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)

sample37.0ms (1.4%)

Algorithm

1×

intervals

Results

19.0ms	127×	body	1024	valid
4.0ms	57×	body	512	valid
3.0ms	256×	pre	128	true
3.0ms	16×	body	2048	valid
2.0ms	38×	body	256	valid
0.0ms	18×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify167.0ms (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: 59.0b

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

6×	`add-sqr-sqrt_binary64_1477`
5×	`*-un-lft-identity_binary64_1455`
3×	`add-log-exp_binary64_1494` `cancel-sign-sub-inv_binary64_1421`
2×	`difference-of-squares_binary64_1424` `add-cube-cbrt_binary64_1490`
1×	`distribute-lft-out--_binary64_1407` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `flip--_binary64_1430` `diff-log_binary64_1547` `sub-neg_binary64_1448` `flip3--_binary64_1459` `difference-of-sqr-1_binary64_1425` `add-exp-log_binary64_1493`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series17.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify100.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4841	199
1	4841	199

prune53.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	2	22

Merged error: 0.1b

Counts

22 → 2

Compiler

Compiled 508 to 393 computations (22.6% saved)

localize6.0ms (0.3%)

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)

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1477` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
9×	`associate-l_binary64_1396`
8×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
7×	`associate-r_binary64_1395`
6×	`associate-*r/_binary64_1397`
5×	`prod-exp_binary64_1504` `distribute-rgt-in_binary64_1405` `distribute-lft-in_binary64_1404` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
3×	`add-log-exp_binary64_1494` `*-commutative_binary64_1386`
2×	`flip-+_binary64_1429` `flip3-+_binary64_1458` `unswap-sqr_binary64_1423`

Counts

3 → 64

Calls

3 calls:

7.0ms	(.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)

series201.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

94.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
84.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
23.0ms	(*.f64 x 1/6)

simplify70.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4998	823
1	4998	823

prune57.0ms (2.2%)

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: 0.1b

Counts

75 → 2

Compiler

Compiled 1112 to 759 computations (31.7% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
6.8b	(-.f64 (exp.f64 x) 1)

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_1477`
25×	`*-un-lft-identity_binary64_1455`
20×	`cbrt-prod_binary64_1486`
14×	`unpow-prod-down_binary64_1534` `cube-prod_binary64_1483`
10×	`difference-of-squares_binary64_1424` `add-cube-cbrt_binary64_1490`
5×	`distribute-lft-out--_binary64_1407` `add-log-exp_binary64_1494` `difference-of-sqr-1_binary64_1425`
4×	`cube-div_binary64_1484` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
3×	`flip--_binary64_1430` `cancel-sign-sub-inv_binary64_1421` `pow-unpow_binary64_1532` `flip3--_binary64_1459`
2×	`cube-mult_binary64_1485` `unpow3_binary64_1521` `cbrt-div_binary64_1487` `sqr-pow_binary64_1427`
1×	`pow1/3_binary64_1537` `pow-pow_binary64_1527` `pow-to-exp_binary64_1524` `rem-cube-cbrt_binary64_1478` `diff-log_binary64_1547` `sub-neg_binary64_1448` `pow-exp_binary64_1523` `rem-cbrt-cube_binary64_1479`

Counts

3 → 82

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
6.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
5.0ms	(-.f64 (exp.f64 x) 1)

series98.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
18.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
17.0ms	(-.f64 (exp.f64 x) 1)

simplify77.0ms (3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4918	1119
1	4918	1119

prune67.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	90	3	93

Merged error: 0.1b

Counts

93 → 3

Compiler

Compiled 1079 to 756 computations (29.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.0b	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
0.3b	(*.f64 x 1/6)
40.0b	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1477`
13×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
12×	`pow1_binary64_1516` `cbrt-prod_binary64_1486` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
6×	`associate-r_binary64_1395` `unpow-prod-down_binary64_1534` `cube-prod_binary64_1483`
4×	`prod-exp_binary64_1504` `cube-div_binary64_1484` `add-log-exp_binary64_1494` `cbrt-unprod_binary64_1488` `associate-l_binary64_1396` `pow-prod-down_binary64_1526`
3×	`flip-+_binary64_1429` `flip3-+_binary64_1458` `pow-unpow_binary64_1532`
2×	`associate-r/_binary64_1397` `cube-mult_binary64_1485` `unpow3_binary64_1521` `cbrt-div_binary64_1487` `-commutative_binary64_1386` `sqr-pow_binary64_1427` `unswap-sqr_binary64_1423`
1×	`distribute-rgt-in_binary64_1405` `pow1/3_binary64_1537` `pow-pow_binary64_1527` `pow-to-exp_binary64_1524` `rem-cube-cbrt_binary64_1478` `distribute-lft-in_binary64_1404` `pow-exp_binary64_1523` `rem-cbrt-cube_binary64_1479`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))
4.0ms	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
4.0ms	(*.f64 x 1/6)

series175.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
34.0ms	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
29.0ms	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))
22.0ms	(*.f64 x 1/6)

simplify46.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5613	1896

prune100.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0.1b

Counts

104 → 3

Compiler

Compiled 2008 to 1343 computations (33.1% saved)

regimes24.0ms (0.9%)

Compiler: Compiled 116 to 98 computations (15.5% 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 (45.5%)

Algorithm

1×

intervals

Results

567.0ms	3930×	body	1024	valid
148.0ms	2006×	body	512	valid
98.0ms	8001×	pre	128	true
63.0ms	430×	body	2048	valid
49.0ms	1049×	body	256	valid
14.0ms	585×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 65 to 53 computations (18.5% saved)

Details

analyze3.0ms (0.1%)

sample37.0ms (1.4%)

simplify167.0ms (6.5%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.2%)

series17.0ms (0.7%)

simplify100.0ms (3.9%)

prune53.0ms (2.1%)

localize6.0ms (0.3%)

rewrite22.0ms (0.9%)

series201.0ms (7.8%)

simplify70.0ms (2.7%)

prune57.0ms (2.2%)

localize5.0ms (0.2%)

rewrite25.0ms (1%)

series98.0ms (3.8%)

simplify77.0ms (3%)

prune67.0ms (2.6%)

localize9.0ms (0.4%)

rewrite31.0ms (1.2%)

series175.0ms (6.8%)

simplify46.0ms (1.8%)

prune100.0ms (3.9%)

regimes24.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (45.5%)

Profiling