Details

analyze596.0ms (6.2%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample3.1s (32.2%)

Results

1.6s	6365×	body	256	invalid
1.5s	8256×	body	256	valid

preprocess80.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1126×	`associate-/r/_binary64`
764×	`sqr-pow_binary64`
549×	`associate-l_binary64`
504×	`pow-sqr_binary64`
388×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	71	72
2	171	68
3	369	68
4	1018	68
5	3458	68
6	4263	68
7	4441	68
8	4731	68
9	5178	68
10	6013	68
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

589×	`associate-l_binary64`
544×	`pow-sqr_binary64`
531×	`*-commutative_binary64`
527×	`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	279	17
5	877	17
6	2831	17
7	4305	17
8	4397	17
9	4562	17
10	4781	17
11	5162	17
12	5785	17
13	7099	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 30 to 17 computations (43.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize19.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
	0.0b	(*.f64 a (pow.f64 k m))
	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	0.0b	(*.f64 a (pow.f64 k m))
✓	0.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

Compiler

Compiled 51 to 25 computations (51% saved)

series101.0ms (1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
42.0ms	a	@	0	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
22.0ms	k	@	-inf	(*.f64 a (pow.f64 k m))
13.0ms	k	@	0	(*.f64 a (pow.f64 k m))
10.0ms	k	@	inf	(*.f64 a (pow.f64 k m))
2.0ms	k	@	-inf	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	285	34
2	4000	32

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

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

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(#(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 log1p.f64 (expm1.f64 (fma.f64 k (+.f64 10 k) 1)))))))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

698×	`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	377	1619
2	1389	1307
3	7223	1271

Stop Event

1×	node limit

Counts

224 → 189

Calls

Call 1

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

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

eval70.0ms (0.7%)

Compiler: Compiled 4292 to 2385 computations (44.4% saved)

prune34.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	183	6	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	6	190

Error

0.7b

Counts

190 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(*.f64 (pow.f64 k m) a)
▶	25.4b	(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
▶	0.7b	(.f64 (.f64 a (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 10 k) 1)))
▶	24.6b	(.f64 a (/.f64 (pow.f64 k m) (.f64 k k)))
▶	11.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 10 k)))
	1.1b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)) (pow.f64 k m))) 3)

Compiler

Compiled 166 to 114 computations (31.3% saved)

localize21.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.6b	(.f64 (.f64 a (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 10 k) 1)))
	0.3b	(/.f64 1 (fma.f64 k (+.f64 10 k) 1))
	0.0b	(*.f64 a (pow.f64 k m))
	0.0b	(*.f64 a (pow.f64 k m))
✓	0.3b	(/.f64 1 (fma.f64 k (+.f64 10 k) 1))
✓	0.6b	(.f64 (.f64 a (pow.f64 k m)) (/.f64 1 (fma.f64 k (+.f64 10 k) 1)))

Compiler

Compiled 47 to 26 computations (44.7% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
391×	`pow-prod-down_binary64`
328×	`pow2_binary64`
270×	`pow-unpow_binary64`
229×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	259	28
2	3307	28

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-r_binary64`
656×	`fma-def_binary64`
612×	`associate-l_binary64`
297×	`times-frac_binary64`
277×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1492
1	423	1357
2	1500	1121
3	7343	1085

Stop Event

1×	node limit

Counts

111 → 109

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.1b	(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
	0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
✓	3.1b	(/.f64 a (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`prod-diff_binary64`
500×	`log-prod_binary64`
495×	`fma-def_binary64`
282×	`pow2_binary64`
203×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	220	12
2	3075	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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1)))) 2)) (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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (fma.f64 k (+.f64 10 k) 1))))))))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	484
1	174	414
2	672	367
3	2833	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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.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 k 10))))
(/.f64 a (fma.f64 k (+.f64 k 10) 1))
a
(+.f64 a (.f64 -10 (.f64 k a)))
(+.f64 a (.f64 -10 (.f64 a k)))
(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 (*.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 -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 (.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 (/.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 99 (*.f64 k k)) (+.f64 (/.f64 -10 k) 1)))
(+.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 (/.f64 a 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 -980) (pow.f64 k 5)) (.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 99 (.f64 k k)) (+.f64 (/.f64 -10 k) 1))))
(/.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 99 (*.f64 k k)) (+.f64 (/.f64 -10 k) 1)))
(+.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 (/.f64 a 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 -980) (pow.f64 k 5)) (.f64 (/.f64 a (.f64 k k)) (+.f64 (/.f64 99 (.f64 k k)) (+.f64 (/.f64 -10 k) 1))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	315
1	112	309
2	312	307
3	1425	300
4	4269	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)
(fma.f64 (log.f64 k) (*.f64 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 (.f64 m m) (pow.f64 (log.f64 k) 2))) (+.f64 a (.f64 (*.f64 (log.f64 k) m) a)))
(fma.f64 1/2 (.f64 a (.f64 m (.f64 m (pow.f64 (log.f64 k) 2)))) (fma.f64 (.f64 (log.f64 k) m) a a))
(.f64 a (+.f64 (fma.f64 (log.f64 k) m 1) (.f64 (.f64 m (pow.f64 (log.f64 k) 2)) (.f64 m 1/2))))
(fma.f64 a (.f64 (log.f64 k) (+.f64 m (.f64 1/2 (.f64 m (.f64 (log.f64 k) m))))) a)
(fma.f64 a (.f64 (log.f64 k) (+.f64 m (.f64 1/2 (.f64 (log.f64 k) (.f64 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 (.f64 m m) (pow.f64 (log.f64 k) 2))) (+.f64 a (.f64 (*.f64 (log.f64 k) m) a))))
(fma.f64 1/6 (.f64 a (.f64 (pow.f64 (log.f64 k) 3) (pow.f64 m 3))) (fma.f64 1/2 (.f64 a (.f64 m (.f64 m (pow.f64 (log.f64 k) 2)))) (fma.f64 (.f64 (log.f64 k) m) a a)))
(fma.f64 (fma.f64 (log.f64 k) m 1) a (.f64 a (+.f64 (.f64 (pow.f64 m 3) (.f64 (pow.f64 (log.f64 k) 3) 1/6)) (.f64 (.f64 m (pow.f64 (log.f64 k) 2)) (.f64 m 1/2)))))
(.f64 a (+.f64 (fma.f64 (log.f64 k) m 1) (.f64 (.f64 m m) (+.f64 (.f64 1/2 (pow.f64 (log.f64 k) 2)) (.f64 1/6 (.f64 m (pow.f64 (log.f64 k) 3)))))))
(.f64 a (+.f64 (fma.f64 (log.f64 k) m 1) (.f64 (.f64 m m) (+.f64 (.f64 1/6 (.f64 m (pow.f64 (log.f64 k) 3))) (.f64 1/2 (pow.f64 (log.f64 k) 2))))))
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)
(.f64 (exp.f64 (.f64 (log.f64 k) m)) a)
(*.f64 (pow.f64 k m) a)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.4b	(/.f64 (pow.f64 k m) (*.f64 k k))
	2.7b	(.f64 a (/.f64 (pow.f64 k m) (.f64 k k)))
✓	2.7b	(.f64 a (/.f64 (pow.f64 k m) (.f64 k k)))
✓	9.4b	(/.f64 (pow.f64 k m) (*.f64 k k))

Compiler

Compiled 28 to 7 computations (75% saved)

series30.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	m	@	0	(/.f64 (pow.f64 k m) (*.f64 k k))
2.0ms	k	@	0	(/.f64 (pow.f64 k m) (*.f64 k k))
1.0ms	a	@	inf	(.f64 a (/.f64 (pow.f64 k m) (.f64 k k)))
1.0ms	m	@	inf	(/.f64 (pow.f64 k m) (*.f64 k k))
1.0ms	m	@	0	(.f64 a (/.f64 (pow.f64 k m) (.f64 k k)))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`pow1_binary64`
848×	`add-log-exp_binary64`
848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	171	17
2	2316	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
634×	`distribute-frac-neg_binary64`
440×	`unsub-neg_binary64`
304×	`times-frac_binary64`
303×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	900
1	176	900
2	551	888
3	3079	870
4	5778	870

Stop Event

1×	node limit

Counts

117 → 81

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
346×	`pow-prod-down_binary64`
302×	`pow2_binary64`
284×	`prod-diff_binary64`
260×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	234	14
2	3102	14

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

643×	`distribute-rgt-out_binary64`
636×	`associate-/l/_binary64`
431×	`associate-r_binary64`
363×	`fma-def_binary64`
352×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1072
1	303	994
2	929	747
3	4185	691

