Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample40.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	48×	body	1024	valid
10.0ms	143×	body	128	valid
6.0ms	39×	body	512	valid
4.0ms	9×	body	2048	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune7.0ms (0.2%)

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

27.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.3b	(log.f64 (+.f64 N 1))
1.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1))

series62.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
25.0ms	(log.f64 (+.f64 N 1))

simplify122.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4935	668
1	4935	668

prune100.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Error

0.0b

Counts

51 → 4

Compiler

Compiled 680 to 443 computations (34.9% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
2.0b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_78`
24×	`times-frac_binary64_84`
19×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
16×	`log-prod_binary64_164`
7×	`add-exp-log_binary64_116` `distribute-lft-out_binary64_29`
4×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23`
3×	`associate-/r*_binary64_22` `pow1_binary64_139`
2×	`add-log-exp_binary64_117` `div-exp_binary64_129` `div-inv_binary64_75` `rem-log-exp_binary64_119` `associate-/l/_binary64_25`
1×	`cbrt-undiv_binary64_112` `flip-+_binary64_52` `frac-2neg_binary64_89` `log-div_binary64_165` `clear-num_binary64_77` `log-pow_binary64_167` `flip3-+_binary64_81`

Counts

2 → 60

Calls

2 calls:

11.0ms	(/.f64 (+.f64 N 1) N)
9.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

series71.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(/.f64 (+.f64 N 1) N)
31.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify87.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5161	940

prune94.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Error

0.0b

Counts

70 → 4

Compiler

Compiled 826 to 558 computations (32.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 N))
0.0b	(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
0.3b	(/.f64 (+.f64 N 1) (sqrt.f64 N))
1.8b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))

rewrite52.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`*-un-lft-identity_binary64_78`
72×	`times-frac_binary64_84`
68×	`log-prod_binary64_164`
55×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
45×	`sqrt-prod_binary64_94`
28×	`associate-+r+_binary64_10`
25×	`distribute-lft-out_binary64_29`
12×	`pow1_binary64_139`
10×	`add-exp-log_binary64_116`
9×	`log-pow_binary64_167`
6×	`add-cbrt-cube_binary64_114` `distribute-neg-in_binary64_39` `associate-+l+_binary64_11` `associate-/r*_binary64_22`
5×	`add-log-exp_binary64_117`
4×	`associate-/l*_binary64_23` `distribute-rgt-neg-in_binary64_36`
3×	`div-inv_binary64_75` `rem-log-exp_binary64_119`
2×	`div-exp_binary64_129` `flip-+_binary64_52` `log-div_binary64_165` `associate-/l/_binary64_25` `sum-log_binary64_169` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `associate-+l-_binary64_13` `sqrt-pow1_binary64_96` `associate-+r-_binary64_12` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `neg-sub0_binary64_73` `clear-num_binary64_77` `pow1/2_binary64_158` `neg-log_binary64_171`

Counts

4 → 158

Calls

4 calls:

15.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
9.0ms	(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
6.0ms	(/.f64 (+.f64 N 1) (sqrt.f64 N))
3.0ms	(log.f64 (sqrt.f64 N))

series164.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
39.0ms	(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
19.0ms	(/.f64 (+.f64 N 1) (sqrt.f64 N))
16.0ms	(log.f64 (sqrt.f64 N))

simplify179.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5280	3048

prune280.0ms (6.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	170	4	174

Error

0.0b

Counts

174 → 4

Compiler

Compiled 3169 to 1615 computations (49% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 N)
0.6b	(cbrt.f64 N)
1.3b	(log.f64 (+.f64 N 1))
20.6b	(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (log.f64 (cbrt.f64 N)))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_78`
14×	`log-prod_binary64_164`
13×	`add-sqr-sqrt_binary64_100`
11×	`add-cube-cbrt_binary64_113`
10×	`associate--l+_binary64_15`
9×	`cbrt-prod_binary64_109`
7×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117` `associate--r+_binary64_14` `cancel-sign-sub-inv_binary64_44`
5×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `log-pow_binary64_167`
3×	`diff-log_binary64_170` `pow1/3_binary64_160`
2×	`distribute-lft-out--_binary64_30` `log-div_binary64_165` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`
1×	`flip-+_binary64_52` `flip3--_binary64_82` `flip--_binary64_53` `rem-log-exp_binary64_119` `difference-of-squares_binary64_47` `associate--l-_binary64_16` `flip3-+_binary64_81`

Counts

4 → 70

Calls

4 calls:

20.0ms	(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (log.f64 (cbrt.f64 N)))
6.0ms	(log.f64 (+.f64 N 1))
2.0ms	(cbrt.f64 N)
2.0ms	(cbrt.f64 N)

series298.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt.f64 N)
92.0ms	(cbrt.f64 N)
79.0ms	(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (log.f64 (cbrt.f64 N)))
12.0ms	(log.f64 (+.f64 N 1))

simplify113.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5314	983

prune101.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Error

0.0b

Counts

86 → 4

Compiler

Compiled 1381 to 797 computations (42.3% saved)

regimes131.0ms (3.1%)

Accuracy

Total 0.0b remaining (29.6%)

Threshold costs 0.0b (29.6%)

Compiler

Compiled 750 to 586 computations (21.9% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	47
1	50	47

end0.0ms (0%)

sample2.1s (49%)

Algorithm

1×

intervals

Results

651.0ms	2044×	body	1024	valid
327.0ms	4229×	body	128	valid
197.0ms	986×	body	512	valid
126.0ms	247×	body	2048	valid
63.0ms	494×	body	256	valid

Compiler

Compiled 374 to 293 computations (21.7% saved)

Details

analyze3.0ms (0.1%)

sample40.0ms (0.9%)

simplify112.0ms (2.7%)

prune7.0ms (0.2%)

localize13.0ms (0.3%)

rewrite14.0ms (0.3%)

series62.0ms (1.5%)

simplify122.0ms (2.9%)

prune100.0ms (2.4%)

localize9.0ms (0.2%)

rewrite27.0ms (0.6%)

series71.0ms (1.7%)

simplify87.0ms (2.1%)

prune94.0ms (2.2%)

localize10.0ms (0.2%)

rewrite52.0ms (1.2%)

series164.0ms (3.9%)

simplify179.0ms (4.3%)

prune280.0ms (6.6%)

localize21.0ms (0.5%)

rewrite40.0ms (0.9%)

series298.0ms (7.1%)

simplify113.0ms (2.7%)

prune101.0ms (2.4%)

regimes131.0ms (3.1%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (49%)

Profiling