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 (1.4%)

Algorithm

1×

intervals

Results

17.0ms	130×	body	1024	valid
4.0ms	67×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	11×	body	2048	valid
1.0ms	33×	body	256	valid
0.0ms	15×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify97.0ms (3.9%)

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

Error

58.9b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.4b	(-.f64 (exp.f64 x) 1)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1464`
5×	`*-un-lft-identity_binary64_1442`
3×	`cancel-sign-sub-inv_binary64_1408` `add-log-exp_binary64_1481`
2×	`difference-of-squares_binary64_1411` `add-cube-cbrt_binary64_1477`
1×	`add-cbrt-cube_binary64_1478` `sub-neg_binary64_1435` `flip3--_binary64_1446` `difference-of-sqr-1_binary64_1412` `add-exp-log_binary64_1480` `flip--_binary64_1417` `diff-log_binary64_1534` `pow1_binary64_1503` `distribute-lft-out--_binary64_1394`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series9.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify75.0ms (3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4935	199
1	4935	199

prune24.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Error

0.0b

Counts

22 → 4

Compiler

Compiled 194 to 124 computations (36.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.4b	(*.f64 x 1/6)

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503`
9×	`associate-l_binary64_1383`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382`
6×	`associate-*r/_binary64_1384`
5×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491`
3×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `unswap-sqr_binary64_1410`

Counts

3 → 64

Calls

3 calls:

8.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
7.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
4.0ms	(*.f64 x 1/6)

series86.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

40.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
35.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
11.0ms	(*.f64 x 1/6)

simplify70.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4922	823
1	4922	823

prune57.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

0.0b

Counts

77 → 4

Compiler

Compiled 1122 to 767 computations (31.6% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 2)
0.2b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
5.3b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite35.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64_1442`
33×	`add-sqr-sqrt_binary64_1464`
32×	`times-frac_binary64_1448`
24×	`difference-of-sqr--1_binary64_1413`
21×	`add-cube-cbrt_binary64_1477`
16×	`distribute-lft-out_binary64_1393`
9×	`unpow-prod-down_binary64_1521`
8×	`associate-/l*_binary64_1387` `add-log-exp_binary64_1481`
7×	`unpow2_binary64_1507` `sqr-pow_binary64_1414`
6×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
5×	`pow1_binary64_1503`
4×	`associate-/r*_binary64_1386` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-pow_binary64_1514`
3×	`pow-unpow_binary64_1519` `exp-prod_binary64_1494`
2×	`sum-log_binary64_1533` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `+-commutative_binary64_1372`
1×	`cbrt-undiv_binary64_1476` `pow-exp_binary64_1510` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `div-exp_binary64_1493` `pow-to-exp_binary64_1511`

Counts

4 → 109

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
4.0ms	(+.f64 (exp.f64 x) 1)
3.0ms	(pow.f64 (exp.f64 x) 2)

series82.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
17.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
11.0ms	(pow.f64 (exp.f64 x) 2)
6.0ms	(+.f64 (exp.f64 x) 1)

simplify70.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5077	1939

prune100.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	121	4	125

Error

0.0b

Counts

125 → 4

Compiler

Compiled 1937 to 1263 computations (34.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.2b	(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
5.3b	(+.f64 (exp.f64 (+.f64 x x)) -1)

rewrite32.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_1442`
24×	`times-frac_binary64_1448`
21×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477`
14×	`distribute-lft-out_binary64_1393`
12×	`difference-of-sqr--1_binary64_1413`
7×	`add-log-exp_binary64_1481`
6×	`associate-/l*_binary64_1387` `exp-sum_binary64_1488`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
4×	`associate-/r*_binary64_1386` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`pow1_binary64_1503`
2×	`sum-log_binary64_1533` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `+-commutative_binary64_1372`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

3 → 76

Calls

3 calls:

13.0ms	(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
7.0ms	(+.f64 (exp.f64 (+.f64 x x)) -1)
6.0ms	(+.f64 (exp.f64 x) 1)

series56.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
12.0ms	(+.f64 (exp.f64 (+.f64 x x)) -1)
6.0ms	(+.f64 (exp.f64 x) 1)

simplify73.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4942	1496
1	4942	1496

prune64.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	85	4	89

Error

0.0b

Counts

89 → 4

Compiler

Compiled 1377 to 762 computations (44.7% saved)

regimes112.0ms (4.5%)

Accuracy

Total 0.3b remaining (91.1%)

Threshold costs 0.3b (91.1%)

Compiler

Compiled 1092 to 867 computations (20.6% 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%)

sample1.4s (54.3%)

Algorithm

1×

intervals

Results

504.0ms	3979×	body	1024	valid
132.0ms	2000×	body	512	valid
102.0ms	8000×	pre	128	true
63.0ms	449×	body	2048	valid
41.0ms	1007×	body	256	valid
15.0ms	565×	body	128	valid

Compiler

Compiled 314 to 246 computations (21.7% saved)

Details

analyze3.0ms (0.1%)

sample34.0ms (1.4%)

simplify97.0ms (3.9%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.2%)

series9.0ms (0.4%)

simplify75.0ms (3%)

prune24.0ms (1%)

localize6.0ms (0.2%)

rewrite23.0ms (0.9%)

series86.0ms (3.4%)

simplify70.0ms (2.8%)

prune57.0ms (2.3%)

localize7.0ms (0.3%)

rewrite35.0ms (1.4%)

series82.0ms (3.3%)

simplify70.0ms (2.8%)

prune100.0ms (4%)

localize7.0ms (0.3%)

rewrite32.0ms (1.3%)

series56.0ms (2.3%)

simplify73.0ms (2.9%)

prune64.0ms (2.6%)

regimes112.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (54.3%)

Profiling