Details

Time bar (total: 20.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms342×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3387
4447
done447

prune3.0ms

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)))

rewrite24.0ms

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:
24.0ms
(* x (- 1.0 (* x y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (- 1.0 (* x y)))

simplify2.2s

Counts
27 → 27
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
051273
1122270
2332236
31181236
done5000236

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:
31.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
291.0ms
(* (cbrt x) (cbrt x))
253.0ms
(cbrt x)
299.0ms
(cbrt x)
284.0ms
(cbrt x)

simplify5.3s

Counts
85 → 85
Iterations

Useful iterations: done (5.3s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune281.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))

series1.3s

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt x)
260.0ms
(cbrt x)
412.0ms
(cbrt (cbrt x))
346.0ms
(cbrt (cbrt x))

simplify4.2s

Counts
62 → 62
Iterations

Useful iterations: done (4.2s)

IterNodesCost
042346
175328
2147300
3304288
4970288
54752288
done5001276

prune294.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (- (* (pow x 2) y)))
8.6b
(* (pow x 2) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
6×add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*r* prod-exp
2×pow1 sum-log unpow2 sqr-pow
1×+-commutative neg-sub0 pow-to-exp associate-+r- flip3-+ unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 42
Calls
2 calls:
15.0ms
(+ (* x 1.0) (- (* (pow x 2) y)))
13.0ms
(* (pow x 2) y)

series492.0ms

Counts
2 → 6
Calls
2 calls:
470.0ms
(+ (* x 1.0) (- (* (pow x 2) y)))
22.0ms
(* (pow x 2) y)

simplify4.2s

Counts
48 → 48
Iterations

Useful iterations: done (4.2s)

IterNodesCost
079473
1200424
2721371
33183337
done5001335

prune117.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample820.0ms

Algorithm
intervals
Results
403.0ms10749×body80valid