Details

analyze1.3s (25.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
15.6%	84.3%	0.1%	7
18.7%	81.1%	0.1%	8
25.7%	73.3%	0.9%	9
28.5%	60.8%	10.7%	10
30.2%	58.7%	11.1%	11
32.7%	52.2%	15.2%	12
33.5%	39.2%	27.4%	13
34.3%	37.8%	27.9%	14

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.8s (33.8%)

Results

1.2s	8256×	body	128	valid
537.0ms	3757×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

preprocess50.0ms (1%)

Algorithm

2×	egg-herbie

Rules

549×	`associate-l_binary64`
388×	`associate-r_binary64`
288×	`unswap-sqr_binary64`
269×	`associate-/l*_binary64`
260×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	71	72
2	171	68
3	369	68
4	1018	68
5	3458	68
6	4263	68
7	4441	68
8	4731	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 a (/.f64 (+.f64 1 (+.f64 (.f64 k 10) (.f64 k k))) (pow.f64 k m)))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k k (fma.f64 k 10 1)) a))
(*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)
(*.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 k (/.f64 (+.f64 1 (+.f64 (.f64 a 10) (.f64 a a))) (pow.f64 a m)))
(*.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 (*.f64 m (pow.f64 k a)) (fma.f64 k k (fma.f64 k 10 1)))
(*.f64 (/.f64 (pow.f64 k a) (fma.f64 k (+.f64 k 10) 1)) m)
(*.f64 m (/.f64 (pow.f64 k a) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (pow.f64 k a) (/.f64 (fma.f64 k (+.f64 k 10) 1) m))
(/.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 (fma.f64 m m (fma.f64 m 10 1))) (pow.f64 m k))
(*.f64 (pow.f64 m k) (/.f64 a (fma.f64 m (+.f64 m 10) 1)))
(*.f64 a (/.f64 (pow.f64 m k) (fma.f64 m (+.f64 m 10) 1)))
(/.f64 a (/.f64 (fma.f64 m (+.f64 m 10) 1) (pow.f64 m k)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

589×	`associate-l_binary64`
401×	`*-commutative_binary64`
393×	`associate-*r/_binary64`
357×	`unswap-sqr_binary64`
261×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	18
2	56	17
3	111	17
4	279	17
5	877	17
6	2831	17
7	4305	17
8	4397	17
9	4562	17
10	4781	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 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 k 10) 1)))
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

2.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	2.1b	(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 k (+.f64 k 10) 1)
✓	0.0b	(*.f64 a (pow.f64 k m))
✓	2.1b	(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))

series85.0ms (1.6%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
38.0ms	a	@	0	(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))
17.0ms	k	@	-inf	(*.f64 a (pow.f64 k m))
10.0ms	k	@	0	(*.f64 a (pow.f64 k m))
7.0ms	k	@	inf	(*.f64 a (pow.f64 k m))
2.0ms	k	@	-inf	(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k 10) 1))

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
211×	`expm1-udef_binary64`
211×	`log1p-udef_binary64`
180×	`log-pow_binary64`
157×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	236	32
2	3109	32

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

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

Outputs

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

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

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-r_binary64`
489×	`associate-l_binary64`
474×	`fma-def_binary64`
279×	`associate-/l*_binary64`
240×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1645
1	373	1542
2	1191	1286

Stop Event

1×	node limit

Counts

174 → 139

Calls

Call 1

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

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

prune147.0ms (2.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	5	140

Error

0.0b

Counts

140 → 5

Alt Table

Status	Error	Program
	2.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) (.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))
	27.6b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 10 k) 1)))
	20.9b	(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) k))
	19.3b	(.f64 (pow.f64 k m) (-.f64 a (.f64 k (*.f64 10 a))))
▶	2.1b	(.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 a (pow.f64 k m)))

Compiler

Compiled 3110 to 1773 computations (43% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 k (+.f64 k 10) 1)
	0.0b	(*.f64 a (pow.f64 k m))
✓	0.2b	(/.f64 1 (fma.f64 k (+.f64 k 10) 1))
✓	2.1b	(.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 a (pow.f64 k m)))

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log-prod_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`
195×	`log-pow_binary64`
166×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	257	28
2	3253	28

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

519×	`associate-r_binary64`
431×	`associate-l_binary64`
401×	`fma-def_binary64`
302×	`cancel-sign-sub-inv_binary64`
251×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1447
1	404	1354
2	1292	1132

Stop Event

1×	node limit

Counts

105 → 103

Calls

Call 1

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

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

prune180.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	164	6	170

Error

0.0b

Counts

170 → 6

Alt Table

Status	Error	Program
	2.5b	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
▶	2.1b	(/.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)))
	2.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) 2) (.f64 (cbrt.f64 (.f64 a (pow.f64 k m))) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))
	27.6b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 10 k) 1)))
	20.9b	(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) k))
✓	2.1b	(.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 a (pow.f64 k m)))

Compiler

Compiled 3700 to 2187 computations (40.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (pow.f64 k m))
✓	0.0b	(/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))
✓	0.0b	(/.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)))
✓	15.8b	(sqrt.f64 (fma.f64 k (+.f64 k 10) 1))

series13.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

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

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`
161×	`prod-diff_binary64`
141×	`add-sqr-sqrt_binary64`
136×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	281	46
2	3819	46

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs

(sqrt.f64 (fma.f64 k (+.f64 k 10) 1))

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))) 1)))) (#(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 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 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) 1/4) (pow.f64 (fma.f64 k (+.f64 k 10) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 k (+.f64 k 10) 1)) 1/2))))) (#(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 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 k (+.f64 k 10) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))))))) (#(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 (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 (exp.f64 (log1p.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 k m)) (*.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 a (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1))) (pow.f64 (fma.f64 k (+.f64 k 10) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 a (pow.f64 k m)) 2) (fma.f64 k (+.f64 k 10) 1))) (*.f64 (cbrt.f64 (/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))) (pow.f64 (fma.f64 k (+.f64 k 10) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))) (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))) 2) (cbrt.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (pow.f64 k m)) (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)))) (pow.f64 (fma.f64 k (+.f64 k 10) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))) (sqrt.f64 (/.f64 a (/.f64 (fma.f64 k (+.f64 k 10) 1) (pow.f64 k m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (neg.f64 (pow.f64 k m))) 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simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
475×	`cancel-sign-sub-inv_binary64`
323×	`times-frac_binary64`
199×	`fma-neg_binary64`
171×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2677
1	596	2497
2	1971	1964

Stop Event

1×	node limit

Counts

201 → 203

Calls

Call 1

Inputs
1
(+.f64 (*.f64 5 k) 1)
(-.f64 (+.f64 (.f64 5 k) 1) (.f64 12 (pow.f64 k 2)))
(-.f64 (+.f64 (.f64 5 k) (+.f64 1 (.f64 60 (pow.f64 k 3)))) (*.f64 12 (pow.f64 k 2)))
k
(+.f64 k 5)
(-.f64 (+.f64 k 5) (*.f64 12 (/.f64 1 k)))
(-.f64 (+.f64 k (+.f64 5 (.f64 60 (/.f64 1 (pow.f64 k 2))))) (.f64 12 (/.f64 1 k)))
(*.f64 -1 k)
(neg.f64 (+.f64 k 5))
(-.f64 (*.f64 12 (/.f64 1 k)) (+.f64 k 5))
(-.f64 (.f64 12 (/.f64 1 k)) (+.f64 k (+.f64 5 (.f64 60 (/.f64 1 (pow.f64 k 2))))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(/.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(-.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (.f64 10 (.f64 k (.f64 a (exp.f64 (.f64 (log.f64 k) m))))))
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Outputs
1
(+.f64 (*.f64 5 k) 1)
(fma.f64 5 k 1)
(-.f64 (+.f64 (.f64 5 k) 1) (.f64 12 (pow.f64 k 2)))
(-.f64 (fma.f64 5 k 1) (.f64 12 (.f64 k k)))
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(fma.f64 (*.f64 k k) -12 (fma.f64 5 k 1))
(-.f64 (+.f64 (.f64 5 k) (+.f64 1 (.f64 60 (pow.f64 k 3)))) (*.f64 12 (pow.f64 k 2)))
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(+.f64 (fma.f64 5 k (fma.f64 60 (pow.f64 k 3) 1)) (.f64 (.f64 k k) -12))
(fma.f64 (*.f64 k k) -12 (fma.f64 5 k (fma.f64 60 (pow.f64 k 3) 1)))
k
(+.f64 k 5)
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(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 10 k (+.f64 1 (*.f64 k k))))))
(.f64 a (.f64 (pow.f64 k m) (sqrt.f64 (/.f64 1 (fma.f64 k 10 (fma.f64 k k 1))))))
(.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (/.f64 1 (fma.f64 k k (fma.f64 k 10 1)))))

