Details

analyze984.0ms (15.2%)

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
7.0ms	88×	body	128	invalid
3.0ms	76×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify322.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4740	19
1	4740	19

prune5.0ms (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

Merged error: 1.8b

Counts

2 → 1

Compiler

Compiled 54 to 45 computations (16.7% 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))
1.8b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_1493`
17×	`add-sqr-sqrt_binary64_1477`
12×	`add-cbrt-cube_binary64_1491` `*-un-lft-identity_binary64_1455`
11×	`associate-r_binary64_1395`
10×	`add-cube-cbrt_binary64_1490`
7×	`prod-exp_binary64_1504`
6×	`associate-l_binary64_1396`
5×	`pow1_binary64_1516`
4×	`div-exp_binary64_1506` `unpow-prod-down_binary64_1534` `unswap-sqr_binary64_1423`
3×	`associate-/r*_binary64_1399` `add-log-exp_binary64_1494` `cbrt-unprod_binary64_1488` `times-frac_binary64_1461`
2×	`associate-r/_binary64_1397` `associate-/r/_binary64_1401` `flip-+_binary64_1429` `-commutative_binary64_1386` `pow-to-exp_binary64_1524` `sqr-pow_binary64_1427` `cbrt-undiv_binary64_1489` `flip3-+_binary64_1458` `pow-exp_binary64_1523`
1×	`distribute-lft-out_binary64_1406` `distribute-rgt-in_binary64_1405` `clear-num_binary64_1454` `frac-2neg_binary64_1466` `associate-/l*_binary64_1400` `distribute-lft-in_binary64_1404` `div-inv_binary64_1452` `pow-prod-down_binary64_1526`

Counts

3 → 73

Calls

3 calls:

10.0ms	(*.f64 k (+.f64 k 10))
8.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
7.0ms	(*.f64 a (pow.f64 k m))

series422.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

251.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
104.0ms	(*.f64 a (pow.f64 k m))
67.0ms	(*.f64 k (+.f64 k 10))

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4962	1205
1	4962	1205

prune143.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 1.8b

Counts

83 → 4

Compiler

Compiled 2595 to 1638 computations (36.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
1.8b	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_1493`
30×	`prod-exp_binary64_1504`
16×	`div-exp_binary64_1506`
13×	`add-cbrt-cube_binary64_1491`
11×	`pow-exp_binary64_1523`
9×	`add-sqr-sqrt_binary64_1477` `cbrt-prod_binary64_1486` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
8×	`pow-to-exp_binary64_1524`
4×	`pow1_binary64_1516` `add-log-exp_binary64_1494`
3×	`pow1/3_binary64_1537` `associate-/r*_binary64_1399` `cbrt-undiv_binary64_1489` `cbrt-unprod_binary64_1488` `times-frac_binary64_1461`
2×	`associate-/r/_binary64_1401`
1×	`flip-+_binary64_1429` `clear-num_binary64_1454` `frac-2neg_binary64_1466` `associate-/l*_binary64_1400` `flip3-+_binary64_1458` `div-inv_binary64_1452`

Counts

4 → 71

Calls

4 calls:

15.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)

series1.1s (16.9%)

Counts

4 → 12

Calls

4 calls:

645.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
151.0ms	(cbrt.f64 k)
150.0ms	(cbrt.f64 k)
148.0ms	(cbrt.f64 k)

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5170	1630

prune116.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 1.8b

Counts

87 → 4

Compiler

Compiled 2453 to 1353 computations (44.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
0.4b	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
1.6b	(.f64 (.f64 a (pow.f64 k m)) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-exp-log_binary64_1493`
32×	`prod-exp_binary64_1504`
31×	`add-sqr-sqrt_binary64_1477`
26×	`associate-r_binary64_1395` `*-un-lft-identity_binary64_1455`
24×	`add-cube-cbrt_binary64_1490`
22×	`add-cbrt-cube_binary64_1491`
18×	`times-frac_binary64_1461`
10×	`div-exp_binary64_1506`
9×	`pow1_binary64_1516`
8×	`cbrt-unprod_binary64_1488`
7×	`associate-l_binary64_1396`
5×	`1-exp_binary64_1499` `pow-to-exp_binary64_1524` `pow-exp_binary64_1523` `rec-exp_binary64_1505`
4×	`associate-/r/_binary64_1401` `add-log-exp_binary64_1494` `unpow-prod-down_binary64_1534` `unswap-sqr_binary64_1423`
3×	`associate-r/_binary64_1397` `flip-+_binary64_1429` `associate-/r_binary64_1399` `-commutative_binary64_1386` `cbrt-undiv_binary64_1489` `associate-/l_binary64_1400` `flip3-+_binary64_1458`
2×	`sqr-pow_binary64_1427` `div-inv_binary64_1452` `pow-prod-down_binary64_1526`
1×	`distribute-lft-out_binary64_1406` `inv-pow_binary64_1540` `distribute-rgt-in_binary64_1405` `clear-num_binary64_1454` `pow-flip_binary64_1529` `un-div-inv_binary64_1453` `frac-2neg_binary64_1466` `distribute-lft-in_binary64_1404`

Counts

4 → 128

Calls

4 calls:

14.0ms	(.f64 (.f64 a (pow.f64 k m)) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
7.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))
6.0ms	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))

series418.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(.f64 (.f64 a (pow.f64 k m)) (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
103.0ms	(*.f64 a (pow.f64 k m))
52.0ms	(*.f64 k (+.f64 k 10))
24.0ms	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4968	2334
1	4968	2334

prune138.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	140	4	144

Merged error: 1.8b

Counts

144 → 4

Compiler

Compiled 3003 to 1791 computations (40.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.1b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
15.2b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.2b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite90.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`add-sqr-sqrt_binary64_1477`
134×	`times-frac_binary64_1461`
76×	`sqrt-prod_binary64_1471` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
48×	`associate-r_binary64_1395`
45×	`unpow-prod-down_binary64_1534`
33×	`add-exp-log_binary64_1493`
24×	`associate-l_binary64_1396`
21×	`unswap-sqr_binary64_1423`
19×	`sqr-pow_binary64_1427`
18×	`add-cbrt-cube_binary64_1491`
13×	`div-exp_binary64_1506`
10×	`sqrt-div_binary64_1472`
8×	`prod-exp_binary64_1504` `pow1_binary64_1516`
7×	`associate-/l*_binary64_1400`
6×	`associate-/r/_binary64_1401` `associate-/r*_binary64_1399`
5×	`flip-+_binary64_1429` `cbrt-undiv_binary64_1489` `flip3-+_binary64_1458`
4×	`add-log-exp_binary64_1494` `cbrt-unprod_binary64_1488`
3×	`pow-to-exp_binary64_1524` `div-inv_binary64_1452` `pow-exp_binary64_1523`
2×	`sqrt-pow1_binary64_1473` `rem-sqrt-square_binary64_1468` `pow1/2_binary64_1535`
1×	`associate-r/_binary64_1397` `clear-num_binary64_1454` `frac-times_binary64_1465` `-commutative_binary64_1386` `frac-2neg_binary64_1466` `associate-*l/_binary64_1398` `pow-prod-down_binary64_1526`

Counts

4 → 218

Calls

4 calls:

40.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
8.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series420.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
128.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
27.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
26.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4981	7880
1	4981	7880

prune435.0ms (6.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	230	4	234

Merged error: 1.8b

Counts

234 → 4

Compiler

Compiled 7937 to 5188 computations (34.6% saved)

regimes39.0ms (0.6%)

Compiler: Compiled 234 to 198 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample1.3s (20.5%)

Algorithm

1×

intervals

Results

514.0ms	8000×	body	128	valid
271.0ms	3157×	body	128	invalid
92.0ms	1966×	body	128	nan

Compiler

Compiled 107 to 89 computations (16.8% saved)

Details

analyze984.0ms (15.2%)

sample40.0ms (0.6%)

simplify322.0ms (5%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite31.0ms (0.5%)

series422.0ms (6.5%)

simplify87.0ms (1.3%)

prune143.0ms (2.2%)

localize15.0ms (0.2%)

rewrite27.0ms (0.4%)

series1.1s (16.9%)

simplify46.0ms (0.7%)

prune116.0ms (1.8%)

localize11.0ms (0.2%)

rewrite46.0ms (0.7%)

series418.0ms (6.5%)

simplify67.0ms (1%)

prune138.0ms (2.1%)

localize12.0ms (0.2%)

rewrite90.0ms (1.4%)

series420.0ms (6.5%)

simplify113.0ms (1.7%)

prune435.0ms (6.7%)

regimes39.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (20.5%)

Profiling