Stop Event

1×	node limit

Counts

87 → 81

Calls

Call 1

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

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

eval225.0ms (2.3%)

Compiler: Compiled 8767 to 5193 computations (40.8% saved)

prune99.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	478	10	488
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	483	11	494

Error

Counts

494 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.9b	(+.f64 a (.f64 -10 (.f64 k a)))
	39.9b	(/.f64 a (*.f64 k k))
▶	14.6b	(/.f64 (/.f64 (*.f64 (pow.f64 k m) a) k) k)
	39.3b	(/.f64 a (*.f64 k (+.f64 k 10)))
✓	15.4b	(*.f64 (pow.f64 k m) a)
	48.2b	a
▶	15.4b	(/.f64 a (pow.f64 k (-.f64 2 m)))
	25.4b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
▶	41.6b	(/.f64 (/.f64 a k) k)
	25.4b	(*.f64 a (/.f64 1 (fma.f64 k (+.f64 10 k) 1)))
▶	40.0b	(/.f64 a (+.f64 1 (*.f64 10 k)))

Compiler

Compiled 198 to 138 computations (30.3% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 30 to 7 computations (76.7% saved)

series28.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	k	@	inf	(/.f64 (*.f64 (pow.f64 k m) a) k)
5.0ms	k	@	-inf	(/.f64 (*.f64 (pow.f64 k m) a) k)
1.0ms	m	@	0	(/.f64 (*.f64 (pow.f64 k m) a) k)
1.0ms	a	@	inf	(/.f64 (*.f64 (pow.f64 k m) a) k)
1.0ms	k	@	0	(/.f64 (/.f64 (*.f64 (pow.f64 k m) a) k) k)

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
401×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
240×	`pow2_binary64`
233×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	175	23
2	2535	20

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
780×	`associate-/r/_binary64`
705×	`associate-*r/_binary64`
271×	`associate-r_binary64`
246×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1012
1	179	1010
2	511	996
3	2800	972
4	7652	972

Stop Event

1×	node limit

Counts

192 → 143

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/r*_binary64`
1106×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
536×	`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	209	168
6	754	168
7	1962	168
8	2128	168
9	2312	168
10	2520	168
11	2811	168
12	3202	168
13	3680	168
14	4241	168
15	4925	168
16	5758	168
17	6150	168
18	6438	168
19	6716	168
20	6794	168
21	6828	168

Stop Event

1×	node limit

Counts

60 → 38

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite46.0ms (0.5%)

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	2161	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
656×	`associate-/l*_binary64`
534×	`associate-/l/_binary64`
499×	`associate-*l/_binary64`
457×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	237
1	107	233
2	291	199
3	898	181
4	3182	181
5	7558	181
6	7984	181

Stop Event

1×	node limit

Counts

45 → 48

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series7.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	15
2	2062	15

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

137×	`fma-def_binary64`
122×	`fma-neg_binary64`
79×	`associate-l_binary64`
53×	`associate-r_binary64`
35×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	197	111
4	365	111
5	604	111
6	743	111
7	818	111
8	832	111
9	837	111

Stop Event

1×

saturated

Counts

65 → 55

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(/.f64 a (pow.f64 k (-.f64 2 m)))
	0.1b	(pow.f64 k (-.f64 2 m))
✓	0.1b	(pow.f64 k (-.f64 2 m))
✓	2.5b	(/.f64 a (pow.f64 k (-.f64 2 m)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series14.0ms (0.1%)

Counts

2 → 32

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/.f64 a (pow.f64 k (-.f64 2 m)))
1.0ms	a	@	0	(/.f64 a (pow.f64 k (-.f64 2 m)))
1.0ms	m	@	0	(/.f64 a (pow.f64 k (-.f64 2 m)))
1.0ms	k	@	-inf	(/.f64 a (pow.f64 k (-.f64 2 m)))
1.0ms	k	@	inf	(/.f64 a (pow.f64 k (-.f64 2 m)))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`log-prod_binary64`
342×	`exp-prod_binary64`
286×	`prod-exp_binary64`
250×	`pow2_binary64`
243×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	183	17
2	2479	17

