Details

Time bar (total: 18.6s)

sample141.0ms

Algorithm
intervals
Results
44.0ms778×body80nan
36.0ms258×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12011
24811
311311
447311
5203011
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.0b
(- (* x (log y)) y)
0.3b
(* x (log y))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
20×*-un-lft-identity associate--l+
14×add-sqr-sqrt
12×add-cube-cbrt
11×add-log-exp
10×associate-+l+
9×distribute-rgt-in distribute-lft-in
8×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r* distribute-lft-out
3×sub-neg associate-+r+ associate-*l* sum-log log-pow
2×distribute-lft-out--
1×+-commutative associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 74
Calls
3 calls:
188.0ms
(+ (- (- (* x (log y)) y) z) (log t))
14.0ms
(- (* x (log y)) y)
14.0ms
(* x (log y))

series172.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (- (- (* x (log y)) y) z) (log t))
61.0ms
(- (* x (log y)) y)
41.0ms
(* x (log y))

simplify912.0ms

Counts
83 → 83
Iterations

Useful iterations: done (909.0ms)

IterNodesCost
0148857
1346828
21207764
done5001755

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
18.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt y) (cbrt y))
260.0ms
(cbrt y)
259.0ms
(cbrt y)
264.0ms
(cbrt y)

simplify1.0s

Counts
85 → 85
Iterations

Useful iterations: done (1.0s)

IterNodesCost
061524
1139417
2735397
done5000383

prune302.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
19.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(pow y 1/3)

series991.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(* (cbrt y) (cbrt y))
263.0ms
(cbrt y)
213.0ms
(cbrt y)
213.0ms
(pow y 1/3)

simplify2.9s

Counts
92 → 92
Iterations

Useful iterations: done (2.9s)

IterNodesCost
089577
1255448
21934414
done5002396

prune556.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow (pow y (sqrt 1/3)) (sqrt 1/3))
5.8b
(pow y (sqrt 1/3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
12×pow-unpow
7×add-exp-log
6×cbrt-prod sqrt-prod
5×pow1 pow-exp
4×add-cbrt-cube add-log-exp
3×pow-to-exp sqr-pow
2×pow-pow pow1/3
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(pow (pow y (sqrt 1/3)) (sqrt 1/3))
5.0ms
(pow y (sqrt 1/3))

series1.3s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt y)
261.0ms
(cbrt y)
508.0ms
(pow (pow y (sqrt 1/3)) (sqrt 1/3))
281.0ms
(pow y (sqrt 1/3))

simplify740.0ms

Counts
80 → 80
Iterations

Useful iterations: done (738.0ms)

IterNodesCost
099634
1291565
21231514
done5000443

prune549.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.4s24107×body80nan
622.0ms8030×body80valid