Details

analyze580.0ms (4.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
19.5%	79.6%	0.9%	9
23.8%	66.7%	9.5%	10
27.3%	63%	9.7%	11
30%	56.1%	13.9%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample3.3s (25.8%)

Results

1.7s	8256×	body	256	valid
1.5s	6334×	body	256	invalid

preprocess97.0ms (0.8%)

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)

simplify131.0ms (1%)

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)

localize78.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	1.4b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series54.0ms (0.4%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
37.0ms	a	@	0	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
4.0ms	m	@	0	(*.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	k	@	inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
1.0ms	m	@	inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

rewrite69.0ms (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	31
1	236	31
2	3052	31

Stop Event

1×	node limit

Counts

2 → 73

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))

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 (expm1.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.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 (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 (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 (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 (pow.f64 k m) (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) (pow.f64 k m))) -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 (expm1.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.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 (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 (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 (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 (pow.f64 k m) (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) (pow.f64 k m))) -1))))))

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def_binary64`
416×	`times-frac_binary64`
400×	`associate-/l*_binary64`
338×	`*-commutative_binary64`
293×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	2271
1	567	2044
2	2063	1628
3	7618	1580

Stop Event

1×	node limit

Counts

133 → 141

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))))

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

localize17.0ms (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 a (pow.f64 k m))
✓	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)

series44.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	k	@	-inf	(*.f64 a (pow.f64 k m))
11.0ms	k	@	0	(*.f64 a (pow.f64 k m))
10.0ms	k	@	inf	(*.f64 a (pow.f64 k m))
3.0ms	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)))

rewrite127.0ms (1%)

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	34
2	4008	32

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs
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Outputs

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

699×	`associate-r_binary64`
693×	`fma-def_binary64`
669×	`associate-l_binary64`
305×	`associate-/l*_binary64`
297×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1804
1	378	1619
2	1394	1307
3	7250	1271

Stop Event

1×	node limit

Counts

224 → 189

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

eval228.0ms (1.8%)

Compiler: Compiled 7952 to 4646 computations (41.6% saved)

prune106.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	318	12	330
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	320	12	332

Error

1.5b

Counts

332 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	24.0b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
▶	24.0b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	15.3b	(/.f64 (pow.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) 2) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
▶	11.2b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
▶	1.7b	(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
	2.0b	(/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 3) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
	14.6b	(.f64 (.f64 (pow.f64 k m) a) (fma.f64 k -10 1))
▶	14.3b	(*.f64 (pow.f64 k m) a)
▶	1.5b	(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
	21.8b	(/.f64 (.f64 a (pow.f64 k m)) (/.f64 (+.f64 1 (pow.f64 (.f64 k (+.f64 10 k)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 k (+.f64 10 k)) 2) (.f64 k (+.f64 10 k))))))
	1.5b	(/.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)))
	26.5b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))

Compiler

Compiled 410 to 290 computations (29.3% saved)

localize30.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

series35.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	k	@	-inf	(/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))
1.0ms	a	@	inf	(/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))
1.0ms	k	@	inf	(/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))
1.0ms	m	@	0	(/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))
1.0ms	k	@	0	(/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`log-prod_binary64`
334×	`pow-prod-down_binary64`
322×	`pow2_binary64`
230×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	242	31
2	3296	31

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

385×	`*-commutative_binary64`
363×	`distribute-rgt-in_binary64`
347×	`distribute-lft-in_binary64`
333×	`associate-+l+_binary64`
308×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2100
1	521	1854
2	2080	1574
3	7934	1574

Stop Event

1×	node limit

Counts

148 → 148

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)))
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(/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))
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(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
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(/.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))))
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(/.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 1 (exp.f64 (*.f64 (log.f64 k) m)))
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(+.f64 (/.f64 (pow.f64 k 2) (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (.f64 10 (/.f64 k (exp.f64 (.f64 (log.f64 k) m)))) (/.f64 1 (exp.f64 (.f64 (log.f64 k) m)))))
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(/.f64 (pow.f64 k 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))
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(/.f64 (pow.f64 k 2) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)))
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(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (exp.f64 (.f64 (log.f64 k) m)))
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(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (exp.f64 (.f64 (log.f64 k) m)))
(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (exp.f64 (.f64 (log.f64 k) m)))
(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (exp.f64 (.f64 (log.f64 k) m)))
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(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (exp.f64 (.f64 (log.f64 k) m)))
(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (exp.f64 (.f64 (log.f64 k) m)))

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
✓	0.0b	(*.f64 k (+.f64 k 10))
✓	2.9b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

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

rewrite75.0ms (0.6%)

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	30
1	201	26
2	2770	26

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(*.f64 k (+.f64 k 10))
(+.f64 1 (*.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 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k) (fma.f64 k 10 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 k (pow.f64 (cbrt.f64 (+.f64 k 10)) 2)) (cbrt.f64 (+.f64 k 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 k (sqrt.f64 (+.f64 k 10))) (sqrt.f64 (+.f64 k 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 k 10) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 k 10) (sqrt.f64 k)) (sqrt.f64 k) 1)))))

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-neg_binary64`
518×	`times-frac_binary64`
363×	`associate-/l*_binary64`
363×	`fma-def_binary64`
324×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	508
1	175	421
2	675	386
3	2835	371

Stop Event

1×	node limit

Counts

193 → 183

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 k m) a)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`pow1_binary64`
535×	`add-log-exp_binary64`
535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
521×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1470	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (pow.f64 k m) a)

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-def_binary64`
722×	`distribute-rgt-neg-out_binary64`
587×	`distribute-lft-neg-out_binary64`
507×	`unsub-neg_binary64`
412×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	315
1	113	309
2	313	307
3	1422	300
4	4266	300

Stop Event

1×	node limit

Counts

47 → 22

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

series6.0ms (0.1%)

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	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	a	@	inf	(/.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)))

rewrite64.0ms (0.5%)

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))))))

simplify58.0ms (0.5%)

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (pow.f64 k m))
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
✓	1.5b	(/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m)))

Compiler

Compiled 51 to 25 computations (51% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
341×	`pow2_binary64`
267×	`pow-unpow_binary64`
236×	`pow1/3_binary64`
232×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	264	34
2	3539	34

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-def_binary64`
389×	`*-commutative_binary64`
388×	`associate-/l*_binary64`
338×	`times-frac_binary64`
307×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2457
1	545	2212
2	2048	1866

Stop Event

1×	node limit

Counts

177 → 166

Calls

Call 1

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

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

eval296.0ms (2.3%)

Compiler: Compiled 13538 to 8305 computations (38.7% saved)

prune113.0ms (0.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	645	13	658
Fresh	5	2	7
Picked	1	0	1
Done	2	2	4
Total	653	17	670

Error

0.1b

Counts

670 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	24.0b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
✓	24.0b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	17.7b	(/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k))
▶	24.9b	(/.f64 a (+.f64 1 (*.f64 k k)))
	24.1b	(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
	36.6b	(/.f64 a (+.f64 1 (/.f64 (.f64 (+.f64 1000 (pow.f64 k 3)) k) (-.f64 (fma.f64 k k 100) (.f64 k 10)))))
	38.4b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	46.1b	(+.f64 a (.f64 -10 (.f64 k a)))
	14.6b	(.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (*.f64 k -10)))
	45.6b	a
✓	14.3b	(*.f64 (pow.f64 k m) a)
	20.2b	(/.f64 1 (/.f64 k (/.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 k a))))
▶	41.4b	(/.f64 a (*.f64 k k))
▶	14.3b	(/.f64 a (pow.f64 k (neg.f64 m)))
	27.9b	(cbrt.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 3))
▶	41.3b	(+.f64 (/.f64 a (.f64 k k)) (.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
▶	26.5b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))

Compiler

Compiled 408 to 293 computations (28.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 a (pow.f64 k (neg.f64 m)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
645×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
630×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	153	7
2	2118	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 a (pow.f64 k (neg.f64 m)))

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

472×	`associate-+l+_binary64`
458×	`distribute-rgt-in_binary64`
433×	`distribute-lft-in_binary64`
399×	`fma-neg_binary64`
346×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	545
1	146	429
2	473	373
3	2431	305

Stop Event

1×	node limit

Counts

68 → 42

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 a (*.f64 k k))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`pow1_binary64`
529×	`add-log-exp_binary64`
529×	`log1p-expm1-u_binary64`
529×	`expm1-log1p-u_binary64`
515×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1449	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 a (*.f64 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 (pow.f64 k -2))))) (#(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 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 (pow.f64 k -2) a)))) (#(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 (*.f64 k k))))))) (#(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 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 (*.f64 k k) a) -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 (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))))))))

simplify164.0ms (1.3%)

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

55 → 33

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 k k))
✓	2.9b	(/.f64 a (+.f64 1 (*.f64 k k)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite59.0ms (0.5%)

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	17
1	147	13
2	1964	13

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

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

simplify51.0ms (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	430
1	97	368
2	274	363
3	1004	358
4	4965	345

Stop Event

1×	node limit

Counts

99 → 84

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))))))
1
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (pow.f64 k 2))
(pow.f64 k 2)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (pow.f64 k 2))
(pow.f64 k 2)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (pow.f64 k 2))

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))))
1
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)
(+.f64 1 (pow.f64 k 2))
(+.f64 1 (*.f64 k k))
(fma.f64 k k 1)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (pow.f64 k m))
✓	10.2b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
396×	`exp-prod_binary64`
307×	`pow-prod-down_binary64`
238×	`pow2_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	10
2	2503	10

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-*l/_binary64`
544×	`associate-/r/_binary64`
477×	`associate-*r/_binary64`
477×	`fma-def_binary64`
468×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	567
1	138	567
2	419	561
3	2312	543
4	7564	543

Stop Event

1×	node limit

Counts

101 → 77

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -10 (/.f64 -99 k))
✓	0.1b	(*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k)))
✓	5.0b	(/.f64 a (pow.f64 k 3))
	7.1b	(/.f64 a (*.f64 k k))

Compiler

Compiled 60 to 36 computations (40% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k)))
1.0ms	a	@	0	(/.f64 a (pow.f64 k 3))
1.0ms	k	@	inf	(*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k)))
1.0ms	k	@	0	(*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k)))
1.0ms	a	@	inf	(/.f64 a (pow.f64 k 3))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
354×	`pow-prod-down_binary64`
312×	`pow2_binary64`
217×	`pow1/3_binary64`
217×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	255	30
2	3287	30

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs
(/.f64 a (pow.f64 k 3))
(*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k)))
(-.f64 -10 (/.f64 -99 k))

Outputs

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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -10 (/.f64 99 k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 -10 (/.f64 99 k)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 -10 (/.f64 99 k)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 -10 (/.f64 99 k)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -99 (neg.f64 (/.f64 1 k)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 99 k) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9801 (pow.f64 k -2))) (neg.f64 (cbrt.f64 (/.f64 -99 k))) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -99 k)) (neg.f64 (sqrt.f64 (/.f64 -99 k))) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99 (/.f64 1 k) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 99 k)) 2) (cbrt.f64 (/.f64 99 k)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 99 k)) (sqrt.f64 (/.f64 99 k)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -99 k) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 9801 (pow.f64 k -2)))) (cbrt.f64 (/.f64 -99 k)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 -99 k))) (sqrt.f64 (/.f64 -99 k)) -10)))))

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

637×	`times-frac_binary64`
627×	`div-sub_binary64`
571×	`fma-def_binary64`
433×	`associate-/r*_binary64`
430×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	435
1	51	435
2	128	435
3	316	435
4	954	435
5	4585	435
6	6531	435

Stop Event

1×	node limit

Counts

183 → 158

Calls

Call 1

Inputs
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(*.f64 99 (/.f64 a (pow.f64 k 4)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(*.f64 -10 (/.f64 a (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(*.f64 -10 (/.f64 a (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 99 k)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
-10
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
-10
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)

Outputs
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 (.f64 a (-.f64 (.f64 99 (/.f64 1 k)) 10)) (pow.f64 k 3))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(*.f64 99 (/.f64 a (pow.f64 k 4)))
(/.f64 (*.f64 a 99) (pow.f64 k 4))
(*.f64 a (/.f64 99 (pow.f64 k 4)))
(/.f64 99 (/.f64 (pow.f64 k 4) a))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(*.f64 -10 (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 -10 (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(*.f64 -10 (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 -10 (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(+.f64 (.f64 99 (/.f64 a (pow.f64 k 4))) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(/.f64 a (/.f64 (pow.f64 k 3) (+.f64 (/.f64 99 k) -10)))
(*.f64 (/.f64 a (pow.f64 k 3)) (+.f64 (/.f64 99 k) -10))
(*.f64 (-.f64 (/.f64 99 k) 10) (/.f64 a (pow.f64 k 3)))
(*.f64 a (/.f64 (+.f64 (/.f64 99 k) -10) (pow.f64 k 3)))
(/.f64 99 k)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
-10
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
-10
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)
(-.f64 (*.f64 99 (/.f64 1 k)) 10)
(+.f64 (/.f64 99 k) -10)
(-.f64 (/.f64 99 k) 10)

eval152.0ms (1.2%)

Compiler: Compiled 7476 to 4088 computations (45.3% saved)

prune132.0ms (1%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	4	6	10
Picked	1	0	1
Done	0	6	6
Total	454	19	473

Error

Counts

473 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.0b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
✓	24.0b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	41.3b	(*.f64 (pow.f64 k -2) a)
✓	24.9b	(/.f64 a (+.f64 1 (*.f64 k k)))
▶	41.4b	(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))
▶	41.1b	(/.f64 (/.f64 a k) k)
	24.1b	(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
	38.4b	(/.f64 a (+.f64 1 (*.f64 k 10)))
▶	46.1b	(+.f64 a (.f64 -10 (.f64 k a)))
▶	14.6b	(.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (*.f64 k -10)))
	45.6b	a
	41.5b	(+.f64 (/.f64 a (.f64 k k)) (/.f64 (/.f64 (.f64 a (+.f64 -10 (/.f64 99 k))) (*.f64 k k)) k))
✓	14.3b	(*.f64 (pow.f64 k m) a)
	38.5b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
✓	26.5b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
✓	41.4b	(/.f64 a (*.f64 k k))
	41.2b	(*.f64 (/.f64 a k) (/.f64 1 k))
	19.0b	(*.f64 a (pow.f64 k (+.f64 m -2)))
✓	14.3b	(/.f64 a (pow.f64 k (neg.f64 m)))

Compiler

Compiled 351 to 248 computations (29.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`prod-diff_binary64`
565×	`log-prod_binary64`
382×	`fma-def_binary64`
294×	`pow2_binary64`
252×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	233	19
2	3005	19

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

719×	`unsub-neg_binary64`
496×	`associate-l_binary64`
455×	`associate-r_binary64`
376×	`associate-+l+_binary64`
354×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	759
1	186	661
2	616	631
3	3273	616
4	5959	616

Stop Event

1×	node limit

Counts

181 → 155

Calls

Call 1

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

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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.4%)

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))))))))

simplify167.0ms (1.3%)

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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.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	@	0	(.f64 -10 (.f64 k a))
1.0ms	k	@	inf	(.f64 -10 (.f64 k a))
1.0ms	a	@	inf	(.f64 -10 (.f64 k a))
0.0ms	k	@	-inf	(.f64 -10 (.f64 k a))

rewrite50.0ms (0.4%)

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))))))))

simplify10.0ms (0.1%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 k (neg.f64 k)))
✓	7.3b	(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))
0.0ms	k	@	0	(/.f64 1 (*.f64 k (neg.f64 k)))
0.0ms	k	@	inf	(/.f64 1 (*.f64 k (neg.f64 k)))
0.0ms	a	@	0	(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))
0.0ms	k	@	inf	(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`pow1_binary64`
586×	`add-log-exp_binary64`
586×	`log1p-expm1-u_binary64`
586×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	187	14
2	2603	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 a (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 k k)) (/.f64 a (*.f64 k k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 k k) a))))) (#(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 -1 (/.f64 (*.f64 k k) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a k) k)))) (#(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 (*.f64 k (pow.f64 k 3)))) (pow.f64 (cbrt.f64 k) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 k) a) k)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 -1 k)) 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 neg.f64 (/.f64 a (*.f64 k 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 cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 k k) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (*.f64 k k)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 k k)) 3) (pow.f64 a 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))))))))

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

simplify177.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
648×	`associate-/l/_binary64`
560×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	13	252
2	24	252
3	43	252
4	97	252
5	299	252
6	1102	252
7	1947	252
8	2111	252
9	2295	252
10	2503	252
11	2800	252
12	3681	252
13	4164	252
14	4732	252
15	5418	252
16	6253	252
17	6647	252
18	6937	252
19	7215	252
20	7291	252
21	7327	252

Stop Event

1×	node limit

Counts

82 → 49

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 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (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 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)
(/.f64 -1 (pow.f64 k 2))
(/.f64 -1 (*.f64 k k))
(/.f64 (/.f64 -1 k) k)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
	0.0b	(*.f64 k (+.f64 k 10))
✓	0.3b	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	2.8b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`prod-diff_binary64`
499×	`log-prod_binary64`
361×	`fma-def_binary64`
320×	`pow-prod-down_binary64`
273×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	224	22
2	2998	22

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
551×	`times-frac_binary64`
444×	`fma-def_binary64`
384×	`associate-/l*_binary64`
294×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	655
1	234	591
2	851	564
3	3385	552

Stop Event

1×	node limit

Counts

99 → 95

Calls

Call 1

Inputs
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
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)))))))
1
(+.f64 1 (*.f64 -10 k))
(+.f64 (.f64 99 (pow.f64 k 2)) (+.f64 1 (.f64 -10 k)))
(+.f64 (.f64 -980 (pow.f64 k 3)) (+.f64 (.f64 99 (pow.f64 k 2)) (+.f64 1 (*.f64 -10 k))))
(/.f64 1 (pow.f64 k 2))
(-.f64 (/.f64 1 (pow.f64 k 2)) (*.f64 10 (/.f64 1 (pow.f64 k 3))))
(-.f64 (+.f64 (.f64 99 (/.f64 1 (pow.f64 k 4))) (/.f64 1 (pow.f64 k 2))) (.f64 10 (/.f64 1 (pow.f64 k 3))))
(-.f64 (+.f64 (.f64 99 (/.f64 1 (pow.f64 k 4))) (/.f64 1 (pow.f64 k 2))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 k 3))) (*.f64 980 (/.f64 1 (pow.f64 k 5)))))
(/.f64 1 (pow.f64 k 2))
(-.f64 (/.f64 1 (pow.f64 k 2)) (*.f64 10 (/.f64 1 (pow.f64 k 3))))
(-.f64 (+.f64 (.f64 99 (/.f64 1 (pow.f64 k 4))) (/.f64 1 (pow.f64 k 2))) (.f64 10 (/.f64 1 (pow.f64 k 3))))
(-.f64 (+.f64 (.f64 99 (/.f64 1 (pow.f64 k 4))) (/.f64 1 (pow.f64 k 2))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 k 3))) (*.f64 980 (/.f64 1 (pow.f64 k 5)))))

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

eval150.0ms (1.2%)

Compiler: Compiled 7655 to 4488 computations (41.4% saved)

prune87.0ms (0.7%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	491	8	499
Fresh	1	7	8
Picked	0	1	1
Done	1	9	10
Total	493	25	518

Error

Counts

518 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.0b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
✓	24.0b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	41.3b	(*.f64 (pow.f64 k -2) a)
✓	24.9b	(/.f64 a (+.f64 1 (*.f64 k k)))
	42.5b	(.f64 (neg.f64 a) (-.f64 (+.f64 1 (/.f64 1 (.f64 k k))) 1))
	46.0b	(+.f64 a (-.f64 (+.f64 1 (.f64 -10 (.f64 k a))) 1))
✓	41.1b	(/.f64 (/.f64 a k) k)
	19.0b	(*.f64 a (pow.f64 k (+.f64 m -2)))
	41.3b	(*.f64 (neg.f64 a) (/.f64 (/.f64 -1 k) k))
	24.1b	(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
	38.4b	(/.f64 a (+.f64 1 (*.f64 k 10)))
✓	46.1b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	14.6b	(.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (*.f64 k -10)))
	45.6b	a
	41.5b	(+.f64 (/.f64 a (.f64 k k)) (/.f64 (/.f64 (.f64 a (+.f64 -10 (/.f64 99 k))) (*.f64 k k)) k))
✓	14.3b	(*.f64 (pow.f64 k m) a)
	41.2b	(*.f64 (/.f64 a k) (/.f64 1 k))
	38.5b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
✓	26.5b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
	41.4b	(.f64 a (/.f64 1 (.f64 k k)))
	41.3b	(.f64 a (.f64 (/.f64 1 k) (/.f64 1 k)))
✓	41.4b	(/.f64 a (*.f64 k k))
	41.4b	(/.f64 1 (/.f64 (*.f64 k k) a))
✓	14.3b	(/.f64 a (pow.f64 k (neg.f64 m)))
	48.5b	(/.f64 (*.f64 (/.f64 -1 k) a) k)

Compiler

Compiled 277 to 197 computations (28.9% saved)

regimes126.0ms (1%)

Counts

42 → 3

Calls

Call 1

Inputs
a
(/.f64 (/.f64 a k) k)
(/.f64 a (*.f64 k k))
(*.f64 (/.f64 a k) (/.f64 1 k))
(.f64 a (/.f64 1 (.f64 k k)))
(/.f64 1 (/.f64 (*.f64 k k) a))
(/.f64 (*.f64 (/.f64 -1 k) a) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(+.f64 a (.f64 -10 (.f64 k a)))
(*.f64 (neg.f64 a) (/.f64 (/.f64 -1 k) k))
(.f64 a (.f64 (/.f64 1 k) (/.f64 1 k)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 a (-.f64 (+.f64 1 (.f64 -10 (.f64 k a))) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (neg.f64 a) (-.f64 (+.f64 1 (/.f64 1 (.f64 k k))) 1))
(+.f64 (/.f64 a (.f64 k k)) (/.f64 (/.f64 (.f64 a (+.f64 -10 (/.f64 99 k))) (*.f64 k k)) k))
(*.f64 (pow.f64 k -2) a)
(*.f64 (pow.f64 k m) a)
(/.f64 a (pow.f64 k (neg.f64 m)))
(*.f64 a (pow.f64 k (+.f64 m -2)))
(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
(/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k))
(.f64 (.f64 a (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 a (.f64 k k)) (.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
(.f64 (.f64 (pow.f64 k m) a) (fma.f64 k -10 1))
(/.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 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
(/.f64 1 (/.f64 k (/.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 k a))))
(/.f64 a (+.f64 1 (/.f64 (.f64 (+.f64 1000 (pow.f64 k 3)) k) (-.f64 (fma.f64 k k 100) (.f64 k 10)))))
(cbrt.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 3))
(/.f64 (pow.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) 2) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 3) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (.f64 a (pow.f64 k m)) (/.f64 (+.f64 1 (pow.f64 (.f64 k (+.f64 10 k)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 k (+.f64 10 k)) 2) (.f64 k (+.f64 10 k))))))
(/.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 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))

(/.f64 1 (*.f64 (/.f64 k (*.f64 (pow.f64 k m) a)) k))

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

Calls

4 calls:

39.0ms	k
30.0ms	a
25.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
20.0ms	m

Results

Error	Segments	Branch
1.5b	1	`a`
0.1b	2	`k`
1.5b	1	`m`
0.1b	3	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 489 to 270 computations (44.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8737736701203928e-299
0.0ms	-1.1245e-320	-0.0

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes127.0ms (1%)

Counts

41 → 2

Calls

Call 1

Inputs
a
(/.f64 (/.f64 a k) k)
(/.f64 a (*.f64 k k))
(*.f64 (/.f64 a k) (/.f64 1 k))
(.f64 a (/.f64 1 (.f64 k k)))
(/.f64 1 (/.f64 (*.f64 k k) a))
(/.f64 (*.f64 (/.f64 -1 k) a) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(+.f64 a (.f64 -10 (.f64 k a)))
(*.f64 (neg.f64 a) (/.f64 (/.f64 -1 k) k))
(.f64 a (.f64 (/.f64 1 k) (/.f64 1 k)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 a (-.f64 (+.f64 1 (.f64 -10 (.f64 k a))) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (neg.f64 a) (-.f64 (+.f64 1 (/.f64 1 (.f64 k k))) 1))
(+.f64 (/.f64 a (.f64 k k)) (/.f64 (/.f64 (.f64 a (+.f64 -10 (/.f64 99 k))) (*.f64 k k)) k))
(*.f64 (pow.f64 k -2) a)
(*.f64 (pow.f64 k m) a)
(/.f64 a (pow.f64 k (neg.f64 m)))
(*.f64 a (pow.f64 k (+.f64 m -2)))
(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
(/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k))
(.f64 (.f64 a (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 a (.f64 k k)) (.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
(.f64 (.f64 (pow.f64 k m) a) (fma.f64 k -10 1))
(/.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 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
(/.f64 1 (/.f64 k (/.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 k a))))
(/.f64 a (+.f64 1 (/.f64 (.f64 (+.f64 1000 (pow.f64 k 3)) k) (-.f64 (fma.f64 k k 100) (.f64 k 10)))))
(cbrt.f64 (pow.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) 3))
(/.f64 (pow.f64 (sqrt.f64 (.f64 a (pow.f64 k m))) 2) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 3) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
(/.f64 (.f64 a (pow.f64 k m)) (/.f64 (+.f64 1 (pow.f64 (.f64 k (+.f64 10 k)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 k (+.f64 10 k)) 2) (.f64 k (+.f64 10 k))))))

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

Calls

4 calls:

40.0ms	k
25.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
24.0ms	a
24.0ms	m

Results

Error	Segments	Branch
1.5b	1	`a`
0.1b	2	`k`
1.5b	1	`m`
0.1b	3	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 468 to 258 computations (44.9% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	6.91876377668109e+114	1.8202872141898726e+115

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes114.0ms (0.9%)

Counts

35 → 3

Calls

Call 1

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

Outputs

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

(/.f64 1 (*.f64 (/.f64 k (*.f64 (pow.f64 k m) a)) k))

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

Calls

4 calls:

38.0ms	k
22.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
21.0ms	m
20.0ms	a

Results

Error	Segments	Branch
1.5b	1	`a`
0.1b	2	`k`
1.5b	1	`m`
0.1b	3	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 353 to 186 computations (47.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8737736701203928e-299
0.0ms	-1.1245e-320	-0.0

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes152.0ms (1.2%)

Counts

29 → 2

Calls

Call 1

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

Calls

3 calls:

57.0ms	a
43.0ms	k
42.0ms	m

Results

Error	Segments	Branch
8.8b	4	`a`
0.8b	2	`k`
2.2b	3	`m`

Compiler

Compiled 255 to 136 computations (46.7% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	9.135239054280667	13956529.721000431

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes243.0ms (1.9%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

3 calls:

151.0ms	a
42.0ms	k
40.0ms	m

Results

Error	Segments	Branch
10.1b	7	`a`
0.9b	2	`k`
2.2b	3	`m`

Compiler

Compiled 244 to 131 computations (46.3% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	1.1970327229540722e-7	9.135239054280667

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes223.0ms (1.7%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	a
78.0ms	m
39.0ms	k

Results

Error	Segments	Branch
10.1b	7	`a`
1.1b	2	`k`
2.2b	3	`m`

Compiler

Compiled 233 to 126 computations (45.9% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
7.0ms	1.1970327229540722e-7	9.135239054280667

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes165.0ms (1.3%)

Counts

26 → 4

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 k m) a)
(*.f64 a (pow.f64 k (+.f64 m -2)))
(/.f64 (/.f64 a k) k)
(/.f64 a (*.f64 k k))

Calls

3 calls:

71.0ms	a
50.0ms	k
38.0ms	m

Results

Error	Segments	Branch
11.7b	6	`a`
1.2b	4	`k`
2.2b	3	`m`

Compiler

Compiled 222 to 122 computations (45% saved)

bsearch122.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
68.0ms	3.5993254810987463e+224	6.24784956532333e+229
46.0ms	2.1577956583402564e+183	2.6518054282617124e+184
7.0ms	1.1970327229540722e-7	9.135239054280667

Compiler

Compiled 326 to 223 computations (31.6% saved)

regimes230.0ms (1.8%)

Counts

24 → 3

Calls

Call 1

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

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:

112.0ms	k
68.0ms	a
41.0ms	m

Results

Error	Segments	Branch
13.1b	3	`a`
2.8b	5	`k`
2.3b	3	`m`

Compiler

Compiled 206 to 116 computations (43.7% saved)

bsearch188.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	7.124960406305434e-9	5.71112666234763e-8
114.0ms	-0.005886283888780096	-3.5729301048533164e-9

Compiler

Compiled 354 to 257 computations (27.4% saved)

regimes159.0ms (1.2%)

Counts

22 → 3

Calls

Call 1

Inputs
a
(/.f64 (/.f64 a k) k)
(/.f64 a (*.f64 k k))
(*.f64 (/.f64 a k) (/.f64 1 k))
(.f64 a (/.f64 1 (.f64 k k)))
(/.f64 1 (/.f64 (*.f64 k k) a))
(/.f64 (*.f64 (/.f64 -1 k) a) k)
(*.f64 (/.f64 a k) (/.f64 1 k))
(/.f64 a (+.f64 1 (*.f64 k k)))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(+.f64 a (.f64 -10 (.f64 k a)))
(*.f64 (neg.f64 a) (/.f64 (/.f64 -1 k) k))
(.f64 a (.f64 (/.f64 1 k) (/.f64 1 k)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 k (neg.f64 k))))
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 a (-.f64 (+.f64 1 (.f64 -10 (.f64 k a))) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(.f64 (neg.f64 a) (-.f64 (+.f64 1 (/.f64 1 (.f64 k k))) 1))
(+.f64 (/.f64 a (.f64 k k)) (/.f64 (/.f64 (.f64 a (+.f64 -10 (/.f64 99 k))) (*.f64 k k)) k))
(*.f64 (pow.f64 k -2) a)

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

Calls

3 calls:

75.0ms	m
64.0ms	k
12.0ms	a

Results

Error	Segments	Branch
24.0b	1	`a`
20.0b	4	`k`
17.7b	3	`m`

Compiler

Compiled 195 to 111 computations (43.1% saved)

bsearch147.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	194555.14094481012	7547201227792910.0
75.0ms	-8.022713996753949e+20	-296428777995256.5

Compiler

Compiled 545 to 424 computations (22.2% saved)

regimes167.0ms (1.3%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

89.0ms	k
62.0ms	m
11.0ms	a

Results

Error	Segments	Branch
24.0b	1	`a`
20.0b	4	`k`
18.9b	3	`m`

Compiler

Compiled 159 to 93 computations (41.5% saved)

bsearch196.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	194555.14094481012	7547201227792910.0
79.0ms	-5.50879174435666e+36	-7.208609626357034e+27

Compiler

Compiled 518 to 397 computations (23.4% saved)

regimes130.0ms (1%)

Counts

15 → 3

Calls

Call 1

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

Calls

3 calls:

61.0ms	k
24.0ms	m
10.0ms	a

Results

Error	Segments	Branch
24.9b	1	`a`
20.7b	4	`k`
19.8b	3	`m`

Compiler

Compiled 117 to 64 computations (45.3% saved)

bsearch150.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	194555.14094481012	7547201227792910.0
81.0ms	-5.50879174435666e+36	-7.208609626357034e+27

Compiler

Compiled 480 to 359 computations (25.2% saved)

regimes42.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	k
9.0ms	m
8.0ms	a

Results

Error	Segments	Branch
24.9b	1	`a`
23.7b	3	`k`
24.9b	1	`m`

Compiler

Compiled 108 to 60 computations (44.4% saved)

bsearch168.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
121.0ms	3.5993254810987463e+224	6.24784956532333e+229
46.0ms	2.1577956583402564e+183	2.6518054282617124e+184

Compiler

Compiled 306 to 209 computations (31.7% saved)

regimes110.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	k
35.0ms	a
31.0ms	m

Results

Error	Segments	Branch
36.8b	6	`a`
24.3b	3	`k`
33.5b	6	`m`

Compiler

Compiled 61 to 32 computations (47.5% saved)

bsearch111.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	1.1970327229540722e-7	9.135239054280667
33.0ms	-13588395587702.508	-3.9353690125090834e-10

Compiler

Compiled 304 to 217 computations (28.6% saved)

regimes85.0ms (0.7%)

Accuracy

Total -37.3b remaining (-150.9%)

Threshold costs -37.3b (-150.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	k
20.0ms	a
11.0ms	m

Results

Error	Segments	Branch
37.0b	6	`a`
24.7b	3	`k`
35.5b	4	`m`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch91.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	1.1970327229540722e-7	9.135239054280667
33.0ms	-13588395587702.508	-3.9353690125090834e-10

Compiler

Compiled 304 to 217 computations (28.6% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
15×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	728
1	136	728
2	147	728
3	159	726
4	169	726
5	176	726
6	179	726
7	180	726

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.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))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) 0) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))))
(if (<=.f64 k 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (/.f64 1 (/.f64 k (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 k a)))))
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) 0) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))))
(if (<=.f64 k 100000) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k))) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)))
(if (<=.f64 k 1) (.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k -10))) (/.f64 1 (.f64 (/.f64 k (*.f64 (pow.f64 k m) a)) k)))
(if (<=.f64 k 1) (.f64 (pow.f64 k m) a) (/.f64 1 (.f64 (/.f64 k (*.f64 (pow.f64 k m) a)) k)))
(if (<=.f64 k 1) (.f64 (pow.f64 k m) a) (if (<=.f64 k 2199999999999999906095985648578135797295475241259556052628814796292661031637552538886463070344936090053278097752021080622454846069290052878323968326801869705630834212247301329577312256) (.f64 a (pow.f64 k (+.f64 m -2))) (if (<=.f64 k 359999999999999980818690318444616602470626614080896120451026969025185746112281457024785165381909524017929893739477473042060325534481698165296048807356504918011178562099142092143028579767618140346699034965399362305636572332032) (/.f64 (/.f64 a k) k) (/.f64 a (*.f64 k k)))))
(if (<=.f64 m -106991115627515392/18446744073709551616) (.f64 (pow.f64 k m) a) (if (<=.f64 m 2115620184325601/37778931862957161709568) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -800000000000000000000) (.f64 (neg.f64 a) (-.f64 (+.f64 1 (/.f64 1 (.f64 k k))) 1)) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1)))
(if (<=.f64 m -5500000000000000159526529262260584448) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)))
(if (<=.f64 m -5500000000000000159526529262260584448) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k k))) (-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)))
(if (<=.f64 k 25999999999999999319084651394734940359123182509007127317081586276236042689376336851115491103184341528598596289076018173432236252496592090808667879080930350221254660171183566127890432000) (/.f64 a (+.f64 1 (.f64 k k))) (if (<=.f64 k 359999999999999980818690318444616602470626614080896120451026969025185746112281457024785165381909524017929893739477473042060325534481698165296048807356504918011178562099142092143028579767618140346699034965399362305636572332032) (/.f64 (/.f64 a k) k) (/.f64 a (.f64 k k))))
(if (<=.f64 k -13500000000000) (/.f64 a (*.f64 k k)) (if (<=.f64 k 4533471823554859/37778931862957161709568) a (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -13500000000000) (/.f64 (/.f64 a k) k) (if (<=.f64 k 4533471823554859/37778931862957161709568) a (/.f64 (/.f64 a k) k)))
a

Outputs
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.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))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) 0) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))))
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (/.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))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) 0) (/.f64 1 (.f64 k (/.f64 k (.f64 a (pow.f64 k m))))) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k)))))
(if (<=.f64 k 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (/.f64 1 (/.f64 k (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 k a)))))
(if (<=.f64 k 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (*.f64 k k))) (/.f64 1 (/.f64 k (/.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 -1 k) -1)) m) (/.f64 k a)))))
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) 0) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))))
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) 0) (/.f64 1 (.f64 k (/.f64 k (.f64 a (pow.f64 k m))))) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k)))))
(if (<=.f64 k 100000) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k))) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)))
(if (<=.f64 k 100000) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10))) (/.f64 1 (.f64 k (/.f64 k (.f64 a (pow.f64 k m))))))
(if (<=.f64 k 1) (.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k -10))) (/.f64 1 (.f64 (/.f64 k (*.f64 (pow.f64 k m) a)) k)))
(if (<=.f64 k 1) (.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k -10))) (/.f64 1 (.f64 k (/.f64 k (*.f64 a (pow.f64 k m))))))
(if (<=.f64 k 1) (.f64 (pow.f64 k m) a) (/.f64 1 (.f64 (/.f64 k (*.f64 (pow.f64 k m) a)) k)))
(if (<=.f64 k 1) (.f64 a (pow.f64 k m)) (/.f64 1 (.f64 k (/.f64 k (*.f64 a (pow.f64 k m))))))
(if (<=.f64 k 1) (.f64 (pow.f64 k m) a) (if (<=.f64 k 2199999999999999906095985648578135797295475241259556052628814796292661031637552538886463070344936090053278097752021080622454846069290052878323968326801869705630834212247301329577312256) (.f64 a (pow.f64 k (+.f64 m -2))) (if (<=.f64 k 359999999999999980818690318444616602470626614080896120451026969025185746112281457024785165381909524017929893739477473042060325534481698165296048807356504918011178562099142092143028579767618140346699034965399362305636572332032) (/.f64 (/.f64 a k) k) (/.f64 a (*.f64 k k)))))
(if (<=.f64 k 1) (.f64 a (pow.f64 k m)) (if (<=.f64 k 2199999999999999906095985648578135797295475241259556052628814796292661031637552538886463070344936090053278097752021080622454846069290052878323968326801869705630834212247301329577312256) (.f64 a (pow.f64 k (+.f64 m -2))) (if (<=.f64 k 359999999999999980818690318444616602470626614080896120451026969025185746112281457024785165381909524017929893739477473042060325534481698165296048807356504918011178562099142092143028579767618140346699034965399362305636572332032) (/.f64 (/.f64 a k) k) (/.f64 a (*.f64 k k)))))
(if (<=.f64 m -106991115627515392/18446744073709551616) (.f64 (pow.f64 k m) a) (if (<=.f64 m 2115620184325601/37778931862957161709568) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -208967022709991/36028797018963968) (.f64 a (pow.f64 k m)) (if (<=.f64 m 2115620184325601/37778931862957161709568) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 a (pow.f64 k m))))
(if (<=.f64 m -800000000000000000000) (.f64 (neg.f64 a) (-.f64 (+.f64 1 (/.f64 1 (.f64 k k))) 1)) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1)))
(if (<=.f64 m -800000000000000000000) (.f64 (neg.f64 a) (+.f64 (+.f64 1 (/.f64 1 (.f64 k k))) -1)) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1)))
(if (<=.f64 m -800000000000000000000) (.f64 (neg.f64 a) (+.f64 -1 (+.f64 1 (/.f64 1 (.f64 k k))))) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 -1 (+.f64 1 (/.f64 a (.f64 k k))))))
(if (<=.f64 m -800000000000000000000) (.f64 a (+.f64 1 (neg.f64 (+.f64 1 (/.f64 1 (.f64 k k)))))) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 -1 (+.f64 1 (/.f64 a (.f64 k k))))))
(if (<=.f64 m -800000000000000000000) (.f64 a (-.f64 1 (+.f64 1 (/.f64 1 (.f64 k k))))) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 -1 (+.f64 1 (/.f64 a (.f64 k k))))))
(if (<=.f64 m -800000000000000000000) (.f64 a (+.f64 1 (+.f64 -1 (/.f64 -1 (.f64 k k))))) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 -1 (+.f64 1 (/.f64 a (.f64 k k))))))
(if (<=.f64 m -5500000000000000159526529262260584448) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)))
(if (<=.f64 m -5500000000000000159526529262260584448) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (+.f64 1 (/.f64 a (*.f64 k k))) -1)))
(if (<=.f64 m -5500000000000000159526529262260584448) (+.f64 -1 (+.f64 1 (/.f64 a (.f64 k k)))) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 -1 (+.f64 1 (/.f64 a (*.f64 k k))))))
(if (<=.f64 m -5500000000000000159526529262260584448) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k k))) (-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)))
(if (<=.f64 m -5500000000000000159526529262260584448) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k k))) (+.f64 (+.f64 1 (/.f64 a (*.f64 k k))) -1)))
(if (<=.f64 m -5500000000000000159526529262260584448) (+.f64 -1 (+.f64 1 (/.f64 a (.f64 k k)))) (if (<=.f64 m 195000) (/.f64 a (+.f64 1 (.f64 k k))) (+.f64 -1 (+.f64 1 (/.f64 a (*.f64 k k))))))
(if (<=.f64 k 25999999999999999319084651394734940359123182509007127317081586276236042689376336851115491103184341528598596289076018173432236252496592090808667879080930350221254660171183566127890432000) (/.f64 a (+.f64 1 (.f64 k k))) (if (<=.f64 k 359999999999999980818690318444616602470626614080896120451026969025185746112281457024785165381909524017929893739477473042060325534481698165296048807356504918011178562099142092143028579767618140346699034965399362305636572332032) (/.f64 (/.f64 a k) k) (/.f64 a (.f64 k k))))
(if (<=.f64 k -13500000000000) (/.f64 a (*.f64 k k)) (if (<=.f64 k 4533471823554859/37778931862957161709568) a (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -13500000000000) (/.f64 (/.f64 a k) k) (if (<=.f64 k 4533471823554859/37778931862957161709568) a (/.f64 (/.f64 a k) k)))
a

Compiler

Compiled 542 to 315 computations (41.9% saved)

soundness583.0ms (4.6%)

Algorithm

3×	egg-herbie

Rules

869×	`fma-def_binary64`
601×	`associate-l_binary64`
601×	`associate-l_binary64`
535×	`*-commutative_binary64`
535×	`*-commutative_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	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	165	2457
1	545	2212
2	2048	1866

Stop Event

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

Compiler

Compiled 439 to 303 computations (31% saved)

end410.0ms (3.2%)

Compiler: Compiled 500 to 232 computations (53.6% saved)