Details

analyze954.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5644	164
0	3	3
1	3	3

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)

sample61.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	168×	body	128	valid
11.0ms	40×	body	1024	valid
6.0ms	28×	body	512	valid
5.0ms	21×	body	1024	nan
5.0ms	15×	body	512	nan
3.0ms	43×	body	128	nan
3.0ms	19×	body	256	valid
1.0ms	8×	body	256	nan
0.0ms	1×	body	2048	valid

Compiler

Compiled 55 to 44 computations (20% saved)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

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

Error

42.8b

Counts

2 → 1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize16.0ms (0.1%)

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)
12.4b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
19.5b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite233.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

42.6b

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

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))))
18.0ms	(-.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)

Compiler

Compiled 3564 to 2030 computations (43% saved)

series3.6s (15.3%)

Error

6.3b

Counts

4 → 62

Calls

4 calls:

1.7s	(/.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))))
915.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
674.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
33.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 10820 to 9032 computations (16.5% saved)

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5109	7939

prune354.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	136	6	142
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	6	143

Error

6.3b

Counts

143 → 6

Compiler

Compiled 6961 to 4384 computations (37% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b	(/.f64 (*.f64 t t) x)
11.1b	(/.f64 (.f64 l l) (.f64 x x))
18.3b	(/.f64 (.f64 t t) (.f64 x x))
27.1b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))

rewrite204.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

33×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
20×	`associate-*r/_binary64_20`
16×	`frac-add_binary64_86`
10×	`sqrt-div_binary64_95` `div-exp_binary64_129` `cbrt-undiv_binary64_112`
9×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
8×	`add-sqr-sqrt_binary64_100`
7×	`add-cube-cbrt_binary64_113` `flip3-+_binary64_81` `flip-+_binary64_52` `*-un-lft-identity_binary64_78`
5×	`pow1_binary64_139` `times-frac_binary64_84` `associate-/r*_binary64_22`
4×	`add-log-exp_binary64_117`
3×	`sqrt-prod_binary64_94` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91`

Counts

4 → 86

Calls

4 calls:

19.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
9.0ms	(/.f64 (.f64 l l) (.f64 x x))
6.0ms	(/.f64 (.f64 t t) (.f64 x x))
5.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 5815 to 1665 computations (71.4% saved)

series1.6s (6.7%)

Error

0.4b

Counts

4 → 41

Calls

4 calls:

1.2s	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
94.0ms	(/.f64 (.f64 t t) (.f64 x x))
88.0ms	(/.f64 (.f64 l l) (.f64 x x))
78.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 8281 to 6370 computations (23.1% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4997	5458
1	4997	5458

prune269.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	123	10	133

Error

0.3b

Counts

133 → 10

Compiler

Compiled 7663 to 3169 computations (58.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.3b	(/.f64 (.f64 t t) (.f64 x x))
18.3b	(/.f64 (.f64 t t) (.f64 x x))
27.1b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
27.1b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))

rewrite348.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

40×	`associate-*r/_binary64_20`
32×	`frac-add_binary64_86`
28×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
20×	`sqrt-div_binary64_95`
14×	`flip3-+_binary64_81` `flip-+_binary64_52`
8×	`add-sqr-sqrt_binary64_100` `prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111`
6×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `frac-2neg_binary64_89` `times-frac_binary64_84` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22`

Counts

4 → 88

Calls

4 calls:

22.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
19.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
7.0ms	(/.f64 (.f64 t t) (.f64 x x))
7.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 11120 to 2892 computations (74% saved)

series3.2s (13.6%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

1.3s	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
1.3s	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
108.0ms	(/.f64 (.f64 t t) (.f64 x x))
99.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 20624 to 14248 computations (30.9% saved)

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4996	10356
1	4996	10356

prune599.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	148	10	158

Error

0.3b

Counts

158 → 10

Compiler

Compiled 16269 to 6201 computations (61.9% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.3b	(/.f64 (.f64 t t) (.f64 x x))
18.3b	(/.f64 (.f64 t t) (.f64 x x))
27.8b	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
27.8b	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))

rewrite344.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

40×	`associate-*r/_binary64_20`
32×	`frac-add_binary64_86`
28×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
20×	`cbrt-div_binary64_110`
14×	`flip3-+_binary64_81` `flip-+_binary64_52`
8×	`prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111`
6×	`add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
2×	`pow1/3_binary64_160` `frac-2neg_binary64_89` `times-frac_binary64_84` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22`

Counts

4 → 84

Calls

4 calls:

19.0ms	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
19.0ms	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
7.0ms	(/.f64 (.f64 t t) (.f64 x x))
7.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 10776 to 2784 computations (74.2% saved)

series2.6s (11.1%)

Error

0.3b

Counts

4 → 44

Calls

4 calls:

1.1s	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
1.1s	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
102.0ms	(/.f64 (.f64 t t) (.f64 x x))
100.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 13518 to 8997 computations (33.4% saved)

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	8044
1	4949	8044

prune441.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	128	10	138

Error

0.3b

Counts

138 → 10

Compiler

Compiled 13258 to 4475 computations (66.2% saved)

regimes2.6s (11.3%)

Accuracy

Total 10.4b remaining (95.9%)

Threshold costs 0b (0%)

Compiler

Compiled 32392 to 21170 computations (34.6% saved)

bsearch545.0ms (2.3%)

Steps

Iters	Range		Point
9	1.8162265443302372e-44	4.5309867503862635e-39	4.479554032002455e-39
10	5.9342068314810886e-179	1.5594738020857537e-167	5.9913150483020484e-179
9	-1.976235646896123e-305	8.218484153832199e-307	-1.9574460741136146e-305
6	-1.5835414026399145e-187	-2.440038518244202e-188	-2.4701061804313437e-188
9	-4.553374774673213e+58	-1.0984408704153429e+51	-5.914664076473897e+52

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	282	369
1	282	369

end0.0ms (0%)

sample4.8s (20.9%)

Algorithm

1×

intervals

Results

384.0ms	5299×	body	128	valid
333.0ms	1191×	body	1024	valid
225.0ms	836×	body	1024	nan
187.0ms	889×	body	512	valid
107.0ms	1540×	body	128	nan
104.0ms	499×	body	512	nan
77.0ms	549×	body	256	valid
42.0ms	301×	body	256	nan
25.0ms	72×	body	2048	valid

Compiler

Compiled 4882 to 3228 computations (33.9% saved)

Details

analyze954.0ms (4.1%)

sample61.0ms (0.3%)

simplify72.0ms (0.3%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite233.0ms (1%)

series3.6s (15.3%)

simplify81.0ms (0.3%)

prune354.0ms (1.5%)

localize22.0ms (0.1%)

rewrite204.0ms (0.9%)

series1.6s (6.7%)

simplify88.0ms (0.4%)

prune269.0ms (1.2%)

localize27.0ms (0.1%)

rewrite348.0ms (1.5%)

series3.2s (13.6%)

simplify97.0ms (0.4%)

prune599.0ms (2.6%)

localize28.0ms (0.1%)

rewrite344.0ms (1.5%)

series2.6s (11.1%)

simplify120.0ms (0.5%)

prune441.0ms (1.9%)

regimes2.6s (11.3%)

bsearch545.0ms (2.3%)

simplify8.0ms (0%)

end0.0ms (0%)

sample4.8s (20.9%)

Profiling