Details

analyze321.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

sample27.0ms

Algorithm

intervals

Results

12.0ms	74×	body	1280	valid
5.0ms	47×	body	640	valid
2.0ms	94×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	15×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

prune1.0ms

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: 40.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.2b	(-.f64 (exp.f64 x) 1)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/r*_binary64`
5×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 60

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

series46.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
9.0ms	(-.f64 (exp.f64 x) 1)

simplify91.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4926	1126
1	4926	1126

prune57.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
0.0b	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
0.3b	(*.f64 x 1/12)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sum-log_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

8.0ms	(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
6.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
4.0ms	(*.f64 x 1/12)

series48.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
28.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
13.0ms	(*.f64 x 1/12)

simplify79.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5015	620

prune34.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.4b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-flip_binary64`

Counts

2 → 59

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series46.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
11.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify109.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4899	1034
1	4899	1034

prune32.0ms

Filtered

36 candidates to 65 candidates (-80.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
4.2b	(-.f64 (exp.f64 x) 1)
4.2b	(-.f64 (exp.f64 x) 1)
4.2b	(-.f64 (exp.f64 x) 1)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
8×	`difference-of-squares_binary64`
7×	`cbrt-prod_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `flip3--_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `diff-log_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 62

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)

series113.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
9.0ms	(-.f64 (exp.f64 x) 1)
9.0ms	(-.f64 (exp.f64 x) 1)
9.0ms	(-.f64 (exp.f64 x) 1)

simplify80.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4959	849
1	4959	849

prune66.0ms

Filtered

50 candidates to 74 candidates (-48.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

regimes33.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.9b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	57
1	35	57

end0.0ms

sample853.0ms

Algorithm

intervals

Results

389.0ms	2219×	body	1280	valid
181.0ms	1632×	body	640	valid
74.0ms	2948×	body	80	valid
60.0ms	808×	body	320	valid
19.0ms	393×	body	160	valid

Details

analyze321.0ms

sample27.0ms

simplify15.0ms

prune1.0ms

localize4.0ms

rewrite13.0ms

series46.0ms

simplify91.0ms

prune57.0ms

localize7.0ms

rewrite18.0ms

series48.0ms

simplify79.0ms

prune34.0ms

localize5.0ms

rewrite13.0ms

series46.0ms

simplify109.0ms

prune32.0ms

localize9.0ms

rewrite19.0ms

series113.0ms

simplify80.0ms

prune66.0ms

regimes33.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample853.0ms

Profiling