Details

analyze123.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	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)

sample65.0ms (1.1%)

Algorithm

1×

intervals

Results

26.0ms	71×	body	1024	valid
11.0ms	125×	body	128	valid
8.0ms	36×	body	512	valid
5.0ms	7×	body	2048	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0%)

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

31.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.7b	(log.f64 (+.f64 N 1))

rewrite64.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.9b

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1))

Compiler

Compiled 607 to 404 computations (33.4% saved)

series112.0ms (1.9%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

59.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
33.0ms	(log.f64 (+.f64 N 1))

Compiler

Compiled 578 to 465 computations (19.6% saved)

simplify125.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4924	853
1	4924	853

prune72.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Error

0.0b

Counts

66 → 3

Compiler

Compiled 802 to 508 computations (36.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1/4 (pow.f64 N 4))
0.2b	(/.f64 1/2 (*.f64 N N))
0.5b	(/.f64 1/3 (pow.f64 N 3))
19.1b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))

rewrite490.0ms (8.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_78`
60×	`times-frac_binary64_84`
50×	`add-sqr-sqrt_binary64_100`
48×	`add-cube-cbrt_binary64_113`
24×	`unpow-prod-down_binary64_157`
20×	`associate-/r*_binary64_22`
19×	`add-exp-log_binary64_116`
16×	`add-log-exp_binary64_117`
13×	`add-cbrt-cube_binary64_114`
12×	`cube-prod_binary64_106`
9×	`frac-sub_binary64_87` `associate-/l*_binary64_23`
8×	`distribute-lft-out_binary64_29` `div-exp_binary64_129` `sqr-pow_binary64_50`
6×	`frac-add_binary64_86` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out--_binary64_30`
5×	`div-inv_binary64_75`
4×	`sum-log_binary64_169` `diff-log_binary64_170` `pow1_binary64_139` `cancel-sign-sub-inv_binary64_44` `cbrt-undiv_binary64_112` `unpow3_binary64_144` `cube-mult_binary64_108`
3×	`frac-2neg_binary64_89` `clear-num_binary64_77`
2×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
1×	`flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `associate--l+_binary64_15` `associate--r+_binary64_14` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`

Counts

4 → 167

Calls

4 calls:

69.0ms	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
8.0ms	(/.f64 1/3 (pow.f64 N 3))
5.0ms	(/.f64 1/4 (pow.f64 N 4))
4.0ms	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 5537 to 4059 computations (26.7% saved)

series171.0ms (2.9%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

43.0ms	(/.f64 1/4 (pow.f64 N 4))
35.0ms	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
32.0ms	(/.f64 1/3 (pow.f64 N 3))
30.0ms	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 870 to 720 computations (17.2% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5309	3761

prune364.0ms (6.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	185	4	189

Error

Counts

189 → 4

Compiler

Compiled 5241 to 3809 computations (27.3% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.2b	(sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
9.3b	(-.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
21.6b	(sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
21.6b	(sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))

rewrite605.0ms (10.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`*-un-lft-identity_binary64_78`
34×	`sqrt-prod_binary64_94`
27×	`sqrt-div_binary64_95`
20×	`add-sqr-sqrt_binary64_100`
13×	`distribute-lft-out_binary64_29`
9×	`add-cube-cbrt_binary64_113` `frac-add_binary64_86` `flip3-+_binary64_81` `flip-+_binary64_52` `frac-sub_binary64_87`
7×	`pow1_binary64_139` `cancel-sign-sub-inv_binary64_44` `distribute-lft-out--_binary64_30`
6×	`add-log-exp_binary64_117`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `difference-of-squares_binary64_47`
3×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `div-inv_binary64_75`
2×	`times-frac_binary64_84`
1×	`diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53`

Counts

4 → 91

Calls

4 calls:

59.0ms	(-.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
35.0ms	(sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
29.0ms	(sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
18.0ms	(sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))

Compiler

Compiled 6115 to 4579 computations (25.1% saved)

series201.0ms (3.4%)

Error

Counts

4 → 16

Calls

4 calls:

64.0ms	(sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
41.0ms	(sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
34.0ms	(sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
29.0ms	(-.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))

Compiler

Compiled 1930 to 1556 computations (19.4% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4991	3546
1	4991	3546

prune426.0ms (7.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Error

Counts

111 → 4

Compiler

Compiled 6077 to 4602 computations (24.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
2.2b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite62.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 60

Calls

2 calls:

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

Compiler

Compiled 810 to 553 computations (31.7% saved)

series109.0ms (1.8%)

Error

Counts

2 → 18

Calls

2 calls:

54.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
39.0ms	(/.f64 (+.f64 N 1) N)

Compiler

Compiled 378 to 326 computations (13.8% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5330	1074

prune70.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Error

Counts

82 → 4

Compiler

Compiled 880 to 617 computations (29.9% saved)

regimes201.0ms (3.4%)

Accuracy

Total 0.0b remaining (42.3%)

Threshold costs 0.0b (42.3%)

Compiler

Compiled 1544 to 1232 computations (20.2% saved)

bsearch2.0ms (0%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	65
1	140	65

end0.0ms (0%)

sample2.4s (40.3%)

Algorithm

1×

intervals

Results

536.0ms	1990×	body	1024	valid
280.0ms	4237×	body	128	valid
185.0ms	1025×	body	512	valid
108.0ms	247×	body	2048	valid
52.0ms	501×	body	256	valid

Compiler

Compiled 800 to 640 computations (20% saved)

Details

analyze123.0ms (2.1%)

sample65.0ms (1.1%)

simplify11.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite64.0ms (1.1%)

series112.0ms (1.9%)

simplify125.0ms (2.1%)

prune72.0ms (1.2%)

localize14.0ms (0.2%)

rewrite490.0ms (8.2%)

series171.0ms (2.9%)

simplify90.0ms (1.5%)

prune364.0ms (6.1%)

localize21.0ms (0.3%)

rewrite605.0ms (10.1%)

series201.0ms (3.4%)

simplify89.0ms (1.5%)

prune426.0ms (7.1%)

localize4.0ms (0.1%)

rewrite62.0ms (1%)

series109.0ms (1.8%)

simplify69.0ms (1.2%)

prune70.0ms (1.2%)

regimes201.0ms (3.4%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (40.3%)

Profiling