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)

sample71.0ms (1.4%)

Algorithm

1×

intervals

Results

30.0ms	64×	body	1024	valid
17.0ms	149×	body	128	valid
8.0ms	25×	body	512	valid
4.0ms	5×	body	2048	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify309.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune4.0ms (0.1%)

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: 26.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.4b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.5b	(log.f64 (+.f64 N 1))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_77`
11×	`log-prod_binary64_160`
7×	`pow1_binary64_135` `add-sqr-sqrt_binary64_98`
5×	`add-cube-cbrt_binary64_109` `log-pow_binary64_163`
4×	`associate--l+_binary64_16` `distribute-lft-out--_binary64_31` `log-div_binary64_161`
3×	`add-exp-log_binary64_112` `associate--r+_binary64_15`
2×	`add-cbrt-cube_binary64_110` `associate--l-_binary64_17` `add-log-exp_binary64_113` `flip-+_binary64_51` `flip3-+_binary64_80` `distribute-lft-out_binary64_30`
1×	`rem-log-exp_binary64_115` `sub-neg_binary64_70` `flip--_binary64_52` `difference-of-squares_binary64_46` `flip3--_binary64_81` `diff-log_binary64_166`

Counts

2 → 40

Calls

2 calls:

16.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
7.0ms	(log.f64 (+.f64 N 1))

series128.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

82.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
45.0ms	(log.f64 (+.f64 N 1))

simplify186.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	4866	648
1	4866	648

prune105.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

Compiler

Compiled 630 to 418 computations (33.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
3.5b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_77`
24×	`times-frac_binary64_83`
19×	`add-cube-cbrt_binary64_109` `add-sqr-sqrt_binary64_98`
16×	`log-prod_binary64_160`
7×	`add-exp-log_binary64_112` `distribute-lft-out_binary64_30`
4×	`add-cbrt-cube_binary64_110` `associate-/l*_binary64_24`
3×	`associate-/r*_binary64_23` `pow1_binary64_135`
2×	`rem-log-exp_binary64_115` `add-log-exp_binary64_113` `div-exp_binary64_125` `associate-/l/_binary64_26` `div-inv_binary64_74`
1×	`flip-+_binary64_51` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `log-div_binary64_161` `clear-num_binary64_76` `log-pow_binary64_163` `frac-2neg_binary64_88`

Counts

2 → 60

Calls

2 calls:

11.0ms	(/.f64 (+.f64 N 1) N)
10.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

series188.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

113.0ms	(/.f64 (+.f64 N 1) N)
75.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify132.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5305	940

prune91.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

Compiler

Compiled 817 to 554 computations (32.2% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 N 1) (/.f64 1 N))
5.7b	(log.f64 (*.f64 (+.f64 N 1) (/.f64 1 N)))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_112`
17×	`add-sqr-sqrt_binary64_98`
13×	`-un-lft-identity_binary64_77` `associate-r*_binary64_19`
11×	`times-frac_binary64_83`
10×	`add-cube-cbrt_binary64_109`
8×	`prod-exp_binary64_123`
7×	`add-cbrt-cube_binary64_110` `pow1_binary64_135`
6×	`log-div_binary64_161`
5×	`rem-log-exp_binary64_115`
4×	`associate-l_binary64_20` `flip-+_binary64_51` `frac-times_binary64_87` `flip3-+_binary64_80` `associate-*l/_binary64_22` `div-exp_binary64_125`
3×	`unswap-sqr_binary64_45`
2×	`pow-prod-down_binary64_145` `add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `1-exp_binary64_118` `rec-exp_binary64_124` `associate-*r/_binary64_21` `log-pow_binary64_163` `un-div-inv_binary64_75`
1×	`log-prod_binary64_160` `cbrt-undiv_binary64_108` `*-commutative_binary64_10` `distribute-lft-out_binary64_30` `div-inv_binary64_74`

Counts

2 → 62

Calls

2 calls:

20.0ms	(*.f64 (+.f64 N 1) (/.f64 1 N))
14.0ms	(log.f64 (*.f64 (+.f64 N 1) (/.f64 1 N)))

series181.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

105.0ms	(*.f64 (+.f64 N 1) (/.f64 1 N))
76.0ms	(log.f64 (*.f64 (+.f64 N 1) (/.f64 1 N)))

simplify145.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4909	743
1	4909	743

prune96.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

Compiler

Compiled 794 to 585 computations (26.3% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (log.f64 (+.f64 N 1)))
0.7b	(exp.f64 (log.f64 (log.f64 (+.f64 N 1))))
3.5b	(log.f64 (+.f64 N 1))
23.3b	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`log-prod_binary64_160`
14×	`*-un-lft-identity_binary64_77`
13×	`add-sqr-sqrt_binary64_98`
10×	`pow1_binary64_135`
9×	`add-cube-cbrt_binary64_109`
6×	`add-exp-log_binary64_112` `log-pow_binary64_163`
5×	`add-log-exp_binary64_113` `exp-sum_binary64_120`
4×	`add-cbrt-cube_binary64_110` `exp-prod_binary64_126`
3×	`associate--r+_binary64_15`
2×	`rem-log-exp_binary64_115` `distribute-lft-out--_binary64_31` `difference-of-squares_binary64_46` `log-div_binary64_161`
1×	`flip-+_binary64_51` `flip3-+_binary64_80` `sub-neg_binary64_70` `flip--_binary64_52` `flip3--_binary64_81` `diff-log_binary64_166` `rem-exp-log_binary64_114` `distribute-lft-out_binary64_30`

Counts

4 → 62

Calls

4 calls:

15.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))
7.0ms	(log.f64 (+.f64 N 1))
5.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 N 1))))
3.0ms	(log.f64 (log.f64 (+.f64 N 1)))

series465.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))
126.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 N 1))))
108.0ms	(log.f64 (log.f64 (+.f64 N 1)))
46.0ms	(log.f64 (+.f64 N 1))

simplify167.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4830	1015
1	4830	1015

prune112.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0.0b

Counts

77 → 3

Compiler

Compiled 1025 to 689 computations (32.8% saved)

regimes28.0ms (0.6%)

Compiler: Compiled 34 to 29 computations (14.7% saved)

bsearch29.0ms (0.6%)

Steps

Iters	Range		Point
8	1.3787683654321679	38690.63582523804	3446.0082892192754

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	43
1	50	43

end0.0ms (0%)

sample2.4s (47.3%)

Algorithm

1×

intervals

Results

948.0ms	2038×	body	1024	valid
473.0ms	4296×	body	128	valid
293.0ms	984×	body	512	valid
176.0ms	232×	body	2048	valid
80.0ms	450×	body	256	valid

Compiler

Compiled 68 to 57 computations (16.2% saved)

Details

analyze3.0ms (0.1%)

sample71.0ms (1.4%)

simplify309.0ms (6.2%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite28.0ms (0.6%)

series128.0ms (2.6%)

simplify186.0ms (3.7%)

prune105.0ms (2.1%)

localize9.0ms (0.2%)

rewrite29.0ms (0.6%)

series188.0ms (3.8%)

simplify132.0ms (2.6%)

prune91.0ms (1.8%)

localize14.0ms (0.3%)

rewrite43.0ms (0.9%)

series181.0ms (3.6%)

simplify145.0ms (2.9%)

prune96.0ms (1.9%)

localize19.0ms (0.4%)

rewrite41.0ms (0.8%)

series465.0ms (9.3%)

simplify167.0ms (3.3%)

prune112.0ms (2.2%)

regimes28.0ms (0.6%)

bsearch29.0ms (0.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (47.3%)

Profiling