Details

sample235.0ms

Algorithm

intervals

Results

21.0ms	794×	body	80	nan
9.0ms	256×	body	80	valid

simplify445.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

prune4.0ms

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 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.0b	(log (- (/ 1.0 x) 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`log-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 32

Calls

2 calls:

7.0ms	(- (/ 1.0 x) 1.0)
9.0ms	(log (- (/ 1.0 x) 1.0))

series15.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- (/ 1.0 x) 1.0)
12.0ms	(log (- (/ 1.0 x) 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4982	371
1	4982	371

prune62.0ms

Filtered

28 candidates to 38 candidates (-35.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Merged error: 0.0b

Counts

39 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt (- (/ 1.0 x) 1.0)))
0.3b	(+ (* (log (cbrt (- (/ 1.0 x) 1.0))) 2) (log (cbrt (- (/ 1.0 x) 1.0))))
0.5b	(cbrt (- (/ 1.0 x) 1.0))
0.5b	(cbrt (- (/ 1.0 x) 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`cbrt-prod`
18×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`associate-+r+`
8×	`cbrt-div` `difference-of-squares`
5×	`pow1` `add-exp-log` `add-log-exp`
4×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`pow1/3`
2×	`associate-+r-` `log-pow`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 75

Calls

4 calls:

7.0ms	(log (cbrt (- (/ 1.0 x) 1.0)))
12.0ms	(+ (* (log (cbrt (- (/ 1.0 x) 1.0))) 2) (log (cbrt (- (/ 1.0 x) 1.0))))
6.0ms	(cbrt (- (/ 1.0 x) 1.0))
6.0ms	(cbrt (- (/ 1.0 x) 1.0))

series38.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(log (cbrt (- (/ 1.0 x) 1.0)))
11.0ms	(+ (* (log (cbrt (- (/ 1.0 x) 1.0))) 2) (log (cbrt (- (/ 1.0 x) 1.0))))
8.0ms	(cbrt (- (/ 1.0 x) 1.0))
9.0ms	(cbrt (- (/ 1.0 x) 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4941	1211
1	4941	1211

prune205.0ms

Filtered

76 candidates to 87 candidates (-14.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	87	2	89

Merged error: 0.0b

Counts

89 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (cbrt (- (/ 1.0 x) 1.0))) (sqrt (cbrt (- (/ 1.0 x) 1.0))))
0.5b	(cbrt (- (/ 1.0 x) 1.0))
0.5b	(cbrt (- (/ 1.0 x) 1.0))
0.5b	(cbrt (- (/ 1.0 x) 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
54×	`sqrt-prod`
52×	`cbrt-prod`
39×	`*-un-lft-identity`
19×	`pow1` `add-cube-cbrt`
18×	`cbrt-div`
16×	`swap-sqr`
14×	`sqrt-pow1` `difference-of-squares`
12×	`sqrt-div` `associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `unswap-sqr`
8×	`pow1/2`
7×	`times-frac`
6×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `pow-prod-down` `pow-sqr` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 133

Calls

4 calls:

22.0ms	(* (sqrt (cbrt (- (/ 1.0 x) 1.0))) (sqrt (cbrt (- (/ 1.0 x) 1.0))))
6.0ms	(cbrt (- (/ 1.0 x) 1.0))
6.0ms	(cbrt (- (/ 1.0 x) 1.0))
7.0ms	(cbrt (- (/ 1.0 x) 1.0))

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (sqrt (cbrt (- (/ 1.0 x) 1.0))) (sqrt (cbrt (- (/ 1.0 x) 1.0))))
8.0ms	(cbrt (- (/ 1.0 x) 1.0))
8.0ms	(cbrt (- (/ 1.0 x) 1.0))
8.0ms	(cbrt (- (/ 1.0 x) 1.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5046	1825

prune344.0ms

Filtered

97 candidates to 145 candidates (-49.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	2	147

Merged error: 0.0b

Counts

147 → 2

regimes141.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

591.0ms	24119×	body	80	nan
264.0ms	8000×	body	80	valid

Details

sample235.0ms

simplify445.0ms

prune4.0ms

localize8.0ms

rewrite19.0ms

series15.0ms

simplify57.0ms

prune62.0ms

localize13.0ms

rewrite35.0ms

series38.0ms

simplify52.0ms

prune205.0ms

localize17.0ms

rewrite48.0ms

series35.0ms

simplify38.0ms

prune344.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling