Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	nan
7.0ms	257×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

9.0ms	(- (* x (log y)) z)
44.0ms	(- (- (* x (log y)) z) y)
8.0ms	(* x (log y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* x (log y)) z)
32.0ms	(- (- (* x (log y)) z) y)
33.0ms	(* x (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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 y)))
23.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series528.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* x (log (cbrt y)))
92.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
170.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune350.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* 2/3 (* (log y) x)) (* (log (cbrt y)) x))
0.3b	(* 2/3 (* (log y) x))
0.6b	(cbrt y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`pow1/3` `log-pow` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

8.0ms	(* (log (cbrt y)) x)
16.0ms	(+ (* 2/3 (* (log y) x)) (* (log (cbrt y)) x))
15.0ms	(* 2/3 (* (log y) x))
1.0ms	(cbrt y)

series542.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (log (cbrt y)) x)
184.0ms	(+ (* 2/3 (* (log y) x)) (* (log (cbrt y)) x))
72.0ms	(* 2/3 (* (log y) x))
172.0ms	(cbrt y)

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	310	393
1	1185	355
2	5001	296

prune226.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (log (cbrt y)))
0.6b	(cbrt (log (cbrt y)))
0.6b	(cbrt (log (cbrt y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `pow1/3`
6×	`log-pow`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (log (cbrt y)))
1.0ms	(cbrt (log (cbrt y)))
1.0ms	(cbrt (log (cbrt y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
354.0ms	(cbrt (log (cbrt y)))
352.0ms	(cbrt (log (cbrt y)))
362.0ms	(cbrt (log (cbrt y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	76	291
1	158	267
2	385	259
3	1368	259
4	5001	259

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample932.0ms

Algorithm

intervals

Results

261.0ms	8027×	body	80	valid
177.0ms	7821×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid