Details

analyze1.4s (14.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5045	76
0	3	3
1	3	3

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)

sample58.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
11.0ms	117×	body	128	invalid
5.0ms	89×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	5019	19

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

2.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
2.4b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite112.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

20×	`add-exp-log_binary64_2503`
17×	`add-sqr-sqrt_binary64_2487`
12×	`add-cbrt-cube_binary64_2501` `*-un-lft-identity_binary64_2465`
11×	`associate-r_binary64_2405`
10×	`add-cube-cbrt_binary64_2500`
7×	`prod-exp_binary64_2514`
6×	`associate-l_binary64_2406`
5×	`pow1_binary64_2526`
4×	`div-exp_binary64_2516` `unpow-prod-down_binary64_2544` `unswap-sqr_binary64_2433`
3×	`add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `times-frac_binary64_2471` `associate-/r*_binary64_2409`
2×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-undiv_binary64_2499` `flip3-+_binary64_2468` `associate-/r/_binary64_2411` `flip-+_binary64_2439` `sqr-pow_binary64_2437` `-commutative_binary64_2396` `associate-r/_binary64_2407`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410` `pow-prod-down_binary64_2536` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `distribute-lft-out_binary64_2416`

Counts

3 → 73

Calls

3 calls:

10.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
5.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1509 to 797 computations (47.2% saved)

series737.0ms (7.6%)

Error

2.4b

Counts

3 → 35

Calls

3 calls:

423.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
220.0ms	(*.f64 a (pow.f64 k m))
44.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1833 to 1350 computations (26.4% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4968	1769
1	4968	1769

prune130.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Error

2.3b

Counts

109 → 5

Compiler

Compiled 2060 to 1094 computations (46.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
2.4b	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

rewrite345.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

180×	`times-frac_binary64_2471`
105×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
103×	`add-cube-cbrt_binary64_2500`
48×	`unpow-prod-down_binary64_2544`
32×	`associate-/r*_binary64_2409`
20×	`add-exp-log_binary64_2503`
16×	`sqr-pow_binary64_2437`
12×	`add-cbrt-cube_binary64_2501`
10×	`div-exp_binary64_2516`
6×	`div-inv_binary64_2462` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`cbrt-undiv_binary64_2499` `associate-r_binary64_2405`
3×	`add-log-exp_binary64_2504` `associate-l_binary64_2406`
2×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `flip3-+_binary64_2468` `associate-*r/_binary64_2407` `flip-+_binary64_2439` `associate-/l/_binary64_2412`
1×	`associate-/r/_binary64_2411` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `distribute-lft-out_binary64_2416` `*-commutative_binary64_2396`

Counts

3 → 190

Calls

3 calls:

11.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))
7.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 5295 to 3030 computations (42.8% saved)

series846.0ms (8.8%)

Error

2.3b

Counts

3 → 36

Calls

3 calls:

403.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
348.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))
51.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2227 to 1628 computations (26.9% saved)

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4943	7008
1	4943	7008

prune342.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	226	5	231

Error

2.3b

Counts

231 → 5

Compiler

Compiled 5732 to 3131 computations (45.4% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.4b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
2.1b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite184.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

48×	`add-sqr-sqrt_binary64_2487`
45×	`times-frac_binary64_2471`
38×	`*-un-lft-identity_binary64_2465`
36×	`add-cube-cbrt_binary64_2500`
31×	`associate-r_binary64_2405`
22×	`unpow-prod-down_binary64_2544`
20×	`add-exp-log_binary64_2503`
12×	`add-cbrt-cube_binary64_2501`
8×	`sqr-pow_binary64_2437`
7×	`pow1_binary64_2526` `associate-/l*_binary64_2410`
6×	`div-exp_binary64_2516` `associate-l_binary64_2406`
5×	`prod-exp_binary64_2514` `unswap-sqr_binary64_2433`
4×	`associate-/r/_binary64_2411`
3×	`add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `associate-r/_binary64_2407` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/r_binary64_2409`
2×	`pow-prod-down_binary64_2536` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `*-commutative_binary64_2396`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `distribute-lft-out_binary64_2416`

Counts

3 → 120

Calls

3 calls:

13.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
7.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2980 to 1756 computations (41.1% saved)

series654.0ms (6.8%)

Error

2.3b

Counts

3 → 37

Calls

3 calls:

365.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
195.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
42.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2192 to 1655 computations (24.5% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5087	3744

prune198.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	157	5	162

Error

2.3b

Counts

162 → 5

Compiler

Compiled 3576 to 2021 computations (43.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
12.2b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
12.2b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite358.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

10×	`add-sqr-sqrt_binary64_2487`
8×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`pow1_binary64_2526` `sqrt-prod_binary64_2481` `cbrt-prod_binary64_2496`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `flip3-+_binary64_2468` `flip-+_binary64_2439` `rem-sqrt-square_binary64_2478` `pow1/3_binary64_2547`

Counts

4 → 52

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
2.0ms	(cbrt.f64 k)
2.0ms	(cbrt.f64 k)

Compiler

Compiled 2044 to 1142 computations (44.1% saved)

series331.0ms (3.4%)

Error

2.3b

Counts

4 → 28

Calls

4 calls:

103.0ms	(cbrt.f64 k)
79.0ms	(cbrt.f64 k)
57.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
41.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2082 to 1362 computations (34.6% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5066	864

prune152.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Error

2.3b

Counts

85 → 5

Compiler

Compiled 2806 to 1495 computations (46.7% saved)

regimes404.0ms (4.2%)

Accuracy

Total 0.0b remaining (2.3%)

Threshold costs 0.0b (2.3%)

Compiler

Compiled 3832 to 2990 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms (0%)

sample2.7s (28.4%)

Algorithm

1×

intervals

Results

620.0ms	8000×	body	128	valid
332.0ms	3218×	body	128	invalid
113.0ms	2051×	body	128	nan

Compiler

Compiled 978 to 764 computations (21.9% saved)

Details

analyze1.4s (14.8%)

sample58.0ms (0.6%)

simplify138.0ms (1.4%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite112.0ms (1.2%)

series737.0ms (7.6%)

simplify96.0ms (1%)

prune130.0ms (1.3%)

localize9.0ms (0.1%)

rewrite345.0ms (3.6%)

series846.0ms (8.8%)

simplify170.0ms (1.8%)

prune342.0ms (3.6%)

localize16.0ms (0.2%)

rewrite184.0ms (1.9%)

series654.0ms (6.8%)

simplify88.0ms (0.9%)

prune198.0ms (2.1%)

localize16.0ms (0.2%)

rewrite358.0ms (3.7%)

series331.0ms (3.4%)

simplify73.0ms (0.8%)

prune152.0ms (1.6%)

regimes404.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (28.4%)

Profiling