Details

analyze999.0ms (12.9%)

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample43.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
8.0ms	96×	body	128	invalid
3.0ms	67×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify156.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4739	19
1	4739	19

prune5.0ms (0.1%)

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: 2.2b

Counts

2 → 2

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
2.2b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
6.0ms	(*.f64 a (pow.f64 k m))
6.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))

series374.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

254.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
100.0ms	(*.f64 a (pow.f64 k m))
20.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4959	1229
1	4959	1229

prune173.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 2.2b

Counts

74 → 7

Compiler

Compiled 3302 to 2132 computations (35.4% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (pow.f64 (/.f64 1 k) m))
0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
2.2b	(/.f64 (/.f64 a (pow.f64 (/.f64 1 k) m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))

rewrite102.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

564×	`times-frac_binary64`
277×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
208×	`unpow-prod-down_binary64`
58×	`associate-/l*_binary64`
30×	`add-exp-log_binary64`
22×	`div-inv_binary64`
20×	`associate-/r*_binary64`
18×	`div-exp_binary64`
16×	`sqr-pow_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow-exp_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`associate-/l/_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

3 → 344

Calls

3 calls:

26.0ms	(/.f64 (/.f64 a (pow.f64 (/.f64 1 k) m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
9.0ms	(/.f64 a (pow.f64 (/.f64 1 k) m))
6.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))

series510.0ms (6.6%)

Counts

3 → 9

Calls

3 calls:

335.0ms	(/.f64 (/.f64 a (pow.f64 (/.f64 1 k) m)) (+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k)))
154.0ms	(/.f64 a (pow.f64 (/.f64 1 k) m))
20.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

353 → 353

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5294	13232

prune669.0ms (8.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	351	2	353
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	351	9	360

Merged error: 2.2b

Counts

360 → 9

Compiler

Compiled 11750 to 7579 computations (35.5% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 a (pow.f64 (/.f64 1 k) m))
2.2b	(/.f64 (neg.f64 (/.f64 a (pow.f64 (/.f64 1 k) m))) (-.f64 -1 (*.f64 k (+.f64 k 10))))

rewrite145.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

1053×	`times-frac_binary64`
507×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
364×	`unpow-prod-down_binary64`
220×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
117×	`associate-/l*_binary64`
38×	`div-inv_binary64`
28×	`sqr-pow_binary64`
20×	`associate-/r*_binary64`
14×	`add-exp-log_binary64`
7×	`div-exp_binary64`
6×	`add-cbrt-cube_binary64`
4×	`neg-mul-1_binary64`
3×	`pow-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-to-exp_binary64` `associate-/l/_binary64` `flip3--_binary64` `neg-sub0_binary64` `distribute-neg-frac_binary64` `div-sub_binary64` `rec-exp_binary64` `distribute-frac-neg_binary64` `flip--_binary64`

Counts

2 → 563

Calls

2 calls:

31.0ms	(/.f64 (neg.f64 (/.f64 a (pow.f64 (/.f64 1 k) m))) (-.f64 -1 (*.f64 k (+.f64 k 10))))
9.0ms	(/.f64 a (pow.f64 (/.f64 1 k) m))

series453.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

314.0ms	(/.f64 (neg.f64 (/.f64 a (pow.f64 (/.f64 1 k) m))) (-.f64 -1 (*.f64 k (+.f64 k 10))))
138.0ms	(/.f64 a (pow.f64 (/.f64 1 k) m))

simplify216.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

569 → 569

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4990	24735
1	4990	24735

prune1.4s (18%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	569	0	569
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	569	9	578

Merged error: 2.2b

Counts

578 → 9

Compiler

Compiled 19392 to 12774 computations (34.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 (/.f64 1 k) m))
2.2b	(/.f64 a (.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 (/.f64 1 k) m)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

12.0ms	(.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 (/.f64 1 k) m))
10.0ms	(/.f64 a (.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 (/.f64 1 k) m)))

series406.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

322.0ms	(/.f64 a (.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 (/.f64 1 k) m)))
84.0ms	(.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 (/.f64 1 k) m))

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4939	1775
1	4939	1775

prune110.0ms (1.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	73	10	83

Merged error: 2.2b

Counts

83 → 10

Compiler

Compiled 2210 to 1437 computations (35% saved)

regimes88.0ms (1.1%)

Compiler: Compiled 832 to 662 computations (20.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	16	19

end0.0ms (0%)

sample1.5s (19.3%)

Algorithm

1×

intervals

Results

541.0ms	8000×	body	128	valid
289.0ms	3357×	body	128	invalid
98.0ms	2090×	body	128	nan

Compiler

Compiled 228 to 182 computations (20.2% saved)

Details

analyze999.0ms (12.9%)

sample43.0ms (0.6%)

simplify156.0ms (2%)

prune5.0ms (0.1%)

localize10.0ms (0.1%)

rewrite26.0ms (0.3%)

series374.0ms (4.8%)

simplify57.0ms (0.7%)

prune173.0ms (2.2%)

localize12.0ms (0.2%)

rewrite102.0ms (1.3%)

series510.0ms (6.6%)

simplify142.0ms (1.8%)

prune669.0ms (8.7%)

localize14.0ms (0.2%)

rewrite145.0ms (1.9%)

series453.0ms (5.9%)

simplify216.0ms (2.8%)

prune1.4s (18%)

localize11.0ms (0.1%)

rewrite29.0ms (0.4%)

series406.0ms (5.3%)

simplify90.0ms (1.2%)

prune110.0ms (1.4%)

regimes88.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (19.3%)

Profiling