Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample34.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	118×	body	1024	valid
6.0ms	80×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	33×	body	256	valid
1.0ms	9×	body	2048	valid
0.0ms	16×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify171.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

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

Merged error: 59.5b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.8b	(-.f64 (exp.f64 x) 1)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1446`
4×	`*-un-lft-identity_binary64_1425`
3×	`add-log-exp_binary64_1461`
2×	`difference-of-squares_binary64_1394`
1×	`flip--_binary64_1400` `diff-log_binary64_1514` `add-cube-cbrt_binary64_1457` `distribute-lft-out--_binary64_1379` `sub-neg_binary64_1418` `difference-of-sqr-1_binary64_1395` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `flip3--_binary64_1429` `add-exp-log_binary64_1460`

Counts

1 → 15

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

series18.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

18.0ms

(-.f64 (exp.f64 x) 1)

simplify97.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4892	196
1	4892	196

prune26.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

Compiler

Compiled 171 to 109 computations (36.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460`
9×	`associate-l_binary64_1368`
8×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
7×	`associate-r_binary64_1367`
6×	`associate-*r/_binary64_1369`
5×	`distribute-lft-in_binary64_1376` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `distribute-rgt-in_binary64_1377` `pow-prod-down_binary64_1493`
3×	`add-log-exp_binary64_1461` `*-commutative_binary64_1358`
2×	`unswap-sqr_binary64_1393` `flip3-+_binary64_1428` `flip-+_binary64_1399`

Counts

3 → 64

Calls

3 calls:

8.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series194.0ms (7.4%)

Counts

3 → 9

Calls

3 calls:

94.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
79.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
21.0ms	(*.f64 x 1/6)

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	823
1	4974	823

prune59.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0.0b

Counts

75 → 2

Compiler

Compiled 1111 to 758 computations (31.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
6.8b	(-.f64 (exp.f64 x) 1)

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1446`
10×	`*-un-lft-identity_binary64_1425`
7×	`log-prod_binary64_1508` `exp-sum_binary64_1468`
4×	`add-cube-cbrt_binary64_1457` `exp-prod_binary64_1474` `difference-of-squares_binary64_1394` `add-log-exp_binary64_1461`
3×	`pow1_binary64_1483`
2×	`flip--_binary64_1400` `distribute-lft-out--_binary64_1379` `difference-of-sqr-1_binary64_1395` `add-cbrt-cube_binary64_1458` `exp-diff_binary64_1470` `log-div_binary64_1509` `flip3--_binary64_1429` `add-exp-log_binary64_1460`
1×	`diff-log_binary64_1514` `sub-neg_binary64_1418` `log-pow_binary64_1511` `rem-exp-log_binary64_1462`

Counts

2 → 36

Calls

2 calls:

6.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
5.0ms	(-.f64 (exp.f64 x) 1)

series148.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

130.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
18.0ms	(-.f64 (exp.f64 x) 1)

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5215	452

prune26.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

Compiler

Compiled 426 to 282 computations (33.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))))
0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.3b	(*.f64 x 1/6)
2.7b	(exp.f64 (log.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1446` `pow1_binary64_1483`
12×	`add-exp-log_binary64_1460`
11×	`add-cbrt-cube_binary64_1458`
10×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
6×	`associate-r_binary64_1367` `log-prod_binary64_1508`
4×	`associate-l_binary64_1368` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `exp-prod_binary64_1474` `log-div_binary64_1509` `add-log-exp_binary64_1461` `pow-prod-down_binary64_1493`
3×	`flip3-+_binary64_1428` `flip-+_binary64_1399` `exp-sum_binary64_1468`
2×	`unswap-sqr_binary64_1393` `associate-r/_binary64_1369` `exp-diff_binary64_1470` `log-pow_binary64_1511` `-commutative_binary64_1358`
1×	`distribute-lft-in_binary64_1376` `distribute-rgt-in_binary64_1377` `rem-exp-log_binary64_1462` `rem-log-exp_binary64_1463`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
5.0ms	(exp.f64 (log.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))))
4.0ms	(*.f64 x 1/6)
3.0ms	(log.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))))

series222.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
67.0ms	(exp.f64 (log.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))))
41.0ms	(log.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))))
20.0ms	(*.f64 x 1/6)

simplify104.0ms (4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4858	1443
1	4858	1443

prune83.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

Compiler

Compiled 1587 to 1058 computations (33.3% saved)

regimes24.0ms (0.9%)

Compiler: Compiled 98 to 83 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.2s (44.6%)

Algorithm

1×

intervals

Results

565.0ms	4027×	body	1024	valid
150.0ms	1978×	body	512	valid
97.0ms	8002×	pre	128	true
63.0ms	410×	body	2048	valid
48.0ms	1006×	body	256	valid
14.0ms	579×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 59 to 48 computations (18.6% saved)

Details

analyze3.0ms (0.1%)

sample34.0ms (1.3%)

simplify171.0ms (6.5%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.2%)

series18.0ms (0.7%)

simplify97.0ms (3.7%)

prune26.0ms (1%)

localize6.0ms (0.2%)

rewrite23.0ms (0.9%)

series194.0ms (7.4%)

simplify67.0ms (2.6%)

prune59.0ms (2.3%)

localize5.0ms (0.2%)

rewrite14.0ms (0.5%)

series148.0ms (5.7%)

simplify75.0ms (2.9%)

prune26.0ms (1%)

localize9.0ms (0.3%)

rewrite28.0ms (1.1%)

series222.0ms (8.5%)

simplify104.0ms (4%)

prune83.0ms (3.2%)

regimes24.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (44.6%)

Profiling