Details

Time bar (total: 21.3s)

sample34.0ms

Algorithm
intervals
Results
16.0ms325×body80valid

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27511
316411
425111
531011
636311
749911
8107611
9448611
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
52.0ms
(* (* z z) (+ z 1.0))
42.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (* z z) (+ z 1.0))
97.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify970.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (353.0ms)

IterNodesCost
0112858
1343788
21881626
done5000626

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.7b
(/ x (* z z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
53.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series173.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ y (+ z 1.0))
87.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
33.0ms
(/ x (* z z))

simplify1.4s

Counts
116 → 116
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01801501
14851416
218071228
done50001214

prune336.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite18.0ms

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:
14.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series887.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt x) (cbrt x))
213.0ms
(cbrt x)
233.0ms
(cbrt x)
217.0ms
(cbrt x)

simplify4.5s

Counts
85 → 85
Iterations

Useful iterations: done (4.5s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune263.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))

rewrite9.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt x)
257.0ms
(cbrt x)
405.0ms
(cbrt (cbrt x))
320.0ms
(cbrt (cbrt x))

simplify3.8s

Counts
62 → 62
Iterations

Useful iterations: done (3.8s)

IterNodesCost
042346
175328
2147300
3304288
4970288
54752288
done5001276

prune294.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11518
done1518

end0.0ms

sample1.5s

Algorithm
intervals
Results
972.0ms10836×body80valid