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 k (-.f64 2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 k (-.f64 2 m)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 k (-.f64 2 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k (-.f64 2 m))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k (-.f64 2 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 k (-.f64 2 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k (-.f64 2 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 k (-.f64 2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 k (-.f64 2 m))) (cbrt.f64 (pow.f64 k (*.f64 2 (-.f64 2 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 k (*.f64 2 (-.f64 2 m)))) (cbrt.f64 (pow.f64 k (-.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 k k) (pow.f64 k (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 k k) (pow.f64 k (*.f64 (neg.f64 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 k) (-.f64 2 m)) (pow.f64 (sqrt.f64 k) (-.f64 2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 k) (*.f64 2 (-.f64 2 m))) (pow.f64 (cbrt.f64 k) (-.f64 2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k (neg.f64 m)) (*.f64 k k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 k (-.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 k k) (pow.f64 k m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 k k)) (neg.f64 (pow.f64 k m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 k (exp.f64 (log1p.f64 (-.f64 2 m)))) k)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 k (/.f64 8 (fma.f64 m (+.f64 2 m) 4))) (pow.f64 k (/.f64 (pow.f64 m 3) (fma.f64 m (+.f64 2 m) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 k (/.f64 4 (+.f64 2 m))) (pow.f64 k (/.f64 (*.f64 m m) (+.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 k (*.f64 2 (-.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 k (-.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 k (-.f64 2 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 k (*.f64 (-.f64 2 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 k (-.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 2 m) (log.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 2 m) (log.f64 k)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 k) (*.f64 2 (-.f64 1 (/.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (*.f64 (-.f64 2 m) (log.f64 k))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 k (-.f64 2 m)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 k k)) (-.f64 1 (/.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 k) (-.f64 2 m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 k (pow.f64 (cbrt.f64 (-.f64 2 m)) 2))) (cbrt.f64 (-.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 k (sqrt.f64 (-.f64 2 m)))) (sqrt.f64 (-.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 k) 1) (*.f64 2 (-.f64 1 (/.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 (-.f64 2 m) (log.f64 k)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 k) 2) (-.f64 1 (/.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 k) (-.f64 1 (/.f64 m 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 k) 2) (*.f64 m (log.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 k k)) (*.f64 (log.f64 k) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 k) 2) (*.f64 (log.f64 k) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 k) (-.f64 1 (/.f64 m 2))) (log.f64 (pow.f64 (sqrt.f64 k) (-.f64 2 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 k) (-.f64 2 m))) (*.f64 (log.f64 k) (-.f64 1 (/.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 k) (-.f64 1 (/.f64 m 2))) (*.f64 (log.f64 k) (-.f64 1 (/.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 k (-.f64 2 m))))))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-neg_binary64`
594×	`unswap-sqr_binary64`
499×	`associate-l_binary64`
475×	`associate-r_binary64`
368×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	725
1	221	699
2	857	571
3	4951	474

Stop Event

1×	node limit

Counts

129 → 121

Calls

Call 1

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

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

eval120.0ms (1.2%)

Compiler: Compiled 5962 to 3360 computations (43.6% saved)

prune83.0ms (0.9%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	420	7	427
Fresh	1	4	5
Picked	0	1	1
Done	1	4	5
Total	422	16	438

Error

Counts

438 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(.f64 a (.f64 -10 k))
✓	15.4b	(/.f64 a (pow.f64 k (-.f64 2 m)))
▶	53.5b	(*.f64 1/10 (/.f64 a k))
▶	40.0b	(.f64 a (/.f64 1 (.f64 k k)))
	36.5b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
	25.4b	(*.f64 a (/.f64 1 (fma.f64 k (+.f64 10 k) 1)))
	55.8b	(.f64 -10 (.f64 k a))
✓	40.0b	(/.f64 a (+.f64 1 (*.f64 10 k)))
▶	39.9b	(/.f64 a (*.f64 k k))
	41.6b	(*.f64 (/.f64 1 k) (/.f64 a k))
✓	14.6b	(/.f64 (/.f64 (*.f64 (pow.f64 k m) a) k) k)
▶	39.3b	(/.f64 a (*.f64 k (+.f64 k 10)))
✓	15.4b	(*.f64 (pow.f64 k m) a)
	48.2b	a
▶	25.4b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	41.6b	(/.f64 (/.f64 a k) k)

Compiler

Compiled 250 to 179 computations (28.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.1b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
	0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
✓	0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
✓	3.1b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	19
2	2760	19

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	406
1	175	346
2	677	311
3	2828	296

