Details

Time bar (total: 18.1s)

sample45.0ms

Algorithm
intervals
Results
22.0ms353×body80valid

simplify4.4s

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: 14.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite74.0ms

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:
33.0ms
(* (* z z) (+ z 1.0))
39.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (* z z) (+ z 1.0))
91.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify958.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (322.0ms)

IterNodesCost
0112858
1343788
21881626
done5000626

prune152.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0b
(/ x (* z z))

rewrite102.0ms

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:
18.0ms
(/ y (+ z 1.0))
66.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
13.0ms
(/ x (* z z))

series158.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ y (+ z 1.0))
81.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
28.0ms
(/ x (* z z))

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01801501
14851416
218071228
done50001214

prune386.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)

rewrite36.0ms

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:
28.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
295.0ms
(* (cbrt x) (cbrt x))
261.0ms
(cbrt x)
230.0ms
(cbrt x)
222.0ms
(cbrt x)

simplify4.8s

Counts
85 → 85
Iterations

Useful iterations: done (4.8s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune265.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.1b
(/ (/ x z) z)
5.3b
(* (/ (/ x z) z) (/ y (+ z 1.0)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
118×add-sqr-sqrt
111×*-un-lft-identity
97×add-cube-cbrt
43×associate-*l*
31×add-exp-log add-cbrt-cube
18×associate-*r*
16×associate-/l*
13×cbrt-undiv div-exp
11×div-inv
7×associate-/r* distribute-lft-out
6×prod-exp cbrt-unprod unswap-sqr
5×pow1
4×associate-/r/
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 194
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
12.0ms
(/ (/ x z) z)
70.0ms
(* (/ (/ x z) z) (/ y (+ z 1.0)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
29.0ms
(/ (/ x z) z)
68.0ms
(* (/ (/ x z) z) (/ y (+ z 1.0)))

simplify2.0s

Counts
203 → 203
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03112720
18872595
226292343
done50002315

prune580.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11518
done1518

end0.0ms

sample1.0s

Algorithm
intervals
Results
598.0ms10754×body80valid