Details

Time bar (total: 11.3s)

sample15.0ms

Algorithm
intervals
Results
6.0ms343×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3377
4417
done417

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (- 1.0 (* x y)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (- 1.0 (* x y)))

simplify1.5s

Counts
27 → 27
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
051273
1122270
2339236
31237236
done5000236

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series963.0ms

Counts
4 → 12
Calls
4 calls:
397.0ms
(* (cbrt x) (cbrt x))
188.0ms
(cbrt x)
186.0ms
(cbrt x)
192.0ms
(cbrt x)

simplify3.1s

Counts
85 → 85
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
061524
1115417
2327397
31169379
43727374
done5000374

prune171.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.1b
(pow (cbrt (cbrt x)) 5)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
3.0ms
(pow (cbrt (cbrt x)) 5)

series1.1s

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt x)
256.0ms
(cbrt (cbrt x))
252.0ms
(cbrt (cbrt x))
355.0ms
(pow (cbrt (cbrt x)) 5)

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
080528
1169487
2366451
3847442
42573442
done5000442

prune204.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (- (* y (* x x))))
12.7b
(* y (* x x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×sum-log
1×+-commutative neg-sub0 associate-+r- flip3-+ associate-*r* unsub-neg neg-log *-commutative flip-+ unswap-sqr
Counts
2 → 34
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (- (* y (* x x))))
6.0ms
(* y (* x x))

series71.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* 1.0 x) (- (* y (* x x))))
27.0ms
(* y (* x x))

simplify2.3s

Counts
40 → 40
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
065406
1183377
2680297
33574289
done5000289

prune69.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes81.0ms

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
067
187
done87

end0.0ms

sample382.0ms

Algorithm
intervals
Results
204.0ms10655×body80valid