Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample83.0ms

Algorithm

intervals

Results

48.0ms	107×	body	1280	valid
22.0ms	92×	body	640	valid
4.0ms	32×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	7×	body	80	valid

simplify152.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4905	8
1	4905	8

prune5.0ms

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: 58.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.6b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 92

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5415	1237

prune78.0ms

Filtered

60 candidates to 98 candidates (-63.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-r_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

8.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series18.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 (pow.f64 eps 5) -2/5))
5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5106	723

prune55.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))
0.1b	(*.f64 -2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 67

Calls

3 calls:

5.0ms	(-.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))
5.0ms	(*.f64 -2/5 (pow.f64 eps 5))
7.0ms	(*.f64 2/3 (pow.f64 eps 3))

series43.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(-.f64 (.f64 -2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))
9.0ms	(*.f64 -2/5 (pow.f64 eps 5))
7.0ms	(*.f64 2/3 (pow.f64 eps 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5043	595

prune52.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
5.6b	(log.f64 (-.f64 1 eps))
5.7b	(log.f64 (+.f64 1 eps))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`log-pow_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`associate--r+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 62

Calls

3 calls:

17.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
6.0ms	(log.f64 (-.f64 1 eps))
6.0ms	(log.f64 (+.f64 1 eps))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
5.0ms	(log.f64 (-.f64 1 eps))
5.0ms	(log.f64 (+.f64 1 eps))

simplify66.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4883	681
1	4883	681

prune37.0ms

Filtered

53 candidates to 71 candidates (-34.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

regimes18.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	15
1	43	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	3366×	body	1280	valid
618.0ms	2532×	body	640	valid
183.0ms	1237×	body	320	valid
56.0ms	627×	body	160	valid
10.0ms	238×	body	80	valid

Details

analyze4.0ms

sample83.0ms

simplify152.0ms

prune5.0ms

localize5.0ms

rewrite20.0ms

series8.0ms

simplify51.0ms

prune78.0ms

localize9.0ms

rewrite21.0ms

series18.0ms

simplify51.0ms

prune55.0ms

localize9.0ms

rewrite21.0ms

series43.0ms

simplify56.0ms

prune52.0ms

localize11.0ms

rewrite33.0ms

series17.0ms

simplify66.0ms

prune37.0ms

regimes18.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling