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)

sample37.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	60×	body	1024	valid
8.0ms	142×	body	128	valid
4.0ms	11×	body	2048	valid
4.0ms	28×	body	512	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify168.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune6.0ms (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

Merged error: 28.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.8b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.4b	(log.f64 (+.f64 N 1))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_79`
11×	`log-prod_binary64_165`
8×	`add-sqr-sqrt_binary64_101` `pow1_binary64_140`
6×	`add-cube-cbrt_binary64_114` `log-pow_binary64_168`
4×	`associate--l+_binary64_16` `distribute-lft-out--_binary64_31` `log-div_binary64_166` `cancel-sign-sub-inv_binary64_45`
3×	`add-exp-log_binary64_117` `associate--r+_binary64_15`
2×	`add-cbrt-cube_binary64_115` `associate--l-_binary64_17` `flip-+_binary64_53` `add-log-exp_binary64_118` `flip3-+_binary64_82` `distribute-lft-out_binary64_30`
1×	`rem-log-exp_binary64_120` `flip--_binary64_54` `difference-of-squares_binary64_48` `diff-log_binary64_171` `flip3--_binary64_83` `sub-neg_binary64_72`

Counts

2 → 44

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.0ms	(log.f64 (+.f64 N 1))

series71.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
24.0ms	(log.f64 (+.f64 N 1))

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5011	673

prune165.0ms (5.7%)

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

Merged error: 0.0b

Counts

51 → 4

Compiler

Compiled 2057 to 1600 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
2.8b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_79`
24×	`times-frac_binary64_85`
19×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
16×	`log-prod_binary64_165`
7×	`add-exp-log_binary64_117` `distribute-lft-out_binary64_30`
4×	`add-cbrt-cube_binary64_115` `associate-/l*_binary64_24`
3×	`associate-/r*_binary64_23` `pow1_binary64_140`
2×	`rem-log-exp_binary64_120` `div-exp_binary64_130` `div-inv_binary64_76` `add-log-exp_binary64_118` `associate-/l/_binary64_26`
1×	`cbrt-undiv_binary64_113` `flip-+_binary64_53` `log-div_binary64_166` `clear-num_binary64_78` `log-pow_binary64_168` `flip3-+_binary64_82` `frac-2neg_binary64_90`

Counts

2 → 60

Calls

2 calls:

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

series118.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(/.f64 (+.f64 N 1) N)
49.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5428	940

prune95.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

Compiler

Compiled 1344 to 961 computations (28.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (/.f64 N (+.f64 N 1)))
0.0b	(/.f64 N (+.f64 N 1))
2.8b	(log.f64 (/.f64 1 (/.f64 N (+.f64 N 1))))

rewrite49.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_85`
156×	`*-un-lft-identity_binary64_79`
106×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
59×	`log-prod_binary64_165`
28×	`add-exp-log_binary64_117`
25×	`distribute-lft-out_binary64_30`
22×	`associate-/r*_binary64_23`
18×	`associate-/r/_binary64_25`
15×	`div-exp_binary64_130`
10×	`add-cbrt-cube_binary64_115` `div-inv_binary64_76`
8×	`flip-+_binary64_53` `flip3-+_binary64_82`
7×	`rem-log-exp_binary64_120`
6×	`associate-/l*_binary64_24` `pow1_binary64_140`
4×	`cbrt-undiv_binary64_113` `1-exp_binary64_123` `rec-exp_binary64_129`
3×	`add-log-exp_binary64_118` `log-pow_binary64_168`
2×	`inv-pow_binary64_164` `clear-num_binary64_78` `frac-2neg_binary64_90` `pow-flip_binary64_153`
1×	`log-rec_binary64_167` `log-div_binary64_166`

Counts

3 → 207

Calls

3 calls:

11.0ms	(log.f64 (/.f64 1 (/.f64 N (+.f64 N 1))))
10.0ms	(/.f64 1 (/.f64 N (+.f64 N 1)))
6.0ms	(/.f64 N (+.f64 N 1))

series137.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(/.f64 1 (/.f64 N (+.f64 N 1)))
47.0ms	(log.f64 (/.f64 1 (/.f64 N (+.f64 N 1))))
27.0ms	(/.f64 N (+.f64 N 1))

simplify103.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4959	3803
1	4959	3803

prune203.0ms (7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	217	4	221

Merged error: 0.0b

Counts

221 → 4

Compiler

Compiled 3266 to 2326 computations (28.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 N (+.f64 N 1))
2.8b	(log.f64 (/.f64 N (+.f64 N 1)))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_79`
24×	`times-frac_binary64_85`
19×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
18×	`log-prod_binary64_165`
7×	`add-exp-log_binary64_117` `distribute-lft-out_binary64_30`
4×	`associate-/r*_binary64_23` `add-cbrt-cube_binary64_115` `associate-/r/_binary64_25`
3×	`associate-/l*_binary64_24` `pow1_binary64_140`
2×	`rem-log-exp_binary64_120` `div-exp_binary64_130` `flip-+_binary64_53` `div-inv_binary64_76` `add-log-exp_binary64_118` `flip3-+_binary64_82`
1×	`cbrt-undiv_binary64_113` `log-div_binary64_166` `clear-num_binary64_78` `log-pow_binary64_168` `frac-2neg_binary64_90`

Counts

2 → 62

Calls

2 calls:

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

series76.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(log.f64 (/.f64 N (+.f64 N 1)))
27.0ms	(/.f64 N (+.f64 N 1))

simplify88.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4917	995
1	4917	995

prune59.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

Compiler

Compiled 959 to 670 computations (30.1% saved)

regimes18.0ms (0.6%)

Compiler: Compiled 56 to 43 computations (23.2% saved)

bsearch18.0ms (0.6%)

Steps

Iters	Range		Point
9	247.75516650173577	543114540.1748827	9699.45720400611

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	39
1	45	39

end0.0ms (0%)

sample1.2s (43.4%)

Algorithm

1×

intervals

Results

461.0ms	1947×	body	1024	valid
247.0ms	4291×	body	128	valid
152.0ms	1002×	body	512	valid
110.0ms	269×	body	2048	valid
48.0ms	491×	body	256	valid

Compiler

Compiled 88 to 69 computations (21.6% saved)

Details

analyze2.0ms (0.1%)

sample37.0ms (1.3%)

simplify168.0ms (5.8%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite16.0ms (0.5%)

series71.0ms (2.5%)

simplify69.0ms (2.4%)

prune165.0ms (5.7%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series118.0ms (4.1%)

simplify75.0ms (2.6%)

prune95.0ms (3.3%)

localize6.0ms (0.2%)

rewrite49.0ms (1.7%)

series137.0ms (4.8%)

simplify103.0ms (3.6%)

prune203.0ms (7%)

localize5.0ms (0.2%)

rewrite17.0ms (0.6%)

series76.0ms (2.6%)

simplify88.0ms (3.1%)

prune59.0ms (2.1%)

regimes18.0ms (0.6%)

bsearch18.0ms (0.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (43.4%)

Profiling