Details

analyze325.0ms

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

sample29.0ms

Algorithm

intervals

Results

13.0ms	73×	body	1280	valid
5.0ms	52×	body	640	valid
3.0ms	35×	body	320	valid
2.0ms	78×	body	80	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

prune2.0ms

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: 44.4b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.6b	(-.f64 (exp.f64 x) 1)

rewrite14.0ms

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:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

series9.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(-.f64 (exp.f64 x) 1)

simplify72.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4930	697
1	4930	697

prune45.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:

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

series10.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
3.0ms	(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
2.0ms	(*.f64 x 1/12)

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4846	420
1	4846	420

prune28.0ms

Filtered

34 candidates to 52 candidates (-52.9%)

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))))
4.8b	(-.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:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5280	640

prune24.0ms

Filtered

36 candidates to 65 candidates (-80.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
4.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
24×	`associate-l_binary64`
17×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`pow1_binary64`
6×	`associate-/r*_binary64`
4×	`associate-r_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `flip--_binary64` `flip-+_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `pow-flip_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 x) 1)
7.0ms	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
16.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+.f64 (exp.f64 x) 1)
9.0ms	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5724	1517

prune53.0ms

Filtered

90 candidates to 136 candidates (-51.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	136	3	139

Merged error: 0b

Counts

139 → 3

regimes18.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample859.0ms

Algorithm

intervals

Results

403.0ms	2320×	body	1280	valid
187.0ms	1664×	body	640	valid
64.0ms	2795×	body	80	valid
60.0ms	823×	body	320	valid
22.0ms	398×	body	160	valid
0.0ms	1×	body	1280	invalid

Details

analyze325.0ms

sample29.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite14.0ms

series9.0ms

simplify72.0ms

prune45.0ms

localize9.0ms

rewrite20.0ms

series10.0ms

simplify51.0ms

prune28.0ms

localize5.0ms

rewrite13.0ms

series8.0ms

simplify58.0ms

prune24.0ms

localize8.0ms

rewrite38.0ms

series25.0ms

simplify59.0ms

prune53.0ms

regimes18.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample859.0ms

Profiling