Details

sample68.0ms

Algorithm

intervals

Results

37.0ms	78×	body	1280	valid
13.0ms	56×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	85×	body	80	valid
1.0ms	70×	body	80	nan
1.0ms	11×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 40.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.4b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	128	97
1	354	87
2	1280	81
3	5001	78

prune46.0ms

Filtered

18 candidates to 13 candidates (27.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.1b

Counts

19 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

6.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
21.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
5.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify71.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	676	880
1	2962	757
2	5001	753

prune717.0ms

Filtered

132 candidates to 81 candidates (38.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	130	5	135

Merged error: 0.1b

Counts

135 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
9.9b	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
9.9b	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
9.9b	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
30×	`associate-*r/`
26×	`frac-sub`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`frac-times`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`associate-*l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

15.0ms	(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
12.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
11.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
12.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	596	3510
1	2256	3372
2	5002	3258

prune688.0ms

Filtered

121 candidates to 90 candidates (25.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

9.8b	(- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2))))
9.9b	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
9.9b	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
32.6b	(cbrt (- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*l/`
14×	`cbrt-div`
12×	`flip3--` `frac-sub` `flip--`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3-+` `flip-+`
1×	`sub-neg` `diff-log`

Counts

4 → 63

Calls

4 calls:

11.0ms	(- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2))))
7.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
11.0ms	(cbrt (- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2))))
11.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
11.0ms	(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
26.0ms	(cbrt (- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))))

simplify114.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	889	2427
1	3985	2271
2	5001	2265

prune995.0ms

Filtered

75 candidates to 68 candidates (9.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

regimes180.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2285×	body	1280	valid
363.0ms	1636×	body	640	valid
94.0ms	825×	body	320	valid
69.0ms	2825×	body	80	valid
44.0ms	2688×	body	80	nan
29.0ms	429×	body	160	valid

Details

sample68.0ms

simplify3.0ms

prune3.0ms

localize3.0ms

rewrite3.0ms

series3.0ms

simplify38.0ms

prune46.0ms

localize10.0ms

rewrite33.0ms

series10.0ms

simplify71.0ms

prune717.0ms

localize16.0ms

rewrite35.0ms

series48.0ms

simplify82.0ms

prune688.0ms

localize27.0ms

rewrite37.0ms

series59.0ms

simplify114.0ms

prune995.0ms

regimes180.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling