Details

analyze710.0ms (5.9%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample3.1s (25.8%)

Results

1.9s	8256×	body	256	valid
594.0ms	2719×	body	256	infinite
571.0ms	3525×	body	256	invalid

Bogosity

preprocess94.0ms (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)

simplify100.0ms (0.8%)

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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
▶	2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	1.9b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series62.0ms (0.5%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
40.0ms	a	@	0	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
3.0ms	m	@	0	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
2.0ms	k	@	-inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	m	@	inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	m	@	-inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

rewrite77.0ms (0.6%)

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))))))

simplify84.0ms (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)))))
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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))
(+.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))))
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(/.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))
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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 (.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))))
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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))
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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 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))
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(.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))))
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(-.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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(+.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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(-.f64 (+.f64 (.f64 (+.f64 (.f64 k -10) 1) (pow.f64 k m)) (.f64 (.f64 (pow.f64 k m) -99) (neg.f64 (.f64 k k)))) (.f64 (.f64 (pow.f64 k 3) -10) (.f64 -98 (pow.f64 k m))))
(-.f64 (.f64 (pow.f64 k m) (+.f64 (fma.f64 k -10 1) (.f64 -99 (.f64 k (neg.f64 k))))) (.f64 (pow.f64 k 3) (*.f64 (pow.f64 k m) 980)))
(/.f64 (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 k k))
(/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) (.f64 k k))
(/.f64 (pow.f64 k m) (*.f64 k k))
(+.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 -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)))
(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))

localize24.0ms (0.2%)

Local error

Found 4 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))
✓	0.0b	(+.f64 1 (*.f64 10 k))
✓	2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 51 to 25 computations (51% saved)

series53.0ms (0.4%)

Counts

4 → 87

Calls

24 calls:

Time	Variable		Point	Expression
21.0ms	k	@	-inf	(*.f64 a (pow.f64 k m))
13.0ms	k	@	0	(*.f64 a (pow.f64 k m))
8.0ms	k	@	inf	(*.f64 a (pow.f64 k m))
1.0ms	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)))

rewrite95.0ms (0.8%)

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	49
1	285	39
2	4008	37

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

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

simplify86.0ms (0.7%)

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	1813
1	378	1628
2	1394	1316
3	7250	1280

Stop Event

1×	node limit

Counts

269 → 232

Calls

Call 1

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

eval168.0ms (1.4%)

Compiler: Compiled 8823 to 5073 computations (42.5% saved)

prune65.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	363	10	373
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	365	10	375

Error

1.9b

Counts

375 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	22.1b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
▶	22.1b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
▶	17.1b	(/.f64 (cbrt.f64 (pow.f64 (.f64 a (pow.f64 k m)) 3)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
▶	13.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
	16.2b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m)) 3))
▶	2.0b	(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))
	2.2b	(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
	2.4b	(/.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 3) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
▶	18.1b	(*.f64 (pow.f64 k m) a)
	24.1b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))

Compiler

Compiled 310 to 220 computations (29% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)
✓	1.9b	(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))
✓	8.3b	(sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 70 to 41 computations (41.4% saved)

series48.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
27.0ms	k	@	inf	(sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	m	@	inf	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)
2.0ms	m	@	0	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)
2.0ms	k	@	-inf	(sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	k	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2)

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

189 → 206

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 k (+.f64 k 10))
✓	4.7b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

124 → 122

Calls

Call 1

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

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

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)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (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 3 expressions with local error:

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

series7.0ms (0.1%)

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)))

rewrite60.0ms (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))))))

simplify55.0ms (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))
(/.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 (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))))
(+.f64 (.f64 (+.f64 (.f64 -1000 (pow.f64 k 3)) 1) (.f64 (pow.f64 k m) a)) (.f64 (.f64 (pow.f64 k m) a) (+.f64 (.f64 k -10) (.f64 100 (.f64 k k)))))
(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))
(+.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))))
(fma.f64 1/10 (/.f64 a (/.f64 k (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))) (.f64 -1/100 (/.f64 a (/.f64 (.f64 k k) (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))))))
(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)))
(+.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)))))
(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))))))) (.f64 1/1000 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (*.f64 m (neg.f64 (log.f64 k))))))))))
(fma.f64 1/10 (.f64 (/.f64 a k) (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (fma.f64 -1/100 (.f64 (/.f64 a k) (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) k)) (.f64 1/1000 (.f64 (/.f64 a (pow.f64 k 3)) (exp.f64 (*.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))))))
(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))))
(+.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))))))
(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)))))))))))
(fma.f64 1/10 (.f64 (/.f64 a k) (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (fma.f64 -1/100 (.f64 (/.f64 a k) (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) k)) (fma.f64 1/1000 (.f64 (/.f64 a (pow.f64 k 3)) (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (.f64 -1/10000 (.f64 (/.f64 a (pow.f64 k 4)) (exp.f64 (*.f64 (neg.f64 (log.f64 k)) (neg.f64 m))))))))
(+.f64 (.f64 (.f64 (pow.f64 k m) (/.f64 a k)) (+.f64 1/10 (/.f64 -1/100 k))) (.f64 (.f64 (pow.f64 k m) (/.f64 a (.f64 k k))) (+.f64 (/.f64 1/1000 k) (/.f64 -1/10000 (.f64 k k)))))
(+.f64 (.f64 (.f64 (pow.f64 k m) (/.f64 a k)) (+.f64 1/10 (/.f64 -1/100 k))) (.f64 (.f64 (pow.f64 k m) (/.f64 a (pow.f64 k 3))) (+.f64 1/1000 (/.f64 -1/10000 k))))
(.f64 1/10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (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))
(+.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)))
(fma.f64 1/10 (/.f64 a (/.f64 k (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))))) (.f64 -1/100 (/.f64 a (/.f64 (.f64 k k) (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k)))))))))
(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)))
(+.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)))))
(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))))))) (.f64 1/1000 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (*.f64 m (neg.f64 (log.f64 k))))))))))
(fma.f64 1/10 (.f64 (/.f64 a k) (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (fma.f64 -1/100 (.f64 (/.f64 a k) (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) k)) (.f64 1/1000 (.f64 (/.f64 a (pow.f64 k 3)) (exp.f64 (*.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))))))
(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))))
(+.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))))))
(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)))))))))))
(fma.f64 1/10 (.f64 (/.f64 a k) (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (fma.f64 -1/100 (.f64 (/.f64 a k) (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) k)) (fma.f64 1/1000 (.f64 (/.f64 a (pow.f64 k 3)) (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (.f64 -1/10000 (.f64 (/.f64 a (pow.f64 k 4)) (exp.f64 (*.f64 (neg.f64 (log.f64 k)) (neg.f64 m))))))))
(+.f64 (.f64 (.f64 (pow.f64 k m) (/.f64 a k)) (+.f64 1/10 (/.f64 -1/100 k))) (.f64 (.f64 (pow.f64 k m) (/.f64 a (.f64 k k))) (+.f64 (/.f64 1/1000 k) (/.f64 -1/10000 (.f64 k k)))))
(+.f64 (.f64 (.f64 (pow.f64 k m) (/.f64 a k)) (+.f64 1/10 (/.f64 -1/100 k))) (.f64 (.f64 (pow.f64 k m) (/.f64 a (pow.f64 k 3))) (+.f64 1/1000 (/.f64 -1/10000 k))))
(/.f64 a (+.f64 1 (*.f64 10 k)))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (fma.f64 k 10 1))
(+.f64 (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 10 k))) (/.f64 a (+.f64 1 (.f64 10 k))))
(+.f64 (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 a (/.f64 (+.f64 1 (.f64 k 10)) (*.f64 (log.f64 k) m))))
(+.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (log.f64 k) m)))
(fma.f64 (/.f64 a (fma.f64 k 10 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k 10 1)))
(.f64 (+.f64 (.f64 (log.f64 k) m) 1) (/.f64 a (fma.f64 k 10 1)))
(+.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 a (/.f64 (+.f64 1 (.f64 k 10)) (.f64 (log.f64 k) m))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (.f64 k 10)) (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m)))) (/.f64 a (+.f64 1 (.f64 k 10)))))
(+.f64 (.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (log.f64 k) m)) (fma.f64 1/2 (.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (pow.f64 (log.f64 k) 2) (*.f64 m m))) (/.f64 a (fma.f64 k 10 1))))
(fma.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (log.f64 k) m) (fma.f64 1/2 (/.f64 a (/.f64 (/.f64 (fma.f64 k 10 1) (.f64 m m)) (pow.f64 (log.f64 k) 2))) (/.f64 a (fma.f64 k 10 1))))
(+.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (/.f64 a (fma.f64 k 10 1)) (+.f64 (.f64 (log.f64 k) m) (.f64 1/2 (.f64 (pow.f64 (log.f64 k) 2) (*.f64 m m))))))
(+.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 a (/.f64 (+.f64 1 (.f64 k 10)) (.f64 (log.f64 k) m))) (fma.f64 1/6 (/.f64 a (/.f64 (+.f64 1 (.f64 k 10)) (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (.f64 k 10)) (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m)))) (/.f64 a (+.f64 1 (.f64 k 10))))))
(+.f64 (.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (log.f64 k) m)) (fma.f64 1/6 (.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (fma.f64 1/2 (.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (pow.f64 (log.f64 k) 2) (*.f64 m m))) (/.f64 a (fma.f64 k 10 1)))))
(fma.f64 (/.f64 a (fma.f64 k 10 1)) (.f64 (log.f64 k) m) (fma.f64 1/2 (/.f64 a (/.f64 (/.f64 (fma.f64 k 10 1) (.f64 m m)) (pow.f64 (log.f64 k) 2))) (fma.f64 1/6 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (fma.f64 k 10 1)) a) (/.f64 a (fma.f64 k 10 1)))))
(+.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)))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (*.f64 10 k))
✓	0.0b	(pow.f64 (*.f64 a (pow.f64 k m)) 3)
✓	2.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 a (pow.f64 k m)) 3)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
✓	20.2b	(cbrt.f64 (pow.f64 (*.f64 a (pow.f64 k m)) 3))

Compiler

Compiled 70 to 34 computations (51.4% saved)

series18.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (*.f64 a (pow.f64 k m)) 3))
2.0ms	k	@	inf	(pow.f64 (*.f64 a (pow.f64 k m)) 3)
1.0ms	m	@	0	(pow.f64 (*.f64 a (pow.f64 k m)) 3)
1.0ms	k	@	-inf	(pow.f64 (*.f64 a (pow.f64 k m)) 3)
1.0ms	m	@	-inf	(pow.f64 (*.f64 a (pow.f64 k m)) 3)

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`prod-diff_binary64`
540×	`fma-def_binary64`
274×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	353	35
2	4462	34

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

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

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

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
493×	`*-commutative_binary64`
349×	`associate-/l*_binary64`
310×	`times-frac_binary64`
293×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2470
1	517	2281
2	2023	2034
3	6767	1978

Stop Event

1×	node limit

Counts

210 → 161

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

Outputs
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (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 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (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 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (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 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (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 -1 (.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 a (cbrt.f64 -1))))
(neg.f64 (.f64 (pow.f64 k m) (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (neg.f64 (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (.f64 a (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 a (cbrt.f64 -1))))
(neg.f64 (.f64 (pow.f64 k m) (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (neg.f64 (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (.f64 a (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 a (cbrt.f64 -1))))
(neg.f64 (.f64 (pow.f64 k m) (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (neg.f64 (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (.f64 a (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 a (cbrt.f64 -1))))
(neg.f64 (.f64 (pow.f64 k m) (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (neg.f64 (.f64 a (cbrt.f64 -1))))
(.f64 (pow.f64 k m) (.f64 a (neg.f64 (cbrt.f64 -1))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (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 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (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 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (pow.f64 k m))
(.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (pow.f64 k m))
(.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (pow.f64 k m))
(.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) a)
(*.f64 (pow.f64 k m) a)
(*.f64 a (pow.f64 k m))
(.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)))
(*.f64 a (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))
(*.f64 a (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))
(.f64 a (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))
(*.f64 a (pow.f64 (/.f64 -1 (/.f64 -1 k)) m))
(.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)))
(*.f64 a (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))
(*.f64 a (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))
(.f64 a (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))
(*.f64 a (pow.f64 (/.f64 -1 (/.f64 -1 k)) m))
(.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)))
(*.f64 a (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))
(*.f64 a (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))
(.f64 a (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))
(*.f64 a (pow.f64 (/.f64 -1 (/.f64 -1 k)) m))
(.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)))
(*.f64 a (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))) m))
(*.f64 a (pow.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) m))
(.f64 a (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))
(*.f64 a (pow.f64 (/.f64 -1 (/.f64 -1 k)) m))
a
(+.f64 a (.f64 a (.f64 (log.f64 k) m)))
(+.f64 a (.f64 (.f64 a (log.f64 k)) m))
(fma.f64 (*.f64 (log.f64 k) 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 a (log.f64 k)) m)))
(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 1/2 (.f64 m (.f64 m (.f64 a (pow.f64 (log.f64 k) 2)))) (fma.f64 (.f64 (log.f64 k) m) a 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)))))
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(+.f64 (pow.f64 a 3) (fma.f64 (fma.f64 1/6 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 a 3)) (fma.f64 (.f64 4/3 (.f64 (pow.f64 (log.f64 k) 3) (.f64 a a))) a (.f64 3 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 a 3))))) (pow.f64 m 3) (fma.f64 (.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 a 3)) 9/2) (.f64 m m) (.f64 m (.f64 3 (.f64 (log.f64 k) (pow.f64 a 3)))))))
(+.f64 (pow.f64 a 3) (fma.f64 (pow.f64 m 3) (fma.f64 1/6 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 a 3)) (fma.f64 3 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 a 3)) (.f64 4/3 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 a 3))))) (fma.f64 m (.f64 3 (.f64 (log.f64 k) (pow.f64 a 3))) (.f64 (.f64 m m) (.f64 (pow.f64 (log.f64 k) 2) (.f64 (pow.f64 a 3) 9/2))))))
(+.f64 (pow.f64 a 3) (fma.f64 (pow.f64 m 3) (fma.f64 1/6 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 a 3)) 13/3)) (.f64 m (+.f64 (.f64 (log.f64 k) (.f64 3 (pow.f64 a 3))) (.f64 m (.f64 (pow.f64 (log.f64 k) 2) (*.f64 (pow.f64 a 3) 9/2)))))))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))
(.f64 (pow.f64 (exp.f64 (.f64 (log.f64 k) m)) 3) (pow.f64 a 3))
(*.f64 (pow.f64 (pow.f64 k m) 3) (pow.f64 a 3))

eval366.0ms (3%)

Compiler: Compiled 19324 to 12025 computations (37.8% saved)

prune135.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	777	9	786
Fresh	4	1	5
Picked	1	0	1
Done	2	2	4
Total	784	12	796

Error

0.0b

Counts

796 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.1b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
✓	22.1b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	22.6b	(/.f64 a (+.f64 1 (*.f64 k k)))
▶	39.4b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	48.4b	(+.f64 a (.f64 -10 (.f64 k a)))
▶	22.1b	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
	47.8b	a
▶	22.2b	(.f64 a (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))) 2))
	38.6b	(/.f64 a (+.f64 1 (/.f64 (.f64 (+.f64 1000 (pow.f64 k 3)) k) (-.f64 (fma.f64 k k 100) (.f64 k 10)))))
✓	18.1b	(*.f64 (pow.f64 k m) a)
	37.1b	(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
▶	37.9b	(/.f64 (/.f64 a k) k)

Compiler

Compiled 260 to 189 computations (27.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 k (/.f64 a k))
✓	7.4b	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	k	@	0	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
1.0ms	a	@	inf	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
1.0ms	m	@	0	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
1.0ms	k	@	inf	(/.f64 k (/.f64 a k))
1.0ms	m	@	inf	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
439×	`exp-prod_binary64`
299×	`pow-prod-down_binary64`
279×	`pow-unpow_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	182	20
2	2760	20

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (1%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-*l/_binary64`
546×	`associate-/r/_binary64`
477×	`associate-*r/_binary64`
477×	`fma-def_binary64`
467×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	735
1	138	735
2	419	729
3	2312	711
4	7569	711

Stop Event

1×	node limit

Counts

175 → 128

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

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

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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.5%)

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))))))))

simplify163.0ms (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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

101 → 85

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 k (+.f64 k 10))
✓	0.1b	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	4.7b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	k	@	0	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
0.0ms	k	@	-inf	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
0.0ms	k	@	inf	(/.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	a	@	0	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite68.0ms (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))))))

simplify53.0ms (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)))))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))) 2)
✓	4.7b	(.f64 a (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))) 2))
✓	15.0b	(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))

Compiler

Compiled 68 to 52 computations (23.5% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	k	@	inf	(.f64 a (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))) 2))
0.0ms	k	@	0	(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0ms	k	@	inf	(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0ms	k	@	-inf	(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0ms	k	@	-inf	(.f64 a (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))) 2))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`log-prod_binary64`
497×	`prod-diff_binary64`
378×	`fma-def_binary64`
308×	`pow2_binary64`
215×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	288	33
2	3361	33

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg_binary64`
591×	`times-frac_binary64`
538×	`fma-def_binary64`
308×	`distribute-rgt-out_binary64`
300×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	843
1	313	777
2	1085	751
3	4033	732

Stop Event

1×	node limit

Counts

135 → 140

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -5 k))
(+.f64 (.f64 37 (pow.f64 k 2)) (+.f64 1 (.f64 -5 k)))
(+.f64 (.f64 37 (pow.f64 k 2)) (+.f64 1 (+.f64 (.f64 -305 (pow.f64 k 3)) (*.f64 -5 k))))
(/.f64 1 k)
(-.f64 (/.f64 1 k) (*.f64 5 (/.f64 1 (pow.f64 k 2))))
(-.f64 (+.f64 (/.f64 1 k) (.f64 37 (/.f64 1 (pow.f64 k 3)))) (.f64 5 (/.f64 1 (pow.f64 k 2))))
(-.f64 (+.f64 (/.f64 1 k) (.f64 37 (/.f64 1 (pow.f64 k 3)))) (+.f64 (.f64 5 (/.f64 1 (pow.f64 k 2))) (*.f64 305 (/.f64 1 (pow.f64 k 4)))))
(/.f64 -1 k)
(-.f64 (*.f64 5 (/.f64 1 (pow.f64 k 2))) (/.f64 1 k))
(-.f64 (.f64 5 (/.f64 1 (pow.f64 k 2))) (+.f64 (/.f64 1 k) (.f64 37 (/.f64 1 (pow.f64 k 3)))))
(-.f64 (+.f64 (.f64 5 (/.f64 1 (pow.f64 k 2))) (.f64 305 (/.f64 1 (pow.f64 k 4)))) (+.f64 (/.f64 1 k) (*.f64 37 (/.f64 1 (pow.f64 k 3)))))
(/.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
1
(+.f64 1 (*.f64 -5 k))
(fma.f64 -5 k 1)
(+.f64 (.f64 37 (pow.f64 k 2)) (+.f64 1 (.f64 -5 k)))
(fma.f64 37 (.f64 k k) (+.f64 1 (.f64 -5 k)))
(fma.f64 37 (*.f64 k k) (fma.f64 -5 k 1))
(fma.f64 -5 k (fma.f64 k (*.f64 k 37) 1))
(+.f64 (.f64 37 (pow.f64 k 2)) (+.f64 1 (+.f64 (.f64 -305 (pow.f64 k 3)) (*.f64 -5 k))))
(fma.f64 37 (.f64 k k) (+.f64 1 (fma.f64 -305 (pow.f64 k 3) (.f64 -5 k))))
(+.f64 (fma.f64 37 (.f64 k k) (fma.f64 -5 k 1)) (.f64 -305 (pow.f64 k 3)))
(fma.f64 k (*.f64 k 37) (fma.f64 -5 k (fma.f64 -305 (pow.f64 k 3) 1)))
(/.f64 1 k)
(-.f64 (/.f64 1 k) (*.f64 5 (/.f64 1 (pow.f64 k 2))))
(-.f64 (/.f64 1 k) (/.f64 5 (*.f64 k k)))
(+.f64 (/.f64 1 k) (/.f64 -5 (*.f64 k k)))
(-.f64 (+.f64 (/.f64 1 k) (.f64 37 (/.f64 1 (pow.f64 k 3)))) (.f64 5 (/.f64 1 (pow.f64 k 2))))
(+.f64 (/.f64 1 k) (-.f64 (/.f64 37 (pow.f64 k 3)) (/.f64 5 (*.f64 k k))))
(+.f64 (/.f64 1 k) (+.f64 (/.f64 37 (pow.f64 k 3)) (/.f64 -5 (*.f64 k k))))
(-.f64 (+.f64 (/.f64 1 k) (.f64 37 (/.f64 1 (pow.f64 k 3)))) (+.f64 (.f64 5 (/.f64 1 (pow.f64 k 2))) (*.f64 305 (/.f64 1 (pow.f64 k 4)))))
(+.f64 (/.f64 1 k) (-.f64 (/.f64 37 (pow.f64 k 3)) (+.f64 (/.f64 5 (*.f64 k k)) (/.f64 305 (pow.f64 k 4)))))
(-.f64 (+.f64 (/.f64 1 k) (/.f64 37 (pow.f64 k 3))) (+.f64 (/.f64 5 (*.f64 k k)) (/.f64 305 (pow.f64 k 4))))
(+.f64 (/.f64 1 k) (+.f64 (/.f64 37 (pow.f64 k 3)) (-.f64 (/.f64 -305 (pow.f64 k 4)) (/.f64 5 (*.f64 k k)))))
(/.f64 -1 k)
(-.f64 (*.f64 5 (/.f64 1 (pow.f64 k 2))) (/.f64 1 k))
(-.f64 (/.f64 5 (*.f64 k k)) (/.f64 1 k))
(+.f64 (/.f64 5 (*.f64 k k)) (/.f64 -1 k))
(-.f64 (.f64 5 (/.f64 1 (pow.f64 k 2))) (+.f64 (/.f64 1 k) (.f64 37 (/.f64 1 (pow.f64 k 3)))))
(-.f64 (/.f64 5 (*.f64 k k)) (+.f64 (/.f64 1 k) (/.f64 37 (pow.f64 k 3))))
(+.f64 (/.f64 5 (*.f64 k k)) (-.f64 (/.f64 -1 k) (/.f64 37 (pow.f64 k 3))))
(+.f64 (/.f64 5 (*.f64 k k)) (+.f64 (/.f64 -1 k) (/.f64 -37 (pow.f64 k 3))))
(-.f64 (+.f64 (.f64 5 (/.f64 1 (pow.f64 k 2))) (.f64 305 (/.f64 1 (pow.f64 k 4)))) (+.f64 (/.f64 1 k) (*.f64 37 (/.f64 1 (pow.f64 k 3)))))
(-.f64 (+.f64 (/.f64 5 (*.f64 k k)) (/.f64 305 (pow.f64 k 4))) (+.f64 (/.f64 1 k) (/.f64 37 (pow.f64 k 3))))
(+.f64 (/.f64 5 (*.f64 k k)) (-.f64 (/.f64 305 (pow.f64 k 4)) (+.f64 (/.f64 1 k) (/.f64 37 (pow.f64 k 3)))))
(+.f64 (/.f64 305 (pow.f64 k 4)) (+.f64 (/.f64 5 (*.f64 k k)) (+.f64 (/.f64 -1 k) (/.f64 -37 (pow.f64 k 3)))))
(+.f64 (/.f64 5 (*.f64 k k)) (+.f64 (/.f64 305 (pow.f64 k 4)) (+.f64 (/.f64 -1 k) (/.f64 -37 (pow.f64 k 3)))))
(/.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 (fma.f64 k -10 1) a)
(fma.f64 k (*.f64 a -10) a)
(+.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 k a))))
(+.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 k a)))))
(+.f64 (.f64 (.f64 k k) (.f64 99 a)) (+.f64 (.f64 (fma.f64 k -10 1) 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 (fma.f64 k (.f64 k 99) 1)) (.f64 (pow.f64 k 3) (*.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 -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 99 (/.f64 (pow.f64 k 4) a)))
(+.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 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 99 (/.f64 (pow.f64 k 4) a)) (/.f64 (*.f64 -980 a) (pow.f64 k 5))))
(+.f64 (+.f64 (/.f64 a (.f64 k k)) (/.f64 (.f64 a -980) (pow.f64 k 5))) (*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(+.f64 (/.f64 a (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 -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 99 (/.f64 (pow.f64 k 4) a)))
(+.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)) (fma.f64 10 (/.f64 (.f64 -99 a) (pow.f64 k 5)) (fma.f64 10 (/.f64 a (pow.f64 k 5)) (+.f64 (/.f64 a (.f64 k k)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))))
(+.f64 (/.f64 (.f64 99 a) (pow.f64 k 4)) (+.f64 (/.f64 (.f64 -990 a) (pow.f64 k 5)) (fma.f64 10 (/.f64 a (pow.f64 k 5)) (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k))))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k))) (+.f64 (/.f64 99 (/.f64 (pow.f64 k 4) a)) (fma.f64 10 (/.f64 a (pow.f64 k 5)) (/.f64 (*.f64 a -990) (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 10 (pow.f64 k 5)) (.f64 a -98)))
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 99 (pow.f64 k 4))) (/.f64 -10 (pow.f64 k 3)))
(+.f64 (/.f64 1 (*.f64 k k)) (+.f64 (/.f64 99 (pow.f64 k 4)) (/.f64 -10 (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 (/.f64 99 (pow.f64 k 4)) (-.f64 (/.f64 1 (*.f64 k k)) (+.f64 (/.f64 10 (pow.f64 k 3)) (/.f64 980 (pow.f64 k 5)))))
(+.f64 (/.f64 99 (pow.f64 k 4)) (+.f64 (/.f64 1 (*.f64 k k)) (+.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 99 (pow.f64 k 4))) (/.f64 -10 (pow.f64 k 3)))
(+.f64 (/.f64 1 (*.f64 k k)) (+.f64 (/.f64 99 (pow.f64 k 4)) (/.f64 -10 (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 (/.f64 99 (pow.f64 k 4)) (-.f64 (/.f64 1 (*.f64 k k)) (+.f64 (/.f64 10 (pow.f64 k 3)) (/.f64 980 (pow.f64 k 5)))))
(+.f64 (/.f64 99 (pow.f64 k 4)) (+.f64 (/.f64 1 (*.f64 k k)) (+.f64 (/.f64 -10 (pow.f64 k 3)) (/.f64 -980 (pow.f64 k 5)))))

eval190.0ms (1.6%)

Compiler: Compiled 8782 to 5506 computations (37.3% saved)

prune728.0ms (6%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	586	9	595
Fresh	3	2	5
Picked	1	0	1
Done	1	5	6
Total	591	16	607

Error

Counts

607 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.1b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	37.9b	(*.f64 (/.f64 a k) (/.f64 1 k))
▶	22.6b	(/.f64 a (+.f64 1 (*.f64 k k)))
▶	37.0b	(.f64 a (/.f64 1 (.f64 k k)))
✓	22.1b	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
	48.4b	(.f64 a (+.f64 1 (.f64 -10 k)))
✓	39.4b	(/.f64 a (+.f64 1 (*.f64 k 10)))
▶	48.4b	(+.f64 a (.f64 -10 (.f64 k a)))
	37.2b	(*.f64 (/.f64 a 1) (/.f64 (/.f64 1 k) k))
▶	37.0b	(/.f64 a (*.f64 k k))
	38.1b	(*.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (/.f64 a k) k))
✓	37.9b	(/.f64 (/.f64 a k) k)
▶	36.1b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
	38.2b	(pow.f64 (*.f64 k (/.f64 k a)) -1)
	47.8b	a
✓	18.1b	(*.f64 (pow.f64 k m) a)

Compiler

Compiled 266 to 189 computations (28.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 a (+.f64 1 (*.f64 k k)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 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)))
1.0ms	k	@	inf	(/.f64 a (+.f64 1 (*.f64 k k)))
0.0ms	k	@	0	(/.f64 a (+.f64 1 (*.f64 k k)))

rewrite63.0ms (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	10
1	147	8
2	1964	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 50

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.6b	(/.f64 a (*.f64 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 a (*.f64 k k))
0.0ms	a	@	inf	(/.f64 a (*.f64 k k))
0.0ms	k	@	inf	(/.f64 a (*.f64 k k))
0.0ms	a	@	-inf	(/.f64 a (*.f64 k k))
0.0ms	k	@	-inf	(/.f64 a (*.f64 k k))

rewrite85.0ms (0.7%)

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))))))))

simplify163.0ms (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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 k k))
✓	8.7b	(.f64 a (/.f64 1 (.f64 k k)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
572×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	11
2	1721	11

Stop Event

1×	node limit

Counts

2 → 43

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

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

simplify208.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	14	252
2	23	252
3	42	252
4	96	252
5	299	252
6	1095	252
7	1945	252
8	2109	252
9	2293	252
10	2501	252
11	2798	252
12	3674	252
13	4157	252
14	4725	252
15	5411	252
16	6246	252
17	6636	252
18	6928	252
19	7206	252
20	7278	252
21	7312	252

Stop Event

1×	node limit

Counts

79 → 46

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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	0.2b	(.f64 -10 (.f64 k a))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series6.0ms (0%)

Counts

2 → 15

Calls

12 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`pow1_binary64`
765×	`add-log-exp_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	15
2	2068	15

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

137×	`fma-def_binary64`
126×	`fma-neg_binary64`
87×	`associate-l_binary64`
61×	`associate-r_binary64`
33×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	198	111
4	373	111
5	626	111
6	771	111
7	846	111
8	860	111
9	865	111

Stop Event

1×

saturated

Counts

65 → 55

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
	8.6b	(/.f64 a (*.f64 k k))

Compiler

Compiled 30 to 12 computations (60% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite115.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	182	7
2	2681	7

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify195.0ms (1.6%)

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

92 → 69

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))

eval78.0ms (0.6%)

Compiler: Compiled 3157 to 1759 computations (44.3% saved)

prune112.0ms (0.9%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	282	4	286
Fresh	2	4	6
Picked	0	1	1
Done	1	8	9
Total	285	17	302

Error

Counts

302 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.1b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	37.9b	(*.f64 (/.f64 a k) (/.f64 1 k))
✓	22.6b	(/.f64 a (+.f64 1 (*.f64 k k)))
✓	39.4b	(/.f64 a (+.f64 1 (*.f64 k 10)))
✓	48.4b	(+.f64 a (.f64 -10 (.f64 k a)))
	57.9b	(.f64 a (.f64 -10 k))
	37.2b	(*.f64 a (/.f64 (/.f64 1 k) k))
	57.9b	(.f64 -10 (.f64 k a))
✓	18.1b	(*.f64 (pow.f64 k m) a)
	38.1b	(*.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (/.f64 a k) k))
✓	37.9b	(/.f64 (/.f64 a k) k)
	37.9b	(/.f64 (*.f64 (/.f64 1 k) a) k)
✓	22.1b	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
✓	36.1b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
✓	37.0b	(/.f64 a (*.f64 k k))
	38.2b	(pow.f64 (*.f64 k (/.f64 k a)) -1)
	47.8b	a

