Details

analyze465.0ms (3.8%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample2.3s (18.8%)

Results

1.3s	8256×	body	256	valid
955.0ms	6246×	body	256	invalid

preprocess139.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
▶	1.4b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 k (+.f64 k 10) 1)
✓	0.1b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	1.4b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series93.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
73.0ms	a	@	0	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
5.0ms	m	@	0	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
2.0ms	k	@	-inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	k	@	inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
1.0ms	m	@	0	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

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

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

175 → 174

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	0.0b	(*.f64 a (pow.f64 k m))
✓	1.4b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 51 to 25 computations (51% saved)

series46.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
13.0ms	k	@	-inf	(*.f64 a (pow.f64 k m))
11.0ms	k	@	0	(*.f64 a (pow.f64 k m))
11.0ms	k	@	inf	(*.f64 a (pow.f64 k m))
2.0ms	k	@	-inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
1.0ms	a	@	0	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	285	34
2	4008	32

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

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

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

224 → 189

Calls

Call 1

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

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

eval272.0ms (2.2%)

Compiler: Compiled 8411 to 4896 computations (41.8% saved)

prune116.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	353	10	363
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	355	10	365

Error

1.4b

Counts

365 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	11.2b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 10 k))))
▶	20.9b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	25.9b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
▶	28.4b	(/.f64 (+.f64 a (.f64 a (.f64 (log.f64 k) m))) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
	20.9b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
	1.6b	(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
▶	17.4b	(*.f64 (pow.f64 k m) a)
▶	17.8b	(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
	1.8b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))) 3)
▶	1.5b	(*.f64 a (/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))

Compiler

Compiled 296 to 208 computations (29.7% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)
✓	0.1b	(/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2))
✓	1.4b	(*.f64 a (/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))
✓	17.0b	(sqrt.f64 (fma.f64 k (+.f64 k 10) 1))

Compiler

Compiled 65 to 42 computations (35.4% saved)

series71.0ms (0.6%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
31.0ms	k	@	-inf	(*.f64 a (/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))
27.0ms	k	@	-inf	(/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2))
1.0ms	k	@	inf	(*.f64 a (/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))
1.0ms	m	@	0	(*.f64 a (/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))
1.0ms	k	@	inf	(/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
346×	`pow2_binary64`
240×	`pow1/3_binary64`
238×	`pow-unpow_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	302	49
2	3467	49

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

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

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

416×	`times-frac_binary64`
400×	`associate-/l*_binary64`
357×	`*-commutative_binary64`
334×	`associate-+l+_binary64`
292×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2477
1	649	2228
2	2289	1839
3	7188	1783

Stop Event

1×	node limit

Counts

220 → 233

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 5 k))
(+.f64 (.f64 -12 (pow.f64 k 2)) (+.f64 1 (.f64 5 k)))
(+.f64 (.f64 -12 (pow.f64 k 2)) (+.f64 (.f64 60 (pow.f64 k 3)) (+.f64 1 (*.f64 5 k))))
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)
(-.f64 (*.f64 -1 k) 5)
(-.f64 (+.f64 (.f64 -1 k) (.f64 12 (/.f64 1 k))) 5)
(-.f64 (+.f64 (.f64 -1 k) (.f64 12 (/.f64 1 k))) (+.f64 5 (*.f64 60 (/.f64 1 (pow.f64 k 2)))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (*.f64 (log.f64 k) m)) a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 -10 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))) (+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (.f64 -100 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a)))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (pow.f64 k 4))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) a) (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -10 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (.f64 -10 (+.f64 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))) (.f64 -100 (.f64 a (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))))) (pow.f64 k 5))))))
(/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))
(+.f64 (.f64 -10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 3))) (+.f64 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 5))) (.f64 -1 (/.f64 (+.f64 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (.f64 -100 (.f64 a (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m))))) (pow.f64 k 4)))))))
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2))) (+.f64 1 (.f64 k (+.f64 k 10))))) (+.f64 (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/6 (/.f64 (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (.f64 a (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(exp.f64 (*.f64 (log.f64 k) m))
(+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -10 (.f64 k (exp.f64 (.f64 (log.f64 k) m)))))
(+.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m)))))) (.f64 -10 (.f64 k (exp.f64 (*.f64 (log.f64 k) m))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 k 3) (+.f64 (.f64 -10 (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m))))) (.f64 -10 (exp.f64 (.f64 (log.f64 k) m)))))) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 (.f64 -1 (.f64 (pow.f64 k 2) (+.f64 (exp.f64 (.f64 (log.f64 k) m)) (.f64 -100 (exp.f64 (.f64 (log.f64 k) m)))))) (.f64 -10 (.f64 k (exp.f64 (*.f64 (log.f64 k) m)))))))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (pow.f64 k 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -10 (+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (.f64 -100 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m)))))) (.f64 -10 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))))) (pow.f64 k 5))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m))) (pow.f64 k 2)))))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (.f64 10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 5)))))))
(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (*.f64 k (+.f64 k 10))))))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))

Outputs
1
(+.f64 1 (*.f64 5 k))
(fma.f64 5 k 1)
(+.f64 (.f64 -12 (pow.f64 k 2)) (+.f64 1 (.f64 5 k)))
(fma.f64 -12 (.f64 k k) (+.f64 1 (.f64 5 k)))
(fma.f64 -12 (*.f64 k k) (fma.f64 5 k 1))
(+.f64 (.f64 -12 (pow.f64 k 2)) (+.f64 (.f64 60 (pow.f64 k 3)) (+.f64 1 (*.f64 5 k))))
(fma.f64 -12 (.f64 k k) (fma.f64 60 (pow.f64 k 3) (+.f64 1 (.f64 5 k))))
(fma.f64 -12 (*.f64 k k) (fma.f64 60 (pow.f64 k 3) (fma.f64 5 k 1)))
k
(+.f64 k 5)
(+.f64 5 k)
(-.f64 (+.f64 k 5) (*.f64 12 (/.f64 1 k)))
(+.f64 k (-.f64 5 (/.f64 12 k)))
(+.f64 k (+.f64 5 (/.f64 -12 k)))
(-.f64 (+.f64 k (+.f64 5 (.f64 60 (/.f64 1 (pow.f64 k 2))))) (.f64 12 (/.f64 1 k)))
(+.f64 k (-.f64 (+.f64 5 (/.f64 60 (*.f64 k k))) (/.f64 12 k)))
(+.f64 k (+.f64 (/.f64 60 (*.f64 k k)) (+.f64 5 (/.f64 -12 k))))
(+.f64 5 (-.f64 (+.f64 k (/.f64 (/.f64 60 k) k)) (/.f64 12 k)))
(+.f64 k (+.f64 (/.f64 (/.f64 60 k) k) (+.f64 5 (/.f64 -12 k))))
(*.f64 -1 k)
(neg.f64 k)
(-.f64 (*.f64 -1 k) 5)
(fma.f64 -1 k -5)
(fma.f64 k -1 -5)
(-.f64 -5 k)
(-.f64 (+.f64 (.f64 -1 k) (.f64 12 (/.f64 1 k))) 5)
(+.f64 (fma.f64 -1 k (/.f64 12 k)) -5)
(+.f64 (-.f64 (/.f64 12 k) k) -5)
(+.f64 (/.f64 12 k) (-.f64 -5 k))
(-.f64 (+.f64 (.f64 -1 k) (.f64 12 (/.f64 1 k))) (+.f64 5 (*.f64 60 (/.f64 1 (pow.f64 k 2)))))
(-.f64 (fma.f64 -1 k (/.f64 12 k)) (+.f64 5 (/.f64 60 (*.f64 k k))))
(+.f64 (-.f64 (/.f64 12 k) k) (-.f64 -5 (/.f64 60 (*.f64 k k))))
(+.f64 (/.f64 12 k) (-.f64 (-.f64 -5 k) (/.f64 (/.f64 60 k) k)))
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(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
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(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
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(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)
(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
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(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
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(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
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(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (.f64 k (+.f64 k 10))))
(*.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)) a)
(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(+.f64 (.f64 -10 (.f64 k (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))) (.f64 (exp.f64 (.f64 (log.f64 k) m)) a))
(fma.f64 -10 (.f64 k (.f64 (pow.f64 k m) a)) (*.f64 (pow.f64 k m) a))
(.f64 (+.f64 (.f64 k -10) 1) (*.f64 (pow.f64 k m) a))
(.f64 (.f64 (pow.f64 k m) a) (+.f64 1 (*.f64 k -10)))
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(fma.f64 -10 (.f64 k (.f64 (pow.f64 k m) a)) (fma.f64 -1 (.f64 (.f64 k k) (.f64 -99 (.f64 (pow.f64 k m) a))) (*.f64 (pow.f64 k m) a)))
(+.f64 (.f64 (+.f64 (.f64 k -10) 1) (.f64 (pow.f64 k m) a)) (.f64 (.f64 a (.f64 (pow.f64 k m) -99)) (*.f64 (neg.f64 k) k)))
(.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k -10)) (.f64 -99 (*.f64 k (neg.f64 k)))))
(.f64 (.f64 (pow.f64 k m) a) (-.f64 (+.f64 1 (.f64 k -10)) (.f64 (*.f64 k k) -99)))
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(-.f64 (+.f64 (.f64 (+.f64 (.f64 k -10) 1) (.f64 (pow.f64 k m) a)) (.f64 (.f64 a (.f64 (pow.f64 k m) -99)) (.f64 (neg.f64 k) k))) (.f64 (pow.f64 k 3) (.f64 -10 (.f64 -98 (*.f64 (pow.f64 k m) a)))))
(-.f64 (.f64 (.f64 (pow.f64 k m) a) (+.f64 (+.f64 1 (.f64 k -10)) (.f64 -99 (.f64 k (neg.f64 k))))) (.f64 (pow.f64 k 3) (.f64 (.f64 (pow.f64 k m) a) 980)))
(-.f64 (.f64 (.f64 (pow.f64 k m) a) (-.f64 (+.f64 1 (.f64 k -10)) (.f64 (.f64 k k) -99))) (.f64 (pow.f64 k 3) (.f64 (.f64 (pow.f64 k m) a) 980)))
(/.f64 (.f64 a (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 k)) m)))) (pow.f64 k 2))
(/.f64 (exp.f64 (neg.f64 (.f64 m (neg.f64 (log.f64 k))))) (/.f64 (.f64 k k) a))
(.f64 (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) (*.f64 k k)) a)
(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
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(fma.f64 -10 (.f64 (/.f64 a (pow.f64 k 3)) (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (.f64 (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) (*.f64 k k)) a))
(.f64 (+.f64 (/.f64 -10 k) 1) (.f64 (pow.f64 k m) (/.f64 a (*.f64 k k))))
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(+.f64 (fma.f64 -10 (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) (pow.f64 k 3)) (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))) (.f64 k k))) (+.f64 (/.f64 (.f64 99 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m)))) (pow.f64 k 4)) (/.f64 (.f64 10 (.f64 -98 (exp.f64 (.f64 (neg.f64 (log.f64 k)) (neg.f64 m))))) (pow.f64 k 5))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 k m) (.f64 k k))) (-.f64 (/.f64 99 (/.f64 (pow.f64 k 4) (pow.f64 k m))) (/.f64 (*.f64 (pow.f64 k m) 980) (pow.f64 k 5))))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2))
(/.f64 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (.f64 k k))
(/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (*.f64 k k))
(/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 k k))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 k)) m) (*.f64 k k))
(+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)))
(fma.f64 -10 (/.f64 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (pow.f64 k 3)) (/.f64 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (*.f64 k k)))
(fma.f64 -10 (/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (pow.f64 k 3)) (/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (*.f64 k k)))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (*.f64 k k)))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 k)) m) (.f64 k k)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2))))
(fma.f64 -1 (/.f64 (.f64 -99 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))))) (pow.f64 k 4)) (fma.f64 -10 (/.f64 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (pow.f64 k 3)) (/.f64 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (*.f64 k k))))
(-.f64 (fma.f64 -10 (/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (pow.f64 k 3)) (/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (.f64 k k))) (/.f64 (.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) -99) (pow.f64 k 4)))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 k k))) (/.f64 99 (/.f64 (pow.f64 k 4) (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 k)) m) (.f64 k k))) (/.f64 99 (/.f64 (pow.f64 k 4) (pow.f64 (/.f64 -1 (/.f64 -1 k)) m))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 4))) (+.f64 (.f64 -10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 3))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 2)) (+.f64 (.f64 10 (/.f64 (+.f64 (.f64 -100 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m))) (pow.f64 k 5))) (.f64 10 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 k)))) m)) (pow.f64 k 5)))))))
(fma.f64 -1 (/.f64 (.f64 -99 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))))) (pow.f64 k 4)) (+.f64 (fma.f64 -10 (/.f64 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (pow.f64 k 3)) (/.f64 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (.f64 k k))) (.f64 10 (+.f64 (/.f64 (.f64 -99 (exp.f64 (.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k))))))) (pow.f64 k 5)) (/.f64 (exp.f64 (*.f64 m (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 k)))))) (pow.f64 k 5))))))
(+.f64 (/.f64 (.f64 99 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k))))) (pow.f64 k 4)) (fma.f64 -10 (/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (pow.f64 k 3)) (fma.f64 10 (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) -99) (pow.f64 k 5)) (/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (pow.f64 k 5))) (/.f64 (pow.f64 (exp.f64 m) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 k)))) (*.f64 k k)))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (.f64 k k))) (+.f64 (/.f64 99 (/.f64 (pow.f64 k 4) (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m))) (fma.f64 10 (/.f64 (pow.f64 (.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) (pow.f64 k 5)) (/.f64 (.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 k) -1)) m) -990) (pow.f64 k 5)))))
(+.f64 (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 k)) m) (.f64 k k))) (+.f64 (/.f64 99 (/.f64 (pow.f64 k 4) (pow.f64 (/.f64 -1 (/.f64 -1 k)) m))) (fma.f64 10 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 k)) m) (pow.f64 k 5)) (/.f64 (*.f64 (pow.f64 (/.f64 -1 (/.f64 -1 k)) m) -990) (pow.f64 k 5)))))
(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 1 (fma.f64 k (+.f64 k 10) 1))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m)))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (*.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m))
(+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (*.f64 m (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(+.f64 (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m)) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m)) (+.f64 1 (.f64 k (+.f64 k 10)))))))
(+.f64 (.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1)) (*.f64 m m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))
(+.f64 (.f64 m (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1))) (fma.f64 1/2 (.f64 (*.f64 m m) (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1))) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))))
(+.f64 (/.f64 (.f64 (log.f64 k) m) (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (pow.f64 m 2)) (+.f64 1 (.f64 k (+.f64 k 10))))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (*.f64 k (+.f64 k 10))))))))
(+.f64 (/.f64 (log.f64 k) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) m)) (+.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 k) 2) (.f64 m m)) (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (+.f64 1 (.f64 k (+.f64 k 10))))))))
(+.f64 (.f64 (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)) m) (+.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log.f64 k) 2) (fma.f64 k (+.f64 k 10) 1)) (.f64 m m)) (/.f64 1 (fma.f64 k (+.f64 k 10) 1))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3)) (fma.f64 k (+.f64 k 10) 1)))))
(+.f64 (+.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) (.f64 m (/.f64 (log.f64 k) (fma.f64 k (+.f64 k 10) 1)))) (fma.f64 1/6 (.f64 (pow.f64 m 3) (/.f64 (pow.f64 (log.f64 k) 3) (fma.f64 k (+.f64 k 10) 1))) (.f64 (/.f64 1/2 (fma.f64 k (+.f64 k 10) 1)) (.f64 m (*.f64 m (pow.f64 (log.f64 k) 2))))))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
(/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (*.f64 k 10))
(fma.f64 k 10 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(pow.f64 k 2)
(*.f64 k k)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(*.f64 k (+.f64 k 10))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (*.f64 k (+.f64 k 10)))
(fma.f64 k (+.f64 k 10) 1)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 k (+.f64 k 10))
✓	5.4b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite155.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

124 → 122

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series35.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	k	@	inf	(*.f64 (pow.f64 k m) a)
1.0ms	k	@	0	(*.f64 (pow.f64 k m) a)
0.0ms	k	@	-inf	(*.f64 (pow.f64 k m) a)
0.0ms	a	@	inf	(*.f64 (pow.f64 k m) a)
0.0ms	m	@	0	(*.f64 (pow.f64 k m) a)

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 22

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 23 computations (41% saved)

series60.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
50.0ms	a	@	inf	(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
1.0ms	a	@	0	(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
1.0ms	m	@	inf	(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
1.0ms	a	@	-inf	(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))
1.0ms	m	@	0	(.f64 a (.f64 (pow.f64 k m) (+.f64 1 (*.f64 k -10))))

rewrite166.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
440×	`prod-diff_binary64`
404×	`pow-prod-down_binary64`
369×	`fma-def_binary64`
294×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	233	30
2	3006	30

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

719×	`associate-l_binary64`
638×	`associate-r_binary64`
517×	`fma-neg_binary64`
468×	`fma-def_binary64`
365×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1215
1	257	1019
2	884	949
3	4636	922
4	7382	922

Stop Event

1×	node limit

Counts

236 → 202

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	0.1b	(.f64 a (.f64 (log.f64 k) m))
✓	0.2b	(*.f64 (log.f64 k) m)
✓	3.4b	(/.f64 (+.f64 a (.f64 a (.f64 (log.f64 k) m))) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))

Compiler

Compiled 66 to 27 computations (59.1% saved)

series72.0ms (0.6%)

Counts

3 → 52

Calls

24 calls:

Time	Variable		Point	Expression
43.0ms	k	@	inf	(/.f64 (+.f64 a (.f64 a (.f64 (log.f64 k) m))) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
8.0ms	m	@	0	(*.f64 (log.f64 k) m)
5.0ms	m	@	0	(.f64 a (.f64 (log.f64 k) m))
2.0ms	m	@	0	(/.f64 (+.f64 a (.f64 a (.f64 (log.f64 k) m))) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
1.0ms	k	@	-inf	(/.f64 (+.f64 a (.f64 a (.f64 (log.f64 k) m))) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`log-prod_binary64`
768×	`fma-def_binary64`
324×	`fma-neg_binary64`
290×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	328	36
2	4718	35

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

967×	`fma-def_binary64`
492×	`associate-+l+_binary64`
476×	`associate-l_binary64`
453×	`associate-r_binary64`
369×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1952
1	415	1644
2	1621	1368

Stop Event

1×	node limit

Counts

124 → 114

Calls

Call 1

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

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

eval340.0ms (2.8%)

Compiler: Compiled 15729 to 9030 computations (42.6% saved)

prune166.0ms (1.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	762	10	772
Fresh	2	3	5
Picked	1	0	1
Done	1	3	4
Total	766	16	782

Error

0.0b

Counts

782 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	27.6b	(.f64 (/.f64 1 (hypot.f64 k (sqrt.f64 (fma.f64 k 10 1)))) (/.f64 (.f64 a (fma.f64 (log.f64 k) m 1)) (hypot.f64 k (sqrt.f64 (fma.f64 k 10 1)))))
	45.7b	a
✓	20.9b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	25.9b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
	21.0b	(pow.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) -1)
▶	1.6b	(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
✓	17.4b	(*.f64 (pow.f64 k m) a)
▶	46.3b	(+.f64 a (.f64 a (.f64 (log.f64 k) m)))
▶	37.3b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	46.3b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	1.5b	(*.f64 a (/.f64 (pow.f64 k m) (pow.f64 (sqrt.f64 (fma.f64 k (+.f64 k 10) 1)) 2)))
▶	20.9b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
▶	40.7b	(/.f64 (/.f64 a k) k)
	21.2b	(/.f64 a (+.f64 1 (pow.f64 (sqrt.f64 (*.f64 k (+.f64 k 10))) 2)))
	21.8b	(/.f64 a (+.f64 1 (*.f64 k k)))
	46.4b	(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))

Compiler

Compiled 366 to 264 computations (27.9% saved)

localize20.0ms (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 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
✓	1.4b	(/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m)))

Compiler

Compiled 51 to 25 computations (51% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

177 → 166

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 38

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	8
2	2168	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	357
1	115	329
2	299	295
3	911	277
4	3346	277
5	7717	277

Stop Event

1×	node limit

Counts

57 → 50

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 k (+.f64 k 10))
✓	0.4b	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	4.9b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

99 → 95

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 a (.f64 (log.f64 k) m))
	0.2b	(*.f64 (log.f64 k) m)

Compiler

Compiled 26 to 7 computations (73.1% saved)

eval288.0ms (2.4%)

Compiler: Compiled 9332 to 5805 computations (37.8% saved)

prune140.0ms (1.2%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	505	15	520
Fresh	5	3	8
Picked	0	1	1
Done	3	4	7
Total	513	23	536

Error

Counts

536 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	38.2b	(.f64 a (/.f64 1 (.f64 k k)))
✓	20.9b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	25.9b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
▶	17.5b	(/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k))
	38.2b	(/.f64 a (*.f64 k k))
▶	53.4b	(*.f64 a (/.f64 1/10 k))
	39.1b	(*.f64 (/.f64 a 1) (/.f64 (/.f64 1 k) k))
✓	46.3b	(+.f64 a (.f64 a (.f64 (log.f64 k) m)))
	27.9b	(/.f64 1 (+.f64 (/.f64 (.f64 k (+.f64 k 10)) a) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 k) (.f64 m (+.f64 1 (*.f64 k (+.f64 k 10))))) a)) (/.f64 1 a))))
✓	17.4b	(*.f64 (pow.f64 k m) a)
✓	40.7b	(/.f64 (/.f64 a k) k)
	40.8b	(pow.f64 (*.f64 k (/.f64 k a)) -1)
	21.8b	(/.f64 a (+.f64 1 (*.f64 k k)))
	45.7b	a
▶	17.5b	(/.f64 1 (/.f64 1 (*.f64 (pow.f64 k m) a)))
✓	37.3b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	40.9b	(+.f64 (/.f64 (/.f64 a k) k) (*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
	27.6b	(.f64 (/.f64 1 (hypot.f64 k (sqrt.f64 (fma.f64 k 10 1)))) (/.f64 (.f64 a (fma.f64 (log.f64 k) m 1)) (hypot.f64 k (sqrt.f64 (fma.f64 k 10 1)))))
	40.7b	(*.f64 (/.f64 a k) (/.f64 1 k))
▶	38.0b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
	21.0b	(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
▶	46.3b	(+.f64 a (.f64 -10 (.f64 k a)))
	37.3b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k 10))))

Compiler

Compiled 523 to 375 computations (28.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 12 computations (61.3% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`pow1_binary64`
722×	`add-log-exp_binary64`
721×	`log1p-expm1-u_binary64`
721×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	190	16
2	2098	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

483×	`distribute-rgt-in_binary64`
454×	`distribute-lft-in_binary64`
443×	`fma-neg_binary64`
333×	`associate-l_binary64`
320×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	782
1	203	769
2	649	743
3	3276	691

Stop Event

1×	node limit

Counts

128 → 77

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (/.f64 1/10 k))
✓	0.3b	(/.f64 1/10 k)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	k	@	inf	(/.f64 1/10 k)
1.0ms	a	@	0	(*.f64 a (/.f64 1/10 k))
1.0ms	a	@	inf	(*.f64 a (/.f64 1/10 k))
1.0ms	k	@	inf	(*.f64 a (/.f64 1/10 k))
1.0ms	k	@	0	(*.f64 a (/.f64 1/10 k))

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
574×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	128	11
2	1559	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

64 → 41

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series5.0ms (0%)

Counts

2 → 15

Calls

12 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

65 → 55

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
✓	9.6b	(/.f64 a (*.f64 k k))

Compiler

Compiled 30 to 12 computations (60% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify199.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

162 → 72

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 k (*.f64 (pow.f64 k m) a))
	0.0b	(*.f64 (pow.f64 k m) a)
✓	0.1b	(.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)
✓	0.2b	(/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k))

Compiler

Compiled 42 to 10 computations (76.2% saved)

series29.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	k	@	-inf	(/.f64 k (*.f64 (pow.f64 k m) a))
5.0ms	k	@	inf	(/.f64 k (*.f64 (pow.f64 k m) a))
4.0ms	k	@	0	(/.f64 k (*.f64 (pow.f64 k m) a))
1.0ms	m	@	0	(/.f64 k (*.f64 (pow.f64 k m) a))
1.0ms	m	@	0	(.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
338×	`pow-prod-down_binary64`
271×	`pow2_binary64`
257×	`pow-unpow_binary64`
203×	`pow-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	212	36
2	2864	33

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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

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

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

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

469×	`fma-def_binary64`
332×	`associate-/l*_binary64`
312×	`*-commutative_binary64`
310×	`unsub-neg_binary64`
305×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1668
1	365	1634
2	1506	1603
3	7092	1570

Stop Event

1×	node limit

Counts

244 → 171

Calls

Call 1

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

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

eval152.0ms (1.3%)

Compiler: Compiled 6696 to 3725 computations (44.4% saved)

prune81.0ms (0.7%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	450	10	460
Fresh	5	8	13
Picked	1	0	1
Done	3	6	9
Total	459	24	483

Error

Counts

483 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	17.5b	(/.f64 1 (/.f64 (pow.f64 k (neg.f64 m)) a))
	40.7b	(*.f64 (/.f64 a k) (/.f64 1 k))
	20.7b	(*.f64 (/.f64 (pow.f64 k m) (/.f64 k a)) (/.f64 1 k))
	38.2b	(.f64 a (/.f64 1 (.f64 k k)))
✓	20.9b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	25.9b	(/.f64 (.f64 a (pow.f64 k m)) (.f64 k k))
	40.8b	(-.f64 (+.f64 1 (*.f64 (/.f64 1/10 k) a)) 1)
	38.2b	(/.f64 a (*.f64 k k))
✓	17.4b	(*.f64 (pow.f64 k m) a)
	27.9b	(/.f64 1 (+.f64 (/.f64 (.f64 k (+.f64 k 10)) a) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 k) (.f64 m (+.f64 1 (*.f64 k (+.f64 k 10))))) a)) (/.f64 1 a))))
	45.7b	a
	40.8b	(/.f64 1 (/.f64 k (/.f64 a k)))
	38.3b	(*.f64 a (-.f64 (+.f64 1 (/.f64 1/10 k)) 1))
	58.9b	(.f64 -10 (.f64 k a))
	37.3b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k 10))))
✓	37.3b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	40.9b	(+.f64 (/.f64 (/.f64 a k) k) (*.f64 (/.f64 a (pow.f64 k 3)) (-.f64 -10 (/.f64 -99 k))))
	40.8b	(/.f64 1 (*.f64 (/.f64 k a) k))
✓	53.4b	(*.f64 a (/.f64 1/10 k))
✓	40.7b	(/.f64 (/.f64 a k) k)
✓	46.3b	(+.f64 a (.f64 -10 (.f64 k a)))
	21.8b	(/.f64 a (+.f64 1 (*.f64 k k)))
	58.9b	(.f64 a (.f64 -10 k))
	45.8b	(/.f64 1 (/.f64 1 a))

Compiler

Compiled 268 to 194 computations (27.6% saved)

regimes290.0ms (2.4%)

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

83.0ms	k
67.0ms	m
37.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
28.0ms	a

Results

Error	Segments	Branch
1.4b	1	`a`
0.1b	2	`k`
0.1b	3	`m`
0.1b	3	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 482 to 273 computations (43.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	2.434289e-317
0.0ms	-9.72885579260737e-303	0.0

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes258.0ms (2.1%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	a
89.0ms	k
67.0ms	m

Results

Error	Segments	Branch
7.4b	5	`a`
0.7b	2	`k`
1.5b	3	`m`

Compiler

Compiled 281 to 156 computations (44.5% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	0.2663834401465499	439.76565772987067

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes217.0ms (1.8%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

3 calls:

107.0ms	a
53.0ms	m
48.0ms	k

Results

Error	Segments	Branch
9.8b	7	`a`
1.0b	2	`k`
1.5b	3	`m`

Compiler

Compiled 259 to 144 computations (44.4% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	0.2663834401465499	439.76565772987067

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes214.0ms (1.8%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

3 calls:

110.0ms	a
50.0ms	k
47.0ms	m

Results

Error	Segments	Branch
11.6b	7	`a`
2.3b	2	`k`
1.7b	3	`m`

Compiler

Compiled 237 to 136 computations (42.6% saved)

bsearch125.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	1.5586813776177967e-6	17.24156839057312
81.0ms	-1.471040024781406e-13	-3.539451451942236e-14

Compiler

Compiled 378 to 281 computations (25.7% saved)

regimes367.0ms (3%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

3 calls:

139.0ms	k
130.0ms	a
91.0ms	m

Results

Error	Segments	Branch
11.6b	7	`a`
2.7b	4	`k`
1.7b	3	`m`

Compiler

Compiled 219 to 130 computations (40.6% saved)

bsearch93.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.5586813776177967e-6	17.24156839057312
50.0ms	-1.471040024781406e-13	-3.539451451942236e-14

Compiler

Compiled 354 to 257 computations (27.4% saved)

regimes149.0ms (1.2%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	m
64.0ms	k
14.0ms	a

