Details

analyze1.0s (23.2%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

sample45.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	80	valid
10.0ms	125×	body	80	invalid
3.0ms	80×	body	80	nan

simplify103.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4961	13
1	4961	13

prune11.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 2.1b

Counts

2 → 2

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1.0 (*.f64 10.0 k))
0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 (+.f64 1.0 (.f64 10.0 k)) (.f64 k k))
2.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1.0 (.f64 10.0 k)) (*.f64 k k)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`prod-exp_binary64`
4×	`pow1_binary64` `unpow-prod-down_binary64` `div-exp_binary64` `sum-log_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `unswap-sqr_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `+-commutative_binary64` `pow-exp_binary64`
1×	`associate-+l+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1.0 (.f64 10.0 k)) (*.f64 k k)))
6.0ms	(+.f64 (+.f64 1.0 (.f64 10.0 k)) (.f64 k k))
5.0ms	(*.f64 a (pow.f64 k m))
3.0ms	(+.f64 1.0 (*.f64 10.0 k))

series66.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1.0 (.f64 10.0 k)) (*.f64 k k)))
17.0ms	(*.f64 a (pow.f64 k m))
5.0ms	(+.f64 1.0 (*.f64 10.0 k))
3.0ms	(+.f64 (+.f64 1.0 (.f64 10.0 k)) (.f64 k k))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4953	918
1	4953	918

prune103.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 2.1b

Counts

88 → 2

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10.0))
0.1b	(/.f64 1 (/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m))))
2.1b	(/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m)))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-exp-log_binary64`
36×	`times-frac_binary64`
34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64`
26×	`div-exp_binary64`
22×	`add-cbrt-cube_binary64`
16×	`prod-exp_binary64`
11×	`associate-r_binary64`
8×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-r/_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 135

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m))))
9.0ms	(/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m)))
7.0ms	(*.f64 k (+.f64 k 10.0))
5.0ms	(*.f64 a (pow.f64 k m))

series95.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(/.f64 1 (/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m))))
35.0ms	(/.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))) (.f64 a (pow.f64 k m)))
17.0ms	(*.f64 a (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10.0))

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4957	2000
1	4957	2000

prune178.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Merged error: 0.0b

Counts

149 → 3

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 k (pow.f64 k m))
0.0b	(+.f64 (/.f64 10.0 a) (/.f64 k a))
0.1b	(*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 10.0 a) (/.f64 k a)))
0.1b	(/.f64 1 (+.f64 (/.f64 1.0 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 10.0 a) (/.f64 k a)))))

rewrite59.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`times-frac_binary64`
63×	`*-un-lft-identity_binary64`
57×	`add-sqr-sqrt_binary64`
47×	`add-cube-cbrt_binary64`
25×	`associate-l_binary64`
23×	`add-exp-log_binary64`
22×	`unpow-prod-down_binary64`
13×	`add-cbrt-cube_binary64`
12×	`frac-add_binary64`
10×	`associate-/r*_binary64`
9×	`associate-/r/_binary64`
8×	`pow1_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `sqr-pow_binary64` `div-exp_binary64`
7×	`div-inv_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r/_binary64` `associate-/l_binary64` `flip-+_binary64` `frac-times_binary64`
4×	`unswap-sqr_binary64` `prod-exp_binary64`
3×	`cbrt-undiv_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `pow-div_binary64` `1-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

23.0ms	(*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 10.0 a) (/.f64 k a)))
12.0ms	(+.f64 (/.f64 10.0 a) (/.f64 k a))
12.0ms	(/.f64 1 (+.f64 (/.f64 1.0 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 10.0 a) (/.f64 k a)))))
5.0ms	(/.f64 k (pow.f64 k m))

series148.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(/.f64 1 (+.f64 (/.f64 1.0 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 10.0 a) (/.f64 k a)))))
36.0ms	(*.f64 (/.f64 k (pow.f64 k m)) (+.f64 (/.f64 10.0 a) (/.f64 k a)))
21.0ms	(/.f64 k (pow.f64 k m))
6.0ms	(+.f64 (/.f64 10.0 a) (/.f64 k a))

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5036	3044

prune248.0ms (5.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	176	3	179

Merged error: 0b

Counts

179 → 3

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 k (pow.f64 k m))
0.1b	(.f64 (/.f64 k (pow.f64 k m)) (.f64 (/.f64 1 a) (+.f64 k 10.0)))
0.1b	(/.f64 1 (+.f64 (/.f64 1.0 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (pow.f64 k m)) (*.f64 (/.f64 1 a) (+.f64 k 10.0)))))
0.3b	(*.f64 (/.f64 1 a) (+.f64 k 10.0))

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-exp-log_binary64`
62×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
53×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`
40×	`prod-exp_binary64`
38×	`associate-l_binary64`
34×	`add-cbrt-cube_binary64`
30×	`div-exp_binary64`
21×	`unpow-prod-down_binary64`
20×	`associate-*r/_binary64` `frac-times_binary64`
13×	`pow1_binary64` `associate-/r/_binary64`
12×	`cbrt-unprod_binary64`
11×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
10×	`associate-/r*_binary64`
8×	`cbrt-undiv_binary64`
7×	`sqr-pow_binary64` `associate-*l/_binary64`
6×	`pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-/l*_binary64` `pow-exp_binary64`
5×	`associate-r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `div-inv_binary64`
3×	`unswap-sqr_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`pow-div_binary64` `distribute-lft-out_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 209

Calls

4 calls:

16.0ms	(.f64 (/.f64 k (pow.f64 k m)) (.f64 (/.f64 1 a) (+.f64 k 10.0)))
14.0ms	(/.f64 1 (+.f64 (/.f64 1.0 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (pow.f64 k m)) (*.f64 (/.f64 1 a) (+.f64 k 10.0)))))
10.0ms	(*.f64 (/.f64 1 a) (+.f64 k 10.0))
5.0ms	(/.f64 k (pow.f64 k m))

series143.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(/.f64 1 (+.f64 (/.f64 1.0 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (pow.f64 k m)) (*.f64 (/.f64 1 a) (+.f64 k 10.0)))))
34.0ms	(.f64 (/.f64 k (pow.f64 k m)) (.f64 (/.f64 1 a) (+.f64 k 10.0)))
20.0ms	(/.f64 k (pow.f64 k m))
6.0ms	(*.f64 (/.f64 1 a) (+.f64 k 10.0))

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4966	3202
1	4966	3202

prune293.0ms (6.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	221	3	224

Merged error: 0b

Counts

224 → 3

regimes206.0ms (4.7%)

Accuracy

Total 0.0b remaining (19.2%)

Threshold costs 0.0b (19.2%)

bsearch16.0ms (0.4%)

Steps

Iters	Range		Point
5	2.88696532579728e+144	7.861322747078371e+144	6.898772910889736e+144

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	42
1	33	42

end0.0ms (0%)

sample1.2s (27.3%)

Algorithm

1×

intervals

Results

523.0ms	8000×	body	80	valid
268.0ms	3285×	body	80	invalid
91.0ms	1965×	body	80	nan

Details

analyze1.0s (23.2%)

sample45.0ms (1%)

simplify103.0ms (2.3%)

prune11.0ms (0.2%)

localize11.0ms (0.2%)

rewrite30.0ms (0.7%)

series66.0ms (1.5%)

simplify58.0ms (1.3%)

prune103.0ms (2.3%)

localize14.0ms (0.3%)

rewrite34.0ms (0.8%)

series95.0ms (2.2%)

simplify95.0ms (2.2%)

prune178.0ms (4%)

localize18.0ms (0.4%)

rewrite59.0ms (1.4%)

series148.0ms (3.4%)

simplify48.0ms (1.1%)

prune248.0ms (5.6%)

localize14.0ms (0.3%)

rewrite57.0ms (1.3%)

series143.0ms (3.3%)

simplify81.0ms (1.9%)

prune293.0ms (6.7%)

regimes206.0ms (4.7%)

bsearch16.0ms (0.4%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (27.3%)

Profiling