Details

analyze257.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5283	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample73.0ms (1.6%)

Algorithm

1×

intervals

Results

45.0ms	139×	body	1024	valid
11.0ms	61×	body	512	valid
5.0ms	10×	body	2048	valid
3.0ms	31×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify161.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	5283	12

prune2.0ms (0%)

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

58.6b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.2b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite124.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

58.4b

Rules

78×	`*-un-lft-identity_binary64_1442`
52×	`add-sqr-sqrt_binary64_1464`
48×	`times-frac_binary64_1448`
30×	`log-prod_binary64_1528`
25×	`add-cube-cbrt_binary64_1477`
18×	`difference-of-squares_binary64_1411`
13×	`distribute-lft-out_binary64_1393`
9×	`distribute-lft-out--_binary64_1394`
7×	`add-exp-log_binary64_1480`
6×	`associate-/l*_binary64_1387`
4×	`associate-/r/_binary64_1388` `add-cbrt-cube_binary64_1478` `associate-/r*_binary64_1386`
3×	`pow1_binary64_1503`
2×	`div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-exp_binary64_1493` `rem-log-exp_binary64_1483` `add-log-exp_binary64_1481` `associate-/l/_binary64_1389`
1×	`log-pow_binary64_1531` `log-div_binary64_1529` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

2 → 92

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1606 to 1253 computations (22% saved)

series75.0ms (1.7%)

Error

Counts

2 → 14

Calls

2 calls:

40.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
22.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 274 to 251 computations (8.4% saved)

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5400	1921

prune90.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1551 to 1194 computations (23% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
0.1b	(*.f64 2/7 (pow.f64 eps 7))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite195.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_1464`
26×	`associate-r_binary64_1382`
19×	`add-exp-log_binary64_1480`
14×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`unpow-prod-down_binary64_1521`
10×	`add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
9×	`prod-exp_binary64_1491` `add-log-exp_binary64_1481` `associate-l_binary64_1383`
6×	`sqr-pow_binary64_1414`
4×	`pow1_binary64_1503` `cube-prod_binary64_1470`
3×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `diff-log_binary64_1534`
2×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `associate--l+_binary64_1379`
1×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `flip3--_binary64_1446` `flip--_binary64_1417` `associate--l-_binary64_1380`

Counts

4 → 97

Calls

4 calls:

7.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
7.0ms	(*.f64 2/3 (pow.f64 eps 3))
5.0ms	(*.f64 2/5 (pow.f64 eps 5))
5.0ms	(*.f64 2/7 (pow.f64 eps 7))

Compiler

Compiled 2730 to 2219 computations (18.7% saved)

series191.0ms (4.2%)

Error

Counts

4 → 14

Calls

4 calls:

51.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
47.0ms	(*.f64 2/7 (pow.f64 eps 7))
42.0ms	(*.f64 2/5 (pow.f64 eps 5))
35.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 763 to 646 computations (15.3% saved)

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5283	1358

prune161.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Error

Counts

113 → 2

Compiler

Compiled 2804 to 2263 computations (19.3% saved)

regimes149.0ms (3.3%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Compiler

Compiled 1737 to 1463 computations (15.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	97	31
1	97	31

end0.0ms (0%)

sample2.9s (63.4%)

Algorithm

1×

intervals

Results

1.3s	3996×	body	1024	valid
375.0ms	2001×	body	512	valid
205.0ms	418×	body	2048	valid
108.0ms	992×	body	256	valid
28.0ms	593×	body	128	valid

Compiler

Compiled 563 to 476 computations (15.5% saved)

Details

analyze257.0ms (5.7%)

sample73.0ms (1.6%)

simplify161.0ms (3.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite124.0ms (2.7%)

series75.0ms (1.7%)

simplify75.0ms (1.7%)

prune90.0ms (2%)

localize15.0ms (0.3%)

rewrite195.0ms (4.3%)

series191.0ms (4.2%)

simplify73.0ms (1.6%)

prune161.0ms (3.6%)

regimes149.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.9s (63.4%)

Profiling