Details

Time bar (total: 24.6s)

sample17.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize5.0ms

Local error

Found 1 expressions with local error:

10.9b
(/ x (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
8.0ms
(/ x (* y y))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ x (* y y))

simplify3.7s

Counts
24 → 24
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune65.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
22.0ms
(/ (/ x y) y)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (/ x y) y)

simplify4.8s

Counts
73 → 73
Iterations

Useful iterations: done (4.8s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune173.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* y (/ y x))
0.6b
(/ 1 (* y (/ y x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
17×add-sqr-sqrt
16×add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×div-exp
8×prod-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* associate-/l*
2×pow-flip associate-*r/ pow-prod-down div-inv add-log-exp unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/r/ *-commutative inv-pow
Counts
2 → 65
Calls
2 calls:
22.0ms
(* y (/ y x))
24.0ms
(/ 1 (* y (/ y x)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* y (/ y x))
22.0ms
(/ 1 (* y (/ y x)))

simplify7.5s

Counts
71 → 71
Iterations

Useful iterations: 4 (6.4s)

IterNodesCost
0104610
1240542
2623460
31866422
44524418
done5001418

prune202.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(* (cbrt x) (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
646.0ms
(cbrt x)
314.0ms
(cbrt x)
265.0ms
(cbrt x)
322.0ms
(* (cbrt x) (cbrt x))

simplify5.3s

Counts
85 → 85
Iterations

Useful iterations: done (5.3s)

IterNodesCost
061524
1115417
2321397
31098379
44542374
done5000364

prune257.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes134.0ms

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
done67

end0.0ms

sample631.0ms

Algorithm
intervals
Results
419.0ms10676×body80valid