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)

sample107.0ms (1.8%)

Algorithm

1×

intervals

Results

81.0ms	145×	body	2048	valid
13.0ms	51×	body	1024	valid
5.0ms	35×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify234.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

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: 26.9b

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)
5.0b	(+.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)

series68.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
14.0ms	(-.f64 (exp.f64 x) 2)

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4859	627
1	4859	627

prune52.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

Compiler

Compiled 636 to 347 computations (45.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite34.0ms (0.5%)

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)))

series342.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
59.0ms	(*.f64 1/360 (pow.f64 x 6))
57.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
50.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4895	1259
1	4895	1259

prune101.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

Compiler

Compiled 1878 to 1324 computations (29.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
2.4b	(exp.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
32.2b	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1446`
15×	`add-exp-log_binary64_1460`
14×	`associate-r_binary64_1367`
13×	`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` `log-prod_binary64_1508` `pow1_binary64_1483`
4×	`exp-prod_binary64_1474` `log-div_binary64_1509` `sqr-pow_binary64_1397` `add-log-exp_binary64_1461`
3×	`exp-sum_binary64_1468`
2×	`flip3-+_binary64_1428` `pow-to-exp_binary64_1491` `cbrt-unprod_binary64_1455` `pow-exp_binary64_1490` `exp-diff_binary64_1470` `flip-+_binary64_1399` `log-pow_binary64_1511` `*-commutative_binary64_1358`
1×	`rem-exp-log_binary64_1462` `rem-log-exp_binary64_1463`

Counts

4 → 81

Calls

4 calls:

8.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
7.0ms	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
6.0ms	(*.f64 1/12 (pow.f64 x 4))

series308.0ms (5%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
87.0ms	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
60.0ms	(*.f64 1/360 (pow.f64 x 6))
49.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4900	1698
1	4900	1698

prune127.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

Compiler

Compiled 2325 to 1685 computations (27.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
2.4b	(pow.f64 E.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
32.2b	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1446`
16×	`add-exp-log_binary64_1460`
14×	`add-cube-cbrt_binary64_1457` `associate-r_binary64_1367` `*-un-lft-identity_binary64_1425`
11×	`unpow-prod-down_binary64_1501`
8×	`add-cbrt-cube_binary64_1458`
7×	`pow1_binary64_1483`
6×	`unswap-sqr_binary64_1393` `associate-l_binary64_1368` `prod-exp_binary64_1471` `log-prod_binary64_1508`
5×	`sqr-pow_binary64_1397`
4×	`pow-unpow_binary64_1499` `pow-exp_binary64_1490` `log-div_binary64_1509` `add-log-exp_binary64_1461`
3×	`unpow-prod-up_binary64_1500` `pow-to-exp_binary64_1491`
2×	`flip3-+_binary64_1428` `cbrt-unprod_binary64_1455` `pow-sub_binary64_1498` `flip-+_binary64_1399` `log-pow_binary64_1511` `*-commutative_binary64_1358`
1×	`pow-pow_binary64_1494` `e-exp-1_binary64_1467` `rem-log-exp_binary64_1463`

Counts

4 → 88

Calls

4 calls:

10.0ms	(pow.f64 E.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
8.0ms	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))

series337.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(pow.f64 E.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
89.0ms	(log.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
58.0ms	(*.f64 1/360 (pow.f64 x 6))
47.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5044	2105

prune127.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

Compiler

Compiled 2497 to 1755 computations (29.7% saved)

regimes67.0ms (1.1%)

Compiler: Compiled 720 to 562 computations (21.9% 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%)

sample3.7s (60.8%)

Algorithm

1×

intervals

Results

2.5s	4231×	body	2048	valid
506.0ms	1966×	body	1024	valid
144.0ms	992×	body	512	valid
37.0ms	433×	body	256	valid
17.0ms	378×	body	128	valid

Compiler

Compiled 383 to 302 computations (21.1% saved)

Details

analyze4.0ms (0.1%)

sample107.0ms (1.8%)

simplify234.0ms (3.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series68.0ms (1.1%)

simplify87.0ms (1.4%)

prune52.0ms (0.9%)

localize9.0ms (0.1%)

rewrite34.0ms (0.5%)

series342.0ms (5.6%)

simplify72.0ms (1.2%)

prune101.0ms (1.7%)

localize13.0ms (0.2%)

rewrite36.0ms (0.6%)

series308.0ms (5%)

simplify129.0ms (2.1%)

prune127.0ms (2.1%)

localize18.0ms (0.3%)

rewrite40.0ms (0.7%)

series337.0ms (5.5%)

simplify57.0ms (0.9%)

prune127.0ms (2.1%)

regimes67.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.7s (60.8%)

Profiling