Details

analyze2.5s (12.4%)

Algorithm

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

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample3.5s (17.6%)

Algorithm

2×

intervals

Results

103.0ms	182×	body	1024	valid
87.0ms	111×	body	1024	nan
66.0ms	110×	body	2048	valid
40.0ms	228×	body	128	overflowed
27.0ms	408×	body	128	nan
25.0ms	69×	body	512	valid
20.0ms	39×	body	512	nan
16.0ms	99×	body	128	invalid
12.0ms	14×	body	1024	invalid
11.0ms	118×	body	128	valid
7.0ms	33×	body	256	valid
6.0ms	12×	body	512	invalid
5.0ms	20×	body	256	nan
2.0ms	7×	body	256	invalid

Compiler

Compiled 10667 to 10665 computations (0% saved)

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4831	19
1	4831	19

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

33.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
1.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite106.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

33.4b

Rules

24×	`add-sqr-sqrt_binary64_100`
21×	`*-un-lft-identity_binary64_78`
17×	`unpow-prod-down_binary64_157`
13×	`pow-unpow_binary64_155`
12×	`add-cube-cbrt_binary64_113`
9×	`difference-of-squares_binary64_47` `times-frac_binary64_84`
8×	`sqr-pow_binary64_50`
7×	`cancel-sign-sub-inv_binary64_44`
4×	`add-log-exp_binary64_117`
3×	`pow1_binary64_139` `add-exp-log_binary64_116` `distribute-lft-out--_binary64_30`
2×	`add-cbrt-cube_binary64_114` `distribute-lft-out_binary64_29`
1×	`diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `div-inv_binary64_75` `pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146`

Counts

2 → 58

Calls

2 calls:

10.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
5.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

Compiler

Compiled 1379 to 1002 computations (27.3% saved)

series514.0ms (2.6%)

Error

1.3b

Counts

2 → 24

Calls

2 calls:

373.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
84.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

Compiler

Compiled 2032 to 1578 computations (22.3% saved)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5072	2214

prune128.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Error

1.3b

Counts

83 → 6

Compiler

Compiled 2172 to 1425 computations (34.4% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
3.7b	(log.f64 (+.f64 1 x))
4.8b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite141.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

44×	`*-un-lft-identity_binary64_78`
30×	`add-sqr-sqrt_binary64_100`
25×	`pow1_binary64_139`
24×	`times-frac_binary64_84`
22×	`log-pow_binary64_167`
20×	`add-cube-cbrt_binary64_113` `distribute-lft-out--_binary64_30`
11×	`log-prod_binary64_164`
8×	`associate-/l*_binary64_23`
6×	`add-exp-log_binary64_116`
5×	`add-cbrt-cube_binary64_114` `difference-of-squares_binary64_47`
4×	`cancel-sign-sub-inv_binary64_44` `log-div_binary64_165` `associate--l+_binary64_15`
3×	`add-log-exp_binary64_117` `associate--r+_binary64_14` `associate-/r*_binary64_22`
2×	`flip3--_binary64_82` `flip--_binary64_53` `flip3-+_binary64_81` `associate--l-_binary64_16` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `associate-/l/_binary64_25`
1×	`diff-log_binary64_170` `sub-neg_binary64_71` `rem-log-exp_binary64_119` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

3 → 94

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
7.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1606 to 980 computations (39% saved)

series493.0ms (2.5%)

Error

0.6b

Counts

3 → 32

Calls

3 calls:

340.0ms	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
83.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
37.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1071 to 841 computations (21.5% saved)

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4915	2200
1	4915	2200

prune142.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Error

0.5b

Counts

132 → 11

Compiler

Compiled 2122 to 1275 computations (39.9% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
3.7b	(log.f64 (+.f64 1 x))
4.8b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite126.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

28×	`*-un-lft-identity_binary64_78`
26×	`add-sqr-sqrt_binary64_100`
15×	`pow1_binary64_139` `add-cube-cbrt_binary64_113`
13×	`add-exp-log_binary64_116` `associate-r_binary64_18`
11×	`log-prod_binary64_164` `times-frac_binary64_84`
10×	`log-pow_binary64_167`
8×	`add-cbrt-cube_binary64_114` `distribute-lft-out--_binary64_30` `associate-l_binary64_19`
4×	`cancel-sign-sub-inv_binary64_44` `log-div_binary64_165` `associate--l+_binary64_15` `prod-exp_binary64_127`
3×	`add-log-exp_binary64_117` `flip3--_binary64_82` `flip--_binary64_53` `associate--r+_binary64_14` `unswap-sqr_binary64_46`
2×	`difference-of-squares_binary64_47` `flip3-+_binary64_81` `associate--l-_binary64_16` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `div-exp_binary64_129` `cbrt-unprod_binary64_111` `frac-times_binary64_88` `associate-*l/_binary64_21`
1×	`diff-log_binary64_170` `sub-neg_binary64_71` `rem-log-exp_binary64_119` `pow-prod-down_binary64_149` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `un-div-inv_binary64_76` `associate-r/_binary64_20` `div-inv_binary64_75` `-commutative_binary64_9`

Counts

3 → 89

Calls

3 calls:

11.0ms	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
7.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1702 to 1147 computations (32.6% saved)

series453.0ms (2.3%)

Error

0.5b

Counts

3 → 32

Calls

3 calls:

305.0ms	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
87.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
32.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1149 to 920 computations (19.9% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5271	1941

prune139.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	119	13	132

Error

0.5b

Counts

132 → 13

Compiler

Compiled 2166 to 1404 computations (35.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(log.f64 (+.f64 x 1))
3.7b	(log.f64 (+.f64 1 x))
4.8b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
4.8b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite164.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

28×	`*-un-lft-identity_binary64_78`
22×	`log-prod_binary64_164`
16×	`pow1_binary64_139` `add-sqr-sqrt_binary64_100`
12×	`add-cube-cbrt_binary64_113` `log-pow_binary64_167`
8×	`cancel-sign-sub-inv_binary64_44` `distribute-lft-out--_binary64_30` `log-div_binary64_165` `associate--l+_binary64_15`
6×	`add-exp-log_binary64_116` `associate--r+_binary64_14`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `flip3-+_binary64_81` `associate--l-_binary64_16` `flip-+_binary64_52` `distribute-lft-out_binary64_29`
2×	`diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `rem-log-exp_binary64_119`

Counts

4 → 88

Calls

4 calls:

8.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
7.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
3.0ms	(log.f64 (+.f64 x 1))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 2270 to 1495 computations (34.1% saved)

series310.0ms (1.5%)

Error

0.5b

Counts

4 → 36

Calls

4 calls:

91.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
88.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
43.0ms	(log.f64 (+.f64 x 1))
41.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1940 to 1494 computations (23% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4892	1588
1	4892	1588

prune176.0ms (0.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	124	13	137

Error

0.5b

Counts

137 → 13

Compiler

Compiled 2928 to 1869 computations (36.2% saved)

regimes1.3s (6.7%)

Accuracy

Total 7.5b remaining (96.5%)

Threshold costs 0b (0%)

Compiler

Compiled 9978 to 7675 computations (23.1% saved)

bsearch319.0ms (1.6%)

Steps

Iters	Range		Point
8	2.4609341586870244	2978.127578955399	1756.5102279376447
9	1.1562405202038933e-219	2.363475866044591e-214	1.1684408779336648e-219
7	9.287588578446714e-241	1.203475736882155e-238	8.455740874394612e-239

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	92	150
1	92	150

end0.0ms (0%)

sample9.1s (45.4%)

Algorithm

1×

intervals

Results

1.5s	2655×	body	1024	valid
1.1s	1443×	body	1024	nan
1.0s	1754×	body	2048	valid
621.0ms	3928×	body	128	overflowed
449.0ms	1184×	body	512	valid
347.0ms	753×	body	512	nan
338.0ms	6578×	body	128	nan
213.0ms	1622×	body	128	invalid
173.0ms	1840×	body	128	valid
141.0ms	154×	body	1024	invalid
135.0ms	250×	body	512	invalid
126.0ms	567×	body	256	valid
72.0ms	304×	body	256	nan
47.0ms	171×	body	256	invalid
6.0ms	5×	body	2048	nan

Compiler

Compiled 2463 to 1882 computations (23.6% saved)

Details

analyze2.5s (12.4%)

sample3.5s (17.6%)

simplify49.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite106.0ms (0.5%)

series514.0ms (2.6%)

simplify45.0ms (0.2%)

prune128.0ms (0.6%)

localize8.0ms (0%)

rewrite141.0ms (0.7%)

series493.0ms (2.5%)

simplify107.0ms (0.5%)

prune142.0ms (0.7%)

localize9.0ms (0%)

rewrite126.0ms (0.6%)

series453.0ms (2.3%)

simplify65.0ms (0.3%)

prune139.0ms (0.7%)

localize16.0ms (0.1%)

rewrite164.0ms (0.8%)

series310.0ms (1.5%)

simplify82.0ms (0.4%)

prune176.0ms (0.9%)

regimes1.3s (6.7%)

bsearch319.0ms (1.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample9.1s (45.4%)

Profiling