Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample105.0ms (1.7%)

Algorithm

1×

intervals

Results

76.0ms	131×	body	2048	valid
15.0ms	56×	body	1024	valid
5.0ms	35×	body	512	valid
2.0ms	19×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify228.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5087	13

prune2.0ms (0%)

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: 30.6b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
5.5b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`
4×	`add-sqr-sqrt_binary64_1446` `frac-add_binary64_1433`
3×	`flip--_binary64_1400` `flip3--_binary64_1429`
2×	`diff-log_binary64_1514` `add-cube-cbrt_binary64_1457` `distribute-lft-out--_binary64_1379` `sub-neg_binary64_1418` `neg-sub0_binary64_1420` `distribute-lft-out_binary64_1378` `add-cbrt-cube_binary64_1458` `exp-diff_binary64_1470` `sum-log_binary64_1513` `pow1_binary64_1483` `exp-neg_binary64_1469` `add-exp-log_binary64_1460`
1×	`flip3-+_binary64_1428` `associate-+l+_binary64_1360` `difference-of-squares_binary64_1394` `flip-+_binary64_1399` `associate-+l-_binary64_1362` `+-commutative_binary64_1357`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

series66.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
14.0ms	(-.f64 (exp.f64 x) 2)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4859	627
1	4859	627

prune50.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

Compiler

Compiled 602 to 325 computations (46% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
0.0b	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1446`
14×	`associate-r_binary64_1367` `add-exp-log_binary64_1460`
11×	`add-log-exp_binary64_1461`
10×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
8×	`unpow-prod-down_binary64_1501` `add-cbrt-cube_binary64_1458`
6×	`unswap-sqr_binary64_1393` `associate-l_binary64_1368` `prod-exp_binary64_1471`
4×	`sum-log_binary64_1513` `pow1_binary64_1483` `sqr-pow_binary64_1397`
2×	`flip3-+_binary64_1428` `pow-to-exp_binary64_1491` `cbrt-unprod_binary64_1455` `pow-exp_binary64_1490` `flip-+_binary64_1399` `+-commutative_binary64_1357` `*-commutative_binary64_1358`
1×	`associate-+r+_binary64_1359`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))

series343.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
57.0ms	(*.f64 1/360 (pow.f64 x 6))
54.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
48.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4895	1259
1	4895	1259

prune97.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0b

Counts

89 → 4

Compiler

Compiled 1828 to 1285 computations (29.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
28.8b	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
28.8b	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
28.8b	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1453`
23×	`add-sqr-sqrt_binary64_1446`
18×	`cbrt-div_binary64_1454`
15×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
11×	`pow1_binary64_1483`
9×	`flip3-+_binary64_1428` `pow1/3_binary64_1504` `flip-+_binary64_1399`
6×	`associate-l_binary64_1368` `associate-r_binary64_1367` `swap-sqr_binary64_1392` `add-exp-log_binary64_1460`
4×	`unswap-sqr_binary64_1393` `add-cbrt-cube_binary64_1458` `add-log-exp_binary64_1461` `frac-times_binary64_1435`
2×	`associate-r/_binary64_1369` `pow-sqr_binary64_1398` `associate-l/_binary64_1370` `pow-prod-up_binary64_1492` `pow-prod-down_binary64_1493`
1×	`prod-exp_binary64_1471` `pow-plus_binary64_1485` `cbrt-unprod_binary64_1455` `pow2_binary64_1503` `*-commutative_binary64_1358`

Counts

4 → 87

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

series548.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
143.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
131.0ms	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
130.0ms	(cbrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

simplify112.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4910	4058
1	4910	4058

prune339.0ms (5.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

Compiler

Compiled 5992 to 4304 computations (28.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
0.0b	(-.f64 (exp.f64 x) 2)
0.1b	(pow.f64 (exp.f64 x) -2)
4.9b	(-.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) -2))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1446`
11×	`*-un-lft-identity_binary64_1425`
10×	`add-log-exp_binary64_1461`
7×	`add-cube-cbrt_binary64_1457`
5×	`sub-neg_binary64_1418` `difference-of-squares_binary64_1394` `pow1_binary64_1483`
4×	`pow-pow_binary64_1494` `unpow-prod-down_binary64_1501` `add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
3×	`flip--_binary64_1400` `diff-log_binary64_1514` `pow-unpow_binary64_1499` `exp-prod_binary64_1474` `flip3--_binary64_1429`
2×	`distribute-lft-out--_binary64_1379` `associate--l+_binary64_1364` `sqr-pow_binary64_1397`
1×	`distribute-lft-in_binary64_1376` `pow-to-exp_binary64_1491` `pow-exp_binary64_1490` `distribute-rgt-in_binary64_1377`

Counts

4 → 62

Calls

4 calls:

15.0ms	(-.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) -2))
4.0ms	(-.f64 (exp.f64 x) 2)
4.0ms	(-.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) -2)

series214.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(-.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) -2))
49.0ms	(pow.f64 (exp.f64 x) -2)
13.0ms	(-.f64 (exp.f64 x) 2)
13.0ms	(-.f64 (exp.f64 x) 2)

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5422	1019

prune91.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0b

Counts

78 → 4

Compiler

Compiled 2033 to 1115 computations (45.2% saved)

regimes14.0ms (0.2%)

Compiler: Compiled 119 to 85 computations (28.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample3.4s (56.8%)

Algorithm

1×

intervals

Results

2.4s	4138×	body	2048	valid
501.0ms	1926×	body	1024	valid
140.0ms	1004×	body	512	valid
45.0ms	534×	body	256	valid
20.0ms	398×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 149 to 112 computations (24.8% saved)

Details

analyze9.0ms (0.1%)

sample105.0ms (1.7%)

simplify228.0ms (3.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series66.0ms (1.1%)

simplify90.0ms (1.5%)

prune50.0ms (0.8%)

localize9.0ms (0.2%)

rewrite33.0ms (0.6%)

series343.0ms (5.7%)

simplify71.0ms (1.2%)

prune97.0ms (1.6%)

localize15.0ms (0.2%)

rewrite60.0ms (1%)

series548.0ms (9.1%)

simplify112.0ms (1.9%)

prune339.0ms (5.6%)

localize11.0ms (0.2%)

rewrite33.0ms (0.6%)

series214.0ms (3.5%)

simplify44.0ms (0.7%)

prune91.0ms (1.5%)

regimes14.0ms (0.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (56.8%)

Profiling