Details

analyze964.0ms (9.9%)

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 (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
10.0ms	123×	body	128	invalid
3.0ms	67×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify202.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	5019	19

prune9.0ms (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 6 expressions with local error:

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

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_2440`
17×	`add-sqr-sqrt_binary64_2424`
12×	`*-un-lft-identity_binary64_2402` `add-cbrt-cube_binary64_2438`
11×	`associate-r_binary64_2342`
10×	`add-cube-cbrt_binary64_2437`
7×	`prod-exp_binary64_2451`
6×	`associate-l_binary64_2343`
5×	`pow1_binary64_2463`
4×	`unswap-sqr_binary64_2370` `div-exp_binary64_2453` `unpow-prod-down_binary64_2481`
3×	`associate-/r*_binary64_2346` `cbrt-unprod_binary64_2435` `add-log-exp_binary64_2441` `times-frac_binary64_2408`
2×	`cbrt-undiv_binary64_2436` `flip3-+_binary64_2405` `-commutative_binary64_2333` `flip-+_binary64_2376` `pow-to-exp_binary64_2471` `associate-r/_binary64_2344` `sqr-pow_binary64_2374` `pow-exp_binary64_2470` `associate-/r/_binary64_2348`
1×	`clear-num_binary64_2401` `pow-prod-down_binary64_2473` `distribute-rgt-in_binary64_2352` `associate-/l*_binary64_2347` `frac-2neg_binary64_2413` `distribute-lft-in_binary64_2351` `div-inv_binary64_2399` `distribute-lft-out_binary64_2353`

Counts

3 → 73

Calls

6 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))
0.0ms	(*.f64 a (pow.f64 k m))
0.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

series556.0ms (5.7%)

Counts

3 → 33

Calls

3 calls:

326.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
194.0ms	(*.f64 a (pow.f64 k m))
35.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1006 to 845 computations (16% saved)

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5123	1764

prune122.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	6	107

Error

2.4b

Counts

107 → 6

Compiler

Compiled 2065 to 1091 computations (47.2% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.1b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
0.3b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 k (+.f64 k 10))
0.3b	(/.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)))))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_2424`
45×	`times-frac_binary64_2408`
38×	`*-un-lft-identity_binary64_2402`
36×	`add-cube-cbrt_binary64_2437`
31×	`associate-r_binary64_2342`
22×	`unpow-prod-down_binary64_2481`
20×	`add-exp-log_binary64_2440`
12×	`add-cbrt-cube_binary64_2438`
8×	`sqr-pow_binary64_2374`
7×	`pow1_binary64_2463` `associate-/l*_binary64_2347`
6×	`div-exp_binary64_2453` `associate-l_binary64_2343`
5×	`unswap-sqr_binary64_2370` `prod-exp_binary64_2451`
4×	`associate-/r/_binary64_2348`
3×	`flip3-+_binary64_2405` `associate-/r_binary64_2346` `cbrt-unprod_binary64_2435` `flip-+_binary64_2376` `associate-r/_binary64_2344` `add-log-exp_binary64_2441`
2×	`cbrt-undiv_binary64_2436` `pow-prod-down_binary64_2473` `*-commutative_binary64_2333` `div-inv_binary64_2399` `pow-to-exp_binary64_2471` `pow-exp_binary64_2470`
1×	`clear-num_binary64_2401` `distribute-rgt-in_binary64_2352` `frac-2neg_binary64_2413` `distribute-lft-in_binary64_2351` `distribute-lft-out_binary64_2353`

Counts

3 → 120

Calls

6 calls:

14.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
6.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
0.0ms	(*.f64 k (+.f64 k 10))
0.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))

series497.0ms (5.1%)

Counts

3 → 33

Calls

3 calls:

320.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
140.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
37.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1119 to 945 computations (15.5% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4951	3604
1	4951	3604

prune176.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	155	4	159

Error

2.4b

Counts

159 → 4

Compiler

Compiled 3492 to 2013 computations (42.4% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))
0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 k (+.f64 k 10))
0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b	(/.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))
2.1b	(.f64 a (/.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
17.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
17.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite274.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

1148×	`times-frac_binary64_2408`
607×	`add-sqr-sqrt_binary64_2424`
583×	`sqrt-prod_binary64_2418`
553×	`*-un-lft-identity_binary64_2402` `add-cube-cbrt_binary64_2437`
294×	`associate-r_binary64_2342`
238×	`unpow-prod-down_binary64_2481`
82×	`sqr-pow_binary64_2374`
48×	`associate-/l*_binary64_2347`
34×	`sqrt-div_binary64_2419`
30×	`add-exp-log_binary64_2440` `associate-/r/_binary64_2348`
18×	`add-cbrt-cube_binary64_2438`
17×	`flip3-+_binary64_2405` `flip-+_binary64_2376`
15×	`unswap-sqr_binary64_2370` `div-inv_binary64_2399`
14×	`div-exp_binary64_2453`
8×	`pow1_binary64_2463`
6×	`cbrt-undiv_binary64_2436` `associate-/r*_binary64_2346`
5×	`prod-exp_binary64_2451`
4×	`add-log-exp_binary64_2441`
3×	`cbrt-unprod_binary64_2435` `associate-l_binary64_2343`
2×	`sqrt-pow1_binary64_2420` `pow1/2_binary64_2482` `pow-to-exp_binary64_2471` `rem-sqrt-square_binary64_2415` `pow-exp_binary64_2470`
1×	`clear-num_binary64_2401` `pow-prod-down_binary64_2473` `-commutative_binary64_2333` `associate-/l/_binary64_2349` `frac-2neg_binary64_2413` `associate-r/_binary64_2344`

Counts

4 → 721

Calls

8 calls:

92.0ms	(.f64 a (/.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
24.0ms	(/.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
0.0ms	(*.f64 k (+.f64 k 10))

series531.0ms (5.4%)

Counts

4 → 45

Calls

4 calls:

322.0ms	(.f64 a (/.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
146.0ms	(/.f64 (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))
33.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
30.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 1486 to 1249 computations (15.9% saved)

simplify325.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

766 → 766

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4957	30892
1	4957	30892

prune2.4s (24.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	766	0	766
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	766	4	770

Error

2.4b

Counts

770 → 4

Compiler

Compiled 29934 to 19684 computations (34.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 a (pow.f64 k m))
0.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_2440`
12×	`add-sqr-sqrt_binary64_2424`
9×	`add-cbrt-cube_binary64_2438`
7×	`-un-lft-identity_binary64_2402` `add-cube-cbrt_binary64_2437` `associate-r*_binary64_2342`
6×	`prod-exp_binary64_2451`
4×	`div-exp_binary64_2453` `unpow-prod-down_binary64_2481`
3×	`associate-/r_binary64_2346` `unswap-sqr_binary64_2370` `associate-l*_binary64_2343` `times-frac_binary64_2408`
2×	`cbrt-undiv_binary64_2436` `pow1_binary64_2463` `cbrt-unprod_binary64_2435` `pow-to-exp_binary64_2471` `sqr-pow_binary64_2374` `pow-exp_binary64_2470` `add-log-exp_binary64_2441` `associate-/r/_binary64_2348`
1×	`flip3-+_binary64_2405` `clear-num_binary64_2401` `-commutative_binary64_2333` `associate-/l_binary64_2347` `frac-2neg_binary64_2413` `flip-+_binary64_2376` `div-inv_binary64_2399`

Counts

2 → 50

Calls

4 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
6.0ms	(*.f64 a (pow.f64 k m))
0.0ms	(*.f64 a (pow.f64 k m))
0.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))

series421.0ms (4.3%)

Counts

2 → 24

Calls

2 calls:

234.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
187.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 643 to 559 computations (13.1% saved)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5002	1166

prune60.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	74	4	78

Error

2.4b

Counts

78 → 4

Compiler

Compiled 1177 to 632 computations (46.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	136	604
1	136	604

regimes132.0ms (1.3%)

Accuracy

Total 0.0b remaining (2.2%)

Threshold costs 0.0b (2.2%)

Compiler

Compiled 1227 to 1035 computations (15.6% 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%)

sample2.7s (28%)

Algorithm

1×

intervals

Results

493.0ms	8000×	body	128	valid
279.0ms	3336×	body	128	invalid
90.0ms	2011×	body	128	nan

Compiler

Compiled 1237 to 1033 computations (16.5% saved)

Pareto

0.6381743011914657

Details

analyze964.0ms (9.9%)

sample43.0ms (0.4%)

simplify202.0ms (2.1%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

rewrite25.0ms (0.3%)

series556.0ms (5.7%)

simplify43.0ms (0.4%)

prune122.0ms (1.2%)

localize9.0ms (0.1%)

rewrite38.0ms (0.4%)

series497.0ms (5.1%)

simplify76.0ms (0.8%)

prune176.0ms (1.8%)

localize13.0ms (0.1%)

rewrite274.0ms (2.8%)

series531.0ms (5.4%)

simplify325.0ms (3.3%)

prune2.4s (24.9%)

localize8.0ms (0.1%)

rewrite17.0ms (0.2%)

series421.0ms (4.3%)

simplify50.0ms (0.5%)

prune60.0ms (0.6%)

simplify9.0ms (0.1%)

regimes132.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (28%)

Profiling