prune363.0ms (7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	276	5	281

Error

0.0b

Counts

281 → 5

Alt Table

Status	Error	Program
▶	2.5b	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
✓	2.1b	(/.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)))
	27.6b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 10 k) 1)))
	24.9b	(/.f64 (pow.f64 k m) (*.f64 k (/.f64 k a)))
✓	2.1b	(.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 a (pow.f64 k m)))

Compiler

Compiled 7640 to 4644 computations (39.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 k (+.f64 k 10))
✓	1.2b	(exp.f64 (neg.f64 (log1p.f64 (*.f64 k (+.f64 k 10)))))
✓	2.1b	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
✓	16.5b	(log1p.f64 (*.f64 k (+.f64 k 10)))

series60.0ms (1.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	a	@	0	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
20.0ms	k	@	inf	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
8.0ms	m	@	inf	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
1.0ms	a	@	inf	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
1.0ms	m	@	0	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

283×	`prod-diff_binary64`
229×	`fma-def_binary64`
229×	`expm1-udef_binary64`
229×	`log1p-udef_binary64`
140×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	277	45
2	3550	41

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(log1p.f64 (*.f64 k (+.f64 k 10)))
(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 k (+.f64 k 10)))))
(*.f64 k (+.f64 k 10))

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

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-l_binary64`
552×	`fma-def_binary64`
334×	`cancel-sign-sub-inv_binary64`
212×	`times-frac_binary64`
195×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1888
1	491	1654
2	1602	1317

