Details

analyze497.0ms (14.3%)

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)

sample31.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	77×	body	1024	valid
4.0ms	44×	body	512	valid
3.0ms	107×	body	128	valid
1.0ms	8×	body	2048	valid
1.0ms	20×	body	256	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

prune4.0ms (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

39.5b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.2b	(-.f64 (exp.f64 x) 1)

rewrite88.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

39.4b

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:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 977 to 489 computations (49.9% saved)

series118.0ms (3.4%)

Error

0.6b

Counts

2 → 12

Calls

2 calls:

77.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
16.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 252 to 184 computations (27% saved)

simplify96.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5105	1195

prune97.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 1004 to 503 computations (49.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.0b	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
0.3b	(*.f64 (pow.f64 x 3) 1/720)
0.4b	(*.f64 x 1/12)

rewrite153.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_1464`
18×	`add-log-exp_binary64_1481`
15×	`associate-l_binary64_1383`
11×	`add-exp-log_binary64_1480`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`add-cbrt-cube_binary64_1478`
6×	`pow1_binary64_1503` `associate-r_binary64_1382` `sum-log_binary64_1533`
5×	`unswap-sqr_binary64_1410`
4×	`prod-exp_binary64_1491` `unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
3×	`diff-log_binary64_1534`
2×	`cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `sqr-pow_binary64_1414`
1×	`pow-prod-down_binary64_1513` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow3_binary64_1508` `cube-mult_binary64_1472` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408` `associate--l+_binary64_1379` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l+_binary64_1375` `+-commutative_binary64_1372`

Counts

4 → 77

Calls

4 calls:

15.0ms	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
9.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
6.0ms	(*.f64 (pow.f64 x 3) 1/720)
4.0ms	(*.f64 x 1/12)

Compiler

Compiled 1744 to 1403 computations (19.6% saved)

series200.0ms (5.8%)

Error

Counts

4 → 27

Calls

4 calls:

65.0ms	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
48.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
38.0ms	(*.f64 (pow.f64 x 3) 1/720)
31.0ms	(*.f64 x 1/12)

Compiler

Compiled 749 to 635 computations (15.2% saved)

simplify122.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4946	1364
1	4946	1364

prune129.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 1912 to 1527 computations (20.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.2b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 17

Calls

1 calls:

5.0ms

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

Compiler

Compiled 243 to 142 computations (41.6% saved)

series43.0ms (1.2%)

Error

Counts

1 → 6

Calls

1 calls:

35.0ms

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

Compiler

Compiled 141 to 124 computations (12.1% saved)

simplify109.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4864	272
1	4864	272

prune14.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 252 to 165 computations (34.5% saved)

regimes147.0ms (4.2%)

Accuracy

Total 0.5b remaining (98.8%)

Threshold costs 0.5b (98.8%)

Compiler

Compiled 1265 to 884 computations (30.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	34
1	35	34

end0.0ms (0%)

sample1.6s (44.9%)

Algorithm

1×

intervals

Results

477.0ms	2583×	body	1024	valid
137.0ms	1381×	body	512	valid
86.0ms	3094×	body	128	valid
57.0ms	290×	body	2048	valid
40.0ms	652×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 356 to 257 computations (27.8% saved)

Details

analyze497.0ms (14.3%)

sample31.0ms (0.9%)

simplify7.0ms (0.2%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite88.0ms (2.5%)

series118.0ms (3.4%)

simplify96.0ms (2.8%)

prune97.0ms (2.8%)

localize9.0ms (0.3%)

rewrite153.0ms (4.4%)

series200.0ms (5.8%)

simplify122.0ms (3.5%)

prune129.0ms (3.7%)

localize5.0ms (0.1%)

rewrite27.0ms (0.8%)

series43.0ms (1.2%)

simplify109.0ms (3.1%)

prune14.0ms (0.4%)

regimes147.0ms (4.2%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (44.9%)

Profiling