Details

analyze1.8s (9.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5242	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	50%	22%	7
28.1%	46.8%	25.1%	8
29.7%	41.4%	29%	9
29.7%	39.4%	30.9%	10
31.1%	35.8%	33.1%	11
31.1%	34.4%	34.5%	12
31.5%	32.9%	35.6%	13
31.5%	32.1%	36.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample285.0ms (1.6%)

Algorithm

1×

intervals

Results

66.0ms	64×	body	1024	nan
65.0ms	86×	body	1024	valid
53.0ms	70×	body	2048	valid
24.0ms	83×	body	128	overflowed
16.0ms	34×	body	512	valid
8.0ms	15×	body	512	nan
7.0ms	10×	body	512	invalid
6.0ms	20×	body	256	valid
6.0ms	6×	body	1024	invalid
5.0ms	46×	body	128	valid
3.0ms	10×	body	256	nan
2.0ms	23×	body	128	nan
1.0ms	4×	body	256	invalid
1.0ms	5×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4831	19
1	4831	19

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

30.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 x (/.f64 1 n))
0.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite154.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

Rules

24×	`add-sqr-sqrt_binary64_441`
19×	`*-un-lft-identity_binary64_419`
16×	`unpow-prod-down_binary64_498`
13×	`pow-unpow_binary64_496`
12×	`add-cube-cbrt_binary64_454`
9×	`difference-of-squares_binary64_388` `times-frac_binary64_425`
8×	`sqr-pow_binary64_391`
7×	`cancel-sign-sub-inv_binary64_385`
4×	`add-log-exp_binary64_458`
3×	`pow1_binary64_480` `add-exp-log_binary64_457` `distribute-lft-out--_binary64_371`
2×	`add-cbrt-cube_binary64_455`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `distribute-lft-out_binary64_370` `div-inv_binary64_416` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487`

Counts

2 → 57

Calls

2 calls:

21.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
7.0ms	(pow.f64 x (/.f64 1 n))

Compiler

Compiled 1342 to 963 computations (28.2% saved)

series494.0ms (2.8%)

Error

0.7b

Counts

2 → 27

Calls

2 calls:

300.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
145.0ms	(pow.f64 x (/.f64 1 n))

Compiler

Compiled 1986 to 1525 computations (23.2% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4957	2031
1	4957	2031

prune142.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	6	85

Error

0.7b

Counts

85 → 6

Compiler

Compiled 2068 to 1400 computations (32.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
1.3b	(log.f64 (+.f64 1 x))
2.2b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite130.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

44×	`*-un-lft-identity_binary64_419`
30×	`add-sqr-sqrt_binary64_441`
25×	`pow1_binary64_480`
24×	`times-frac_binary64_425`
22×	`log-pow_binary64_508`
20×	`add-cube-cbrt_binary64_454` `distribute-lft-out--_binary64_371`
11×	`log-prod_binary64_505`
8×	`associate-/l*_binary64_364`
6×	`add-exp-log_binary64_457`
5×	`add-cbrt-cube_binary64_455` `difference-of-squares_binary64_388`
4×	`cancel-sign-sub-inv_binary64_385` `log-div_binary64_506` `associate--l+_binary64_356`
3×	`add-log-exp_binary64_458` `associate--r+_binary64_355` `associate-/r*_binary64_363`
2×	`flip3--_binary64_423` `flip--_binary64_394` `flip3-+_binary64_422` `associate--l-_binary64_357` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `associate-/l/_binary64_366`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `rem-log-exp_binary64_460` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

3 → 94

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
9.0ms	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1606 to 980 computations (39% saved)

series406.0ms (2.3%)

Error

0.2b

Counts

3 → 31

Calls

3 calls:

267.0ms	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
75.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
31.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1022 to 793 computations (22.4% saved)

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4911	2123
1	4911	2123

prune159.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	120	11	131

Error

0.1b

Counts

131 → 11

Compiler

Compiled 2126 to 1268 computations (40.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
0.1b	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
1.3b	(log.f64 (+.f64 x 1))
2.2b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))

rewrite411.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

210×	`times-frac_binary64_425`
172×	`*-un-lft-identity_binary64_419`
134×	`add-sqr-sqrt_binary64_441`
100×	`add-cube-cbrt_binary64_454`
75×	`pow1_binary64_480`
70×	`log-pow_binary64_508`
68×	`distribute-lft-out--_binary64_371`
38×	`associate-/r*_binary64_363`
18×	`add-exp-log_binary64_457`
17×	`difference-of-squares_binary64_388`
11×	`add-cbrt-cube_binary64_455` `log-prod_binary64_505` `associate-/r/_binary64_365`
8×	`div-exp_binary64_470`
6×	`flip3--_binary64_423` `flip--_binary64_394` `div-inv_binary64_416` `associate-/l*_binary64_364`
4×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385` `log-div_binary64_506` `associate--l+_binary64_356` `cbrt-undiv_binary64_453`
3×	`associate--r+_binary64_355`
2×	`flip3-+_binary64_422` `associate--l-_binary64_357` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `1-exp_binary64_463` `rec-exp_binary64_469` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `rem-log-exp_binary64_460` `inv-pow_binary64_504` `pow-flip_binary64_493`

Counts

4 → 237

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
12.0ms	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
7.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
3.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 5274 to 3464 computations (34.3% saved)

series618.0ms (3.5%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

255.0ms	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
218.0ms	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
78.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
31.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1637 to 1247 computations (23.8% saved)

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4970	6183
1	4970	6183

prune342.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	281	11	292

Error

0.1b

Counts

292 → 11

Compiler

Compiled 5444 to 3377 computations (38% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
1.3b	(log.f64 (+.f64 1 x))
2.2b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite137.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

28×	`*-un-lft-identity_binary64_419`
26×	`add-sqr-sqrt_binary64_441`
15×	`pow1_binary64_480` `add-cube-cbrt_binary64_454`
13×	`add-exp-log_binary64_457` `associate-r_binary64_359`
11×	`log-prod_binary64_505` `times-frac_binary64_425`
10×	`log-pow_binary64_508`
8×	`add-cbrt-cube_binary64_455` `distribute-lft-out--_binary64_371` `associate-l_binary64_360`
4×	`cancel-sign-sub-inv_binary64_385` `log-div_binary64_506` `associate--l+_binary64_356` `prod-exp_binary64_468`
3×	`add-log-exp_binary64_458` `flip3--_binary64_423` `flip--_binary64_394` `associate--r+_binary64_355` `unswap-sqr_binary64_387`
2×	`difference-of-squares_binary64_388` `flip3-+_binary64_422` `associate--l-_binary64_357` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `div-exp_binary64_470` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `associate-*l/_binary64_362`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `rem-log-exp_binary64_460` `pow-prod-down_binary64_490` `1-exp_binary64_463` `rec-exp_binary64_469` `cbrt-undiv_binary64_453` `un-div-inv_binary64_417` `associate-r/_binary64_361` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

3 → 89

Calls

3 calls:

14.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
12.0ms	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
4.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1702 to 1147 computations (32.6% saved)

series397.0ms (2.2%)

Error

0.1b

Counts

3 → 31

Calls

3 calls:

273.0ms	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
62.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
34.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1102 to 874 computations (20.7% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5328	1864

prune106.0ms (0.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	119	12	131

Error

0.1b

Counts

131 → 12

Compiler

Compiled 1863 to 1163 computations (37.6% saved)

regimes1.5s (8.6%)

Accuracy

Total 6.7b remaining (95.1%)

Threshold costs 0b (0%)

Compiler

Compiled 8071 to 6369 computations (21.1% saved)

bsearch58.0ms (0.3%)

Steps

Iters	Range		Point
8	0.6400884701246073	6264.291086638127	3749.2329152300117

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	19	31

end0.0ms (0%)

sample10.1s (56.8%)

Algorithm

1×

intervals

Results

1.9s	2677×	body	1024	valid
1.4s	1483×	body	1024	nan
1.3s	1789×	body	2048	valid
606.0ms	2584×	body	128	overflowed
551.0ms	1196×	body	512	valid
405.0ms	678×	body	512	nan
204.0ms	1754×	body	128	valid
176.0ms	158×	body	1024	invalid
172.0ms	584×	body	256	valid
161.0ms	249×	body	512	invalid
103.0ms	359×	body	256	nan
67.0ms	815×	body	128	nan
51.0ms	147×	body	256	invalid
40.0ms	256×	body	128	invalid
7.0ms	5×	body	2048	nan

Compiler

Compiled 1966 to 1545 computations (21.4% saved)

Details

analyze1.8s (9.9%)

sample285.0ms (1.6%)

simplify72.0ms (0.4%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite154.0ms (0.9%)

series494.0ms (2.8%)

simplify86.0ms (0.5%)

prune142.0ms (0.8%)

localize15.0ms (0.1%)

rewrite130.0ms (0.7%)

series406.0ms (2.3%)

simplify144.0ms (0.8%)

prune159.0ms (0.9%)

localize11.0ms (0.1%)

rewrite411.0ms (2.3%)

series618.0ms (3.5%)

simplify122.0ms (0.7%)

prune342.0ms (1.9%)

localize17.0ms (0.1%)

rewrite137.0ms (0.8%)

series397.0ms (2.2%)

simplify76.0ms (0.4%)

prune106.0ms (0.6%)

regimes1.5s (8.6%)

bsearch58.0ms (0.3%)

simplify4.0ms (0%)

end0.0ms (0%)

sample10.1s (56.8%)

Profiling