Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	293×	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))

rewrite9.0ms

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:

8.0ms

(* x (log x))

series183.0ms

Counts

1 → 3

Calls

1 calls:

182.0ms

(* x (log x))

simplify182.0ms

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

prune40.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite39.0ms

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:

9.0ms	(* x (log (cbrt x)))
24.0ms	(+ (* 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:

319.0ms	(* x (log (cbrt x)))
356.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
171.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

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

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))))
0.7b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite105.0ms

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:

38.0ms	(* x (* 2 (log (pow (/ 1 x) -1/3))))
42.0ms	(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
10.0ms	(pow (/ 1 x) -1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

342.0ms	(* x (* 2 (log (pow (/ 1 x) -1/3))))
801.0ms	(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
194.0ms	(cbrt x)
172.0ms	(pow (/ 1 x) -1/3)

simplify94.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (75.0ms)

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

prune534.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt (sqrt x)))) x) (* x (+ (* (log (cbrt (sqrt x))) 2) (log (cbrt x)))))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))
0.7b	(cbrt x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`associate-+r+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `flip-+`

Counts

4 → 52

Calls

4 calls:

21.0ms	(+ (* (* 2 (log (cbrt (sqrt x)))) x) (* x (+ (* (log (cbrt (sqrt x))) 2) (log (cbrt x)))))
1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

529.0ms	(+ (* (* 2 (log (cbrt (sqrt x)))) x) (* x (+ (* (log (cbrt (sqrt x))) 2) (log (cbrt x)))))
152.0ms	(cbrt (sqrt x))
150.0ms	(cbrt (sqrt x))
175.0ms	(cbrt x)

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	286	514
1	1110	451
2	5001	397

prune228.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample469.0ms

Algorithm

intervals

Results

155.0ms	8041×	body	80	valid
93.0ms	7936×	body	80	nan