64 k 5))))))
(/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 5))) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/6 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))

Outputs
1
(+.f64 1 (*.f64 10/3 k))
(fma.f64 10/3 k 1)
(+.f64 1 (+.f64 (.f64 10/3 k) (.f64 -97/9 (pow.f64 k 2))))
(+.f64 1 (fma.f64 10/3 k (.f64 -97/9 (.f64 k k))))
(+.f64 (fma.f64 10/3 k 1) (.f64 k (.f64 k -97/9)))
(fma.f64 10/3 k (fma.f64 -97/9 (*.f64 k k) 1))
(+.f64 1 (+.f64 (.f64 4820/81 (pow.f64 k 3)) (+.f64 (.f64 10/3 k) (*.f64 -97/9 (pow.f64 k 2)))))
(+.f64 1 (fma.f64 4820/81 (pow.f64 k 3) (fma.f64 10/3 k (.f64 -97/9 (.f64 k k)))))
(+.f64 1 (fma.f64 4820/81 (pow.f64 k 3) (fma.f64 10/3 k (.f64 k (.f64 k -97/9)))))
(fma.f64 4820/81 (pow.f64 k 3) (fma.f64 10/3 k (fma.f64 -97/9 (*.f64 k k) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
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(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
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(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
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(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 5))) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))))
(+.f64 (fma.f64 -10 (/.f64 a (/.f64 (pow.f64 k 3) (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) (/.f64 a (/.f64 (.f64 k k) (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m)))) (fma.f64 10 (/.f64 a (/.f64 (pow.f64 k 5) (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) (fma.f64 10 (/.f64 (.f64 -99 (.f64 a (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) (pow.f64 k 5)) (neg.f64 (/.f64 (.f64 -99 (*.f64 a (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))) (pow.f64 k 4))))))
(+.f64 (fma.f64 -10 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m)) (.f64 (/.f64 a k) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m) k))) (+.f64 (/.f64 (.f64 99 (.f64 a (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4)) (fma.f64 10 (.f64 (/.f64 a (pow.f64 k 5)) (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m)) (/.f64 (.f64 -990 (*.f64 a (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5)))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 a (.f64 k k)))) (fma.f64 10 (fma.f64 (/.f64 a (pow.f64 k 5)) (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 (pow.f64 k 5) (.f64 a -99)))) (/.f64 (.f64 (.f64 99 a) (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m)) (pow.f64 k 4))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))) (fma.f64 10 (fma.f64 (/.f64 a (pow.f64 k 5)) (pow.f64 k m) (.f64 (/.f64 -99 (pow.f64 k 5)) (.f64 (pow.f64 k m) a))) (/.f64 (.f64 (*.f64 99 a) (pow.f64 k m)) (pow.f64 k 4))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
(+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 a (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (*.f64 (log.f64 k) m))))
(+.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (log.f64 k) m)))
(fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m)))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 a (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (log.f64 k) m)))))
(fma.f64 1/2 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 m (.f64 m (pow.f64 (log.f64 k) 2)))) (+.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (*.f64 (log.f64 k) m))))
(fma.f64 1/2 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m))) (fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 k 10) 1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/6 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m)))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (fma.f64 1/6 (/.f64 a (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)))) (/.f64 a (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 (log.f64 k) m))))))
(+.f64 (fma.f64 1/6 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (log.f64 k) m))) (fma.f64 1/2 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 m (*.f64 m (pow.f64 (log.f64 k) 2)))) (/.f64 a (fma.f64 k (+.f64 k 10) 1))))
(fma.f64 1/2 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m))) (fma.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (log.f64 k) m) (fma.f64 1/6 (.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 k 10))
(fma.f64 k 10 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 k 10))
(fma.f64 k 10 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)

eval421.0ms (2.7%)

Compiler: Compiled 17103 to 10887 computations (36.3% saved)

prune133.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	690	8	698
Fresh	4	0	4
Picked	1	0	1
Done	2	2	4
Total	697	10	707

Error

0.0b

Counts

707 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.1b	(/.f64 (/.f64 a k) k)
▶	23.8b	(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
✓	23.7b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
▶	24.1b	(/.f64 a (+.f64 1 (*.f64 k k)))
▶	39.8b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	47.1b	(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
▶	46.9b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	15.8b	(*.f64 (pow.f64 k m) a)
	40.0b	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
	46.5b	a

Compiler

Compiled 186 to 135 computations (27.4% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 k (+.f64 k 10))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)
✓	3.4b	(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
✓	13.6b	(cbrt.f64 (*.f64 k (+.f64 k 10)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series610.0ms (3.8%)

Counts

3 → 15

Calls

12 calls:

Time	Variable		Point	Expression
598.0ms	k	@	0	(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
3.0ms	a	@	0	(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
1.0ms	k	@	-inf	(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
1.0ms	a	@	inf	(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
1.0ms	k	@	-inf	(pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`prod-diff_binary64`
534×	`log-prod_binary64`
448×	`fma-def_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	270	27
2	3285	27

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 k (+.f64 k 10)))
(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
(pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 k) (cbrt.f64 (+.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 k 10)) (cbrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 1/6) (pow.f64 (*.f64 k (+.f64 k 10)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 k (+.f64 k 10)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 k (+.f64 k 10))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 k (+.f64 k 10)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))) (cbrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) (pow.f64 (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 2) (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) (sqrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 2))) (/.f64 a (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 2))) (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 2))) (/.f64 (sqrt.f64 a) (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 a (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (/.f64 (cbrt.f64 a) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 1 (pow.f64 (*.f64 k (+.f64 k 10)) 3))) (fma.f64 (*.f64 k (+.f64 k 10)) (fma.f64 k (+.f64 k 10) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 1 (pow.f64 (*.f64 k (+.f64 k 10)) 2))) (-.f64 1 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 k (+.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 k k) (*.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 k 10) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 k k) 1) (*.f64 (*.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 k) (+.f64 k 10))) (cbrt.f64 (pow.f64 (exp.f64 k) (+.f64 k 10))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 k) (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 k) (+.f64 k 10)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 k) (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 k (+.f64 k 10) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 k (+.f64 k 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 k 10) k)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 k (+.f64 k 10)) 1)))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 k k -100) k) (+.f64 k -10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 k (+.f64 1000 (pow.f64 k 3))) (-.f64 (fma.f64 k k 100) (*.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 k (fma.f64 k k -100)) (+.f64 k -10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 k) (+.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 k (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 k 10)) (exp.f64 (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 k (+.f64 k 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 k (+.f64 k 10))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 k (+.f64 k 10))) 1))))) (#(struct:change #<rule egg-rr> (2) 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simplify2.9s (18.2%)

