Details

sample98.0ms

Algorithm

intervals

Results

55.0ms	84×	body	10240	exit
20.0ms	284×	body	80	valid
3.0ms	3×	body	1280	valid
2.0ms	9×	body	320	valid
2.0ms	4×	body	640	valid
1.0ms	3×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ 1.0 (exp x))
67.0ms	(log (+ 1.0 (exp x)))

simplify101.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	128	169
1	337	152
2	897	151
3	3150	150
4	5002	150

prune78.0ms

Filtered

33 candidates to 24 candidates (72.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`+-commutative` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log`

Counts

4 → 64

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(+ 1.0 (exp x))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
7.0ms	(+ 1.0 (exp x))
100.0ms	(log (sqrt (+ 1.0 (exp x))))
100.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify38.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	155	476
1	390	434
2	1073	422
3	5002	414

prune198.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
7.3b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`add-exp-log`
8×	`associate-r` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`log-prod` `associate-l` `prod-exp` `sum-log`
2×	`log-div` `flip3-+` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

5.0ms	(* 1/2 (pow x 2))
6.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
6.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series95.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* 1/2 (pow x 2))
16.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
52.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	277	371
1	1136	331
2	5001	327

prune138.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
7.3b	(log (+ (* (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (pow (cbrt x) 2)) (+ x 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod` `pow1/3`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(log (+ (* (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (pow (cbrt x) 2)) (+ x 2.0)))

series628.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt x)
171.0ms	(cbrt x)
169.0ms	(cbrt x)
69.0ms	(log (+ (* (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (pow (cbrt x) 2)) (+ x 2.0)))

simplify187.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (182.0ms)

Iter	Nodes	Cost
0	213	429
1	786	384
2	4218	372
3	5002	369

prune216.0ms

Filtered

59 candidates to 51 candidates (86.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes48.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	2568×	body	10240	exit
337.0ms	8429×	body	80	valid
73.0ms	257×	body	640	valid
63.0ms	120×	body	1280	valid
31.0ms	187×	body	320	valid
11.0ms	106×	body	160	valid