Details

sample62.0ms

Algorithm

intervals

Results

32.0ms	63×	body	1280	valid
12.0ms	50×	body	640	valid
5.0ms	36×	body	320	valid
3.0ms	98×	body	80	valid
2.0ms	77×	body	80	nan
1.0ms	9×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b	(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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

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

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 x))
0.3b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
15.6b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
16.6b	(log (+ (pow 1.0 3) (pow x 3)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
24×	`log-prod`
10×	`pow1` `add-sqr-sqrt` `distribute-lft-out`
9×	`associate--l+`
8×	`add-cube-cbrt` `unpow-prod-down` `log-div` `cube-prod`
6×	`add-exp-log` `log-pow` `add-log-exp`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out--`
3×	`associate--r+`
2×	`associate--l-` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-cubes` `flip--` `associate--r-`
1×	`distribute-rgt-out--` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

2.0ms	(- (* x x) (* 1.0 x))
22.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
7.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
13.0ms	(log (+ (pow 1.0 3) (pow x 3)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* x x) (* 1.0 x))
147.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
72.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
266.0ms	(log (+ (pow 1.0 3) (pow x 3)))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	939
1	1659	889
2	5001	852

prune255.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (/ (pow x 3) (pow 1.0 2)))
0.0b	(+ (* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 (pow x 3)) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))
0.1b	(* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)))
12.5b	(+ (+ (* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 (pow x 3)) (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (- x (+ (pow x 2) (/ (pow x 3) (pow 1.0 2))))))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
148×	`associate-r`
120×	`add-sqr-sqrt`
80×	`unpow-prod-down` `*-un-lft-identity` `cube-prod`
78×	`add-cube-cbrt`
32×	`sqr-pow`
27×	`add-exp-log`
24×	`cube-mult` `unpow3`
20×	`add-log-exp`
17×	`unswap-sqr`
15×	`associate-*r/`
14×	`frac-add`
10×	`prod-exp` `sum-log`
9×	`div-exp` `add-cbrt-cube`
8×	`flip3-+` `flip-+`
6×	`pow1` `pow-to-exp` `pow-exp`
5×	`associate-+r+`
4×	`flip3--` `flip--`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `cbrt-unprod`
1×	`cbrt-undiv` `associate-+l+` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 243

Calls

4 calls:

53.0ms	(+ (pow x 2) (/ (pow x 3) (pow 1.0 2)))
20.0ms	(+ (* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 (pow x 3)) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))
51.0ms	(* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)))
132.0ms	(+ (+ (* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 (pow x 3)) (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (- x (+ (pow x 2) (/ (pow x 3) (pow 1.0 2))))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (pow x 2) (/ (pow x 3) (pow 1.0 2)))
232.0ms	(+ (* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 (pow x 3)) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))
82.0ms	(* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)))
108.0ms	(+ (+ (* 0.3333333333333333 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 (pow x 3)) (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (- x (+ (pow x 2) (/ (pow x 3) (pow 1.0 2))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1230	2766
1	5001	2564

prune696.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	2331×	body	1280	valid
388.0ms	1600×	body	640	valid
107.0ms	843×	body	320	valid
82.0ms	2828×	body	80	valid
58.0ms	2563×	body	80	nan
30.0ms	398×	body	160	valid