Algorithm

1×	egg-herbie

Rules

1970×	`sqr-pow_binary64`
1969×	`pow-base-1_binary64`
41×	`fma-def_binary64`
8×	`distribute-lft-in_binary64`
6×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	195
1	32	135
2	65	135
3	90	135
4	126	135
5	141	135
6	145	135
7	149	135
8	153	135
9	157	135
10	161	135
11	165	135
12	169	135
13	173	135
14	177	135
15	181	135
16	185	135
17	189	135
18	193	135
19	197	135
20	201	135
21	205	135
22	209	135
23	213	135
24	217	135
25	221	135
26	225	135
27	229	135
28	233	135
29	237	135
30	241	135
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1967	7989	135
1968	7993	135
1969	7997	135

Stop Event

1×	node limit

Counts

148 → 136

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
a
a
a

Outputs
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
(/.f64 a (+.f64 1 (.f64 (.f64 k (+.f64 k 10)) (pow.f64 1 1/3))))
(/.f64 a (+.f64 1 (.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
a
a
a

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 a k) k)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (/.f64 a k) k)
1.0ms	a	@	0	(/.f64 (/.f64 a k) k)
1.0ms	k	@	0	(/.f64 (/.f64 a k) k)
1.0ms	a	@	-inf	(/.f64 (/.f64 a k) k)
0.0ms	k	@	inf	(/.f64 (/.f64 a k) k)

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`pow1_binary64`
595×	`add-log-exp_binary64`
595×	`log1p-expm1-u_binary64`
595×	`expm1-log1p-u_binary64`
582×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1585	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(/.f64 (/.f64 a k) k)

Outputs

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

simplify168.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit

Counts

60 → 38

Calls

Call 1

Inputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))

Outputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -10 (.f64 k a))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	k	@	0	(.f64 -10 (.f64 k a))
1.0ms	a	@	inf	(.f64 -10 (.f64 k a))
1.0ms	a	@	0	(.f64 -10 (.f64 k a))
1.0ms	k	@	inf	(.f64 -10 (.f64 k a))
0.0ms	k	@	-inf	(.f64 -10 (.f64 k a))

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -10 (.f64 k a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -10 (*.f64 k a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -10 (*.f64 k a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -10 (*.f64 k a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -10 (*.f64 k a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -10 (*.f64 k a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 k a) 2) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -10) (*.f64 k a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -10 (*.f64 k a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -10 (*.f64 k a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -10 (*.f64 k a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -10 (*.f64 k a))))))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 k 10))
✓	0.2b	(/.f64 a (+.f64 1 (*.f64 k 10)))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series6.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/.f64 a (+.f64 1 (*.f64 k 10)))
1.0ms	a	@	-inf	(/.f64 a (+.f64 1 (*.f64 k 10)))
1.0ms	a	@	inf	(/.f64 a (+.f64 1 (*.f64 k 10)))
1.0ms	k	@	inf	(/.f64 a (+.f64 1 (*.f64 k 10)))
0.0ms	k	@	0	(/.f64 a (+.f64 1 (*.f64 k 10)))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	13
2	2168	13

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (*.f64 k 10)))
(+.f64 1 (*.f64 k 10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 a (fma.f64 k 10 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (fma.f64 k 10 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (fma.f64 k 10 1))) (pow.f64 (cbrt.f64 (/.f64 a (fma.f64 k 10 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (fma.f64 k 10 1))) 2) (cbrt.f64 (/.f64 a (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (fma.f64 k 10 1))) (sqrt.f64 (/.f64 a (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (neg.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 k 10 1)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 2)) (/.f64 a (cbrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 2)) (cbrt.f64 (/.f64 a (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 k 10 1))) (/.f64 a (sqrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (fma.f64 k 10 1))) (/.f64 (cbrt.f64 a) (sqrt.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 1 (*.f64 1000 (pow.f64 k 3)))) (+.f64 1 (+.f64 (*.f64 100 (*.f64 k k)) (*.f64 -10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 1 (*.f64 100 (*.f64 k k)))) (+.f64 1 (*.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (fma.f64 k 10 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (fma.f64 k 10 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (fma.f64 k 10 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (fma.f64 k 10 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 k 10 1) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (fma.f64 k 10 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (fma.f64 k 10 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (fma.f64 k 10 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (fma.f64 k 10 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (fma.f64 k 10 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 k 10 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -10 k))) (/.f64 (*.f64 100 (*.f64 k k)) (+.f64 1 (*.f64 -10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 k 10 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 k 10 1)) (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 2) (cbrt.f64 (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 k 10 1)) (sqrt.f64 (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 1000 (pow.f64 k 3))) (/.f64 1 (+.f64 1 (+.f64 (*.f64 100 (*.f64 k k)) (*.f64 -10 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 100 (*.f64 k k))) (/.f64 1 (+.f64 1 (*.f64 -10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 100 (*.f64 k k)) (*.f64 -10 k))) (+.f64 1 (*.f64 1000 (pow.f64 k 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -10 k)) (-.f64 1 (*.f64 100 (*.f64 k k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 1000 (pow.f64 k 3))) (+.f64 1 (+.f64 (*.f64 100 (*.f64 k k)) (*.f64 -10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 1000 (pow.f64 k 3))) (+.f64 (*.f64 100 (*.f64 k k)) (+.f64 1 (*.f64 -10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 100 (*.f64 k k))) (+.f64 1 (*.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 1000 (pow.f64 k 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 100 (*.f64 k k)) (*.f64 -10 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 100 (*.f64 k k)))) (neg.f64 (+.f64 1 (*.f64 -10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 100 (*.f64 k k)) 1) (-.f64 (*.f64 k 10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 k 10 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 k 10 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 k 10 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 k 10 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 k 10 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 k 10 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 k 10)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 k 10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 k 10 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 10 k 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 k 10)) 2) (cbrt.f64 (*.f64 k 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 k 10)) (sqrt.f64 (*.f64 k 10)) 1)))))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-def_binary64`
658×	`associate-/l*_binary64`
532×	`associate-/l/_binary64`
503×	`associate-*l/_binary64`
454×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	429
1	115	383
2	299	349
3	911	331
4	3346	331
5	7717	331

Stop Event

1×	node limit

Counts

101 → 85

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 10 k)))
a
(+.f64 a (.f64 -10 (.f64 k a)))
(+.f64 a (+.f64 (.f64 -10 (.f64 k a)) (.f64 100 (.f64 (pow.f64 k 2) a))))
(+.f64 a (+.f64 (.f64 -10 (.f64 k a)) (+.f64 (.f64 100 (.f64 (pow.f64 k 2) a)) (.f64 -1000 (.f64 (pow.f64 k 3) a)))))
(*.f64 1/10 (/.f64 a k))
(+.f64 (.f64 1/10 (/.f64 a k)) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (*.f64 -1/100 (/.f64 a (pow.f64 k 2)))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/10000 (/.f64 a (pow.f64 k 4))) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))))
(*.f64 1/10 (/.f64 a k))
(+.f64 (.f64 1/10 (/.f64 a k)) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (*.f64 -1/100 (/.f64 a (pow.f64 k 2)))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/10000 (/.f64 a (pow.f64 k 4))) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 10 k))
(*.f64 10 k)
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 10 k))
(*.f64 10 k)
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 10 k))