Stop Event

1×	node limit

Counts

126 → 126

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)))))))
1
(+.f64 1 (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(pow.f64 k 2)
(+.f64 (pow.f64 k 2) (*.f64 10 k))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))
(+.f64 1 (+.f64 (pow.f64 k 2) (*.f64 10 k)))

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.9b	(/.f64 a (*.f64 k k))
✓	6.9b	(/.f64 a (*.f64 k k))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1446	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/r*_binary64`
1106×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
536×	`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	209	168
6	754	168
7	1962	168
8	2128	168
9	2312	168
10	2520	168
11	2811	168
12	3202	168
13	3680	168
14	4241	168
15	4925	168
16	5758	168
17	6150	168
18	6438	168
19	6716	168
20	6794	168
21	6828	168

Stop Event

1×	node limit

Counts

55 → 33

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	3.2b	(/.f64 a (*.f64 k (+.f64 k 10)))
✓	3.2b	(/.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	@	inf	(/.f64 a (*.f64 k (+.f64 k 10)))
1.0ms	a	@	0	(/.f64 a (*.f64 k (+.f64 k 10)))
1.0ms	a	@	-inf	(/.f64 a (*.f64 k (+.f64 k 10)))
0.0ms	k	@	-inf	(/.f64 a (*.f64 k (+.f64 k 10)))
0.0ms	k	@	0	(/.f64 a (*.f64 k (+.f64 k 10)))

rewrite75.0ms (0.8%)

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	2303	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 1 (*.f64 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 1 (*.f64 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 1 (*.f64 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 k (neg.f64 (+.f64 k 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 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 (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 (sqrt.f64 a) k) (/.f64 (sqrt.f64 a) (+.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) (+.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 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 k (/.f64 a (+.f64 k 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 k (neg.f64 (+.f64 k 10)))))))) (#(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 exp.f64 (log.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)))))))))

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2057×	`fma-def_binary64`
720×	`associate-/l*_binary64`
582×	`associate-/l/_binary64`
415×	`associate-*l/_binary64`
264×	`associate-*r/_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	42	252
1	108	242
2	271	227
3	730	219
4	2217	207
5	6563	207
6	6872	203
7	7088	203
8	7333	203
9	7613	203
10	7900	191

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.4b	(.f64 a (/.f64 1 (.f64 k k)))
	0.3b	(/.f64 1 (*.f64 k k))
✓	0.3b	(/.f64 1 (*.f64 k k))
✓	7.4b	(.f64 a (/.f64 1 (.f64 k k)))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	11
2	1717	11

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
648×	`associate-/l/_binary64`
561×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	14	252
2	23	252
3	42	252
4	96	252
5	287	252
6	1086	252
7	1930	252
8	2094	252
9	2278	252
10	2486	252
11	2775	252
12	3656	252
13	4136	252
14	4699	252
15	5381	252
16	6218	252
17	6612	252
18	6902	252
19	7178	252
20	7250	252
21	7286	252

Stop Event

1×	node limit

Counts

79 → 46

Calls

Call 1

Inputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 a (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (pow.f64 k 2))

Outputs
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 a (pow.f64 k 2))
(/.f64 a (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))
(/.f64 1 (pow.f64 k 2))
(/.f64 1 (*.f64 k k))

eval105.0ms (1.1%)

Compiler: Compiled 3363 to 2207 computations (34.4% saved)

prune77.0ms (0.8%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	276	5	281
Fresh	1	5	6
Picked	1	0	1
Done	1	8	9
Total	279	18	297

Error

Counts

297 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(.f64 a (.f64 -10 k))
✓	15.4b	(/.f64 a (pow.f64 k (-.f64 2 m)))
	39.7b	(/.f64 1 (/.f64 (*.f64 k k) a))
	55.8b	(.f64 -10 (.f64 k a))
	36.5b	(-.f64 (+.f64 1 (/.f64 a (*.f64 k k))) 1)
✓	40.0b	(/.f64 a (+.f64 1 (*.f64 10 k)))
✓	39.9b	(/.f64 a (*.f64 k k))
	25.4b	(*.f64 (/.f64 1 (fma.f64 k (+.f64 k 10) 1)) a)
	41.6b	(*.f64 (/.f64 1 k) (/.f64 a k))
✓	14.6b	(/.f64 (/.f64 (*.f64 (pow.f64 k m) a) k) k)
✓	39.3b	(/.f64 a (*.f64 k (+.f64 k 10)))
✓	15.4b	(*.f64 (pow.f64 k m) a)
	41.6b	(/.f64 (*.f64 (/.f64 1 k) a) k)
	48.2b	a
✓	25.4b	(/.f64 a (+.f64 1 (*.f64 k (+.f64 k 10))))
✓	41.6b	(/.f64 (/.f64 a k) k)
	53.5b	(/.f64 (*.f64 1/10 a) k)
	38.6b	(-.f64 (+.f64 1 (*.f64 1/10 (/.f64 a k))) 1)