Compiler

Compiled 164 to 115 computations (29.9% saved)

regimes143.0ms (1.2%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	k
22.0ms	m
18.0ms	a
15.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Results

Error	Segments	Branch
2.0b	1	`a`
0.3b	2	`k`
2.0b	1	`m`
2.0b	1	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 353 to 193 computations (45.3% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	2.655256866126321e+62	9.499956377296779e+62

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes260.0ms (2.2%)

Counts

25 → 2

Calls

Call 1

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

Calls

3 calls:

130.0ms	a
84.0ms	m
39.0ms	k

Results

Error	Segments	Branch
9.7b	7	`a`
0.9b	2	`k`
1.9b	3	`m`

Compiler

Compiled 194 to 101 computations (47.9% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	3.6300975863906867e-7	4.048679987065636e-6

Compiler

Compiled 52 to 36 computations (30.8% saved)

regimes201.0ms (1.7%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

3 calls:

114.0ms	a
48.0ms	m
34.0ms	k

Results

Error	Segments	Branch
12.7b	7	`a`
1.0b	2	`k`
1.9b	3	`m`

Compiler

Compiled 183 to 96 computations (47.5% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	3.6300975863906867e-7	4.048679987065636e-6

Compiler

Compiled 46 to 31 computations (32.6% saved)

regimes114.0ms (0.9%)

Counts

22 → 3

Calls

Call 1

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

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:

52.0ms	a
34.0ms	m
22.0ms	k

Results

Error	Segments	Branch
13.8b	5	`a`
4.5b	2	`k`
2.2b	3	`m`

Compiler

Compiled 165 to 92 computations (44.2% saved)

bsearch110.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	0.10300266288388049	2.712554655652386e+25
64.0ms	-51863527.02656824	-0.0005213979856083743

Compiler

Compiled 486 to 353 computations (27.4% saved)

regimes96.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

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

Calls

3 calls:

49.0ms	k
29.0ms	m
13.0ms	a

Results

Error	Segments	Branch
22.1b	1	`a`
16.8b	5	`k`
14.7b	3	`m`

Compiler

Compiled 153 to 86 computations (43.8% saved)

bsearch128.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	0.10300266288388049	2.712554655652386e+25
61.0ms	-8.916835850957743e+54	-2.491832538212939e+34

Compiler

Compiled 552 to 424 computations (23.2% saved)

regimes131.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

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

Calls

3 calls:

63.0ms	k
39.0ms	m
25.0ms	a

Results

Error	Segments	Branch
21.6b	3	`a`
16.2b	7	`k`
15.2b	3	`m`

Compiler

Compiled 111 to 62 computations (44.1% saved)

bsearch132.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
75.0ms	0.10300266288388049	2.712554655652386e+25
56.0ms	-8.916835850957743e+54	-2.491832538212939e+34

Compiler

Compiled 508 to 380 computations (25.2% saved)

regimes81.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	k
21.0ms	a
16.0ms	m

Results

Error	Segments	Branch
21.6b	3	`a`
19.0b	5	`k`
18.3b	2	`m`

Compiler

Compiled 102 to 58 computations (43.1% saved)

bsearch76.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
76.0ms	0.10300266288388049	2.712554655652386e+25

Compiler

Compiled 244 to 182 computations (25.4% saved)

regimes112.0ms (0.9%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	m
39.0ms	a
26.0ms	k

Results

Error	Segments	Branch
34.5b	5	`a`
19.9b	4	`k`
27.4b	6	`m`

Compiler

Compiled 72 to 41 computations (43.1% saved)

bsearch118.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
86.0ms	4.048679987065636e-6	700.2079855982062
11.0ms	-2.1342916722267894e-308	4.034907125321195e-309
20.0ms	-108235454.36666739	-0.005062913074351517

Compiler

Compiled 502 to 380 computations (24.3% saved)

regimes135.0ms (1.1%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	m
33.0ms	k
29.0ms	a

Results

Error	Segments	Branch
34.5b	5	`a`
20.0b	4	`k`
27.4b	6	`m`

Compiler

Compiled 65 to 36 computations (44.6% saved)

bsearch187.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
101.0ms	4.048679987065636e-6	700.2079855982062
10.0ms	-2.1342916722267894e-308	4.034907125321195e-309
75.0ms	-108235454.36666739	-0.005062913074351517

Compiler

Compiled 418 to 310 computations (25.8% saved)

regimes121.0ms (1%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	a
39.0ms	m
25.0ms	k

Results

Error	Segments	Branch
34.5b	5	`a`
20.0b	4	`k`
27.4b	6	`m`

Compiler

Compiled 58 to 33 computations (43.1% saved)

bsearch155.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
114.0ms	4.048679987065636e-6	700.2079855982062
21.0ms	-2.1342916722267894e-308	4.034907125321195e-309
20.0ms	-108235454.36666739	-0.005062913074351517

Compiler

Compiled 400 to 292 computations (27% saved)

regimes40.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	k
11.0ms	m
10.0ms	a

Results

Error	Segments	Branch
46.1b	3	`a`
45.3b	2	`k`
43.5b	2	`m`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch135.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
135.0ms	0.10300266288388049	2.712554655652386e+25

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
a
a

Outputs
a

Calls

3 calls:

3.0ms	k
3.0ms	a
3.0ms	m

Results

Error	Segments	Branch
47.8b	1	`a`
47.8b	1	`k`
47.8b	1	`m`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	401
1	94	401
2	95	401

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 k 500000000000000028928979971363484913696689344587520219086323712) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 4722366482869645/4722366482869645213696) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 4722366482869645/4722366482869645213696) (*.f64 (pow.f64 k m) a) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 m -51000000) (.f64 (pow.f64 k m) a) (if (<=.f64 m 27000000000000000083886080) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -8799999999999999600061981413443862729488426857339551744) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 a (.f64 -10 k))))
(if (<=.f64 m -8799999999999999600061981413443862729488426857339551744) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 a (.f64 -10 k))))
(if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 a (*.f64 -10 k)))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 -10 k)) (if (<=.f64 k 4958484807013127/1180591620717411303424) (.f64 a (+.f64 1 (.f64 -10 k))) (.f64 a (/.f64 1 (*.f64 k k))))))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 -10 k)) (if (<=.f64 k 4958484807013127/1180591620717411303424) a (.f64 a (/.f64 1 (*.f64 k k))))))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 -10 k)) (if (<=.f64 k 4958484807013127/1180591620717411303424) a (/.f64 a (.f64 k k)))))
(if (<=.f64 m 3715469692580659/1125899906842624) a (.f64 a (.f64 -10 k)))
a

Outputs
(if (<=.f64 k 500000000000000028928979971363484913696689344587520219086323712) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 500000000000000028928979971363484913696689344587520219086323712) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (*.f64 k k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 4722366482869645/4722366482869645213696) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 4722366482869645/4722366482869645213696) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 4722366482869645/4722366482869645213696) (*.f64 (pow.f64 k m) a) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 4722366482869645/4722366482869645213696) (*.f64 a (pow.f64 k m)) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 m -51000000) (.f64 (pow.f64 k m) a) (if (<=.f64 m 27000000000000000083886080) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -51000000) (.f64 a (pow.f64 k m)) (if (<=.f64 m 27000000000000000083886080) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 a (pow.f64 k m))))
(if (<=.f64 m -8799999999999999600061981413443862729488426857339551744) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 a (.f64 -10 k))))
(if (<=.f64 m -8799999999999999600061981413443862729488426857339551744) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 a (.f64 k -10))))
(if (<=.f64 m -8799999999999999600061981413443862729488426857339551744) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 a (.f64 -10 k))))
(if (<=.f64 m -8799999999999999600061981413443862729488426857339551744) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 a (.f64 k -10))))
(if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 a (*.f64 -10 k)))
(if (<=.f64 m 3602879701896397/1125899906842624) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 a (*.f64 k -10)))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 -10 k)) (if (<=.f64 k 4958484807013127/1180591620717411303424) (.f64 a (+.f64 1 (.f64 -10 k))) (.f64 a (/.f64 1 (*.f64 k k))))))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 k -10)) (if (<=.f64 k 4958484807013127/1180591620717411303424) (.f64 a (+.f64 1 (.f64 k -10))) (.f64 a (/.f64 1 (*.f64 k k))))))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 -10 k)) (if (<=.f64 k 4958484807013127/1180591620717411303424) a (.f64 a (/.f64 1 (*.f64 k k))))))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 k -10)) (if (<=.f64 k 4958484807013127/1180591620717411303424) a (.f64 a (/.f64 1 (*.f64 k k))))))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 -10 k)) (if (<=.f64 k 4958484807013127/1180591620717411303424) a (/.f64 a (.f64 k k)))))
(if (<=.f64 k -106000000) (/.f64 a (.f64 k k)) (if (<=.f64 k -4250447319453523/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 a (.f64 k -10)) (if (<=.f64 k 4958484807013127/1180591620717411303424) a (/.f64 a (.f64 k k)))))
(if (<=.f64 m 3715469692580659/1125899906842624) a (.f64 a (.f64 -10 k)))
(if (<=.f64 m 3715469692580659/1125899906842624) a (.f64 a (.f64 k -10)))
a

Compiler

Compiled 314 to 194 computations (38.2% saved)

soundness93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
493×	`*-commutative_binary64`
349×	`associate-/l*_binary64`
310×	`times-frac_binary64`
293×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2470
1	517	2281
2	2023	2034
3	6767	1978

Stop Event

1×	node limit

Compiler

Compiled 185 to 133 computations (28.1% saved)

end140.0ms (1.2%)

Compiler: Compiled 281 to 139 computations (50.5% saved)

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	198	111
4	373	111
5	626	111
6	771	111
7	846	111
8	860	111
9	865	111

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	198	111
4	373	111
5	626	111
6	771	111
7	846	111
8	860	111
9	865	111

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	198	111
4	373	111
5	626	111
6	771	111
7	846	111
8	860	111
9	865	111