Details

analyze4.0ms

Algorithm: search

sample78.0ms

Algorithm

intervals

Results

41.0ms	95×	body	1280	valid
22.0ms	90×	body	640	valid
6.0ms	42×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	12×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	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: 57.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.9b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify130.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	623
2	4497	605
3	5001	605

prune147.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 0.2b

Counts

90 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
8×	`add-sqr-sqrt`
4×	`difference-of-squares`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `unpow2` `sqr-pow`

Counts

2 → 32

Calls

2 calls:

21.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
26.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
9.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify91.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	169	300
1	586	281
2	2737	278
3	5001	278

prune97.0ms

Filtered

25 candidates to 38 candidates (-52.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	35	9	44

Merged error: 0.2b

Counts

44 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(- (pow eps 2) (exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
3.0b	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`log-prod`
8×	`exp-sum` `add-log-exp` `difference-of-squares`
7×	`add-cube-cbrt`
6×	`pow1`
5×	`add-exp-log`
4×	`log-div` `exp-prod` `add-cbrt-cube`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`unpow-prod-down` `exp-diff` `log-pow` `unpow2` `sqr-pow`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--` `rem-exp-log` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

23.0ms	(log (+ (/ (pow eps 2) (pow 1.0 2)) eps))
21.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
29.0ms	(- (pow eps 2) (exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
21.0ms	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (+ (/ (pow eps 2) (pow 1.0 2)) eps))
7.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
9.0ms	(- (pow eps 2) (exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
7.0ms	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

simplify150.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	280	698
1	892	630
2	4011	606
3	5001	600

prune185.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	78	9	87

Merged error: 0.2b

Counts

87 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.3b	(cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.3b	(* (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
3.0b	(exp (* (* (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
22×	`add-sqr-sqrt`
19×	`pow1`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`swap-sqr`
8×	`pow1/3` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-log-exp`
4×	`add-cbrt-cube` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `exp-prod` `exp-to-pow` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
1.0ms	(cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
8.0ms	(* (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
3.0ms	(exp (* (* (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
15.0ms	(cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
38.0ms	(* (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
8.0ms	(exp (* (* (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))) (cbrt (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	700	1747
1	3045	1574
2	5001	1472

prune455.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	91	9	100

Merged error: 0.2b

Counts

100 → 9

regimes173.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

analyze4.0ms

Algorithm: search

sample2.5s

Algorithm

intervals

Results

1.5s	3422×	body	1280	valid
613.0ms	2477×	body	640	valid
183.0ms	1249×	body	320	valid
64.0ms	643×	body	160	valid
9.0ms	209×	body	80	valid

Details

analyze4.0ms

sample78.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite17.0ms

series8.0ms

simplify130.0ms

prune147.0ms

localize10.0ms

rewrite48.0ms

series16.0ms

simplify91.0ms

prune97.0ms

localize14.0ms

rewrite96.0ms

series27.0ms

simplify150.0ms

prune185.0ms

localize18.0ms

rewrite16.0ms

series75.0ms

simplify82.0ms

prune455.0ms

regimes173.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample2.5s

Profiling