Details

sample59.0ms

Algorithm

intervals

Results

30.0ms	68×	body	1280	valid
11.0ms	51×	body	640	valid
6.0ms	27×	body	320	valid
2.0ms	100×	body	80	valid
1.0ms	85×	body	80	nan
1.0ms	10×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize4.0ms

Local error

Found 1 expressions with local error:

3.0b	(log (+ 1.0 x))

rewrite4.0ms

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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

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))))

rewrite38.0ms

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:

21.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
7.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series97.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
42.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify73.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	676	950
1	3419	758
2	5001	757

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

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))))
1.7b	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite48.0ms

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:

26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
7.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
8.0ms	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series141.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
47.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
43.0ms	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify83.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	725	1187
1	3061	1047
2	5001	1021

prune364.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

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))))
1.8b	(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 152

Calls

3 calls:

21.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
7.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
8.0ms	(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series323.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
42.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
223.0ms	(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify94.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	911	1439
1	3846	1305
2	5002	1300

prune403.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes68.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2309×	body	1280	valid
341.0ms	1665×	body	640	valid
81.0ms	787×	body	320	valid
59.0ms	2855×	body	80	valid
34.0ms	2648×	body	80	nan
23.0ms	384×	body	160	valid