Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample88.0ms (2.3%)

Algorithm

1×

intervals

Results

59.0ms	124×	body	2048	valid
14.0ms	68×	body	1024	valid
4.0ms	12×	body	128	valid
4.0ms	32×	body	512	valid
1.0ms	20×	body	256	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify178.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13

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: 31.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
4.4b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1442`
9×	`add-log-exp_binary64_1481`
6×	`cancel-sign-sub-inv_binary64_1408` `add-sqr-sqrt_binary64_1464`
4×	`associate-+l+_binary64_1375` `frac-add_binary64_1450` `add-cube-cbrt_binary64_1477`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`add-cbrt-cube_binary64_1478` `sum-log_binary64_1533` `sub-neg_binary64_1435` `add-exp-log_binary64_1480` `distribute-lft-out_binary64_1393` `diff-log_binary64_1534` `exp-diff_binary64_1490` `pow1_binary64_1503` `neg-sub0_binary64_1437` `distribute-lft-out--_binary64_1394` `exp-neg_binary64_1489`
1×	`+-commutative_binary64_1372` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l-_binary64_1377` `difference-of-squares_binary64_1411`

Counts

2 → 39

Calls

2 calls:

9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
5.0ms	(-.f64 (exp.f64 x) 2)

series37.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
8.0ms	(-.f64 (exp.f64 x) 2)

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4887	654
1	4887	654

prune50.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Merged error: 0.0b

Counts

46 → 2

Compiler

Compiled 606 to 316 computations (47.9% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1464`
14×	`associate-r_binary64_1382`
12×	`add-exp-log_binary64_1480`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `unpow-prod-down_binary64_1521`
6×	`add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`
4×	`sqr-pow_binary64_1414`
2×	`cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `pow1_binary64_1503` `pow-to-exp_binary64_1511`

Counts

2 → 50

Calls

2 calls:

6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))

series56.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(*.f64 1/360 (pow.f64 x 6))
24.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5043	502

prune57.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Merged error: 0.0b

Counts

58 → 2

Compiler

Compiled 1060 to 743 computations (29.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 2 (exp.f64 (neg.f64 x)))
4.4b	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_1442`
11×	`cancel-sign-sub-inv_binary64_1408` `add-sqr-sqrt_binary64_1464`
9×	`add-log-exp_binary64_1481`
5×	`add-cube-cbrt_binary64_1477` `distribute-lft-out--_binary64_1394`
4×	`diff-log_binary64_1534` `associate--r+_binary64_1378`
3×	`sub-neg_binary64_1435` `difference-of-squares_binary64_1411`
2×	`add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `pow1_binary64_1503`
1×	`associate--r-_binary64_1381`

Counts

2 → 41

Calls

2 calls:

9.0ms	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
7.0ms	(-.f64 2 (exp.f64 (neg.f64 x)))

series43.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
10.0ms	(-.f64 2 (exp.f64 (neg.f64 x)))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4832	659
1	4832	659

prune29.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Merged error: 0.0b

Counts

49 → 2

Compiler

Compiled 592 to 295 computations (50.2% saved)

regimes50.0ms (1.3%)

Compiler: Compiled 500 to 372 computations (25.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample3.0s (77.6%)

Algorithm

1×

intervals

Results

2.0s	4093×	body	2048	valid
431.0ms	2030×	body	1024	valid
117.0ms	1012×	body	512	valid
35.0ms	512×	body	256	valid
15.0ms	353×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 273 to 207 computations (24.2% saved)

Details

analyze4.0ms (0.1%)

sample88.0ms (2.3%)

simplify178.0ms (4.5%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite17.0ms (0.4%)

series37.0ms (0.9%)

simplify55.0ms (1.4%)

prune50.0ms (1.3%)

localize9.0ms (0.2%)

rewrite15.0ms (0.4%)

series56.0ms (1.4%)

simplify77.0ms (2%)

prune57.0ms (1.4%)

localize6.0ms (0.1%)

rewrite18.0ms (0.5%)

series43.0ms (1.1%)

simplify77.0ms (2%)

prune29.0ms (0.7%)

regimes50.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample3.0s (77.6%)

Profiling