Results

Error	Segments	Branch
20.9b	1	`a`
17.0b	3	`k`
13.6b	3	`m`

Compiler

Compiled 191 to 116 computations (39.3% saved)

bsearch127.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
93.0ms	1.5586813776177967e-6	17.24156839057312
34.0ms	-1133643108540003200.0	-29920251765312836.0

Compiler

Compiled 404 to 317 computations (21.5% saved)

regimes135.0ms (1.1%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

70.0ms	m
40.0ms	k
19.0ms	a

Results

Error	Segments	Branch
21.8b	1	`a`
17.9b	3	`k`
14.5b	3	`m`

Compiler

Compiled 149 to 87 computations (41.6% saved)

bsearch123.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	1.5586813776177967e-6	17.24156839057312
39.0ms	-1133643108540003200.0	-29920251765312836.0

Compiler

Compiled 372 to 285 computations (23.4% saved)

regimes85.0ms (0.7%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	k
25.0ms	m
15.0ms	a

Results

Error	Segments	Branch
21.8b	1	`a`
18.4b	4	`k`
18.3b	2	`m`

Compiler

Compiled 113 to 63 computations (44.2% saved)

bsearch106.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
106.0ms	1.5586813776177967e-6	17.24156839057312

Compiler

Compiled 204 to 152 computations (25.5% saved)

regimes228.0ms (1.9%)

Counts

16 → 4

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	m
76.0ms	a
65.0ms	k

Results

Error	Segments	Branch
31.4b	5	`a`
19.4b	4	`k`
25.4b	5	`m`

Compiler

Compiled 97 to 53 computations (45.4% saved)

bsearch189.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
105.0ms	0.2663834401465499	439.76565772987067
29.0ms	-2.8729657895929488e-307	3.8379841378979e-310
55.0ms	-9.095505605130492e+49	-0.0008631733278364219

Compiler

Compiled 540 to 405 computations (25% saved)

regimes124.0ms (1%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	m
38.0ms	a
31.0ms	k

Results

Error	Segments	Branch
35.6b	4	`a`
19.5b	4	`k`
27.9b	6	`m`

Compiler

Compiled 83 to 45 computations (45.8% saved)

bsearch157.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
93.0ms	0.0013854043598042782	0.2663834401465499
16.0ms	-2.8729657895929488e-307	3.8379841378979e-310
48.0ms	-9.095505605130492e+49	-0.0008631733278364219

Compiler

Compiled 520 to 376 computations (27.7% saved)

regimes190.0ms (1.6%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	k
62.0ms	a
45.0ms	m

Results

Error	Segments	Branch
35.6b	4	`a`
19.6b	4	`k`
27.9b	6	`m`

Compiler

Compiled 76 to 42 computations (44.7% saved)

bsearch123.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
77.0ms	0.2663834401465499	439.76565772987067
15.0ms	-2.8729657895929488e-307	3.8379841378979e-310
31.0ms	-9.095505605130492e+49	-0.0008631733278364219

Compiler

Compiled 450 to 330 computations (26.7% saved)

regimes75.0ms (0.6%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	m
21.0ms	k
15.0ms	a

Results

Error	Segments	Branch
36.7b	3	`a`
20.0b	4	`k`
28.1b	6	`m`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch165.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
114.0ms	0.2663834401465499	439.76565772987067
19.0ms	-2.8729657895929488e-307	3.8379841378979e-310
33.0ms	-9.095505605130492e+49	-0.0008631733278364219

Compiler

Compiled 450 to 330 computations (26.7% saved)

regimes54.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	m
9.0ms	k
7.0ms	a

Results

Error	Segments	Branch
45.7b	1	`a`
44.1b	2	`k`
42.3b	2	`m`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	1.5586813776177967e-6	17.24156839057312

Compiler

Compiled 150 to 116 computations (22.7% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
a
a
a

Outputs
a

Calls

3 calls:

5.0ms	k
4.0ms	m
4.0ms	a

Results

Error	Segments	Branch
45.7b	1	`a`
45.7b	1	`k`
45.7b	1	`m`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	568
1	112	568
2	113	568

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) -3860516611238682/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) 0) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))))
(if (<=.f64 k 1) (.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 10 k)))) (*.f64 (/.f64 (pow.f64 k m) (/.f64 k a)) (/.f64 1 k)))
(if (<=.f64 k 1) (.f64 (pow.f64 k m) a) (.f64 (/.f64 (pow.f64 k m) (/.f64 k a)) (/.f64 1 k)))
(if (<=.f64 m -11488083564568328/79228162514264337593543950336) (/.f64 1 (/.f64 1 (.f64 (pow.f64 k m) a))) (if (<=.f64 m 17) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -11488083564568328/79228162514264337593543950336) (.f64 (pow.f64 k m) a) (if (<=.f64 m 17) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -1120000000000000000) (.f64 a (-.f64 (+.f64 1 (/.f64 1/10 k)) 1)) (if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (.f64 k a))))
(if (<=.f64 m -1120000000000000000) (.f64 a (-.f64 (+.f64 1 (/.f64 1/10 k)) 1)) (if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 -10 (.f64 k a))))
(if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 -10 (*.f64 k a)))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 k a)) (if (<=.f64 k 430) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 k a)) (if (<=.f64 k 25825441703193372/18446744073709551616) (+.f64 a (.f64 -10 (*.f64 k a))) (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (*.f64 k a)) (if (<=.f64 k 430) a (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 k a)) (if (<=.f64 k 430) a (/.f64 a (.f64 k k)))))
(if (<=.f64 m 17) a (.f64 -10 (.f64 k a)))
a

Outputs
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) -3860516611238682/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))) 0) (/.f64 1 (.f64 (/.f64 k (.f64 (pow.f64 k m) a)) k)) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))))
(if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) -1930258305619341/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) (if (<=.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k))) 0) (/.f64 1 (.f64 k (/.f64 k (.f64 a (pow.f64 k m))))) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (.f64 k k)))))
(if (<=.f64 k 1) (.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 10 k)))) (*.f64 (/.f64 (pow.f64 k m) (/.f64 k a)) (/.f64 1 k)))
(if (<=.f64 k 1) (.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k 10)))) (*.f64 (/.f64 (pow.f64 k m) (/.f64 k a)) (/.f64 1 k)))
(if (<=.f64 k 1) (.f64 (pow.f64 k m) a) (.f64 (/.f64 (pow.f64 k m) (/.f64 k a)) (/.f64 1 k)))
(if (<=.f64 k 1) (.f64 a (pow.f64 k m)) (.f64 (/.f64 (pow.f64 k m) (/.f64 k a)) (/.f64 1 k)))
(if (<=.f64 m -11488083564568328/79228162514264337593543950336) (/.f64 1 (/.f64 1 (.f64 (pow.f64 k m) a))) (if (<=.f64 m 17) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -1436010445571041/9903520314283042199192993792) (/.f64 1 (/.f64 1 (.f64 a (pow.f64 k m)))) (if (<=.f64 m 17) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 a (pow.f64 k m))))
(if (<=.f64 m -11488083564568328/79228162514264337593543950336) (.f64 (pow.f64 k m) a) (if (<=.f64 m 17) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -1436010445571041/9903520314283042199192993792) (.f64 a (pow.f64 k m)) (if (<=.f64 m 17) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 a (pow.f64 k m))))
(if (<=.f64 m -1120000000000000000) (.f64 a (-.f64 (+.f64 1 (/.f64 1/10 k)) 1)) (if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (.f64 k a))))
(if (<=.f64 m -1120000000000000000) (.f64 a (+.f64 (+.f64 1 (/.f64 1/10 k)) -1)) (if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (.f64 a k))))
(if (<=.f64 m -1120000000000000000) (.f64 a (-.f64 (+.f64 1 (/.f64 1/10 k)) 1)) (if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 -10 (.f64 k a))))
(if (<=.f64 m -1120000000000000000) (.f64 a (+.f64 (+.f64 1 (/.f64 1/10 k)) -1)) (if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 -10 (.f64 a k))))
(if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 -10 (*.f64 k a)))
(if (<=.f64 m 944473296573929/590295810358705651712) (/.f64 a (+.f64 1 (.f64 k k))) (.f64 -10 (*.f64 a k)))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 k a)) (if (<=.f64 k 430) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 a k)) (if (<=.f64 k 430) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 k a)) (if (<=.f64 k 25825441703193372/18446744073709551616) (+.f64 a (.f64 -10 (*.f64 k a))) (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 a k)) (if (<=.f64 k 6456360425798343/4611686018427387904) (+.f64 a (.f64 -10 (*.f64 a k))) (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (*.f64 k a)) (if (<=.f64 k 430) a (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (*.f64 a k)) (if (<=.f64 k 430) a (/.f64 (/.f64 a k) k))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 k a)) (if (<=.f64 k 430) a (/.f64 a (.f64 k k)))))
(if (<=.f64 k -89999999999999996482199139913043045904475815411712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7210580274072941/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848) (.f64 -10 (.f64 a k)) (if (<=.f64 k 430) a (/.f64 a (.f64 k k)))))
(if (<=.f64 m 17) a (.f64 -10 (.f64 k a)))
(if (<=.f64 m 17) a (.f64 -10 (.f64 a k)))
a

Compiler

Compiled 434 to 264 computations (39.2% saved)

soundness246.0ms (2%)

Algorithm

2×	egg-herbie

Rules

869×	`fma-def_binary64`
601×	`associate-l_binary64`
535×	`*-commutative_binary64`
516×	`pow-sqr_binary64`
506×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	18
2	56	17
3	111	17
4	285	17
5	914	17
6	2898	17
7	4370	17
8	4462	17
9	4626	17
10	4845	17
11	5231	17
12	5854	17
13	7207	17
0	165	2457
1	545	2212
2	2048	1866

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 321 to 224 computations (30.2% saved)

end205.0ms (1.7%)

Compiler: Compiled 395 to 196 computations (50.4% saved)

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

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

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