Details

analyze4.0ms (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)

sample106.0ms (1.6%)

Algorithm

1×

intervals

Results

78.0ms	138×	body	2048	valid
17.0ms	70×	body	1024	valid
4.0ms	26×	body	512	valid
1.0ms	15×	body	256	valid
0.0ms	7×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify249.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

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: 28.5b

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)
2.6b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1455`
9×	`add-log-exp_binary64_1494`
6×	`add-sqr-sqrt_binary64_1477` `cancel-sign-sub-inv_binary64_1421`
4×	`associate-+l+_binary64_1388` `add-cube-cbrt_binary64_1490` `frac-add_binary64_1463`
3×	`flip--_binary64_1430` `flip3--_binary64_1459`
2×	`distribute-lft-out_binary64_1406` `distribute-lft-out--_binary64_1407` `pow1_binary64_1516` `neg-sub0_binary64_1450` `exp-diff_binary64_1503` `add-cbrt-cube_binary64_1491` `exp-neg_binary64_1502` `diff-log_binary64_1547` `sub-neg_binary64_1448` `sum-log_binary64_1546` `add-exp-log_binary64_1493`
1×	`flip-+_binary64_1429` `difference-of-squares_binary64_1424` `associate-+l-_binary64_1390` `flip3-+_binary64_1458` `+-commutative_binary64_1385`

Counts

2 → 39

Calls

2 calls:

10.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
5.0ms	(-.f64 (exp.f64 x) 2)

series72.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
17.0ms	(-.f64 (exp.f64 x) 2)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4904	654
1	4904	654

prune77.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Merged error: 0.1b

Counts

46 → 3

Compiler

Compiled 1174 to 734 computations (37.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1477`
14×	`associate-r_binary64_1395`
13×	`add-exp-log_binary64_1493`
9×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
8×	`unpow-prod-down_binary64_1534`
7×	`add-cbrt-cube_binary64_1491`
6×	`prod-exp_binary64_1504` `associate-l_binary64_1396` `unswap-sqr_binary64_1423`
5×	`add-log-exp_binary64_1494`
4×	`sqr-pow_binary64_1427`
3×	`pow1_binary64_1516`
2×	`*-commutative_binary64_1386` `pow-to-exp_binary64_1524` `cbrt-unprod_binary64_1488` `pow-exp_binary64_1523`
1×	`flip-+_binary64_1429` `flip3-+_binary64_1458` `sum-log_binary64_1546` `+-commutative_binary64_1385`

Counts

3 → 61

Calls

3 calls:

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)))

series287.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

180.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
59.0ms	(*.f64 1/360 (pow.f64 x 6))
48.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4913	810
1	4913	810

prune76.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0.1b

Counts

73 → 3

Compiler

Compiled 1406 to 990 computations (29.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
0.0b	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
0.0b	(pow.f64 (exp.f64 x) 3)
2.1b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1455`
12×	`add-sqr-sqrt_binary64_1477`
11×	`add-log-exp_binary64_1494`
10×	`add-cube-cbrt_binary64_1490`
7×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491`
5×	`add-exp-log_binary64_1493`
4×	`pow-pow_binary64_1527` `sum-log_binary64_1546`
3×	`distribute-lft-out_binary64_1406` `associate-r_binary64_1395` `flip-+_binary64_1429` `unpow-prod-down_binary64_1534` `exp-prod_binary64_1507` `flip3-+_binary64_1458` `cube-prod_binary64_1483` `pow-unpow_binary64_1532` `associate-l_binary64_1396` `associate-+r+_binary64_1387`
2×	`associate-*r/_binary64_1397` `distribute-rgt-in_binary64_1405` `distribute-lft-in_binary64_1404` `+-commutative_binary64_1385`
1×	`prod-exp_binary64_1504` `cube-mult_binary64_1485` `unpow3_binary64_1521` `*-commutative_binary64_1386` `pow-to-exp_binary64_1524` `sqr-pow_binary64_1427` `rem-cube-cbrt_binary64_1478` `cbrt-unprod_binary64_1488` `pow-exp_binary64_1523` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

4 → 76

Calls

4 calls:

12.0ms	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
7.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

series293.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
85.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
54.0ms	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
34.0ms	(pow.f64 (exp.f64 x) 3)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5418	1512

prune153.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	87	4	91

Merged error: 0.1b

Counts

91 → 4

Compiler

Compiled 3549 to 2118 computations (40.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 3)
2.0b	(+.f64 64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))) 3))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1455`
16×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490`
12×	`pow-pow_binary64_1527`
9×	`unpow-prod-down_binary64_1534` `exp-prod_binary64_1507` `cube-prod_binary64_1483` `pow-unpow_binary64_1532`
7×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491`
6×	`add-log-exp_binary64_1494`
4×	`add-exp-log_binary64_1493`
3×	`cube-mult_binary64_1485` `unpow3_binary64_1521` `pow-to-exp_binary64_1524` `sqr-pow_binary64_1427` `rem-cube-cbrt_binary64_1478` `pow-exp_binary64_1523`
1×	`distribute-lft-out_binary64_1406` `flip-+_binary64_1429` `flip3-+_binary64_1458` `sum-log_binary64_1546` `+-commutative_binary64_1385`

Counts

4 → 90

Calls

4 calls:

6.0ms	(+.f64 64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))) 3))
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 3)

series1.1s (17.1%)

Counts

4 → 12

Calls

4 calls:

1.0s	(+.f64 64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))) 3))
41.0ms	(pow.f64 (exp.f64 x) 3)
35.0ms	(pow.f64 (exp.f64 x) 3)
34.0ms	(pow.f64 (exp.f64 x) 3)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	1196

prune333.0ms (5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	101	5	106

Merged error: 0.1b

Counts

106 → 5

Compiler

Compiled 7444 to 4522 computations (39.3% saved)

regimes21.0ms (0.3%)

Compiler: Compiled 221 to 146 computations (33.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample3.5s (52%)

Algorithm

1×

intervals

Results

2.4s	4207×	body	2048	valid
500.0ms	1972×	body	1024	valid
133.0ms	964×	body	512	valid
41.0ms	491×	body	256	valid
17.0ms	366×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 251 to 173 computations (31.1% saved)

Details

analyze4.0ms (0.1%)

sample106.0ms (1.6%)

simplify249.0ms (3.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.3%)

series72.0ms (1.1%)

simplify58.0ms (0.9%)

prune77.0ms (1.2%)

localize10.0ms (0.1%)

rewrite23.0ms (0.3%)

series287.0ms (4.3%)

simplify47.0ms (0.7%)

prune76.0ms (1.1%)

localize14.0ms (0.2%)

rewrite35.0ms (0.5%)

series293.0ms (4.4%)

simplify67.0ms (1%)

prune153.0ms (2.3%)

localize23.0ms (0.3%)

rewrite33.0ms (0.5%)

series1.1s (17.1%)

simplify56.0ms (0.8%)

prune333.0ms (5%)

regimes21.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (52%)

Profiling