Details

analyze766.0ms (7.3%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample55.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	36×	body	1024	valid
11.0ms	167×	body	128	valid
6.0ms	22×	body	1024	nan
5.0ms	25×	body	512	valid
4.0ms	28×	body	256	valid
3.0ms	46×	body	128	nan
2.0ms	12×	body	512	nan
1.0ms	7×	body	256	nan

Compiler

Compiled 55 to 44 computations (20% saved)

simplify155.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5192	41

prune3.0ms (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

Merged error: 42.4b

Counts

2 → 1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
0.5b	(*.f64 (sqrt.f64 2) t)
13.9b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
18.9b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_100`
13×	`sqrt-prod_binary64_94`
12×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
7×	`pow1_binary64_139`
6×	`associate-l_binary64_19` `add-log-exp_binary64_117` `times-frac_binary64_84` `associate-/r*_binary64_22`
4×	`sqrt-div_binary64_95`
3×	`flip3--_binary64_82` `associate-r_binary64_18` `flip--_binary64_53`
2×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `associate--l+_binary64_15` `unswap-sqr_binary64_46` `associate-/r/_binary64_24`
1×	`distribute-lft-in_binary64_27` `-commutative_binary64_9` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `distribute-rgt-in_binary64_28` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l_binary64_23` `pow-prod-down_binary64_149` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `pow1/2_binary64_158` `sub-neg_binary64_71`

Counts

4 → 80

Calls

4 calls:

19.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
15.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
15.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
5.0ms	(*.f64 (sqrt.f64 2) t)

series4.5s (42.8%)

Counts

4 → 49

Calls

4 calls:

3.2s	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
663.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
650.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
29.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 6623 to 5589 computations (15.6% saved)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4994	5073
1	4994	5073

prune254.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	118	11	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	11	130

Merged error: 10.3b

Counts

130 → 11

Compiler

Compiled 5123 to 3183 computations (37.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) t)
28.7b	(sqrt.f64 (.f64 2 (.f64 t t)))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_139`
9×	`add-sqr-sqrt_binary64_100`
6×	`associate-l_binary64_19`
5×	`sqrt-prod_binary64_94` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow-prod-down_binary64_149`
3×	`sqrt-pow1_binary64_96` `associate-r_binary64_18`
2×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46`
1×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow1/2_binary64_158`

Counts

2 → 34

Calls

2 calls:

5.0ms	(*.f64 (sqrt.f64 2) t)
4.0ms	(sqrt.f64 (.f64 2 (.f64 t t)))

series61.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(*.f64 (sqrt.f64 2) t)
27.0ms	(sqrt.f64 (.f64 2 (.f64 t t)))

Compiler

Compiled 124 to 130 computations (-4.8% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4866	328
1	4866	328

prune54.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	39	12	51

Merged error: 10.1b

Counts

51 → 12

Compiler

Compiled 811 to 624 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) t)
0.5b	(*.f64 (sqrt.f64 2) (fabs.f64 t))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_100`
12×	`associate-l_binary64_19`
8×	`sqrt-prod_binary64_94` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`add-cbrt-cube_binary64_114` `associate-r_binary64_18` `add-exp-log_binary64_116` `pow1_binary64_139`
4×	`unswap-sqr_binary64_46`
2×	`*-commutative_binary64_9` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`

Counts

2 → 44

Calls

2 calls:

5.0ms	(*.f64 (sqrt.f64 2) (fabs.f64 t))
5.0ms	(*.f64 (sqrt.f64 2) t)

series61.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(*.f64 (sqrt.f64 2) t)
29.0ms	(*.f64 (sqrt.f64 2) (fabs.f64 t))

Compiler

Compiled 132 to 144 computations (-9.1% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4846	494
1	4846	494

prune63.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	48	14	62

Merged error: 10.1b

Counts

62 → 14

Compiler

Compiled 965 to 752 computations (22.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) t)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_100`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`cbrt-prod_binary64_109`
6×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-exp-log_binary64_116` `pow1_binary64_139`
4×	`sqrt-prod_binary64_94` `add-log-exp_binary64_117`
3×	`pow1/3_binary64_160` `associate-r_binary64_18`
2×	`unswap-sqr_binary64_46`
1×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`

Counts

4 → 55

Calls

4 calls:

5.0ms	(*.f64 (sqrt.f64 2) t)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

series36.0ms (0.3%)

Counts

4 → 3

Calls

4 calls:

35.0ms	(*.f64 (sqrt.f64 2) t)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 112 to 118 computations (-5.4% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4913	425
1	4913	425

prune77.0ms (0.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	58	14	72

Merged error: 10.1b

Counts

72 → 14

Compiler

Compiled 1261 to 1076 computations (14.7% saved)

regimes879.0ms (8.3%)

Compiler: Compiled 10862 to 8656 computations (20.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	16
1	10	16

end0.0ms (0%)

sample3.1s (29.7%)

Algorithm

1×

intervals

Results

380.0ms	5337×	body	128	valid
305.0ms	1147×	body	1024	valid
215.0ms	815×	body	1024	nan
172.0ms	870×	body	512	valid
101.0ms	1489×	body	128	nan
95.0ms	479×	body	512	nan
80.0ms	570×	body	256	valid
35.0ms	274×	body	256	nan
27.0ms	76×	body	2048	valid

Compiler

Compiled 1835 to 1464 computations (20.2% saved)

Details

analyze766.0ms (7.3%)

sample55.0ms (0.5%)

simplify155.0ms (1.5%)

prune3.0ms (0%)

localize19.0ms (0.2%)

rewrite62.0ms (0.6%)

series4.5s (42.8%)

simplify91.0ms (0.9%)

prune254.0ms (2.4%)

localize7.0ms (0.1%)

rewrite11.0ms (0.1%)

series61.0ms (0.6%)

simplify60.0ms (0.6%)

prune54.0ms (0.5%)

localize6.0ms (0.1%)

rewrite13.0ms (0.1%)

series61.0ms (0.6%)

simplify70.0ms (0.7%)

prune63.0ms (0.6%)

localize12.0ms (0.1%)

rewrite12.0ms (0.1%)

series36.0ms (0.3%)

simplify72.0ms (0.7%)

prune77.0ms (0.7%)

regimes879.0ms (8.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (29.7%)

Profiling