Compiler

Compiled 173 to 124 computations (28.3% saved)

regimes151.0ms (1.6%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	a
52.0ms	k
33.0ms	m

Results

Error	Segments	Branch
9.6b	6	`a`
0.6b	2	`k`
1.0b	3	`m`

Compiler

Compiled 134 to 75 computations (44% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	0.1558475183676087	0.9362413081462893

Compiler

Compiled 46 to 31 computations (32.6% saved)

regimes193.0ms (2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

110.0ms	a
61.0ms	m
18.0ms	k

Results

Error	Segments	Branch
8.5b	8	`a`
1.3b	2	`k`
1.0b	3	`m`

Compiler

Compiled 115 to 66 computations (42.6% saved)

bsearch130.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	1.556481245053798e-6	1.3201351774935164
64.0ms	-0.0012301719105696136	-1.0635138194610265e-11

Compiler

Compiled 420 to 305 computations (27.4% saved)

regimes124.0ms (1.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	k
29.0ms	a
28.0ms	m

Results

Error	Segments	Branch
22.1b	3	`a`
20.5b	3	`k`
15.3b	3	`m`

Compiler

Compiled 103 to 60 computations (41.7% saved)

bsearch114.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.3201351774935164	43.10291228531533
85.0ms	-1.0319687148864029e+23	-24426310.75895764

Compiler

Compiled 438 to 336 computations (23.3% saved)

regimes79.0ms (0.8%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	k
22.0ms	a
16.0ms	m

Results

Error	Segments	Branch
22.1b	3	`a`
20.8b	4	`k`
19.1b	2	`m`

Compiler

Compiled 94 to 56 computations (40.4% saved)

bsearch35.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	1.3201351774935164	43.10291228531533

Compiler

Compiled 178 to 136 computations (23.6% saved)

regimes207.0ms (2.1%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

84.0ms	k
62.0ms	m
57.0ms	a

Results

Error	Segments	Branch
31.4b	4	`a`
21.1b	5	`k`
27.0b	5	`m`

Compiler

Compiled 85 to 50 computations (41.2% saved)

bsearch158.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
60.0ms	0.9362413081462893	112032821792.32086
32.0ms	-6.64872402718425e-299	3.5045012093554623e-301
42.0ms	-4.741371767254243e-76	-7.307965236234359e-109
24.0ms	-3.9399910417915675e+149	-7.23798846222789e+147

Compiler

Compiled 840 to 664 computations (21% saved)

regimes89.0ms (0.9%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	m
29.0ms	a
25.0ms	k

Results

Error	Segments	Branch
34.5b	4	`a`
23.2b	4	`k`
27.0b	5	`m`

Compiler

Compiled 76 to 44 computations (42.1% saved)

bsearch126.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
59.0ms	0.9362413081462893	112032821792.32086
32.0ms	-6.64872402718425e-299	3.5045012093554623e-301
35.0ms	-38414.427133912235	-4.325764251938008e-7

Compiler

Compiled 644 to 497 computations (22.8% saved)

regimes83.0ms (0.9%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	m
28.0ms	a
23.0ms	k

Results

Error	Segments	Branch
34.6b	4	`a`
23.5b	4	`k`
27.2b	5	`m`

Compiler

Compiled 69 to 41 computations (40.6% saved)

bsearch133.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
67.0ms	0.9362413081462893	112032821792.32086
34.0ms	-6.64872402718425e-299	3.5045012093554623e-301
31.0ms	-38414.427133912235	-4.325764251938008e-7

Compiler

Compiled 624 to 477 computations (23.6% saved)

regimes94.0ms (1%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	m
26.0ms	a
21.0ms	k

Results

Error	Segments	Branch
36.2b	4	`a`
23.6b	4	`k`
28.0b	8	`m`

Compiler

Compiled 62 to 36 computations (41.9% saved)

bsearch112.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
47.0ms	0.03483097763244238	0.1558475183676087
32.0ms	-6.64872402718425e-299	3.5045012093554623e-301
33.0ms	-38414.427133912235	-4.325764251938008e-7

Compiler

Compiled 440 to 329 computations (25.2% saved)

regimes76.0ms (0.8%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	m
24.0ms	a
20.0ms	k

Results

Error	Segments	Branch
36.8b	4	`a`
23.8b	4	`k`
29.2b	6	`m`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch125.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
61.0ms	0.9362413081462893	112032821792.32086
31.0ms	-6.64872402718425e-299	3.5045012093554623e-301
32.0ms	-38414.427133912235	-4.325764251938008e-7

Compiler

Compiled 484 to 357 computations (26.2% saved)

regimes52.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	m
12.0ms	a
12.0ms	k

Results

Error	Segments	Branch
38.6b	2	`a`
26.0b	3	`k`
36.0b	5	`m`

Compiler

Compiled 31 to 19 computations (38.7% saved)

bsearch97.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
66.0ms	0.9362413081462893	112032821792.32086
31.0ms	-38414.427133912235	-4.325764251938008e-7

Compiler

Compiled 304 to 217 computations (28.6% saved)

regimes42.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	m
11.0ms	k
11.0ms	a

Results

Error	Segments	Branch
39.5b	2	`a`
27.7b	3	`k`
38.1b	5	`m`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch91.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	0.9362413081462893	112032821792.32086
31.0ms	-38414.427133912235	-4.325764251938008e-7

Compiler

Compiled 304 to 217 computations (28.6% saved)

regimes26.0ms (0.3%)

Accuracy

Total -21.6b remaining (-54.1%)

Threshold costs -21.6b (-54.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	a
9.0ms	k
7.0ms	m

Results

Error	Segments	Branch
44.3b	3	`a`
40.0b	3	`k`
44.4b	2	`m`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	0.03483097763244238	0.1558475183676087
30.0ms	-38414.427133912235	-4.325764251938008e-7

Compiler

Compiled 248 to 193 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	479
1	99	479
2	101	479

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 k 2147483648/4294967296) (.f64 (pow.f64 k m) a) (/.f64 (/.f64 (.f64 (pow.f64 k m) a) k) k))
(if (<=.f64 m -22136092888451460/18446744073709551616) (.f64 (pow.f64 k m) a) (if (<=.f64 m 5854679515581645/4503599627370496) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -25000000) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 4165829655317709/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (.f64 k a))))
(if (<=.f64 m 4165829655317709/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (*.f64 k a)))
(if (<=.f64 k -389999999999999990708785696511558863950207285751812993421450874241803893055709149409158104476831440949976176719399728219914838593505832705974511599616) (/.f64 a (.f64 k k)) (if (<=.f64 k -7496292392910909/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (-.f64 (+.f64 1 (.f64 1/10 (/.f64 a k))) 1) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) (/.f64 a (+.f64 1 (.f64 10 k))) (/.f64 a (.f64 k (+.f64 k 10)))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 1 (/.f64 (.f64 k k) a)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) (/.f64 a (+.f64 1 (.f64 10 k))) (/.f64 a (*.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) (/.f64 a (+.f64 1 (.f64 10 k))) (/.f64 a (*.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 645636042579834368/18446744073709551616) a (/.f64 a (.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) a (/.f64 a (.f64 k k)))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k 461373440000000000/4194304) a (/.f64 a (.f64 k k))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 (/.f64 a k) k) (if (<=.f64 k 461373440000000000/4194304) a (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -1) (/.f64 (.f64 1/10 a) k) (if (<=.f64 k 645636042579834368/18446744073709551616) a (/.f64 (.f64 1/10 a) k)))
a

Outputs
(if (<=.f64 k 2147483648/4294967296) (.f64 (pow.f64 k m) a) (/.f64 (/.f64 (.f64 (pow.f64 k m) a) k) k))
(if (<=.f64 k 1/2) (.f64 (pow.f64 k m) a) (/.f64 (/.f64 (.f64 (pow.f64 k m) a) k) k))
(if (<=.f64 m -22136092888451460/18446744073709551616) (.f64 (pow.f64 k m) a) (if (<=.f64 m 5854679515581645/4503599627370496) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -5534023222112865/4611686018427387904) (.f64 (pow.f64 k m) a) (if (<=.f64 m 5854679515581645/4503599627370496) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (*.f64 (pow.f64 k m) a)))
(if (<=.f64 m -25000000) (-.f64 (+.f64 1 (/.f64 a (.f64 k k))) 1) (if (<=.f64 m 4165829655317709/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (.f64 k a))))
(if (<=.f64 m -25000000) (+.f64 (+.f64 1 (/.f64 a (.f64 k k))) -1) (if (<=.f64 m 4165829655317709/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (.f64 k a))))
(if (<=.f64 m 4165829655317709/1125899906842624) (/.f64 a (+.f64 1 (.f64 k (+.f64 k 10)))) (.f64 -10 (*.f64 k a)))
(if (<=.f64 k -389999999999999990708785696511558863950207285751812993421450874241803893055709149409158104476831440949976176719399728219914838593505832705974511599616) (/.f64 a (.f64 k k)) (if (<=.f64 k -7496292392910909/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (-.f64 (+.f64 1 (.f64 1/10 (/.f64 a k))) 1) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) (/.f64 a (+.f64 1 (.f64 10 k))) (/.f64 a (.f64 k (+.f64 k 10)))))))
(if (<=.f64 k -389999999999999990708785696511558863950207285751812993421450874241803893055709149409158104476831440949976176719399728219914838593505832705974511599616) (/.f64 a (.f64 k k)) (if (<=.f64 k -7496292392910909/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (+.f64 (+.f64 1 (.f64 1/10 (/.f64 a k))) -1) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 110000000000) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 a (.f64 k (+.f64 k 10)))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 1 (/.f64 (.f64 k k) a)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) (/.f64 a (+.f64 1 (.f64 10 k))) (/.f64 a (*.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1098878309078401/18014398509481984) (/.f64 1 (/.f64 (.f64 k k) a)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 110000000000) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 a (*.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) (/.f64 a (+.f64 1 (.f64 10 k))) (/.f64 a (*.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1098878309078401/18014398509481984) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 110000000000) (/.f64 a (+.f64 1 (.f64 k 10))) (/.f64 a (*.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 645636042579834368/18446744073709551616) a (/.f64 a (.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1098878309078401/18014398509481984) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 1261007895663739/36028797018963968) a (/.f64 a (.f64 k (+.f64 k 10))))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 461373440000000000/4194304) a (/.f64 a (.f64 k k)))))
(if (<=.f64 k -1098878309078401/18014398509481984) (/.f64 a (.f64 k k)) (if (<=.f64 k -3063154049444755/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 -10 (.f64 k a)) (if (<=.f64 k 110000000000) a (/.f64 a (.f64 k k)))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 a (.f64 k k)) (if (<=.f64 k 461373440000000000/4194304) a (/.f64 a (.f64 k k))))
(if (<=.f64 k -1098878309078401/18014398509481984) (/.f64 a (.f64 k k)) (if (<=.f64 k 110000000000) a (/.f64 a (.f64 k k))))
(if (<=.f64 k -1125251388496282624/18446744073709551616) (/.f64 (/.f64 a k) k) (if (<=.f64 k 461373440000000000/4194304) a (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -1098878309078401/18014398509481984) (/.f64 (/.f64 a k) k) (if (<=.f64 k 110000000000) a (/.f64 (/.f64 a k) k)))
(if (<=.f64 k -1) (/.f64 (.f64 1/10 a) k) (if (<=.f64 k 645636042579834368/18446744073709551616) a (/.f64 (.f64 1/10 a) k)))
(if (<=.f64 k -1) (/.f64 (.f64 a 1/10) k) (if (<=.f64 k 1261007895663739/36028797018963968) a (/.f64 (.f64 a 1/10) k)))
a

end131.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 708 to 412 computations (41.8% saved)

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	197	111
4	365	111
5	604	111
6	743	111
7	818	111
8	832	111
9	837	111

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	197	111
4	365	111
5	604	111
6	743	111
7	818	111
8	832	111
9	837	111

Iter	Nodes	Cost
0	16	135
1	38	111
2	78	111
3	197	111
4	365	111
5	604	111
6	743	111
7	818	111
8	832	111
9	837	111