Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	273×	body	80	valid
4.0ms	6×	body	1280	valid
3.0ms	70×	body	80	overflowed
3.0ms	9×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	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

prune3.0ms

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: 0.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (log (+ 1.0 (exp x))) (* x y))
2.0ms	(+ 1.0 (exp x))
11.0ms	(log (+ 1.0 (exp x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (43.0ms)

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

prune90.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	4	55

Merged error: 0.7b

Counts

55 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.4b	(log (sqrt (+ 1.0 (exp x))))
1.4b	(log (sqrt (+ 1.0 (exp x))))

rewrite16.0ms

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

series30.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
2.0ms	(+ 1.0 (exp x))
13.0ms	(log (sqrt (+ 1.0 (exp x))))
13.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	155	476
1	390	432
2	1073	422
3	5002	414

prune138.0ms

Filtered

54 candidates to 76 candidates (-40.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.7b

Counts

80 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (+ 1.0 (exp x)))
0.7b	(log (+ 1.0 (exp x)))
0.7b	(log (+ 1.0 (exp x)))
11.7b	(/ (- (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1.0 (exp x))) (* x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`log-prod` `times-frac`
9×	`add-exp-log`
7×	`pow1`
6×	`log-div` `add-cbrt-cube`
4×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp` `difference-of-squares`
3×	`rem-log-exp` `associate-/r*` `log-pow` `distribute-lft-out`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 81

Calls

4 calls:

3.0ms	(log (+ 1.0 (exp x)))
3.0ms	(log (+ 1.0 (exp x)))
3.0ms	(log (+ 1.0 (exp x)))
11.0ms	(/ (- (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1.0 (exp x))) (* x y)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(log (+ 1.0 (exp x)))
10.0ms	(log (+ 1.0 (exp x)))
10.0ms	(log (+ 1.0 (exp x)))
28.0ms	(/ (- (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1.0 (exp x))) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	318	1230
1	1389	1140
2	5001	1118

prune196.0ms

Filtered

75 candidates to 93 candidates (-24.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0.7b

Counts

97 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
7.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite22.0ms

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:

7.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
10.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
4.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify133.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	292	480
1	1010	443
2	4638	436
3	5002	436

prune98.0ms

Filtered

43 candidates to 53 candidates (-23.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	53	4	57

Merged error: 0.7b

Counts

57 → 4

regimes90.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample978.0ms

Algorithm

intervals

Results

384.0ms	8374×	body	80	valid
89.0ms	2289×	body	80	overflowed
78.0ms	258×	body	640	valid
63.0ms	115×	body	1280	valid
37.0ms	200×	body	320	valid
11.0ms	100×	body	160	valid

Details

sample41.0ms

simplify5.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series22.0ms

simplify48.0ms

prune90.0ms

localize10.0ms

rewrite16.0ms

series30.0ms

simplify40.0ms

prune138.0ms

localize12.0ms

rewrite22.0ms

series60.0ms

simplify48.0ms

prune196.0ms

localize13.0ms

rewrite22.0ms

series17.0ms

simplify133.0ms

prune98.0ms

regimes90.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample978.0ms

Profiling