Details

analyze719.0ms (13.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample51.0ms (1%)

Algorithm

1×

intervals

Results

25.0ms	102×	body	1024	valid
6.0ms	40×	body	512	valid
4.0ms	91×	body	128	valid
2.0ms	8×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

prune3.0ms (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

43.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.8b	(-.f64 (exp.f64 x) 1)

rewrite133.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

43.0b

Rules

35×	`add-sqr-sqrt_binary64_1464`
30×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`difference-of-squares_binary64_1411`
7×	`associate-/r*_binary64_1386`
5×	`difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
3×	`add-exp-log_binary64_1480` `cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387`
2×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/r/_binary64_1388`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

2 → 63

Calls

2 calls:

12.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
8.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 977 to 489 computations (49.9% saved)

series119.0ms (2.3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

64.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
28.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 252 to 184 computations (27% saved)

simplify112.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5105	1195

prune107.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 1013 to 507 computations (50% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.3b	(*.f64 x 1/12)

rewrite76.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-log-exp_binary64_1481`
6×	`add-sqr-sqrt_binary64_1464`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`associate-l_binary64_1383` `associate-r_binary64_1382` `sum-log_binary64_1533`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l+_binary64_1375` `+-commutative_binary64_1372`

Counts

2 → 31

Calls

2 calls:

15.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
6.0ms	(*.f64 x 1/12)

Compiler

Compiled 486 to 389 computations (20% saved)

series110.0ms (2.1%)

Error

Counts

2 → 12

Calls

2 calls:

70.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
29.0ms	(*.f64 x 1/12)

Compiler

Compiled 210 to 181 computations (13.8% saved)

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4926	453
1	4926	453

prune61.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Compiler

Compiled 540 to 428 computations (20.7% saved)

localize6.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(sqrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
0.7b	(sqrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
4.8b	(-.f64 (exp.f64 x) 1)
4.8b	(-.f64 (exp.f64 x) 1)

rewrite287.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-sqr-sqrt_binary64_1464`
54×	`sqrt-prod_binary64_1458`
52×	`*-un-lft-identity_binary64_1442`
44×	`times-frac_binary64_1448`
28×	`add-cube-cbrt_binary64_1477`
16×	`difference-of-squares_binary64_1411`
8×	`add-log-exp_binary64_1481` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
6×	`pow1_binary64_1503` `cancel-sign-sub-inv_binary64_1408`
4×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/r/_binary64_1388` `rem-sqrt-square_binary64_1455`
2×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `sqrt-div_binary64_1459` `div-inv_binary64_1439`

Counts

4 → 114

Calls

4 calls:

18.0ms	(sqrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
14.0ms	(sqrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
8.0ms	(-.f64 (exp.f64 x) 1)
8.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 2982 to 1637 computations (45.1% saved)

series259.0ms (5%)

Error

Counts

4 → 18

Calls

4 calls:

88.0ms	(sqrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
77.0ms	(sqrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
33.0ms	(-.f64 (exp.f64 x) 1)
33.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 860 to 555 computations (35.5% saved)

simplify191.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	5145	2372

prune247.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Error

Counts

135 → 3

Compiler

Compiled 3080 to 1660 computations (46.1% saved)

regimes232.0ms (4.5%)

Accuracy

Total 0.4b remaining (58.3%)

Threshold costs 0.4b (58.3%)

Compiler

Compiled 1245 to 910 computations (26.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	20	27

end0.0ms (0%)

sample2.3s (44.3%)

Algorithm

1×

intervals

Results

710.0ms	2705×	body	1024	valid
186.0ms	1285×	body	512	valid
123.0ms	3080×	body	128	valid
86.0ms	285×	body	2048	valid
62.0ms	645×	body	256	valid
0.0ms	2×	body	2048	invalid

Compiler

Compiled 362 to 270 computations (25.4% saved)

Details

analyze719.0ms (13.9%)

sample51.0ms (1%)

simplify17.0ms (0.3%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite133.0ms (2.6%)

series119.0ms (2.3%)

simplify112.0ms (2.2%)

prune107.0ms (2.1%)

localize11.0ms (0.2%)

rewrite76.0ms (1.5%)

series110.0ms (2.1%)

simplify108.0ms (2.1%)

prune61.0ms (1.2%)

localize6.0ms (0.1%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify11.0ms (0.2%)

prune3.0ms (0.1%)

localize12.0ms (0.2%)

rewrite287.0ms (5.5%)

series259.0ms (5%)

simplify191.0ms (3.7%)

prune247.0ms (4.8%)

regimes232.0ms (4.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.3s (44.3%)

Profiling