Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	237×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

9.0ms

(* x (log x))

series176.0ms

Counts

1 → 3

Calls

1 calls:

176.0ms

(* x (log x))

simplify184.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	93	115
1	346	99
2	1044	92
3	4253	92
4	5002	92

prune52.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt x)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt x)))
29.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* x (log (cbrt x)))
337.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
174.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	342	729
1	1457	633
2	5001	547

prune320.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 2 (log (pow (/ 1 x) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
0.6b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
81×	`times-frac`
68×	`associate-+l+`
14×	`add-exp-log`
12×	`associate-+r+`
11×	`pow1`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`pow-exp`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 221

Calls

4 calls:

41.0ms	(* x (* 2 (log (pow (/ 1 x) -1/3))))
51.0ms	(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
7.0ms	(pow (/ 1 x) -1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* x (* 2 (log (pow (/ 1 x) -1/3))))
769.0ms	(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
176.0ms	(cbrt x)
172.0ms	(pow (/ 1 x) -1/3)

simplify95.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	984	2101
1	2885	1914
2	5002	1808

prune637.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* x (* (log (pow (/ 1 (sqrt x)) -1/3)) 2)) (* x (* (log (pow (/ 1 (sqrt x)) -1/3)) 2))) (* x (log (cbrt x))))
0.6b	(cbrt x)
4.1b	(pow (/ 1 (sqrt x)) -1/3)
4.1b	(pow (/ 1 (sqrt x)) -1/3)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

44×	`unpow-prod-down`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
18×	`sqrt-prod`
14×	`add-exp-log`
12×	`associate-+r+` `log-prod`
10×	`pow1` `pow-pow`
9×	`cbrt-prod` `add-log-exp`
8×	`pow-exp`
6×	`distribute-rgt-in` `pow-unpow` `pow-flip` `distribute-lft-in`
4×	`div-exp` `add-cbrt-cube`
3×	`sum-log`
2×	`pow-to-exp` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `distribute-lft-out` `inv-pow` `sqr-pow`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 123

Calls

4 calls:

80.0ms	(+ (+ (* x (* (log (pow (/ 1 (sqrt x)) -1/3)) 2)) (* x (* (log (pow (/ 1 (sqrt x)) -1/3)) 2))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
10.0ms	(pow (/ 1 (sqrt x)) -1/3)
10.0ms	(pow (/ 1 (sqrt x)) -1/3)

series851.0ms

Counts

4 → 12

Calls

4 calls:

432.0ms	(+ (+ (* x (* (log (pow (/ 1 (sqrt x)) -1/3)) 2)) (* x (* (log (pow (/ 1 (sqrt x)) -1/3)) 2))) (* x (log (cbrt x))))
180.0ms	(cbrt x)
118.0ms	(pow (/ 1 (sqrt x)) -1/3)
121.0ms	(pow (/ 1 (sqrt x)) -1/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	669	1250
1	2486	1048
2	5002	1024

prune442.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	16
1	21	16

end0.0ms

sample489.0ms

Algorithm

intervals

Results

154.0ms	8035×	body	80	valid
102.0ms	8234×	body	80	nan