Outputs
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (fma.f64 10 k 1))
a
(+.f64 a (.f64 -10 (.f64 k a)))
(+.f64 a (.f64 -10 (.f64 a k)))
(fma.f64 -10 (*.f64 a k) a)
(fma.f64 a (*.f64 k -10) a)
(+.f64 a (+.f64 (.f64 -10 (.f64 k a)) (.f64 100 (.f64 (pow.f64 k 2) a))))
(+.f64 a (fma.f64 -10 (.f64 a k) (.f64 100 (.f64 a (.f64 k k)))))
(+.f64 a (.f64 a (+.f64 (.f64 k -10) (.f64 100 (.f64 k k)))))
(fma.f64 a (.f64 k (+.f64 (.f64 k 100) -10)) a)
(fma.f64 a (*.f64 k (fma.f64 k 100 -10)) a)
(+.f64 a (+.f64 (.f64 -10 (.f64 k a)) (+.f64 (.f64 100 (.f64 (pow.f64 k 2) a)) (.f64 -1000 (.f64 (pow.f64 k 3) a)))))
(+.f64 a (fma.f64 -10 (.f64 a k) (fma.f64 100 (.f64 a (.f64 k k)) (.f64 -1000 (*.f64 a (pow.f64 k 3))))))
(+.f64 (fma.f64 -10 (.f64 a k) a) (.f64 a (+.f64 (.f64 -1000 (pow.f64 k 3)) (.f64 100 (*.f64 k k)))))
(fma.f64 a (.f64 k -10) (fma.f64 a (.f64 (.f64 k k) (+.f64 (.f64 k -1000) 100)) a))
(fma.f64 a (.f64 k (+.f64 (.f64 k (fma.f64 k -1000 100)) -10)) a)
(fma.f64 a (.f64 k (+.f64 -10 (.f64 k (fma.f64 k -1000 100)))) a)
(*.f64 1/10 (/.f64 a k))
(/.f64 (*.f64 1/10 a) k)
(*.f64 a (/.f64 1/10 k))
(+.f64 (.f64 1/10 (/.f64 a k)) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))
(fma.f64 1/10 (/.f64 a k) (.f64 -1/100 (/.f64 a (.f64 k k))))
(fma.f64 1/10 (/.f64 a k) (*.f64 (/.f64 -1/100 k) (/.f64 a k)))
(*.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (*.f64 -1/100 (/.f64 a (pow.f64 k 2)))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (.f64 -1/100 (/.f64 a (.f64 k k)))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/100 (/.f64 a (.f64 k k)) (.f64 1/1000 (/.f64 a (pow.f64 k 3)))))
(fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (*.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k))))
(.f64 (/.f64 a k) (+.f64 1/10 (+.f64 (/.f64 -1/100 k) (/.f64 1/1000 (.f64 k k)))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/10000 (/.f64 a (pow.f64 k 4))) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/10000 (/.f64 a (pow.f64 k 4)) (fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (.f64 -1/100 (/.f64 a (.f64 k k))))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/10000 (/.f64 a (pow.f64 k 4)) (fma.f64 -1/100 (/.f64 a (.f64 k k)) (.f64 1/1000 (/.f64 a (pow.f64 k 3))))))
(fma.f64 -1/10000 (/.f64 a (pow.f64 k 4)) (fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (*.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)))))
(fma.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)) (*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 -1/10000 k) 1/1000)))
(fma.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)) (*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 1/1000 (/.f64 -1/10000 k))))
(*.f64 1/10 (/.f64 a k))
(/.f64 (*.f64 1/10 a) k)
(*.f64 a (/.f64 1/10 k))
(+.f64 (.f64 1/10 (/.f64 a k)) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))
(fma.f64 1/10 (/.f64 a k) (.f64 -1/100 (/.f64 a (.f64 k k))))
(fma.f64 1/10 (/.f64 a k) (*.f64 (/.f64 -1/100 k) (/.f64 a k)))
(*.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (*.f64 -1/100 (/.f64 a (pow.f64 k 2)))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (.f64 -1/100 (/.f64 a (.f64 k k)))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/100 (/.f64 a (.f64 k k)) (.f64 1/1000 (/.f64 a (pow.f64 k 3)))))
(fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (*.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k))))
(.f64 (/.f64 a k) (+.f64 1/10 (+.f64 (/.f64 -1/100 k) (/.f64 1/1000 (.f64 k k)))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/10000 (/.f64 a (pow.f64 k 4))) (+.f64 (.f64 1/1000 (/.f64 a (pow.f64 k 3))) (.f64 -1/100 (/.f64 a (pow.f64 k 2))))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/10000 (/.f64 a (pow.f64 k 4)) (fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (.f64 -1/100 (/.f64 a (.f64 k k))))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/10000 (/.f64 a (pow.f64 k 4)) (fma.f64 -1/100 (/.f64 a (.f64 k k)) (.f64 1/1000 (/.f64 a (pow.f64 k 3))))))
(fma.f64 -1/10000 (/.f64 a (pow.f64 k 4)) (fma.f64 1/1000 (/.f64 a (pow.f64 k 3)) (*.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)))))
(fma.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)) (*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 -1/10000 k) 1/1000)))
(fma.f64 (/.f64 a k) (+.f64 1/10 (/.f64 -1/100 k)) (*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 1/1000 (/.f64 -1/10000 k))))
1
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(*.f64 10 k)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(*.f64 10 k)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)
(+.f64 1 (*.f64 10 k))
(fma.f64 10 k 1)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(/.f64 a (+.f64 1 (*.f64 k k)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series39.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	a	@	inf	(/.f64 a (+.f64 1 (*.f64 k k)))
1.0ms	a	@	0	(/.f64 a (+.f64 1 (*.f64 k k)))
1.0ms	a	@	-inf	(/.f64 a (+.f64 1 (*.f64 k k)))
1.0ms	k	@	inf	(/.f64 a (+.f64 1 (*.f64 k k)))
1.0ms	k	@	0	(/.f64 a (+.f64 1 (*.f64 k k)))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
714×	`add-log-exp_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	147	8
2	1964	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (*.f64 k k)))

Outputs

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
415×	`distribute-rgt-neg-in_binary64`
413×	`unswap-sqr_binary64`
336×	`distribute-lft-neg-in_binary64`
327×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	358
1	97	314
2	274	309
3	1004	304
4	4965	291

Stop Event

1×	node limit

Counts

57 → 50

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
a
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) a)) a)
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) a)) (+.f64 a (*.f64 (pow.f64 k 4) a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 k 6) a)) (+.f64 a (*.f64 (pow.f64 k 4) a))))
(/.f64 a (pow.f64 k 2))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -1 (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 6))))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 6)) (.f64 -1 (/.f64 a (pow.f64 k 8))))))
(/.f64 a (pow.f64 k 2))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -1 (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 6))))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 6)) (.f64 -1 (/.f64 a (pow.f64 k 8))))))

Outputs
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
(/.f64 a (+.f64 1 (pow.f64 k 2)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (fma.f64 k k 1))
a
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) a)) a)
(fma.f64 -1 (.f64 a (.f64 k k)) a)
(-.f64 a (.f64 a (.f64 k k)))
(*.f64 a (fma.f64 (neg.f64 k) k 1))
(neg.f64 (*.f64 a (fma.f64 k k -1)))
(*.f64 a (neg.f64 (fma.f64 k k -1)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) a)) (+.f64 a (*.f64 (pow.f64 k 4) a)))
(fma.f64 -1 (.f64 a (.f64 k k)) (+.f64 a (*.f64 a (pow.f64 k 4))))
(-.f64 (fma.f64 a (pow.f64 k 4) a) (.f64 a (.f64 k k)))
(*.f64 a (+.f64 (pow.f64 k 4) (fma.f64 (neg.f64 k) k 1)))
(fma.f64 a (-.f64 (pow.f64 k 4) (*.f64 k k)) a)
(+.f64 (.f64 -1 (.f64 (pow.f64 k 2) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 k 6) a)) (+.f64 a (*.f64 (pow.f64 k 4) a))))
(fma.f64 -1 (.f64 a (.f64 k k)) (fma.f64 -1 (.f64 a (pow.f64 k 6)) (+.f64 a (.f64 a (pow.f64 k 4)))))
(-.f64 (-.f64 (fma.f64 a (pow.f64 k 4) a) (.f64 a (pow.f64 k 6))) (.f64 a (*.f64 k k)))
(.f64 a (-.f64 (-.f64 (+.f64 1 (pow.f64 k 4)) (pow.f64 k 6)) (.f64 k k)))
(fma.f64 a (fma.f64 -1 (fma.f64 k k (pow.f64 k 6)) (pow.f64 k 4)) a)
(fma.f64 a (-.f64 (pow.f64 k 4) (fma.f64 k k (pow.f64 k 6))) a)
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -1 (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (*.f64 k k)) (neg.f64 (/.f64 a (pow.f64 k 4))))
(-.f64 (/.f64 (/.f64 a k) k) (/.f64 a (pow.f64 k 4)))
(-.f64 (/.f64 a (*.f64 k k)) (/.f64 a (pow.f64 k 4)))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 6))))
(+.f64 (/.f64 a (*.f64 k k)) (fma.f64 -1 (/.f64 a (pow.f64 k 4)) (/.f64 a (pow.f64 k 6))))
(+.f64 (/.f64 (/.f64 a k) k) (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (*.f64 k k)) (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 6)) (.f64 -1 (/.f64 a (pow.f64 k 8))))))
(+.f64 (/.f64 a (*.f64 k k)) (+.f64 (fma.f64 -1 (/.f64 a (pow.f64 k 4)) (/.f64 a (pow.f64 k 6))) (neg.f64 (/.f64 a (pow.f64 k 8)))))
(+.f64 (/.f64 (/.f64 a k) k) (-.f64 (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 8))))
(+.f64 (/.f64 a (*.f64 k k)) (-.f64 (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 8))))
(+.f64 (/.f64 a (pow.f64 k 6)) (-.f64 (-.f64 (/.f64 (/.f64 a k) k) (/.f64 a (pow.f64 k 8))) (/.f64 a (pow.f64 k 4))))
(.f64 (+.f64 1 (/.f64 -1 (.f64 k k))) (+.f64 (/.f64 (/.f64 a k) k) (/.f64 a (pow.f64 k 6))))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -1 (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (*.f64 k k)) (neg.f64 (/.f64 a (pow.f64 k 4))))
(-.f64 (/.f64 (/.f64 a k) k) (/.f64 a (pow.f64 k 4)))
(-.f64 (/.f64 a (*.f64 k k)) (/.f64 a (pow.f64 k 4)))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 6))))
(+.f64 (/.f64 a (*.f64 k k)) (fma.f64 -1 (/.f64 a (pow.f64 k 4)) (/.f64 a (pow.f64 k 6))))
(+.f64 (/.f64 (/.f64 a k) k) (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (*.f64 k k)) (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))))
(+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 6)) (.f64 -1 (/.f64 a (pow.f64 k 8))))))
(+.f64 (/.f64 a (*.f64 k k)) (+.f64 (fma.f64 -1 (/.f64 a (pow.f64 k 4)) (/.f64 a (pow.f64 k 6))) (neg.f64 (/.f64 a (pow.f64 k 8)))))
(+.f64 (/.f64 (/.f64 a k) k) (-.f64 (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 8))))
(+.f64 (/.f64 a (*.f64 k k)) (-.f64 (-.f64 (/.f64 a (pow.f64 k 6)) (/.f64 a (pow.f64 k 4))) (/.f64 a (pow.f64 k 8))))
(+.f64 (/.f64 a (pow.f64 k 6)) (-.f64 (-.f64 (/.f64 (/.f64 a k) k) (/.f64 a (pow.f64 k 8))) (/.f64 a (pow.f64 k 4))))
(.f64 (+.f64 1 (/.f64 -1 (.f64 k k))) (+.f64 (/.f64 (/.f64 a k) k) (/.f64 a (pow.f64 k 6))))

eval196.0ms (1.2%)

Compiler: Compiled 5313 to 3597 computations (32.3% saved)

prune70.0ms (0.4%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	375	6	381
Fresh	1	2	3
Picked	0	1	1
Done	1	5	6
Total	377	14	391

Error

0.0b

Counts

391 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	40.2b	(pow.f64 (*.f64 k (/.f64 k a)) -1)
✓	40.1b	(/.f64 (/.f64 a k) k)
✓	23.7b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	24.1b	(/.f64 a (+.f64 1 (*.f64 k k)))
✓	39.8b	(/.f64 a (+.f64 1 (*.f64 k 10)))
▶	39.8b	(/.f64 a (*.f64 k k))
▶	55.3b	(/.f64 a (*.f64 10 k))
▶	37.4b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
	47.1b	(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
✓	46.9b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	15.8b	(*.f64 (pow.f64 k m) a)
▶	40.1b	(*.f64 (/.f64 a k) (/.f64 1 k))
▶	40.0b	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
	46.5b	a

Compiler

Compiled 214 to 152 computations (29% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
✓	6.2b	(/.f64 a (*.f64 k k))

Compiler

Compiled 30 to 12 computations (60% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	k	@	inf	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
0.0ms	a	@	inf	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
0.0ms	a	@	0	(/.f64 a (*.f64 k k))
0.0ms	a	@	inf	(/.f64 a (*.f64 k k))
0.0ms	a	@	-inf	(/.f64 a (*.f64 k k))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
891×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	182	14
2	2681	14

