Details

sample63.0ms

Algorithm

intervals

Results

35.0ms	76×	body	1280	valid
10.0ms	46×	body	640	valid
4.0ms	34×	body	320	valid
2.0ms	86×	body	80	valid
2.0ms	91×	body	80	nan
1.0ms	14×	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

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: 40.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.0b	(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))

simplify37.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

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

prune35.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

19.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 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	5002	753

prune215.0ms

Filtered

81 candidates to 132 candidates (-63.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	131	5	136

Merged error: 0.1b

Counts

136 → 5

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
1.9b	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 145

Calls

3 calls:

20.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
7.0ms	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series14.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
4.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
5.0ms	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	725	1185
1	3061	1043
2	5001	1017

prune315.0ms

Filtered

96 candidates to 154 candidates (-60.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	154	5	159

Merged error: 0.1b

Counts

159 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.2b	(cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
1.1b	(exp (* (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))
1.9b	(pow (exp (* (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`pow-unpow` `add-log-exp`
4×	`add-exp-log` `add-cbrt-cube`
3×	`unpow-prod-down` `pow-pow` `log-pow`
2×	`exp-prod` `exp-to-pow` `pow1/3`
1×	`pow-to-exp` `pow-exp` `rem-exp-log` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
1.0ms	(cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
2.0ms	(exp (* (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))
4.0ms	(pow (exp (* (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
19.0ms	(cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
62.0ms	(exp (* (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))
108.0ms	(pow (exp (* (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1570	3505
1	5001	3243

prune781.0ms

Filtered

57 candidates to 69 candidates (-21.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	69	5	74

Merged error: 0.1b

Counts

74 → 5

regimes133.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	2365×	body	1280	valid
373.0ms	1668×	body	640	valid
96.0ms	815×	body	320	valid
72.0ms	2760×	body	80	valid
50.0ms	2638×	body	80	nan
27.0ms	392×	body	160	valid

Details

sample63.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite3.0ms

series3.0ms

simplify37.0ms

prune35.0ms

localize10.0ms

rewrite32.0ms

series12.0ms

simplify71.0ms

prune215.0ms

localize15.0ms

rewrite41.0ms

series14.0ms

simplify73.0ms

prune315.0ms

localize19.0ms

rewrite9.0ms

series209.0ms

simplify59.0ms

prune781.0ms

regimes133.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling