Details

analyze455.0ms (3.7%)

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)

sample2.1s (16.8%)

Results

1.2s	8256×	body	256	valid
849.0ms	6198×	body	256	invalid

preprocess90.0ms (0.7%)

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)

simplify96.0ms (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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
▶	1.2b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	1.2b	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series53.0ms (0.4%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	a	@	0	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
4.0ms	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)))
1.0ms	m	@	inf	(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	236	31
2	3052	31

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

Outputs

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

133 → 141

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (pow.f64 k m))
✓	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	1.2b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 51 to 25 computations (51% saved)

series44.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	k	@	-inf	(*.f64 a (pow.f64 k m))
12.0ms	k	@	0	(*.f64 a (pow.f64 k m))
7.0ms	k	@	inf	(*.f64 a (pow.f64 k m))
2.0ms	a	@	0	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
1.0ms	m	@	inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite85.0ms (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 (+.f64 1 (.f64 10 k)) (.f64 k k))
(*.f64 a (pow.f64 k m))

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

Outputs

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

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1804
1	378	1619
2	1394	1307
3	7249	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))))
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)))
(.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)

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

eval130.0ms (1.1%)

Compiler: Compiled 7952 to 4647 computations (41.6% saved)

prune61.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	319	11	330
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	321	11	332

Error

1.1b

Counts

332 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
	1.2b	(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))
	21.7b	(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
▶	21.6b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	1.7b	(.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))))
▶	1.2b	(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
▶	21.6b	(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
▶	1.2b	(*.f64 a (expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))
	20.3b	(.f64 (.f64 (pow.f64 k m) a) (-.f64 (fma.f64 k -10 1) (.f64 k (.f64 k -99))))
	13.9b	(.f64 (.f64 (pow.f64 k m) a) (fma.f64 k -10 1))
	13.7b	(*.f64 (pow.f64 k m) a)

Compiler

Compiled 352 to 244 computations (30.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))
	0.0b	(/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))
✓	1.2b	(*.f64 a (expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))

Compiler

Compiled 67 to 38 computations (43.3% saved)

series94.0ms (0.8%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
43.0ms	m	@	inf	(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
19.0ms	k	@	inf	(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
17.0ms	m	@	-inf	(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
5.0ms	k	@	0	(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
2.0ms	m	@	0	(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

rewrite108.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary64`
355×	`pow-prod-down_binary64`
328×	`pow2_binary64`
290×	`prod-diff_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	255	47
2	3199	47

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

(*.f64 a (expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))

(expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))))

(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

Outputs

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

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

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

915×	`associate-/l*_binary64`
571×	`distribute-rgt-in_binary64`
552×	`distribute-lft-in_binary64`
294×	`fma-def_binary64`
237×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	3858
1	936	3437
2	3649	2753

Stop Event

1×	node limit

Counts

183 → 192

Calls

Call 1

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

Outputs
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
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(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(/.f64 (pow.f64 k m) (/.f64 (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 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
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(/.f64 (pow.f64 k m) (/.f64 (fma.f64 k (+.f64 k 10) 1) a))
(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 k) m)) a) (+.f64 1 (*.f64 k (+.f64 k 10))))
(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
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(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
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(/.f64 (pow.f64 k m) (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
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(*.f64 (/.f64 a (fma.f64 k (+.f64 k 10) 1)) (pow.f64 k m))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
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(fma.f64 -10 (.f64 k (.f64 (pow.f64 k m) a)) (*.f64 (pow.f64 k m) a))
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(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(log.f64 (+.f64 1 (/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(log1p.f64 (/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10)))))
(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(log.f64 (+.f64 1 (/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(log1p.f64 (/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10)))))
(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(log.f64 (+.f64 1 (/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(log1p.f64 (/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10)))))
(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(log.f64 (+.f64 1 (/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(log1p.f64 (/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10)))))
(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(log.f64 (+.f64 1 (/.f64 (exp.f64 (.f64 (log.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))))
(log1p.f64 (/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10)))))
(log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 k (+.f64 k 10))
✓	4.0b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite65.0ms (0.5%)

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))))))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

124 → 122

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	4.0b	(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`prod-diff_binary64`
500×	`log-prod_binary64`
495×	`fma-def_binary64`
203×	`fma-neg_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	220	12
2	3084	11

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	484
1	174	414
2	674	367
3	2832	352

Stop Event

1×	node limit

Counts

64 → 58

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	7.3b	(/.f64 a (*.f64 k k))
✓	7.6b	(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series31.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
1.0ms	k	@	0	(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
1.0ms	m	@	0	(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
1.0ms	a	@	-inf	(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
1.0ms	m	@	inf	(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
845×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
822×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	171	20
2	2311	20

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	735
1	138	735
2	419	729
3	2312	711
4	7564	711

Stop Event

1×	node limit

Counts

116 → 68

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (pow.f64 k m))
✓	0.1b	(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
✓	1.2b	(/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m)))

Compiler

Compiled 51 to 25 computations (51% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 k (+.f64 k 10) 1) (/.f64 (pow.f64 k (neg.f64 m)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 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simplify69.0ms (0.6%)

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)))
(+.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 (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)))
(+.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 (.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)))
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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))

eval451.0ms (3.7%)

Compiler: Compiled 17869 to 11209 computations (37.3% saved)

prune201.0ms (1.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	780	11	791
Fresh	5	1	6
Picked	1	0	1
Done	2	2	4
Total	788	14	802

Error

Counts

802 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	42.1b	(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
✓	21.6b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	28.9b	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
	29.6b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m))) -2)
▶	42.1b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	21.6b	(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
	41.7b	a
	22.1b	(/.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))))
▶	43.0b	(/.f64 a (*.f64 k k))
▶	21.5b	(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
	42.2b	(/.f64 a (*.f64 k (+.f64 k 10)))
▶	33.7b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	44.6b	(/.f64 (/.f64 a k) k)
▶	13.7b	(*.f64 (pow.f64 k m) a)

Compiler

Compiled 320 to 226 computations (29.4% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(*.f64 (pow.f64 k m) a)
0.0ms	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)

rewrite56.0ms (0.5%)

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)))))))

simplify49.0ms (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)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	7.3b	(/.f64 a (*.f64 k k))

Compiler

Compiled 13 to 5 computations (61.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 -10 (.f64 k a))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series51.0ms (0.4%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	a	@	-inf	(.f64 -10 (.f64 k a))
1.0ms	k	@	0	(.f64 -10 (.f64 k a))
1.0ms	a	@	0	(.f64 -10 (.f64 k a))
1.0ms	a	@	inf	(.f64 -10 (.f64 k a))
1.0ms	k	@	inf	(.f64 -10 (.f64 k a))

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.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	k	@	-inf	(/.f64 a (+.f64 1 (*.f64 k 10)))
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)))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	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))))))))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	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))))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 k (+.f64 k 10))
✓	0.4b	(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
✓	3.9b	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a)

Compiler

Compiled 42 to 29 computations (31% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
515×	`prod-diff_binary64`
360×	`fma-def_binary64`
286×	`pow2_binary64`
197×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	229	22
2	3201	22

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	629
1	190	567
2	704	544
3	2873	497

Stop Event

1×	node limit

Counts

127 → 118

Calls

Call 1

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

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

eval152.0ms (1.2%)

Compiler: Compiled 4018 to 2690 computations (33.1% saved)

prune99.0ms (0.8%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	287	7	294
Fresh	3	4	7
Picked	1	0	1
Done	0	6	6
Total	291	17	308

Error

Counts

308 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.1b	(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
▶	42.1b	(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
✓	21.6b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	28.9b	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
✓	42.1b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	21.6b	(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
▶	41.7b	(/.f64 1 (/.f64 1 a))
✓	43.0b	(/.f64 a (*.f64 k k))
	41.7b	a
	41.3b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a)) -2)
▶	44.6b	(*.f64 (/.f64 a k) (/.f64 1 k))
	44.3b	(/.f64 1 (*.f64 (/.f64 k a) k))
✓	33.7b	(/.f64 a (+.f64 1 (*.f64 k 10)))
	40.5b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
▶	42.2b	(/.f64 a (*.f64 k (+.f64 k 10)))
	44.6b	(/.f64 (/.f64 a k) k)
✓	13.7b	(*.f64 (pow.f64 k m) a)

Compiler

Compiled 294 to 211 computations (28.2% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k)))
✓	0.2b	(*.f64 (/.f64 k a) (+.f64 10 k))
✓	0.4b	(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	k	@	inf	(+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k)))
1.0ms	a	@	-inf	(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
1.0ms	a	@	0	(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
1.0ms	a	@	inf	(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
0.0ms	k	@	-inf	(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
425×	`fma-def_binary64`
329×	`pow2_binary64`
228×	`pow1/3_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	255	41
2	3812	41

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
522×	`times-frac_binary64`
409×	`associate-/l*_binary64`
389×	`fma-def_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1100
1	217	960
2	794	845
3	3143	830

Stop Event

1×	node limit

Counts

265 → 225

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
336×	`add-sqr-sqrt_binary64`
328×	`*-un-lft-identity_binary64`
323×	`add-log-exp_binary64`
323×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	105	1
2	997	1

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

Inputs
a
a
a
a
a
a
a
a
a
a
a
a

Outputs
a
a
a
a
a
a
a
a
a
a
a
a

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 43

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 k (+.f64 k 10))
✓	4.1b	(/.f64 a (*.f64 k (+.f64 k 10)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
868×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	161	10
2	2307	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1013×	`fma-def_binary64`
740×	`associate-/l*_binary64`
577×	`associate-/l/_binary64`
416×	`associate-*l/_binary64`
267×	`associate-*r/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	42	252
1	108	242
2	271	227
3	730	219
4	2301	207
5	6674	207
6	6983	203
7	7199	203
8	7444	203
9	7724	203

Stop Event

1×	node limit

Counts

52 → 56

Calls

Call 1

Inputs
(*.f64 1/10 (/.f64 a k))
(+.f64 (.f64 1/10 (/.f64 a k)) (.f64 -1/100 a))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/100 a) (.f64 1/1000 (.f64 k a))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/10000 (.f64 (pow.f64 k 2) a)) (+.f64 (.f64 -1/100 a) (.f64 1/1000 (.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 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))
(+.f64 (.f64 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (*.f64 -1000 (/.f64 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 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))
(+.f64 (.f64 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (*.f64 -1000 (/.f64 a (pow.f64 k 5))))))

Outputs
(*.f64 1/10 (/.f64 a k))
(/.f64 (*.f64 1/10 a) k)
(/.f64 1/10 (/.f64 k a))
(+.f64 (.f64 1/10 (/.f64 a k)) (.f64 -1/100 a))
(fma.f64 1/10 (/.f64 a k) (*.f64 a -1/100))
(*.f64 a (+.f64 (/.f64 1/10 k) -1/100))
(*.f64 a (+.f64 -1/100 (/.f64 1/10 k)))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/100 a) (.f64 1/1000 (.f64 k a))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/100 a (.f64 1/1000 (.f64 a k))))
(fma.f64 1/10 (/.f64 a k) (.f64 a (+.f64 -1/100 (.f64 k 1/1000))))
(fma.f64 a (fma.f64 k 1/1000 -1/100) (*.f64 1/10 (/.f64 a k)))
(*.f64 a (+.f64 (/.f64 1/10 k) (fma.f64 k 1/1000 -1/100)))
(*.f64 a (+.f64 -1/100 (fma.f64 k 1/1000 (/.f64 1/10 k))))
(+.f64 (.f64 1/10 (/.f64 a k)) (+.f64 (.f64 -1/10000 (.f64 (pow.f64 k 2) a)) (+.f64 (.f64 -1/100 a) (.f64 1/1000 (.f64 k a)))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/10000 (.f64 a (.f64 k k)) (fma.f64 -1/100 a (.f64 1/1000 (.f64 a k)))))
(fma.f64 1/10 (/.f64 a k) (fma.f64 -1/10000 (.f64 k (.f64 a k)) (.f64 a (+.f64 -1/100 (.f64 k 1/1000)))))
(fma.f64 1/10 (/.f64 a k) (.f64 a (+.f64 (fma.f64 k 1/1000 -1/100) (.f64 k (*.f64 k -1/10000)))))
(fma.f64 a (fma.f64 k (*.f64 k -1/10000) (fma.f64 k 1/1000 -1/100)) (/.f64 1/10 (/.f64 k a)))
(*.f64 a (+.f64 (/.f64 1/10 k) (fma.f64 k (fma.f64 k -1/10000 1/1000) -1/100)))
(*.f64 a (+.f64 (fma.f64 k (fma.f64 k -1/10000 1/1000) -1/100) (/.f64 1/10 k)))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (.f64 k k)) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(.f64 (/.f64 a (.f64 k k)) (+.f64 1 (/.f64 -10 k)))
(/.f64 (+.f64 a (/.f64 a (/.f64 k -10))) (*.f64 k k))
(+.f64 (.f64 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k))))
(.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 -10 k) (+.f64 1 (/.f64 100 (*.f64 k k)))))
(fma.f64 (/.f64 a (pow.f64 k 3)) (+.f64 -10 (/.f64 100 k)) (/.f64 a (*.f64 k k)))
(/.f64 (+.f64 a (.f64 (/.f64 a k) (+.f64 -10 (/.f64 100 k)))) (.f64 k k))
(+.f64 (.f64 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (*.f64 -1000 (/.f64 a (pow.f64 k 5))))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (.f64 -1000 (/.f64 a (pow.f64 k 5))))))
(+.f64 (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (.f64 a -1000) (pow.f64 k 5))) (fma.f64 100 (/.f64 a (pow.f64 k 4)) (/.f64 a (.f64 k k))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (fma.f64 -1000 (/.f64 a (pow.f64 k 5)) (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))))
(fma.f64 -1000 (/.f64 a (pow.f64 k 5)) (.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 -10 k) (+.f64 1 (/.f64 100 (*.f64 k k))))))
(fma.f64 a (/.f64 -1000 (pow.f64 k 5)) (fma.f64 (/.f64 a (pow.f64 k 3)) (+.f64 -10 (/.f64 100 k)) (/.f64 a (*.f64 k k))))
(fma.f64 a (/.f64 -1000 (pow.f64 k 5)) (/.f64 (+.f64 a (.f64 (/.f64 a k) (+.f64 -10 (/.f64 100 k)))) (.f64 k k)))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(+.f64 (/.f64 a (pow.f64 k 2)) (*.f64 -10 (/.f64 a (pow.f64 k 3))))
(+.f64 (/.f64 a (.f64 k k)) (.f64 -10 (/.f64 a (pow.f64 k 3))))
(fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k)))
(.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))
(.f64 (/.f64 a (.f64 k k)) (+.f64 1 (/.f64 -10 k)))
(/.f64 (+.f64 a (/.f64 a (/.f64 k -10))) (*.f64 k k))
(+.f64 (.f64 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (.f64 -10 (/.f64 a (pow.f64 k 3)))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 a (*.f64 k k))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k))))
(.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 -10 k) (+.f64 1 (/.f64 100 (*.f64 k k)))))
(fma.f64 (/.f64 a (pow.f64 k 3)) (+.f64 -10 (/.f64 100 k)) (/.f64 a (*.f64 k k)))
(/.f64 (+.f64 a (.f64 (/.f64 a k) (+.f64 -10 (/.f64 100 k)))) (.f64 k k))
(+.f64 (.f64 100 (/.f64 a (pow.f64 k 4))) (+.f64 (/.f64 a (pow.f64 k 2)) (+.f64 (.f64 -10 (/.f64 a (pow.f64 k 3))) (*.f64 -1000 (/.f64 a (pow.f64 k 5))))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (+.f64 (/.f64 a (.f64 k k)) (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (.f64 -1000 (/.f64 a (pow.f64 k 5))))))
(+.f64 (fma.f64 -10 (/.f64 a (pow.f64 k 3)) (/.f64 (.f64 a -1000) (pow.f64 k 5))) (fma.f64 100 (/.f64 a (pow.f64 k 4)) (/.f64 a (.f64 k k))))
(fma.f64 100 (/.f64 a (pow.f64 k 4)) (fma.f64 -1000 (/.f64 a (pow.f64 k 5)) (.f64 (+.f64 (/.f64 -10 k) 1) (/.f64 a (.f64 k k)))))
(fma.f64 -1000 (/.f64 a (pow.f64 k 5)) (.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 -10 k) (+.f64 1 (/.f64 100 (*.f64 k k))))))
(fma.f64 a (/.f64 -1000 (pow.f64 k 5)) (fma.f64 (/.f64 a (pow.f64 k 3)) (+.f64 -10 (/.f64 100 k)) (/.f64 a (*.f64 k k))))
(fma.f64 a (/.f64 -1000 (pow.f64 k 5)) (/.f64 (+.f64 a (.f64 (/.f64 a k) (+.f64 -10 (/.f64 100 k)))) (.f64 k k)))

localize35.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`log-prod_binary64`
361×	`prod-exp_binary64`
353×	`exp-prod_binary64`
308×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	198	13
2	2489	11

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 k (fma.f64 k 99 -10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -10 (*.f64 a k)) (*.f64 (*.f64 k 99) (*.f64 a k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a k) -10) (*.f64 (*.f64 a k) (*.f64 k 99)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 k) (fma.f64 k 99 -10)) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 k) (fma.f64 k 99 -10)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 k) (fma.f64 k 99 -10)) a))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 k) (fma.f64 k 99 -10)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1000 (pow.f64 (*.f64 k -99) 3)) (*.f64 a k)) (fma.f64 (*.f64 k -99) (fma.f64 k -99 -10) 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 100 (pow.f64 (*.f64 k -99) 2)) (*.f64 a k)) (fma.f64 k -99 -10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a k) (-.f64 -1000 (pow.f64 (*.f64 k -99) 3))) (fma.f64 (*.f64 k -99) (fma.f64 k -99 -10) 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a k) (-.f64 100 (pow.f64 (*.f64 k -99) 2))) (fma.f64 k -99 -10))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))))) 2)) (cbrt.f64 (log.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))))) (sqrt.f64 (log.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 k) (fma.f64 k 99 -10)) a))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 k (fma.f64 k 99 -10))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a k) -10 (*.f64 (*.f64 a k) (*.f64 k 99)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -10 (*.f64 a k) (*.f64 (*.f64 k 99) (*.f64 a k)))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
595×	`fma-neg_binary64`
517×	`unswap-sqr_binary64`
333×	`distribute-rgt-neg-out_binary64`
320×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	342
1	45	300
2	126	300
3	439	258
4	1383	258
5	2581	258
6	4377	258
7	6095	258

Stop Event

1×	node limit

Counts

53 → 36

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -1 (.f64 k (.f64 (+.f64 10 (.f64 -99 k)) a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 -10 (.f64 k a))
(.f64 k (.f64 a -10))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 99 (.f64 (pow.f64 k 2) a))
(.f64 99 (.f64 a (*.f64 k k)))
(.f64 k (.f64 (*.f64 k a) 99))
(.f64 k (.f64 k (*.f64 a 99)))
(.f64 a (.f64 99 (*.f64 k k)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(.f64 99 (.f64 (pow.f64 k 2) a))
(.f64 99 (.f64 a (*.f64 k k)))
(.f64 k (.f64 (*.f64 k a) 99))
(.f64 k (.f64 k (*.f64 a 99)))
(.f64 a (.f64 99 (*.f64 k k)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))
(+.f64 (.f64 99 (.f64 (pow.f64 k 2) a)) (.f64 -10 (.f64 k a)))
(neg.f64 (.f64 k (.f64 (+.f64 10 (*.f64 k -99)) a)))
(.f64 k (neg.f64 (.f64 (fma.f64 k -99 10) a)))
(.f64 k (.f64 (fma.f64 k -99 10) (neg.f64 a)))
(.f64 k (.f64 (fma.f64 k 99 -10) a))
(.f64 k (.f64 a (fma.f64 k 99 -10)))

eval229.0ms (1.9%)

Compiler: Compiled 6903 to 4194 computations (39.2% saved)

prune669.0ms (5.4%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	461	8	469
Fresh	3	3	6
Picked	0	1	1
Done	1	9	10
Total	465	21	486

Error

Counts

486 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	20.4b	(/.f64 1 (+.f64 (/.f64 1 a) (/.f64 (.f64 (/.f64 k a) (-.f64 100 (.f64 k k))) (-.f64 10 k))))
	41.3b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a)) -2)
✓	23.1b	(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
✓	42.1b	(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
✓	21.6b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	28.9b	(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
	44.3b	(/.f64 1 (/.f64 k (/.f64 a k)))
	40.5b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
✓	41.7b	(/.f64 1 (/.f64 1 a))
	44.3b	(/.f64 1 (*.f64 (/.f64 k a) k))
✓	43.0b	(/.f64 a (*.f64 k k))
	44.6b	(/.f64 (/.f64 a k) k)
	31.8b	(-.f64 (+.f64 1 a) 1)
	41.7b	a
✓	13.7b	(*.f64 (pow.f64 k m) a)
	31.8b	(/.f64 1 (/.f64 (+.f64 a (.f64 a (.f64 k (+.f64 k 10)))) (*.f64 a a)))
✓	44.6b	(*.f64 (/.f64 a k) (/.f64 1 k))
✓	33.7b	(/.f64 a (+.f64 1 (*.f64 k 10)))
✓	42.1b	(+.f64 a (.f64 -10 (.f64 k a)))
✓	42.2b	(/.f64 a (*.f64 k (+.f64 k 10)))
	42.2b	(/.f64 a (+.f64 (.f64 k k) (.f64 k 10)))

Compiler

Compiled 236 to 169 computations (28.4% saved)

regimes217.0ms (1.8%)

Counts

39 → 2

Calls

Call 1

Inputs
a
a
a
(/.f64 (/.f64 a k) k)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(/.f64 1 (/.f64 k (/.f64 a k)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(*.f64 (/.f64 a k) (/.f64 1 k))
(/.f64 1 (*.f64 (/.f64 k a) k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 a (*.f64 k (+.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 (.f64 k k) (.f64 k 10)))
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
(/.f64 1 (/.f64 (+.f64 a (.f64 a (.f64 k (+.f64 k 10)))) (*.f64 a a)))
(/.f64 1 (+.f64 (/.f64 1 a) (/.f64 (.f64 (/.f64 k a) (-.f64 100 (.f64 k k))) (-.f64 10 k))))
(*.f64 (pow.f64 k m) a)
(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))
(/.f64 (.f64 a (pow.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))))
(.f64 (.f64 (pow.f64 k m) a) (fma.f64 k -10 1))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))
(/.f64 1 (/.f64 (fma.f64 k (+.f64 k 10) 1) (*.f64 a (pow.f64 k m))))
(.f64 (.f64 (pow.f64 k m) a) (-.f64 (fma.f64 k -10 1) (.f64 k (.f64 k -99))))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a)) -2)
(*.f64 a (expm1.f64 (log1p.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1)))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 k (+.f64 k 10) 1) a) (pow.f64 k m))) -2)
(*.f64 a (pow.f64 (sqrt.f64 (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k 10) 1))) 2))
(.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))))

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

Calls

4 calls:

110.0ms	m
36.0ms	k
18.0ms	a
11.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Results

Error	Segments	Branch
1.2b	1	`a`
0.0b	2	`k`
0.1b	3	`m`
1.2b	1	`(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))`

Compiler

Compiled 432 to 240 computations (44.4% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	17677188082878.43	37429154944835.414

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes186.0ms (1.5%)

Counts

28 → 3

Calls

Call 1

Inputs
a
a
a
(/.f64 (/.f64 a k) k)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(/.f64 1 (/.f64 k (/.f64 a k)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(*.f64 (/.f64 a k) (/.f64 1 k))
(/.f64 1 (*.f64 (/.f64 k a) k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 a (*.f64 k (+.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 (.f64 k k) (.f64 k 10)))
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
(/.f64 1 (/.f64 (+.f64 a (.f64 a (.f64 k (+.f64 k 10)))) (*.f64 a a)))
(/.f64 1 (+.f64 (/.f64 1 a) (/.f64 (.f64 (/.f64 k a) (-.f64 100 (.f64 k k))) (-.f64 10 k))))
(*.f64 (pow.f64 k m) a)
(/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k)))
(.f64 (pow.f64 k m) (/.f64 a (.f64 k k)))

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

Calls

3 calls:

95.0ms	a
43.0ms	k
41.0ms	m

Results

Error	Segments	Branch
9.8b	5	`a`
0.9b	2	`k`
0.4b	3	`m`

Compiler

Compiled 233 to 124 computations (46.8% saved)

bsearch129.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	1.1798858010797467e-7	4.172336679318328e-7
65.0ms	-5742.353805681151	-1.1531449447093338e-6

Compiler

Compiled 414 to 302 computations (27.1% saved)

regimes241.0ms (2%)

Counts

25 → 3

Calls

Call 1

Inputs
a
a
a
(/.f64 (/.f64 a k) k)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(/.f64 a (*.f64 k k))
(/.f64 (/.f64 a k) k)
(/.f64 1 (/.f64 k (/.f64 a k)))
(/.f64 1 (*.f64 (/.f64 k a) k))
(*.f64 (/.f64 a k) (/.f64 1 k))
(/.f64 1 (*.f64 (/.f64 k a) k))
(+.f64 a (.f64 -10 (.f64 k a)))
(/.f64 a (*.f64 k (+.f64 k 10)))
(/.f64 a (+.f64 1 (*.f64 k 10)))
(/.f64 a (+.f64 (.f64 k k) (.f64 k 10)))
(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
(+.f64 a (.f64 (.f64 a k) (-.f64 -10 (*.f64 -99 k))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) a))
(.f64 a (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10)))))
(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
(/.f64 1 (+.f64 (/.f64 1 a) (*.f64 (/.f64 k a) (+.f64 10 k))))
(/.f64 1 (/.f64 (+.f64 a (.f64 a (.f64 k (+.f64 k 10)))) (*.f64 a a)))
(/.f64 1 (+.f64 (/.f64 1 a) (/.f64 (.f64 (/.f64 k a) (-.f64 100 (.f64 k k))) (-.f64 10 k))))

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

Calls

3 calls:

103.0ms	k
67.0ms	a
64.0ms	m

Results

Error	Segments	Branch
17.1b	5	`a`
15.5b	6	`k`
10.0b	3	`m`

Compiler

Compiled 210 to 120 computations (42.9% saved)

bsearch145.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
105.0ms	4.172336679318328e-7	6800208401648.48
39.0ms	-5742.353805681151	-1.1531449447093338e-6

Compiler

Compiled 584 to 457 computations (21.7% saved)

regimes179.0ms (1.5%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

85.0ms	k
54.0ms	a
35.0ms	m

Results

Error	Segments	Branch
18.2b	5	`a`
15.5b	6	`k`
11.1b	3	`m`

Compiler

Compiled 163 to 92 computations (43.6% saved)

bsearch118.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	4.172336679318328e-7	6800208401648.48
16.0ms	-3.641253885580972e+61	-1.584949732713778e+61

Compiler

Compiled 374 to 297 computations (20.6% saved)

regimes145.0ms (1.2%)

Counts

17 → 7

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	k
50.0ms	a
32.0ms	m

Results

Error	Segments	Branch
28.4b	6	`a`
15.9b	7	`k`
18.0b	3	`m`

Compiler

Compiled 110 to 57 computations (48.2% saved)

bsearch308.0ms (2.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
69.0ms	2.9119546183895197e+90	1.7008071343145848e+94
45.0ms	0.0007877271990802858	623192.4035279568
71.0ms	6.931334409674068e-224	3.31522638188447e-219
63.0ms	1.8982873583129015e-267	4.0618998801122645e-266
20.0ms	-1.0133799722486745e-277	-6.456737029037793e-279
39.0ms	-103963408.74674852	-6.674918054963306e-27

Compiler

Compiled 998 to 804 computations (19.4% saved)

regimes171.0ms (1.4%)

Counts

16 → 6

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	a
56.0ms	m
50.0ms	k

Results

Error	Segments	Branch
29.4b	4	`a`
18.6b	6	`k`
21.2b	3	`m`

Compiler

Compiled 101 to 53 computations (47.5% saved)

bsearch301.0ms (2.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
42.0ms	0.0007877271990802858	623192.4035279568
122.0ms	6.931334409674068e-224	3.31522638188447e-219
67.0ms	1.8982873583129015e-267	4.0618998801122645e-266
48.0ms	-1.0133799722486745e-277	-6.456737029037793e-279
21.0ms	-5.045882137707501e+62	-9.610798938881846e+58

Compiler

Compiled 708 to 574 computations (18.9% saved)

regimes132.0ms (1.1%)

Counts

14 → 6

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	k
37.0ms	m
23.0ms	a

Results

Error	Segments	Branch
30.4b	3	`a`
18.7b	6	`k`
24.9b	5	`m`

Compiler

Compiled 85 to 44 computations (48.2% saved)

bsearch325.0ms (2.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
111.0ms	0.0007877271990802858	623192.4035279568
97.0ms	6.931334409674068e-224	3.31522638188447e-219
67.0ms	1.8982873583129015e-267	4.0618998801122645e-266
30.0ms	-1.0133799722486745e-277	-6.456737029037793e-279
21.0ms	-5.045882137707501e+62	-9.610798938881846e+58

Compiler

Compiled 708 to 557 computations (21.3% saved)

regimes207.0ms (1.7%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

3 calls:

101.0ms	k
76.0ms	m
27.0ms	a

Results

Error	Segments	Branch
30.4b	3	`a`
18.9b	6	`k`
24.9b	5	`m`

Compiler

Compiled 78 to 40 computations (48.7% saved)

bsearch404.0ms (3.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
148.0ms	0.0007877271990802858	623192.4035279568
79.0ms	6.931334409674068e-224	3.31522638188447e-219
131.0ms	1.8982873583129015e-267	4.0618998801122645e-266
24.0ms	-1.0133799722486745e-277	-6.456737029037793e-279
21.0ms	-5.045882137707501e+62	-9.610798938881846e+58

Compiler

Compiled 690 to 539 computations (21.9% saved)

regimes101.0ms (0.8%)

Counts

12 → 6

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	k
35.0ms	m
22.0ms	a

Results

Error	Segments	Branch
30.5b	3	`a`
19.2b	6	`k`
24.9b	5	`m`

Compiler

Compiled 71 to 36 computations (49.3% saved)

bsearch300.0ms (2.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
42.0ms	0.0007877271990802858	623192.4035279568
90.0ms	6.931334409674068e-224	3.31522638188447e-219
117.0ms	1.8982873583129015e-267	4.0618998801122645e-266
29.0ms	-1.0133799722486745e-277	-6.456737029037793e-279
22.0ms	-5.045882137707501e+62	-9.610798938881846e+58

Compiler

Compiled 588 to 471 computations (19.9% saved)

regimes96.0ms (0.8%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	a
22.0ms	m
21.0ms	k

Results

Error	Segments	Branch
30.5b	3	`a`
21.4b	5	`k`
26.9b	5	`m`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch329.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
76.0ms	0.0007877271990802858	623192.4035279568
130.0ms	6.931334409674068e-224	3.31522638188447e-219
100.0ms	1.8982873583129015e-267	4.0618998801122645e-266
22.0ms	-1.0133799722486745e-277	-6.456737029037793e-279

Compiler

Compiled 444 to 359 computations (19.1% saved)

regimes115.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	k
27.0ms	a
22.0ms	m

Results

Error	Segments	Branch
35.0b	7	`a`
24.3b	3	`k`
33.9b	6	`m`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch123.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	0.0007877271990802858	623192.4035279568
53.0ms	-103963408.74674852	-6.674918054963306e-27

Compiler

Compiled 304 to 217 computations (28.6% saved)

regimes26.0ms (0.2%)

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:

9.0ms	k
7.0ms	m
7.0ms	a

Results

Error	Segments	Branch
41.7b	1	`a`
41.7b	1	`k`
41.7b	1	`m`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	627
1	126	627
2	128	627

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 k 20000000000000) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 m -5700) (.f64 (pow.f64 k m) a) (if (<=.f64 m 3872340515953109/9444732965739290427392) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 (/.f64 k a) (+.f64 10 k)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -5700) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 2) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 (/.f64 k a) (+.f64 10 k)))) (-.f64 (+.f64 1 a) 1)))
(if (<=.f64 m -36000000000000001032432256106584441327263159295473035396513792) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 2) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 a) 1)))
(if (<=.f64 k -2439144006089287/348449143727040986586495598010130648530944) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 600000) (/.f64 a (+.f64 1 (.f64 k 10))) (if (<=.f64 k 17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648) (/.f64 a (.f64 k (+.f64 k 10))) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1)))))))
(if (<=.f64 k -500000000000000028928979971363484913696689344587520219086323712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 600000) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 a (*.f64 k (+.f64 k 10))))))))
(if (<=.f64 k -500000000000000028928979971363484913696689344587520219086323712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 1) (+.f64 a (.f64 -10 (.f64 k a))) (/.f64 a (.f64 k (+.f64 k 10))))))))
(if (<=.f64 k -500000000000000028928979971363484913696689344587520219086323712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 1) (+.f64 a (.f64 -10 (.f64 k a))) (/.f64 a (.f64 k k)))))))
(if (<=.f64 k -500000000000000028928979971363484913696689344587520219086323712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 600000) a (/.f64 a (.f64 k k)))))))
(if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 600000) a (/.f64 (/.f64 a k) k)))))
(if (<=.f64 k -2439144006089287/348449143727040986586495598010130648530944) (/.f64 (/.f64 a k) k) (if (<=.f64 k 600000) a (/.f64 (/.f64 a k) k)))
a

Outputs
(if (<=.f64 k 20000000000000) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 k 20000000000000) (/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 k 10)) (*.f64 k k))) (/.f64 (pow.f64 k m) (/.f64 k (/.f64 a k))))
(if (<=.f64 m -5700) (.f64 (pow.f64 k m) a) (if (<=.f64 m 3872340515953109/9444732965739290427392) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 (/.f64 k a) (+.f64 10 k)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -5700) (.f64 a (pow.f64 k m)) (if (<=.f64 m 3872340515953109/9444732965739290427392) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 (/.f64 k a) (+.f64 k 10)))) (*.f64 a (pow.f64 k m))))
(if (<=.f64 m -5700) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 2) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 (/.f64 k a) (+.f64 10 k)))) (-.f64 (+.f64 1 a) 1)))
(if (<=.f64 m -5700) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 2) (/.f64 1 (+.f64 (/.f64 1 a) (.f64 (/.f64 k a) (+.f64 k 10)))) (+.f64 (+.f64 a 1) -1)))
(if (<=.f64 m -36000000000000001032432256106584441327263159295473035396513792) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 2) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (-.f64 (+.f64 1 a) 1)))
(if (<=.f64 m -36000000000000001032432256106584441327263159295473035396513792) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 2) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (+.f64 (+.f64 a 1) -1)))
(if (<=.f64 k -2439144006089287/348449143727040986586495598010130648530944) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 600000) (/.f64 a (+.f64 1 (.f64 k 10))) (if (<=.f64 k 17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648) (/.f64 a (.f64 k (+.f64 k 10))) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1)))))))
(if (<=.f64 k -2439144006089287/348449143727040986586495598010130648530944) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (+.f64 (+.f64 a 1) -1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (+.f64 (+.f64 a 1) -1) (if (<=.f64 k 600000) (/.f64 a (+.f64 1 (.f64 k 10))) (if (<=.f64 k 17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648) (/.f64 a (.f64 k (+.f64 k 10))) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1)))))))
(if (<=.f64 k -500000000000000028928979971363484913696689344587520219086323712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 600000) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 a (*.f64 k (+.f64 k 10))))))))
(if (<=.f64 k -500000000000000028928979971363484913696689344587520219086323712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (+.f64 (+.f64 a 1) -1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (+.f64 (+.f64 a 1) -1) (if (<=.f64 k 600000) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 a (*.f64 k (+.f64 k 10))))))))
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(if (<=.f64 k -500000000000000028928979971363484913696689344587520219086323712) (/.f64 a (.f64 k k)) (if (<=.f64 k -7983361238138879/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 8829162894086837/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) a (if (<=.f64 k 5087291284850963/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (-.f64 (+.f64 1 a) 1) (if (<=.f64 k 600000) a (/.f64 a (.f64 k k)))))))
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(if (<=.f64 k -2439144006089287/348449143727040986586495598010130648530944) (/.f64 (/.f64 a k) k) (if (<=.f64 k 600000) a (/.f64 (/.f64 a k) k)))
a

Compiler

Compiled 471 to 311 computations (34% saved)

soundness259.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

984×	`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	174	2271
1	567	2044
2	2063	1628
3	7618	1580

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 285 to 199 computations (30.2% saved)

end292.0ms (2.4%)

Compiler: Compiled 438 to 258 computations (41.1% saved)