Details

analyze81.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

sample40.0ms

Algorithm

intervals

Results

10.0ms	234×	body	80	valid
3.0ms	9×	body	640	valid
2.0ms	4×	body	1280	valid
1.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5973	9

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.0b	(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 → 44

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)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4843	504
1	4843	504

prune83.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(log (+ 1.0 (exp x)))
0.7b	(pow (log (+ 1.0 (exp x))) 3)
0.7b	(cbrt (pow (log (+ 1.0 (exp x))) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`log-prod`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))
3.0ms	(pow (log (+ 1.0 (exp x))) 3)
3.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))

series39.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
10.0ms	(log (+ 1.0 (exp x)))
15.0ms	(pow (log (+ 1.0 (exp x))) 3)
13.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5015	744

prune105.0ms

Filtered

47 candidates to 87 candidates (-85.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

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))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
2.0ms	(+ 1.0 (exp x))
14.0ms	(log (sqrt (+ 1.0 (exp x))))
14.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5018	650

prune128.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
1.0b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.0b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.0b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
23×	`pow1`
14×	`associate-*l/`
13×	`cbrt-prod`
12×	`pow1/3`
11×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`associate-*r/`
6×	`pow-plus` `associate-r`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 100

Calls

4 calls:

15.0ms	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
3.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
3.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
3.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
51.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
48.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
51.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4979	3174
1	4979	3174

prune255.0ms

Filtered

75 candidates to 112 candidates (-49.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0b

Counts

116 → 4

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	12
1	39	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

295.0ms	7380×	body	80	valid
67.0ms	221×	body	640	valid
59.0ms	109×	body	1280	valid
31.0ms	179×	body	320	valid
11.0ms	111×	body	160	valid

Details

analyze81.0ms

sample40.0ms

simplify73.0ms

prune3.0ms

localize8.0ms

rewrite13.0ms

series23.0ms

simplify66.0ms

prune83.0ms

localize11.0ms

rewrite13.0ms

series39.0ms

simplify48.0ms

prune105.0ms

localize11.0ms

rewrite17.0ms

series31.0ms

simplify47.0ms

prune128.0ms

localize14.0ms

rewrite27.0ms

series161.0ms

simplify72.0ms

prune255.0ms

regimes181.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling