Details

analyze2.0ms (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)

sample34.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	53×	body	1024	valid
8.0ms	142×	body	128	valid
5.0ms	37×	body	512	valid
3.0ms	8×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify96.0ms (3.4%)

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

27.7b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.7b	(log.f64 (+.f64 N 1))
2.8b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite13.0ms (0.5%)

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:

7.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1))

series40.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
12.0ms	(log.f64 (+.f64 N 1))

simplify92.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4935	668
1	4935	668

prune54.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Error

0.1b

Counts

51 → 3

Compiler

Compiled 652 to 425 computations (34.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
2.6b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite14.0ms (0.5%)

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:

5.0ms	(/.f64 (+.f64 N 1) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

series58.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 (+.f64 N 1) N)
23.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5161	940

prune50.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Error

0.0b

Counts

69 → 3

Compiler

Compiled 824 to 559 computations (32.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
2.7b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
2.7b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite32.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`sqrt-prod_binary64_94`
62×	`*-un-lft-identity_binary64_78`
50×	`times-frac_binary64_84`
44×	`add-sqr-sqrt_binary64_100`
38×	`add-cube-cbrt_binary64_113` `log-prod_binary64_164`
12×	`distribute-lft-out_binary64_29`
10×	`pow1_binary64_139`
6×	`add-exp-log_binary64_116` `log-pow_binary64_167`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `div-inv_binary64_75` `sqrt-div_binary64_95` `pow1/2_binary64_158`
2×	`rem-log-exp_binary64_119` `log-div_binary64_165`

Counts

4 → 118

Calls

4 calls:

6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))

series99.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
28.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
23.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
18.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))

simplify73.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4928	2350
1	4928	2350

prune157.0ms (5.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	130	3	133

Error

0.0b

Counts

133 → 3

Compiler

Compiled 2867 to 2093 computations (27% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
0.8b	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))))
2.7b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
2.7b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64_78`
48×	`sqrt-prod_binary64_94`
44×	`log-prod_binary64_164`
37×	`times-frac_binary64_84`
35×	`add-sqr-sqrt_binary64_100`
32×	`add-cube-cbrt_binary64_113`
12×	`pow1_binary64_139`
10×	`log-pow_binary64_167`
9×	`distribute-lft-out_binary64_29`
6×	`exp-sum_binary64_124` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `sqrt-pow1_binary64_96` `exp-prod_binary64_130` `pow1/2_binary64_158`
3×	`div-inv_binary64_75` `sqrt-div_binary64_95`
2×	`rem-sqrt-square_binary64_91` `rem-log-exp_binary64_119` `log-div_binary64_165`
1×	`rem-exp-log_binary64_118`

Counts

4 → 108

Calls

4 calls:

6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
5.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
3.0ms	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))))

series138.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))))
29.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
28.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
17.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))

simplify80.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4918	2190
1	4918	2190

prune155.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	119	4	123

Error

0.0b

Counts

123 → 4

Compiler

Compiled 2821 to 2120 computations (24.8% saved)

regimes74.0ms (2.6%)

Accuracy

Total 0.1b remaining (62.9%)

Threshold costs 0.1b (62.9%)

Compiler

Compiled 500 to 408 computations (18.4% saved)

bsearch1.0ms (0%)

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	52	62
1	52	62

end0.0ms (0%)

sample1.4s (50.5%)

Algorithm

1×

intervals

Results

436.0ms	1951×	body	1024	valid
238.0ms	4260×	body	128	valid
148.0ms	996×	body	512	valid
100.0ms	278×	body	2048	valid
45.0ms	515×	body	256	valid

Compiler

Compiled 290 to 236 computations (18.6% saved)

Details

analyze2.0ms (0.1%)

sample34.0ms (1.2%)

simplify96.0ms (3.4%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series40.0ms (1.4%)

simplify92.0ms (3.3%)

prune54.0ms (1.9%)

localize5.0ms (0.2%)

rewrite14.0ms (0.5%)

series58.0ms (2.1%)

simplify60.0ms (2.1%)

prune50.0ms (1.8%)

localize7.0ms (0.3%)

rewrite32.0ms (1.1%)

series99.0ms (3.5%)

simplify73.0ms (2.6%)

prune157.0ms (5.6%)

localize10.0ms (0.3%)

rewrite29.0ms (1%)

series138.0ms (4.9%)

simplify80.0ms (2.9%)

prune155.0ms (5.5%)

regimes74.0ms (2.6%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (50.5%)

Profiling