Stop Event

1×	node limit

Counts

209 → 209

Calls

Call 1

Inputs
(*.f64 10 k)
(-.f64 (.f64 10 k) (.f64 49 (pow.f64 k 2)))
(-.f64 (+.f64 (.f64 10 k) (.f64 970/3 (pow.f64 k 3))) (*.f64 49 (pow.f64 k 2)))
(-.f64 (+.f64 (.f64 10 k) (.f64 970/3 (pow.f64 k 3))) (+.f64 (.f64 4801/2 (pow.f64 k 4)) (.f64 49 (pow.f64 k 2))))
(*.f64 -2 (log.f64 (/.f64 1 k)))
(-.f64 (.f64 10 (/.f64 1 k)) (.f64 2 (log.f64 (/.f64 1 k))))
(-.f64 (.f64 10 (/.f64 1 k)) (+.f64 (.f64 49 (/.f64 1 (pow.f64 k 2))) (*.f64 2 (log.f64 (/.f64 1 k)))))
(-.f64 (+.f64 (.f64 970/3 (/.f64 1 (pow.f64 k 3))) (.f64 10 (/.f64 1 k))) (+.f64 (.f64 49 (/.f64 1 (pow.f64 k 2))) (.f64 2 (log.f64 (/.f64 1 k)))))
(*.f64 -2 (log.f64 (/.f64 -1 k)))
(-.f64 (.f64 10 (/.f64 1 k)) (.f64 2 (log.f64 (/.f64 -1 k))))
(-.f64 (.f64 10 (/.f64 1 k)) (+.f64 (.f64 2 (log.f64 (/.f64 -1 k))) (*.f64 49 (/.f64 1 (pow.f64 k 2)))))
(-.f64 (+.f64 (.f64 970/3 (/.f64 1 (pow.f64 k 3))) (.f64 10 (/.f64 1 k))) (+.f64 (.f64 2 (log.f64 (/.f64 -1 k))) (.f64 49 (/.f64 1 (pow.f64 k 2)))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(-.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (.f64 10 (.f64 k (.f64 a (exp.f64 (.f64 (log.f64 k) m))))))
(-.f64 (+.f64 (.f64 99 (.f64 (pow.f64 k 2) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 a (exp.f64 (.f64 (log.f64 k) m)))) (.f64 10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(-.f64 (+.f64 (.f64 99 (.f64 (pow.f64 k 2) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m)))) (+.f64 (.f64 10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 980 (.f64 (pow.f64 k 3) (.f64 a (exp.f64 (.f64 (log.f64 k) m)))))))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(-.f64 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (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 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 4)))) (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))
(-.f64 (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 4)))) (+.f64 (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))) (.f64 980 (/.f64 (.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) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2))
(-.f64 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2)) (.f64 10 (/.f64 (.f64 a (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 3))))
(-.f64 (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 4)))) (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 3))))
(-.f64 (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.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) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 3))) (.f64 980 (/.f64 (.f64 a (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 5)))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) a)
(+.f64 (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (.f64 (log.f64 k) m))) (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) a))
(+.f64 (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (.f64 (log.f64 k) m))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))))) (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) a)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))))) (+.f64 (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (.f64 (log.f64 k) m))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))))) (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) a))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (.f64 10 k) (+.f64 1 (pow.f64 k 2)))))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
1
(-.f64 1 (*.f64 10 k))
(-.f64 (+.f64 1 (.f64 99 (pow.f64 k 2))) (.f64 10 k))
(-.f64 (+.f64 1 (.f64 99 (pow.f64 k 2))) (+.f64 (.f64 10 k) (*.f64 980 (pow.f64 k 3))))
(/.f64 1 (pow.f64 k 2))
(-.f64 (/.f64 1 (pow.f64 k 2)) (*.f64 10 (/.f64 1 (pow.f64 k 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 k 2)) (.f64 99 (/.f64 1 (pow.f64 k 4)))) (.f64 10 (/.f64 1 (pow.f64 k 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 k 2)) (.f64 99 (/.f64 1 (pow.f64 k 4)))) (+.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 1 (pow.f64 k 2)) (.f64 99 (/.f64 1 (pow.f64 k 4)))) (.f64 10 (/.f64 1 (pow.f64 k 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 k 2)) (.f64 99 (/.f64 1 (pow.f64 k 4)))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 k 3))) (*.f64 980 (/.f64 1 (pow.f64 k 5)))))
(*.f64 10 k)
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(pow.f64 k 2)
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(pow.f64 k 2)
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(+.f64 (*.f64 10 k) (pow.f64 k 2))
(+.f64 (*.f64 10 k) (pow.f64 k 2))

