Details

sample55.0ms

Algorithm

intervals

Results

28.0ms	72×	body	10240	exit
9.0ms	275×	body	80	valid
4.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.7b	(log (+ 1.0 (exp x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

6.0ms	(+ 1.0 (exp x))
11.0ms	(- (log (+ 1.0 (exp x))) (* x y))
5.0ms	(log (+ 1.0 (exp x)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
48.0ms	(- (log (+ 1.0 (exp x))) (* x y))
57.0ms	(log (+ 1.0 (exp x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
1.5b	(log (sqrt (+ 1.0 (exp x))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(sqrt (+ 1.0 (exp x)))
8.0ms	(sqrt (+ 1.0 (exp x)))
6.0ms	(log (sqrt (+ 1.0 (exp x))))
6.0ms	(log (sqrt (+ 1.0 (exp x))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (+ 1.0 (exp x)))
26.0ms	(sqrt (+ 1.0 (exp x)))
93.0ms	(log (sqrt (+ 1.0 (exp x))))
94.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	162	564
1	453	528
2	1549	508
3	5001	496

prune236.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
4.9b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `log-div`
3×	`flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip-+`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 44

Calls

3 calls:

23.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
17.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
26.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
20.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
45.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify128.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	292	480
1	1010	443
2	4638	436
3	5001	436

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
4.9b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
4.9b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
4.9b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
16.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
16.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
20.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
52.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
45.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
50.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	363	755
1	1304	677
2	5001	644

prune247.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes90.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

977.0ms	2489×	body	10240	exit
296.0ms	8451×	body	80	valid
72.0ms	284×	body	640	valid
62.0ms	129×	body	1280	valid
30.0ms	181×	body	320	valid
14.0ms	129×	body	160	valid