Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	pre	128	true
4.0ms	256×	body	128	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify97.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1403`
8×	`pow1_binary64_1464`
7×	`add-sqr-sqrt_binary64_1425`
6×	`flip3-+_binary64_1406` `swap-sqr_binary64_1370` `flip-+_binary64_1377` `distribute-lft-out_binary64_1354`
5×	`add-cube-cbrt_binary64_1438`
4×	`associate-l_binary64_1344` `frac-times_binary64_1413` `associate-r_binary64_1343`
3×	`add-exp-log_binary64_1441` `add-cbrt-cube_binary64_1439`
2×	`associate-r/_binary64_1345` `associate-l/_binary64_1346`
1×	`unswap-sqr_binary64_1371` `prod-exp_binary64_1452` `pow-sqr_binary64_1376` `pow-plus_binary64_1466` `distribute-rgt-in_binary64_1353` `distribute-lft-in_binary64_1352` `pow2_binary64_1484` `add-log-exp_binary64_1442` `pow-prod-down_binary64_1474` `*-commutative_binary64_1334` `pow-prod-up_binary64_1473` `cbrt-unprod_binary64_1436`

Counts

1 → 40

Calls

2 calls:

10.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
0.0ms	(*.f64 (+.f64 a b) (+.f64 a b))

series90.0ms (2.9%)

Counts

1 → 18

Calls

1 calls:

89.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 228 to 204 computations (10.5% saved)

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4969	634
1	4969	634

prune46.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Compiler

Compiled 638 to 238 computations (62.7% saved)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 64 to 36 computations (43.8% saved)

localize20.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.0b	(*.f64 b (-.f64 b a))
0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
0.0b	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.3b	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.3b	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
0.3b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))

rewrite81.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_1403`
20×	`add-exp-log_binary64_1441` `add-cbrt-cube_binary64_1439`
18×	`add-sqr-sqrt_binary64_1425`
16×	`frac-times_binary64_1413`
14×	`cancel-sign-sub-inv_binary64_1369`
13×	`flip3-+_binary64_1406` `flip-+_binary64_1377`
12×	`associate-l_binary64_1344` `add-cube-cbrt_binary64_1438` `flip--_binary64_1378` `flip3--_binary64_1407`
10×	`distribute-rgt-in_binary64_1353` `distribute-lft-in_binary64_1352`
9×	`associate-r_binary64_1343`
8×	`associate-/l/_binary64_1350` `associate-/r/_binary64_1349` `pow1_binary64_1464` `associate-r/_binary64_1345` `associate-+r+_binary64_1335` `associate-l/_binary64_1346`
6×	`prod-exp_binary64_1452` `sub-neg_binary64_1396` `add-log-exp_binary64_1442` `cbrt-unprod_binary64_1436`
5×	`distribute-lft-out_binary64_1354`
4×	`cube-prod_binary64_1431` `cbrt-undiv_binary64_1437` `unpow-prod-down_binary64_1482` `div-exp_binary64_1454`
2×	`unswap-sqr_binary64_1371` `difference-of-squares_binary64_1372` `pow-prod-down_binary64_1474` `*-commutative_binary64_1334`
1×	`times-frac_binary64_1409` `associate-/r_binary64_1347` `frac-2neg_binary64_1414` `div-inv_binary64_1400` `associate-/l_binary64_1348` `+-commutative_binary64_1333` `clear-num_binary64_1402` `sum-log_binary64_1494` `sum-cubes_binary64_1404` `distribute-lft-out--_binary64_1355`

Counts

4 → 129

Calls

8 calls:

28.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
20.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
11.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
5.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.0ms	(+.f64 (pow.f64 a 3) (pow.f64 b 3))

series759.0ms (24.3%)

Counts

4 → 63

Calls

4 calls:

463.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
120.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
89.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
86.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))

Compiler

Compiled 1890 to 1377 computations (27.1% saved)

simplify101.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4977	4666
1	4977	4666

prune222.0ms (7.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	193	3	196

Error

Counts

196 → 3

Compiler

Compiled 6361 to 2121 computations (66.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))
0.0b	(.f64 b (+.f64 b (.f64 a 2)))
0.0b	(.f64 b (+.f64 b (.f64 a 2)))
0.0b	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1425`
4×	`*-un-lft-identity_binary64_1403` `pow1_binary64_1464` `add-exp-log_binary64_1441` `add-cube-cbrt_binary64_1438` `add-cbrt-cube_binary64_1439` `add-log-exp_binary64_1442`
3×	`associate-l_binary64_1344` `associate-r_binary64_1343`
2×	`flip3-+_binary64_1406` `distribute-rgt-in_binary64_1353` `distribute-lft-in_binary64_1352` `associate-*r/_binary64_1345` `flip-+_binary64_1377` `associate-+r+_binary64_1335`
1×	`unswap-sqr_binary64_1371` `prod-exp_binary64_1452` `+-commutative_binary64_1333` `sum-log_binary64_1494` `pow-prod-down_binary64_1474` `*-commutative_binary64_1334` `cbrt-unprod_binary64_1436`

Counts

2 → 35

Calls

4 calls:

6.0ms	(.f64 b (+.f64 b (.f64 a 2)))
4.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))
0.0ms	(.f64 b (+.f64 b (.f64 a 2)))
0.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))

series244.0ms (7.8%)

Counts

2 → 30

Calls

2 calls:

153.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))
90.0ms	(.f64 b (+.f64 b (.f64 a 2)))

Compiler

Compiled 432 to 363 computations (16% saved)

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5032	841

prune42.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 860 to 432 computations (49.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	222
1	92	222

regimes102.0ms (3.3%)

Accuracy

Total 0.0b remaining (95.9%)

Threshold costs 0.0b (95.9%)

Compiler

Compiled 641 to 455 computations (29% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample1.1s (35.7%)

Algorithm

1×

intervals

Results

183.0ms	8000×	pre	128	true
137.0ms	8000×	body	128	valid

Compiler

Compiled 454 to 306 computations (32.6% saved)

Pareto

0.9783889284574957

Details

analyze2.0ms (0.1%)

sample19.0ms (0.6%)

simplify97.0ms (3.1%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite13.0ms (0.4%)

series90.0ms (2.9%)

simplify60.0ms (1.9%)

prune46.0ms (1.5%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune4.0ms (0.1%)

localize20.0ms (0.6%)

rewrite81.0ms (2.6%)

series759.0ms (24.3%)

simplify101.0ms (3.2%)

prune222.0ms (7.1%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series244.0ms (7.8%)

simplify59.0ms (1.9%)

prune42.0ms (1.3%)

simplify5.0ms (0.2%)

regimes102.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.7%)

Profiling