Outputs
(*.f64 10 k)
(-.f64 (.f64 10 k) (.f64 49 (pow.f64 k 2)))
(+.f64 (.f64 10 k) (.f64 -49 (*.f64 k k)))
(fma.f64 10 k (.f64 (.f64 k k) -49))
(.f64 k (+.f64 10 (.f64 -49 k)))
(-.f64 (+.f64 (.f64 10 k) (.f64 970/3 (pow.f64 k 3))) (*.f64 49 (pow.f64 k 2)))
(+.f64 (fma.f64 10 k (.f64 970/3 (pow.f64 k 3))) (.f64 -49 (*.f64 k k)))
(fma.f64 10 k (fma.f64 970/3 (pow.f64 k 3) (.f64 (.f64 k k) -49)))
(fma.f64 970/3 (pow.f64 k 3) (.f64 k (+.f64 10 (.f64 -49 k))))
(-.f64 (+.f64 (.f64 10 k) (.f64 970/3 (pow.f64 k 3))) (+.f64 (.f64 4801/2 (pow.f64 k 4)) (.f64 49 (pow.f64 k 2))))
(-.f64 (fma.f64 10 k (.f64 970/3 (pow.f64 k 3))) (fma.f64 4801/2 (pow.f64 k 4) (.f64 49 (*.f64 k k))))
(-.f64 (fma.f64 970/3 (pow.f64 k 3) (.f64 10 k)) (fma.f64 49 (.f64 k k) (*.f64 4801/2 (pow.f64 k 4))))
(fma.f64 10 k (fma.f64 970/3 (pow.f64 k 3) (fma.f64 (.f64 k k) -49 (.f64 (pow.f64 k 4) -4801/2))))
(*.f64 -2 (log.f64 (/.f64 1 k)))
(*.f64 -2 (neg.f64 (log.f64 k)))
(*.f64 2 (log.f64 k))
(-.f64 (.f64 10 (/.f64 1 k)) (.f64 2 (log.f64 (/.f64 1 k))))
(+.f64 (/.f64 10 k) (*.f64 -2 (neg.f64 (log.f64 k))))
(+.f64 (/.f64 10 k) (*.f64 (log.f64 k) 2))
(fma.f64 2 (log.f64 k) (/.f64 10 k))
(-.f64 (.f64 10 (/.f64 1 k)) (+.f64 (.f64 49 (/.f64 1 (pow.f64 k 2))) (*.f64 2 (log.f64 (/.f64 1 k)))))
(-.f64 (/.f64 10 k) (+.f64 (.f64 2 (neg.f64 (log.f64 k))) (/.f64 49 (.f64 k k))))
(+.f64 (-.f64 (/.f64 10 k) (/.f64 49 (.f64 k k))) (.f64 (log.f64 k) 2))
(+.f64 (/.f64 10 k) (fma.f64 2 (log.f64 k) (/.f64 -49 (*.f64 k k))))
(-.f64 (+.f64 (.f64 970/3 (/.f64 1 (pow.f64 k 3))) (.f64 10 (/.f64 1 k))) (+.f64 (.f64 49 (/.f64 1 (pow.f64 k 2))) (.f64 2 (log.f64 (/.f64 1 k)))))
(-.f64 (+.f64 (/.f64 10 k) (/.f64 970/3 (pow.f64 k 3))) (+.f64 (.f64 2 (neg.f64 (log.f64 k))) (/.f64 49 (.f64 k k))))
(+.f64 (/.f64 970/3 (pow.f64 k 3)) (+.f64 (-.f64 (/.f64 10 k) (/.f64 49 (.f64 k k))) (.f64 (log.f64 k) 2)))
(+.f64 (/.f64 970/3 (pow.f64 k 3)) (+.f64 (/.f64 10 k) (fma.f64 2 (log.f64 k) (/.f64 -49 (*.f64 k k)))))
(*.f64 -2 (log.f64 (/.f64 -1 k)))
(-.f64 (.f64 10 (/.f64 1 k)) (.f64 2 (log.f64 (/.f64 -1 k))))
(+.f64 (/.f64 10 k) (*.f64 -2 (log.f64 (/.f64 -1 k))))
(fma.f64 -2 (log.f64 (/.f64 -1 k)) (/.f64 10 k))
(-.f64 (.f64 10 (/.f64 1 k)) (+.f64 (.f64 2 (log.f64 (/.f64 -1 k))) (*.f64 49 (/.f64 1 (pow.f64 k 2)))))
(-.f64 (/.f64 10 k) (fma.f64 2 (log.f64 (/.f64 -1 k)) (/.f64 49 (*.f64 k k))))
(-.f64 (+.f64 (.f64 970/3 (/.f64 1 (pow.f64 k 3))) (.f64 10 (/.f64 1 k))) (+.f64 (.f64 2 (log.f64 (/.f64 -1 k))) (.f64 49 (/.f64 1 (pow.f64 k 2)))))
(+.f64 (/.f64 970/3 (pow.f64 k 3)) (-.f64 (/.f64 10 k) (fma.f64 2 (log.f64 (/.f64 -1 k)) (/.f64 49 (*.f64 k k)))))
(-.f64 (+.f64 (/.f64 10 k) (/.f64 970/3 (pow.f64 k 3))) (fma.f64 2 (log.f64 (/.f64 -1 k)) (/.f64 49 (*.f64 k k))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(-.f64 (.f64 a (exp.f64 (.f64 (log.f64 k) m))) (.f64 10 (.f64 k (.f64 a (exp.f64 (.f64 (log.f64 k) m))))))
(+.f64 (.f64 (pow.f64 k m) a) (.f64 -10 (.f64 (.f64 k a) (pow.f64 k m))))
(fma.f64 (pow.f64 k m) a (.f64 (.f64 -10 (*.f64 k (pow.f64 k m))) a))
(.f64 (fma.f64 k -10 1) (.f64 (pow.f64 k m) a))
(-.f64 (+.f64 (.f64 99 (.f64 (pow.f64 k 2) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 a (exp.f64 (.f64 (log.f64 k) m)))) (.f64 10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(+.f64 (fma.f64 99 (.f64 (.f64 (.f64 k k) a) (pow.f64 k m)) (.f64 (pow.f64 k m) a)) (.f64 -10 (.f64 (*.f64 k a) (pow.f64 k m))))
(+.f64 (.f64 (fma.f64 (.f64 k k) 99 1) (.f64 (pow.f64 k m) a)) (.f64 (.f64 -10 (.f64 k (pow.f64 k m))) a))
(.f64 (.f64 (pow.f64 k m) a) (fma.f64 k (*.f64 k 99) (fma.f64 k -10 1)))
(-.f64 (+.f64 (.f64 99 (.f64 (pow.f64 k 2) (.f64 a (exp.f64 (.f64 (log.f64 k) m))))) (.f64 a (exp.f64 (.f64 (log.f64 k) m)))) (+.f64 (.f64 10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 980 (.f64 (pow.f64 k 3) (.f64 a (exp.f64 (.f64 (log.f64 k) m)))))))
(-.f64 (fma.f64 99 (.f64 (.f64 (.f64 k k) a) (pow.f64 k m)) (.f64 (pow.f64 k m) a)) (fma.f64 10 (.f64 (.f64 k a) (pow.f64 k m)) (.f64 980 (.f64 (*.f64 (pow.f64 k 3) a) (pow.f64 k m)))))
(-.f64 (.f64 (fma.f64 (.f64 k k) 99 1) (.f64 (pow.f64 k m) a)) (.f64 (.f64 (pow.f64 k m) a) (fma.f64 (pow.f64 k 3) 980 (.f64 10 k))))
(fma.f64 (pow.f64 k m) a (.f64 (.f64 (pow.f64 k m) a) (fma.f64 k (.f64 k 99) (fma.f64 k -10 (.f64 (pow.f64 k 3) -980)))))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(/.f64 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (*.f64 k k))
(.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))
(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) k))
(-.f64 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (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 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (.f64 k k)) (.f64 -10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 k)) m)))))))
(+.f64 (.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) -10))
(fma.f64 (/.f64 a (.f64 k k)) (pow.f64 k m) (.f64 (/.f64 a (pow.f64 k 3)) (*.f64 (pow.f64 k m) -10)))
(-.f64 (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 4)))) (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))
(+.f64 (/.f64 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (.f64 k k)) (-.f64 (.f64 99 (/.f64 a (/.f64 (pow.f64 k 4) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))))) (.f64 10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 k)) m))))))))
(+.f64 (fma.f64 99 (.f64 (/.f64 a (pow.f64 k 4)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))) (.f64 (*.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) -10))
(fma.f64 (/.f64 a (.f64 k k)) (pow.f64 k m) (.f64 (.f64 (/.f64 a k) (/.f64 (pow.f64 k m) k)) (-.f64 (/.f64 99 (.f64 k k)) (/.f64 10 k))))
(-.f64 (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 4)))) (+.f64 (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))) (.f64 980 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 5)))))
(+.f64 (/.f64 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (.f64 k k)) (-.f64 (.f64 99 (/.f64 a (/.f64 (pow.f64 k 4) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))))) (fma.f64 10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m))))) (.f64 980 (/.f64 a (/.f64 (pow.f64 k 5) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))))))))
(-.f64 (fma.f64 99 (.f64 (/.f64 a (pow.f64 k 4)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))) (fma.f64 10 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (/.f64 (*.f64 a 980) (/.f64 (pow.f64 k 5) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)))))
(+.f64 (.f64 (+.f64 (/.f64 99 (.f64 k k)) 1) (.f64 (/.f64 a k) (/.f64 (pow.f64 k m) k))) (fma.f64 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 k m)) -10 (.f64 (.f64 (/.f64 a (pow.f64 k 5)) (pow.f64 k m)) -980)))
(/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2))
(/.f64 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (*.f64 k k))
(.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))
(*.f64 (/.f64 a k) (/.f64 (pow.f64 k m) k))
(-.f64 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2)) (.f64 10 (/.f64 (.f64 a (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 3))))
(+.f64 (/.f64 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (.f64 k k)) (.f64 -10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 k)) m)))))))
(+.f64 (.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) -10))
(fma.f64 (/.f64 a (.f64 k k)) (pow.f64 k m) (.f64 (/.f64 a (pow.f64 k 3)) (*.f64 (pow.f64 k m) -10)))
(-.f64 (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 4)))) (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 3))))
(+.f64 (/.f64 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (.f64 k k)) (-.f64 (.f64 99 (/.f64 a (/.f64 (pow.f64 k 4) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))))) (.f64 10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 k)) m))))))))
(+.f64 (fma.f64 99 (.f64 (/.f64 a (pow.f64 k 4)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) (.f64 (/.f64 a (.f64 k k)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m))) (.f64 (*.f64 (/.f64 a (pow.f64 k 3)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 k)))) m)) -10))
(fma.f64 (/.f64 a (.f64 k k)) (pow.f64 k m) (.f64 (.f64 (/.f64 a k) (/.f64 (pow.f64 k m) k)) (-.f64 (/.f64 99 (.f64 k k)) (/.f64 10 k))))
(-.f64 (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 2)) (.f64 99 (/.f64 (.f64 a (exp.f64 (.f64 (-.f64 (log.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) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 3))) (.f64 980 (/.f64 (.f64 a (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))) m))) (pow.f64 k 5)))))
(+.f64 (/.f64 (.f64 a (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))) (.f64 k k)) (-.f64 (.f64 99 (/.f64 a (/.f64 (pow.f64 k 4) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))))) (fma.f64 10 (/.f64 a (/.f64 (pow.f64 k 3) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m))))) (.f64 980 (/.f64 a (/.f64 (pow.f64 k 5) (exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 k)) m)))))))))
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prune197.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	209	5	214

Error

0.0b

Counts

214 → 5

Alt Table

Status	Error	Program
✓	2.5b	(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 k (+.f64 k 10))))) (*.f64 a (pow.f64 k m)))
✓	2.1b	(/.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)))
	27.6b	(fma.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (*.f64 (log.f64 k) m) (/.f64 a (fma.f64 k (+.f64 10 k) 1)))
	24.9b	(/.f64 (pow.f64 k m) (*.f64 k (/.f64 k a)))
✓	2.1b	(.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 a (pow.f64 k m)))

Compiler

Compiled 4399 to 2569 computations (41.6% saved)

regimes399.0ms (7.7%)

Accuracy

Total 0.1b remaining (34.2%)

Threshold costs 0.1b (34.2%)

Counts

139 → 2

Compiler

Compiled 2036 to 1071 computations (47.4% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Calls

1 calls:

18.0ms

Steps

Iters	Point		Range
1.5e+127	∈ [	2.6443394277860558e+126	,	1.9523424094222724e+127	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	23	36

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 k 15000000000000001127617303747773129412071435965286123202243636535366488878636228069968116516466370531423989325582787894900162560) (*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 10 k) 1))) (/.f64 (pow.f64 k m) (*.f64 k (/.f64 k a))))

Outputs

(if (<=.f64 k 15000000000000001127617303747773129412071435965286123202243636535366488878636228069968116516466370531423989325582787894900162560) (*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 10 k) 1))) (/.f64 (pow.f64 k m) (*.f64 k (/.f64 k a))))

(if (<=.f64 k 15000000000000001127617303747773129412071435965286123202243636535366488878636228069968116516466370531423989325582787894900162560) (*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 k 10) 1))) (/.f64 (pow.f64 k m) (*.f64 k (/.f64 k a))))

end97.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 150 to 96 computations (36% saved)

Details

analyze1.3s (25.4%)

sample1.8s (33.8%)

preprocess50.0ms (1%)

simplify45.0ms (0.9%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series85.0ms (1.6%)

rewrite63.0ms (1.2%)

simplify41.0ms (0.8%)

prune147.0ms (2.8%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite51.0ms (1%)

simplify36.0ms (0.7%)

prune180.0ms (3.5%)

localize9.0ms (0.2%)

series13.0ms (0.3%)

rewrite65.0ms (1.3%)

simplify61.0ms (1.2%)

prune363.0ms (7%)

localize10.0ms (0.2%)

series60.0ms (1.2%)

rewrite56.0ms (1.1%)

simplify45.0ms (0.9%)

prune197.0ms (3.8%)

regimes399.0ms (7.7%)

bsearch19.0ms (0.4%)

simplify2.0ms (0%)

end97.0ms (1.9%)

Profiling