Details

sample97.0ms

Algorithm

intervals

Results

51.0ms	112×	body	1280	valid
20.0ms	79×	body	640	valid
7.0ms	43×	body	320	valid
6.0ms	221×	body	80	nan
1.0ms	16×	body	160	valid
0.0ms	6×	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: 58.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

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:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(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)))

simplify133.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

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

prune148.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 0.2b

Counts

90 → 4

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
5.1b	(log (sqrt (- 1.0 eps)))
5.3b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

145×	`*-un-lft-identity`
96×	`times-frac`
92×	`log-prod`
91×	`add-sqr-sqrt`
75×	`sqrt-prod`
61×	`add-cube-cbrt`
38×	`associate-+r+`
29×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
10×	`add-exp-log`
8×	`associate-+l+` `log-pow` `associate-/l*`
6×	`log-div` `sqrt-div` `associate-/r/` `add-cbrt-cube`
4×	`flip3-+` `associate-/r*` `flip-+` `add-log-exp`
3×	`flip3--` `rem-log-exp` `flip--` `div-inv`
2×	`associate-+l-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `sum-log`

Counts

4 → 194

Calls

4 calls:

17.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
8.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
4.0ms	(log (sqrt (- 1.0 eps)))
8.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
7.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
6.0ms	(log (sqrt (- 1.0 eps)))
11.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

simplify76.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	847	2139
1	2981	2032
2	5002	1973

prune444.0ms

Filtered

128 candidates to 206 candidates (-60.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	201	5	206
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	204	6	210

Merged error: 0.1b

Counts

210 → 6

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (/ 0.5 1.0) (/ (pow eps 2) (pow 1.0 2))) (+ (* 0.125 (/ (pow eps 2) (* (pow (sqrt 1.0) 4) (pow 1.0 2)))) (* 1.0 eps))) (* 0.375 (/ (pow eps 2) (pow (sqrt 1.0) 4))))
0.1b	(* 0.375 (/ (pow eps 2) (pow (sqrt 1.0) 4)))
0.1b	(+ (* 0.5 (/ (pow eps 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow eps 2)))
0.4b	(- (+ (log (sqrt 1.0)) (+ (log (* 1.0 (sqrt 1.0))) (+ (* 0.5 (/ (pow eps 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow eps 2))))) (* 0.5 (/ (pow eps 2) (pow 1.0 2))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
90×	`unpow-prod-down`
88×	`add-sqr-sqrt`
84×	`associate-r`
50×	`add-cube-cbrt` `*-un-lft-identity`
28×	`sqrt-prod`
27×	`add-exp-log`
26×	`sqr-pow`
24×	`add-log-exp`
17×	`unswap-sqr`
14×	`frac-add` `unpow2`
13×	`associate-*r/` `sum-log`
10×	`prod-exp`
9×	`div-exp` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1` `pow-to-exp` `pow-exp`
4×	`diff-log`
3×	`associate-l`
2×	`+-commutative` `frac-times` `associate-*l/` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `associate-+l+` `flip3--` `pow-prod-down` `associate--l+` `*-commutative` `flip--` `div-inv`

Counts

4 → 177

Calls

4 calls:

23.0ms	(+ (+ (* (/ 0.5 1.0) (/ (pow eps 2) (pow 1.0 2))) (+ (* 0.125 (/ (pow eps 2) (* (pow (sqrt 1.0) 4) (pow 1.0 2)))) (* 1.0 eps))) (* 0.375 (/ (pow eps 2) (pow (sqrt 1.0) 4))))
26.0ms	(* 0.375 (/ (pow eps 2) (pow (sqrt 1.0) 4)))
13.0ms	(+ (* 0.5 (/ (pow eps 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow eps 2)))
25.0ms	(- (+ (log (sqrt 1.0)) (+ (log (* 1.0 (sqrt 1.0))) (+ (* 0.5 (/ (pow eps 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow eps 2))))) (* 0.5 (/ (pow eps 2) (pow 1.0 2))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (+ (* (/ 0.5 1.0) (/ (pow eps 2) (pow 1.0 2))) (+ (* 0.125 (/ (pow eps 2) (* (pow (sqrt 1.0) 4) (pow 1.0 2)))) (* 1.0 eps))) (* 0.375 (/ (pow eps 2) (pow (sqrt 1.0) 4))))
15.0ms	(* 0.375 (/ (pow eps 2) (pow (sqrt 1.0) 4)))
17.0ms	(+ (* 0.5 (/ (pow eps 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow eps 2)))
70.0ms	(- (+ (log (sqrt 1.0)) (+ (log (* 1.0 (sqrt 1.0))) (+ (* 0.5 (/ (pow eps 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow eps 2))))) (* 0.5 (/ (pow eps 2) (pow 1.0 2))))

simplify57.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1328	2997
1	5001	2793

prune1.7s

Filtered

117 candidates to 189 candidates (-61.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	189	6	195

Merged error: 0.1b

Counts

195 → 6

regimes54.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3316×	body	1280	valid
617.0ms	2521×	body	640	valid
219.0ms	7965×	body	80	nan
182.0ms	1267×	body	320	valid
59.0ms	678×	body	160	valid
9.0ms	218×	body	80	valid

Details

sample97.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite21.0ms

series8.0ms

simplify133.0ms

prune148.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune9.0ms

localize9.0ms

rewrite49.0ms

series41.0ms

simplify76.0ms

prune444.0ms

localize39.0ms

rewrite97.0ms

series153.0ms

simplify57.0ms

prune1.7s

regimes54.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling