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

sample28.0ms

Algorithm

intervals

Results

11.0ms	66×	body	1280	valid
6.0ms	51×	body	640	valid
3.0ms	35×	body	320	valid
2.0ms	93×	body	80	valid
1.0ms	11×	body	160	valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4999	7
1	4999	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: 41.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
3.6b	(-.f64 (exp.f64 x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_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 → 50

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
4.0ms	(-.f64 (exp.f64 x) 1.0)

series10.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
3.0ms	(-.f64 (exp.f64 x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5019	574

prune65.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 0.0b

Counts

57 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
0.4b	(*.f64 x 1/12)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
3.0ms	(*.f64 x 1/12)

simplify72.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4843	225
1	4843	225

prune31.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Merged error: 0.0b

Counts

38 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (/.f64 1.0 (exp.f64 x))))
0.0b	(/.f64 1.0 (exp.f64 x))
3.6b	(-.f64 1 (/.f64 1.0 (exp.f64 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

10.0ms	(/.f64 1 (-.f64 1 (/.f64 1.0 (exp.f64 x))))
4.0ms	(/.f64 1.0 (exp.f64 x))
9.0ms	(-.f64 1 (/.f64 1.0 (exp.f64 x)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 1 (-.f64 1 (/.f64 1.0 (exp.f64 x))))
5.0ms	(/.f64 1.0 (exp.f64 x))
7.0ms	(-.f64 1 (/.f64 1.0 (exp.f64 x)))

simplify74.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4871	1130
1	4871	1130

prune79.0ms

Filtered

65 candidates to 105 candidates (-61.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
3.6b	(-.f64 (exp.f64 x) 1.0)
3.6b	(-.f64 (exp.f64 x) 1.0)
3.6b	(-.f64 (exp.f64 x) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
4.0ms	(-.f64 (exp.f64 x) 1.0)
5.0ms	(-.f64 (exp.f64 x) 1.0)
4.0ms	(-.f64 (exp.f64 x) 1.0)

series14.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
2.0ms	(-.f64 (exp.f64 x) 1.0)
2.0ms	(-.f64 (exp.f64 x) 1.0)
2.0ms	(-.f64 (exp.f64 x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5019	804

prune87.0ms

Filtered

65 candidates to 88 candidates (-35.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

regimes100.0ms

Accuracy

97.4% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 20.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	40
1	32	40

end0.0ms

sample858.0ms

Algorithm

intervals

Results

406.0ms	2310×	body	1280	valid
183.0ms	1637×	body	640	valid
65.0ms	865×	body	320	valid
63.0ms	2783×	body	80	valid
21.0ms	405×	body	160	valid
0.0ms	1×	body	1280	invalid

Details

analyze325.0ms

sample28.0ms

simplify93.0ms

prune2.0ms

localize4.0ms

rewrite13.0ms

series10.0ms

simplify68.0ms

prune65.0ms

localize7.0ms

rewrite11.0ms

series9.0ms

simplify72.0ms

prune31.0ms

localize5.0ms

rewrite27.0ms

series24.0ms

simplify74.0ms

prune79.0ms

localize8.0ms

rewrite23.0ms

series14.0ms

simplify68.0ms

prune87.0ms

regimes100.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample858.0ms

Profiling