Details

sample59.0ms

Algorithm

intervals

Results

36.0ms	78×	body	1280	valid
9.0ms	45×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	96×	body	80	valid
1.0ms	84×	body	80	nan
1.0ms	11×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize3.0ms

Local error

Found 1 expressions with local error:

3.1b	(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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune47.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

24.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series100.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
43.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632

prune299.0ms

Filtered

128 candidates to 81 candidates (63.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (log (+ 1.0 x)))
0.2b	(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
3.1b	(log (+ 1.0 x))
3.1b	(log (+ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
29×	`pow1`
28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `pow1/2` `log-pow`
8×	`add-exp-log` `log-prod`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

3.0ms	(sqrt (log (+ 1.0 x)))
7.0ms	(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series226.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sqrt (log (+ 1.0 x)))
42.0ms	(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
48.0ms	(log (+ 1.0 x))
42.0ms	(log (+ 1.0 x))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	347	628
1	1405	567
2	5002	530

prune186.0ms

Filtered

118 candidates to 67 candidates (56.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
3.1b	(log (+ 1.0 x))
16.2b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
17.3b	(log (+ (pow 1.0 3) (pow x 3)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
28×	`log-prod`
20×	`pow1` `add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`prod-diff` `log-pow`
11×	`distribute-lft-out`
10×	`log-div`
9×	`associate--l+`
8×	`unpow-prod-down` `cube-prod`
7×	`add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`rem-log-exp` `associate--r+`
2×	`associate--l-` `sum-cubes` `associate--r-`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

20.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
3.0ms	(log (+ 1.0 x))
6.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
11.0ms	(log (+ (pow 1.0 3) (pow x 3)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
40.0ms	(log (+ 1.0 x))
71.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
254.0ms	(log (+ (pow 1.0 3) (pow x 3)))

simplify59.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	507	1746
1	1860	1350
2	5002	1345

prune391.0ms

Filtered

122 candidates to 82 candidates (67.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 22.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

944.0ms	2195×	body	1280	valid
345.0ms	1690×	body	640	valid
86.0ms	824×	body	320	valid
61.0ms	2867×	body	80	valid
34.0ms	2578×	body	80	nan
25.0ms	424×	body	160	valid