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(/.f64 a (*.f64 k k))
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (pow.f64 k -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 a (pow.f64 k -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 a (pow.f64 k -2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (pow.f64 k -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 a (pow.f64 k -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (pow.f64 k -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 a (pow.f64 k -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 3) (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2)) (/.f64 1 (+.f64 (*.f64 a (pow.f64 k -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 k -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 k -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (pow.f64 k -2))) (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 k 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 k 4))) (cbrt.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) k) (/.f64 (sqrt.f64 a) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 k (neg.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 a (pow.f64 k -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a k) (/.f64 1 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 k) (/.f64 a k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) k) (/.f64 (cbrt.f64 a) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 k 4))) (/.f64 a (pow.f64 (cbrt.f64 k) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 k 4))) (cbrt.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 k 4))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 k) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (pow.f64 k -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (pow.f64 k -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) k) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (pow.f64 k -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (/.f64 a k)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 k (neg.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a a) (pow.f64 k 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (pow.f64 k -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (pow.f64 k -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a (pow.f64 k -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a (pow.f64 k -2) 1)) 2) (cbrt.f64 (fma.f64 a (pow.f64 k -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (pow.f64 k -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 a (pow.f64 k -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 a (pow.f64 k -2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (pow.f64 k -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 a (pow.f64 k -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (pow.f64 k -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 k -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 k -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (pow.f64 k -2))) (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 k 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 k 4))) (cbrt.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) k) (/.f64 (sqrt.f64 a) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 k (neg.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 a (pow.f64 k -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a k) (/.f64 1 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 k) (/.f64 a k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) k) (/.f64 (cbrt.f64 a) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 k 4))) (/.f64 a (pow.f64 (cbrt.f64 k) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 k 4))) (cbrt.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 k 4))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 k) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 k (/.f64 a k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2)) (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 a (pow.f64 k -2)) 2) (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 k (/.f64 a k)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 k k) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (*.f64 k k) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 k (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 a (pow.f64 k -2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 k (/.f64 a k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) -1) (+.f64 (*.f64 a (pow.f64 k -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) -1) (-.f64 (fma.f64 a (pow.f64 k -2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a k) k)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) (+.f64 (*.f64 a (pow.f64 k -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a (pow.f64 k -2) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 a (pow.f64 k -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 k (neg.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a k)) (neg.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 a (pow.f64 k -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 a (pow.f64 k -2) -1) (fma.f64 a (pow.f64 k -2) -1)) (fma.f64 a (pow.f64 k -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 a (pow.f64 k -2) -1) (fma.f64 a (pow.f64 k -2) -1))) (-.f64 1 (fma.f64 a (pow.f64 k -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a 1) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (cbrt.f64 (pow.f64 k 4))) (pow.f64 (cbrt.f64 k) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a k) 1) k)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a k) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a k) (sqrt.f64 k)) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (pow.f64 k -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (pow.f64 k -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) k) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (pow.f64 k -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (/.f64 a k)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 k (neg.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a a) (pow.f64 k 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (pow.f64 k -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (pow.f64 k -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (pow.f64 k -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (pow.f64 k -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a (pow.f64 k -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a (pow.f64 k -2) 1)) 2) (cbrt.f64 (fma.f64 a (pow.f64 k -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) (hypot.f64 1 (/.f64 (sqrt.f64 a) k)) -1)))))

simplify188.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	336
1	11	336
2	20	336
3	35	336
4	75	336
5	224	336
6	834	336
7	2043	336
8	2209	336
9	2393	336
10	2601	336
11	2898	336
12	3291	336
13	3772	336
14	4340	336
15	5028	336
16	5863	336
17	6255	336
18	6543	336
19	6819	336
20	6891	336
21	6927	336

Stop Event

1×	node limit

Counts

162 → 72

Calls

Call 1

Inputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))

Outputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 a (*.f64 10 k))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(/.f64 a (*.f64 10 k))
1.0ms	a	@	0	(/.f64 a (*.f64 10 k))
1.0ms	a	@	inf	(/.f64 a (*.f64 10 k))
1.0ms	k	@	inf	(/.f64 a (*.f64 10 k))
1.0ms	k	@	0	(/.f64 a (*.f64 10 k))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
616×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1655	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 a (*.f64 10 k))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1/10 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/10 (/.f64 a k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/10 (/.f64 a k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/10 (/.f64 a k))) (pow.f64 (cbrt.f64 (*.f64 1/10 (/.f64 a k))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/10 (/.f64 a k))) 2) (cbrt.f64 (*.f64 1/10 (/.f64 a k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1/10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/10 (/.f64 a k))) (sqrt.f64 (*.f64 1/10 (/.f64 a k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1/10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 k -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/10 k) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/10) (/.f64 1 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/10 (/.f64 a k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 10) (/.f64 (cbrt.f64 a) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 10) (/.f64 (sqrt.f64 a) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) k) (/.f64 (sqrt.f64 a) 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 k) (*.f64 a 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) k) (/.f64 (cbrt.f64 a) 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 100 (*.f64 k k)))) (/.f64 a (cbrt.f64 (*.f64 10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (*.f64 100 (*.f64 k k)))) (cbrt.f64 (*.f64 1/10 (/.f64 a k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 100 (*.f64 k k)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 10 k))) (/.f64 a (sqrt.f64 (*.f64 10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (*.f64 10 k))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 (/.f64 a k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 (/.f64 a k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/10 (/.f64 a k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 (/.f64 a k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (/.f64 k a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 k -10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 (/.f64 a k)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 1/10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/10 (/.f64 a k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 10 k) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/10 (/.f64 a k))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 (/.f64 a k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 (/.f64 a k))))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

62 → 38

Calls

Call 1

Inputs
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))

Outputs
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))
(*.f64 1/10 (/.f64 a k))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.2b	(/.f64 a (*.f64 k k))

Compiler

Compiled 13 to 5 computations (61.5% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 a k) (/.f64 1 k))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 (/.f64 a k) (/.f64 1 k))
0.0ms	a	@	-inf	(*.f64 (/.f64 a k) (/.f64 1 k))
0.0ms	a	@	inf	(*.f64 (/.f64 a k) (/.f64 1 k))
0.0ms	k	@	inf	(*.f64 (/.f64 a k) (/.f64 1 k))
0.0ms	k	@	0	(*.f64 (/.f64 a k) (/.f64 1 k))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
665×	`add-log-exp_binary64`
665×	`log1p-expm1-u_binary64`
665×	`expm1-log1p-u_binary64`
651×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	146	7
2	1924	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(*.f64 (/.f64 a k) (/.f64 1 k))

Outputs

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

simplify168.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit

Counts

66 → 43

Calls

Call 1

Inputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))

Outputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
	6.2b	(/.f64 a (*.f64 k k))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
1.0ms	k	@	0	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
1.0ms	k	@	inf	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
1.0ms	a	@	-inf	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
1.0ms	k	@	-inf	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
276×	`pow2_binary64`
193×	`pow1/3_binary64`
187×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	220	16
2	3013	16

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a (*.f64 k k)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a (*.f64 k k)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))) (/.f64 a (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)) (/.f64 a (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 (pow.f64 k -2) (+.f64 (/.f64 -10 k) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 (pow.f64 k -2) (+.f64 (/.f64 -10 k) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 (pow.f64 k -2) (+.f64 (/.f64 -10 k) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 (pow.f64 k -2) (+.f64 (/.f64 -10 k) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (*.f64 k k))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 k k) (*.f64 (+.f64 (/.f64 -10 k) 1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 k (/.f64 a k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1000 (pow.f64 k -3) 1) (*.f64 (/.f64 k (/.f64 a k)) (-.f64 (fma.f64 100 (pow.f64 k -2) 1) (/.f64 -10 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 100 (pow.f64 k -2) -1) (*.f64 (/.f64 k (/.f64 a k)) (+.f64 (/.f64 -10 k) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a)) (neg.f64 (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1000 (pow.f64 k -3) 1) 1) (*.f64 (-.f64 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(/.f64 a (*.f64 k k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 -10 k)) (log.f64 (/.f64 a (*.f64 k k)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 (/.f64 -10 k)) (log.f64 (/.f64 a (*.f64 k k))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (/.f64 -10 k)) (log.f64 (/.f64 a (*.f64 k k))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a)) k)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 -10 k)) (log.f64 (/.f64 a (*.f64 k k)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k)) (/.f64 a (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 a (*.f64 k k)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 a (*.f64 k k)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 k -2) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 k -2) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k) (/.f64 a (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (*.f64 k k)) 1 (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (*.f64 k k)) 1 (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 a (*.f64 k k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 a) k) 4)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 a (*.f64 k k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 a) k) 4)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change 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(sqrt.f64 a) (pow.f64 k -2)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (pow.f64 k -2)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 a) (/.f64 1 (neg.f64 (*.f64 k k))) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 a) (/.f64 1 (neg.f64 (*.f64 k k))) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 k -2) a (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 k -2) a (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 k) (/.f64 a k) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 k) (/.f64 a k) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a k) (/.f64 1 k) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a k) (/.f64 1 k) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 k k)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 k k)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 k k)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 k k)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) k) (/.f64 (cbrt.f64 a) k) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) k) (/.f64 (cbrt.f64 a) k) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 (cbrt.f64 k) k)) (/.f64 a (pow.f64 (cbrt.f64 k) 2)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 (cbrt.f64 k) k)) (/.f64 a (pow.f64 (cbrt.f64 k) 2)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 k) k)) (cbrt.f64 (/.f64 a (*.f64 k k))) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 k) k)) (cbrt.f64 (/.f64 a (*.f64 k k))) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (*.f64 (cbrt.f64 k) k)) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 k) 2)) (*.f64 (/.f64 -10 k) (/.f64 a (*.f64 k k))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (*.f64 (cbrt.f64 k) k)) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 k) 2)) (*.f64 (/.f64 a (*.f64 k k)) (/.f64 -10 k)))))))

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

881×	`div-sub_binary64`
715×	`associate-/l/_binary64`
482×	`fma-def_binary64`
422×	`fma-neg_binary64`
343×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	423
1	47	381
2	113	360
3	314	318
4	1496	318
5	3784	318
6	6261	318

Stop Event

1×	node limit

Counts

119 → 102

Calls

Call 1

Inputs
(*.f64 -10 (/.f64 a (pow.f64 k 3)))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (pow.f64 k 2))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (pow.f64 k 2))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))

Outputs
(*.f64 -10 (/.f64 a (pow.f64 k 3)))
(/.f64 -10 (/.f64 (pow.f64 k 3) a))
(*.f64 a (/.f64 -10 (pow.f64 k 3)))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))
(/.f64 (.f64 (-.f64 1 (.f64 10 (/.f64 1 k))) a) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (/.f64 a (.f64 k k)))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 1 (/.f64 -10 k)) (/.f64 a (.f64 k k)))
(/.f64 (fma.f64 -10 (/.f64 a k) a) (*.f64 k k))

eval236.0ms (1.5%)

Compiler: Compiled 4873 to 2903 computations (40.4% saved)

prune125.0ms (0.8%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	345	6	351
Fresh	1	2	3
Picked	0	1	1
Done	0	10	10
Total	346	19	365

Error

Counts

365 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	43.9b	(/.f64 (/.f64 (/.f64 a k) (sqrt.f64 k)) (sqrt.f64 k))
	40.4b	(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a) k) k)
✓	40.1b	(/.f64 (/.f64 a k) k)
	40.1b	(/.f64 (/.f64 1 k) (/.f64 k a))
	40.1b	(/.f64 (*.f64 (/.f64 1 k) (neg.f64 a)) (neg.f64 k))
✓	23.7b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	24.1b	(/.f64 a (+.f64 1 (*.f64 k k)))
✓	39.8b	(/.f64 a (+.f64 1 (*.f64 k 10)))
✓	39.8b	(/.f64 a (*.f64 k k))
✓	55.3b	(/.f64 a (*.f64 10 k))
	40.2b	(/.f64 1 (*.f64 (/.f64 k a) k))
✓	37.4b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
	39.9b	(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
	47.1b	(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
✓	46.9b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	15.8b	(*.f64 (pow.f64 k m) a)
✓	40.1b	(*.f64 (/.f64 a k) (/.f64 1 k))
✓	40.0b	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
	46.5b	a

Compiler

Compiled 198 to 141 computations (28.8% saved)

regimes278.0ms (1.8%)

Counts

31 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (*.f64 (/.f64 1 k) (neg.f64 a)) (neg.f64 k))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a) k) k)
(*.f64 (pow.f64 k m) a)
(pow.f64 (*.f64 k (/.f64 k a)) -1)
(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (/.f64 (/.f64 a k) (sqrt.f64 k)) (sqrt.f64 k))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 a (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 k (+.f64 k 10))) 3)))
(*.f64 a (cbrt.f64 (pow.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) 3)))
(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))
(/.f64 (*.f64 a (pow.f64 k m)) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 10 k) 1)) 3))
(/.f64 (/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))

Outputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (/.f64 (/.f64 a k) (sqrt.f64 k)) (sqrt.f64 k))
(/.f64 a (*.f64 k k))

Calls

4 calls:

84.0ms	k
53.0ms	m
52.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
32.0ms	a

Results

Error	Segments	Branch
1.5b	1	`a`
0.5b	3	`k`
1.5b	1	`m`
1.5b	1	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 320 to 181 computations (43.4% saved)

bsearch192.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	4.7260694517731704e+255	2.921978056969773e+259
74.0ms	4.048861052791887e+169	6.144499478288846e+169

Compiler

Compiled 328 to 213 computations (35.1% saved)

regimes192.0ms (1.2%)

Counts

24 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (*.f64 (/.f64 1 k) (neg.f64 a)) (neg.f64 k))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a) k) k)
(*.f64 (pow.f64 k m) a)
(pow.f64 (*.f64 k (/.f64 k a)) -1)
(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Outputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (/.f64 a k) k)
(/.f64 a (*.f64 k k))

Calls

4 calls:

89.0ms	k
33.0ms	a
32.0ms	m
18.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Results

Error	Segments	Branch
1.5b	1	`a`
0.5b	3	`k`
1.5b	1	`m`
1.5b	1	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 221 to 125 computations (43.4% saved)

bsearch188.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
131.0ms	4.7260694517731704e+255	2.921978056969773e+259
57.0ms	4.048861052791887e+169	6.144499478288846e+169

Compiler

Compiled 280 to 189 computations (32.5% saved)

regimes165.0ms (1%)

Counts

23 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (*.f64 (/.f64 1 k) (neg.f64 a)) (neg.f64 k))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a) k) k)
(*.f64 (pow.f64 k m) a)
(pow.f64 (*.f64 k (/.f64 k a)) -1)
(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))

Outputs
(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(*.f64 (pow.f64 k m) a)

Calls

3 calls:

67.0ms	a
49.0ms	k
40.0ms	m

Results

Error	Segments	Branch
8.8b	5	`a`
2.8b	4	`k`
1.6b	3	`m`

Compiler

Compiled 188 to 107 computations (43.1% saved)

bsearch118.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	7.120650952063449e-16	186155.6662448794
70.0ms	-1.3340397912652237e-10	-8.514939184233623e-26

Compiler

Compiled 546 to 403 computations (26.2% saved)

regimes159.0ms (1%)

Counts

22 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (*.f64 (/.f64 1 k) (neg.f64 a)) (neg.f64 k))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a) k) k)
(*.f64 (pow.f64 k m) a)
(pow.f64 (*.f64 k (/.f64 k a)) -1)
(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))

Outputs
(*.f64 (pow.f64 k m) a)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(*.f64 (pow.f64 k m) a)

Calls

3 calls:

77.0ms	a
43.0ms	k
34.0ms	m

Results

Error	Segments	Branch
10.6b	7	`a`
2.9b	4	`k`
1.7b	3	`m`

Compiler

Compiled 177 to 101 computations (42.9% saved)

bsearch107.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	7.120650952063449e-16	186155.6662448794
55.0ms	-0.0903972267875942	-4.452984416087612e-5

Compiler

Compiled 442 to 321 computations (27.4% saved)

regimes100.0ms (0.6%)

Counts

19 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (*.f64 (/.f64 1 k) (neg.f64 a)) (neg.f64 k))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 -10 k) 1) a) k) k)

Outputs
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)

Calls

3 calls:

53.0ms	k
29.0ms	m
12.0ms	a

Results

Error	Segments	Branch
23.7b	1	`a`
19.7b	5	`k`
16.6b	3	`m`

Compiler

Compiled 154 to 90 computations (41.6% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	1.7068083875888075e+45	2.629964586758049e+49
27.0ms	-3842.035546709512	-194.88315843269706

Compiler

Compiled 414 to 325 computations (21.5% saved)

regimes80.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)

Outputs
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k k)))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)

Calls

3 calls:

38.0ms	k
28.0ms	m
9.0ms	a

Results

Error	Segments	Branch
24.1b	1	`a`
20.1b	5	`k`
17.0b	3	`m`

Compiler

Compiled 92 to 51 computations (44.6% saved)

bsearch70.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.7068083875888075e+45	2.629964586758049e+49
27.0ms	-3842.035546709512	-194.88315843269706

Compiler

Compiled 384 to 295 computations (23.2% saved)

regimes67.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)

Outputs
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)
(/.f64 a (+.f64 1 (*.f64 k k)))
(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)

Calls

3 calls:

30.0ms	k
23.0ms	m
8.0ms	a

Results

Error	Segments	Branch
24.1b	1	`a`
21.5b	4	`k`
19.0b	3	`m`

Compiler

Compiled 83 to 47 computations (43.4% saved)

bsearch77.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	1.7068083875888075e+45	2.629964586758049e+49
30.0ms	-3842.035546709512	-194.88315843269706

Compiler

Compiled 384 to 302 computations (21.4% saved)

regimes41.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 1 k) (/.f64 k a))

Outputs
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 (/.f64 a k) k)
(/.f64 a (*.f64 k k))

Calls

3 calls:

22.0ms	k
8.0ms	a
7.0ms	m

Results

Error	Segments	Branch
24.1b	1	`a`
23.1b	3	`k`
24.1b	1	`m`

Compiler

Compiled 74 to 41 computations (44.6% saved)

bsearch112.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	4.7260694517731704e+255	2.921978056969773e+259
32.0ms	4.048861052791887e+169	6.144499478288846e+169

Compiler

Compiled 248 to 169 computations (31.9% saved)

regimes118.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(/.f64 a (+.f64 1 (*.f64 k 10)))

Outputs
(/.f64 a (*.f64 k k))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 (/.f64 a k) k)

Calls

3 calls:

63.0ms	a
34.0ms	m
19.0ms	k

Results

Error	Segments	Branch
33.7b	7	`a`
23.3b	3	`k`
30.9b	4	`m`

Compiler

Compiled 60 to 35 computations (41.7% saved)

bsearch135.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
97.0ms	4.657431539412587e-9	224.2882104602067
37.0ms	-1.0169912771638162e+26	-0.21283855177304503

Compiler

Compiled 444 to 332 computations (25.2% saved)

regimes145.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 1 (*.f64 (/.f64 k a) k))

Outputs
(/.f64 a (*.f64 k k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 (/.f64 a k) k)

Calls

3 calls:

72.0ms	m
43.0ms	a
22.0ms	k

Results

Error	Segments	Branch
35.8b	7	`a`
23.3b	3	`k`
32.9b	6	`m`

Compiler

Compiled 53 to 30 computations (43.4% saved)

bsearch121.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	4.657431539412587e-9	224.2882104602067
37.0ms	-1.0169912771638162e+26	-0.21283855177304503

Compiler

Compiled 444 to 311 computations (30% saved)

regimes84.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(*.f64 (/.f64 a k) (/.f64 1 k))

Outputs
(/.f64 a (*.f64 k k))
a
(/.f64 (/.f64 a k) k)

Calls

3 calls:

36.0ms	a
30.0ms	m
15.0ms	k

Results

Error	Segments	Branch
35.8b	7	`a`
23.5b	3	`k`
32.9b	6	`m`

Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch105.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	4.657431539412587e-9	224.2882104602067
31.0ms	-1.0169912771638162e+26	-0.21283855177304503

Compiler

Compiled 318 to 227 computations (28.6% saved)

regimes62.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))
(/.f64 a (*.f64 k k))

Outputs
(/.f64 a (*.f64 k k))
a
(/.f64 a (*.f64 k k))

Calls

3 calls:

34.0ms	a
15.0ms	m
12.0ms	k

Results

Error	Segments	Branch
36.0b	7	`a`
24.1b	3	`k`
34.6b	4	`m`

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch132.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
97.0ms	4.657431539412587e-9	224.2882104602067
35.0ms	-1.0169912771638162e+26	-0.21283855177304503

Compiler

Compiled 318 to 227 computations (28.6% saved)

regimes66.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

Inputs
a
a
(/.f64 a (*.f64 10 k))

Outputs
(/.f64 a (*.f64 10 k))
a
(/.f64 a (*.f64 10 k))

Calls

3 calls:

22.0ms	k
21.0ms	m
21.0ms	a

Results

Error	Segments	Branch
44.4b	3	`a`
40.1b	3	`k`
44.0b	2	`m`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch170.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
128.0ms	4.657431539412587e-9	224.2882104602067
41.0ms	-0.21283855177304503	-0.0003784581057792104

Compiler

Compiled 276 to 215 computations (22.1% saved)

regimes22.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
a
a

Outputs
a

Calls

3 calls:

8.0ms	k
7.0ms	a
6.0ms	m

Results

Error	Segments	Branch
46.5b	1	`a`
46.5b	1	`k`
46.5b	1	`m`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
6×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	527
1	107	527
2	109	527

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 (/.f64 a k) (sqrt.f64 k)) (sqrt.f64 k)) (/.f64 a (.f64 k k))))
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 a k) k) (/.f64 a (.f64 k k))))
(if (<=.f64 m -5029131409596857/38685626227668133590597632) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k))) (if (<=.f64 m 185000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 (pow.f64 k m) a)))
(if (<=.f64 m -3242591731706757/36028797018963968) (.f64 (pow.f64 k m) a) (if (<=.f64 m 185000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -3800) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)))
(if (<=.f64 m -3800) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k k))) (-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)))
(if (<=.f64 m -3800) (-.f64 (+.f64 1 (.f64 1/10 (/.f64 a k))) 1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k k))) (-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)))
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 a (+.f64 1 (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 a k) k) (/.f64 a (.f64 k k))))
(if (<=.f64 k -1) (/.f64 a (.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -100000000000000004764729344) (/.f64 a (.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) (+.f64 a (.f64 -10 (*.f64 k a))) (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -100000000000000004764729344) (/.f64 a (*.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) a (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -100000000000000004764729344) (/.f64 a (.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) a (/.f64 a (.f64 k k))))
(if (<=.f64 k -3504881374004815/9223372036854775808) (/.f64 a (.f64 10 k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) a (/.f64 a (.f64 10 k))))
a

Outputs
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 (/.f64 a k) (sqrt.f64 k)) (sqrt.f64 k)) (/.f64 a (.f64 k k))))
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 (/.f64 a k) (sqrt.f64 k)) (sqrt.f64 k)) (/.f64 a (.f64 k k))))
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 a k) k) (/.f64 a (.f64 k k))))
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 a k) k) (/.f64 a (.f64 k k))))
(if (<=.f64 m -5029131409596857/38685626227668133590597632) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k))) (if (<=.f64 m 185000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 (pow.f64 k m) a)))
(if (<=.f64 m -5029131409596857/38685626227668133590597632) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10))) (if (<=.f64 m 185000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 a (pow.f64 k m))))
(if (<=.f64 m -3242591731706757/36028797018963968) (.f64 (pow.f64 k m) a) (if (<=.f64 m 185000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -3242591731706757/36028797018963968) (.f64 a (pow.f64 k m)) (if (<=.f64 m 185000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 a (pow.f64 k m))))
(if (<=.f64 m -3800) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)))
(if (<=.f64 m -3800) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (+.f64 1 (*.f64 (/.f64 a k) 1/10)) -1)))
(if (<=.f64 m -3800) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k k))) (-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)))
(if (<=.f64 m -3800) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k k))) (+.f64 (+.f64 1 (*.f64 (/.f64 a k) 1/10)) -1)))
(if (<=.f64 m -3800) (-.f64 (+.f64 1 (.f64 1/10 (/.f64 a k))) 1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k k))) (-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)))
(if (<=.f64 m -3800) (+.f64 (+.f64 1 (.f64 (/.f64 a k) 1/10)) -1) (if (<=.f64 m 1750000000000000114759743335730227415510679552) (/.f64 a (+.f64 1 (.f64 k k))) (+.f64 (+.f64 1 (*.f64 (/.f64 a k) 1/10)) -1)))
(if (<=.f64 k 41000000000000003154196257574348188120885895588701273035301952223787829268741881180925152893606486184827502186607888994886052569938884573041781528948177224881991225180160) (/.f64 a (+.f64 1 (.f64 k k))) (if (<=.f64 k 28999999999999999300050730944430123900979087043249318609968167350640624014434897175499470206844058264421072041811198086389582189913660197766209295185701428994456098878982329142297962698723221327363750722593470260999866113899035980078628759301666687589143281664) (/.f64 (/.f64 a k) k) (/.f64 a (.f64 k k))))
(if (<=.f64 k -1) (/.f64 a (.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -100000000000000004764729344) (/.f64 a (.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) (+.f64 a (.f64 -10 (*.f64 k a))) (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -100000000000000004764729344) (/.f64 a (*.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) a (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -100000000000000004764729344) (/.f64 a (.f64 k k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) a (/.f64 a (.f64 k k))))
(if (<=.f64 k -3504881374004815/9223372036854775808) (/.f64 a (.f64 10 k)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) a (/.f64 a (.f64 10 k))))
(if (<=.f64 k -3504881374004815/9223372036854775808) (/.f64 a (.f64 k 10)) (if (<=.f64 k 5681951352188757/1208925819614629174706176) a (/.f64 a (.f64 k 10))))
a

Compiler

Compiled 406 to 255 computations (37.2% saved)

soundness714.0ms (4.5%)

Algorithm

5×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
656×	`fma-neg_binary64`
656×	`fma-neg_binary64`
601×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	18
2	56	17
3	111	17
4	285	17
5	914	17
6	2898	17
7	4370	17
8	4462	17
9	4626	17
10	4845	17
11	5231	17
12	5854	17
13	7207	17
0	51	394
1	167	333
2	664	310
3	2811	295
0	13	22
1	27	18
2	56	17
3	111	17
4	285	17
5	914	17
6	2898	17
7	4370	17
8	4462	17
9	4626	17
10	4845	17
11	5231	17
12	5854	17
13	7207	17
0	51	394
1	167	333
2	664	310
3	2811	295
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	224	168
6	834	168
7	2043	168
8	2209	168
9	2393	168
10	2601	168
11	2898	168
12	3291	168
13	3772	168
14	4340	168
15	5028	168
16	5863	168
17	6255	168
18	6543	168
19	6819	168
20	6891	168
21	6927	168

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 300 to 201 computations (33% saved)

end216.0ms (1.4%)

Compiler: Compiled 367 to 181 computations (50.7% saved)