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 (1.2%)

Algorithm

1×

intervals

Results

15.0ms	63×	body	1024	valid
8.0ms	138×	body	128	valid
4.0ms	11×	body	2048	valid
4.0ms	29×	body	512	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify166.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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: 29.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.7b	(log.f64 (+.f64 N 1))
3.4b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite14.0ms (0.5%)

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:

8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.0ms	(log.f64 (+.f64 N 1))

series72.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
23.0ms	(log.f64 (+.f64 N 1))

simplify104.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4866	648
1	4866	648

prune54.0ms (1.7%)

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: 0.1b

Counts

47 → 4

Compiler

Compiled 651 to 431 computations (33.8% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
3.3b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite16.0ms (0.5%)

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:

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

series105.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(/.f64 (+.f64 N 1) N)
48.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5305	940

prune54.0ms (1.7%)

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: 0.1b

Counts

70 → 5

Compiler

Compiled 837 to 570 computations (31.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
0.3b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3))
0.4b	(pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3)
3.3b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`*-un-lft-identity_binary64_77`
27×	`add-cube-cbrt_binary64_109` `add-sqr-sqrt_binary64_98`
24×	`times-frac_binary64_83`
16×	`log-prod_binary64_160`
14×	`cbrt-prod_binary64_105`
10×	`add-exp-log_binary64_112` `pow1_binary64_135`
8×	`unpow-prod-down_binary64_153` `cube-prod_binary64_102`
7×	`add-cbrt-cube_binary64_110` `distribute-lft-out_binary64_30`
5×	`log-pow_binary64_163`
4×	`add-log-exp_binary64_113` `associate-/l*_binary64_24`
3×	`associate-/r*_binary64_23` `pow-unpow_binary64_151`
2×	`rem-log-exp_binary64_115` `sqr-pow_binary64_49` `cube-mult_binary64_104` `div-exp_binary64_125` `associate-/l/_binary64_26` `div-inv_binary64_74` `unpow3_binary64_140`
1×	`pow-to-exp_binary64_143` `rem-cbrt-cube_binary64_100` `rem-cube-cbrt_binary64_99` `flip-+_binary64_51` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `pow-exp_binary64_142` `log-div_binary64_161` `clear-num_binary64_76` `pow1/3_binary64_156` `frac-2neg_binary64_88` `pow-pow_binary64_146`

Counts

4 → 108

Calls

4 calls:

6.0ms	(/.f64 (+.f64 N 1) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3))
3.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3)

series210.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3)
59.0ms	(/.f64 (+.f64 N 1) N)
44.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
40.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3))

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5083	1793

prune113.0ms (3.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	118	7	125

Merged error: 0.1b

Counts

125 → 7

Compiler

Compiled 1791 to 1353 computations (24.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 3))
0.4b	(pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 3)
0.7b	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
3.3b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_160`
31×	`*-un-lft-identity_binary64_77`
25×	`add-cube-cbrt_binary64_109` `add-sqr-sqrt_binary64_98`
20×	`cbrt-prod_binary64_105` `exp-sum_binary64_120`
14×	`unpow-prod-down_binary64_153` `cube-prod_binary64_102`
13×	`pow1_binary64_135`
12×	`times-frac_binary64_83`
8×	`exp-prod_binary64_126` `log-pow_binary64_163`
7×	`add-exp-log_binary64_112`
5×	`add-cbrt-cube_binary64_110` `pow-pow_binary64_146`
4×	`add-log-exp_binary64_113`
3×	`pow-unpow_binary64_151` `distribute-lft-out_binary64_30`
2×	`rem-log-exp_binary64_115` `sqr-pow_binary64_49` `cube-mult_binary64_104` `unpow3_binary64_140`
1×	`pow-to-exp_binary64_143` `rem-cbrt-cube_binary64_100` `rem-cube-cbrt_binary64_99` `pow-exp_binary64_142` `div-exp_binary64_125` `log-div_binary64_161` `pow1/3_binary64_156` `rem-exp-log_binary64_114` `div-inv_binary64_74`

Counts

4 → 107

Calls

4 calls:

6.0ms	(pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 3)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(cbrt.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 3))
3.0ms	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))

series423.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 3)
90.0ms	(cbrt.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 3))
85.0ms	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
41.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify79.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5033	1939

prune117.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	3	4
Picked	1	0	1
Done	1	1	2
Total	120	6	126

Merged error: 0.1b

Counts

126 → 6

Compiler

Compiled 1841 to 1416 computations (23.1% saved)

regimes21.0ms (0.7%)

Compiler: Compiled 91 to 78 computations (14.3% saved)

bsearch12.0ms (0.4%)

Steps

Iters	Range		Point
6	8178.440650095664	57021.44983406158	10798.609560932427

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	39	37
1	39	37

end0.0ms (0%)

sample1.3s (41.4%)

Algorithm

1×

intervals

Results

477.0ms	2014×	body	1024	valid
242.0ms	4244×	body	128	valid
149.0ms	983×	body	512	valid
105.0ms	263×	body	2048	valid
47.0ms	496×	body	256	valid

Compiler

Compiled 122 to 103 computations (15.6% saved)

Details

analyze2.0ms (0.1%)

sample37.0ms (1.2%)

simplify166.0ms (5.3%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite14.0ms (0.5%)

series72.0ms (2.3%)

simplify104.0ms (3.3%)

prune54.0ms (1.7%)

localize4.0ms (0.1%)

rewrite16.0ms (0.5%)

series105.0ms (3.4%)

simplify72.0ms (2.3%)

prune54.0ms (1.7%)

localize7.0ms (0.2%)

rewrite26.0ms (0.8%)

series210.0ms (6.7%)

simplify66.0ms (2.1%)

prune113.0ms (3.6%)

localize13.0ms (0.4%)

rewrite29.0ms (0.9%)

series423.0ms (13.5%)

simplify79.0ms (2.5%)

prune117.0ms (3.7%)

regimes21.0ms (0.7%)

bsearch12.0ms (0.4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (41.4%)

Profiling