Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample38.0ms

Algorithm

intervals

Results

18.0ms	109×	body	1280	valid
8.0ms	81×	body	640	valid
3.0ms	43×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	68	4
1	68	4

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: 58.9b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.4b	(-.f64 (exp.f64 x) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 13

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1.0)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(-.f64 (exp.f64 x) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4881	115
1	4881	115

prune33.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x 1/6))
0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 52

Calls

3 calls:

3.0ms	(+.f64 1/2 (*.f64 x 1/6))
7.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 1/2 (*.f64 x 1/6))
9.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
3.0ms	(*.f64 x 1/6)

simplify63.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4857	451
1	4857	451

prune43.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Merged error: 0.0b

Counts

63 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1.0)))
4.4b	(-.f64 (exp.f64 x) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`log-prod_binary64` `exp-sum_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `exp-prod_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `log-div_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `log-pow_binary64` `rem-exp-log_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1.0)))
4.0ms	(-.f64 (exp.f64 x) 1.0)

series5.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1.0)))
2.0ms	(-.f64 (exp.f64 x) 1.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5056	266

prune25.0ms

Filtered

26 candidates to 38 candidates (-46.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

regimes60.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

544.0ms	3428×	body	1280	valid
245.0ms	2494×	body	640	valid
84.0ms	8000×	pre	80	true
81.0ms	1284×	body	320	valid
24.0ms	606×	body	160	valid
4.0ms	188×	body	80	valid

Details

analyze3.0ms

sample38.0ms

simplify7.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify63.0ms

prune33.0ms

localize6.0ms

rewrite15.0ms

series19.0ms

simplify63.0ms

prune43.0ms

localize7.0ms

rewrite11.0ms

series5.0ms

simplify53.0ms

prune25.0ms

regimes60.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling