Details

Time bar (total: 14.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms347×body80valid

simplify21.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 1 expressions with local error:

9.9b
(/ x (* y y))

rewrite10.0ms

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:
9.0ms
(/ x (* y y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ x (* y y))

simplify1.3s

Counts
24 → 24

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (/ 1 y) (/ x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
23×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×associate-*r* associate-*l* add-cbrt-cube
8×div-exp prod-exp
6×unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 56
Calls
1 calls:
29.0ms
(* (/ 1 y) (/ x y))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (/ 1 y) (/ x y))

simplify715.0ms

Counts
59 → 59

prune147.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite23.0ms

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:
18.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (cbrt x) (cbrt x))
239.0ms
(cbrt x)
265.0ms
(cbrt x)
256.0ms
(cbrt x)

simplify964.0ms

Counts
85 → 85

prune270.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
0.5b
(cbrt (/ 1 y))
0.5b
(cbrt (/ 1 y))
0.5b
(cbrt (/ 1 y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 153
Calls
4 calls:
32.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
3.0ms
(cbrt (/ 1 y))
3.0ms
(cbrt (/ 1 y))
3.0ms
(cbrt (/ 1 y))

series1.5s

Counts
4 → 12
Calls
4 calls:
324.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
333.0ms
(cbrt (/ 1 y))
260.0ms
(cbrt (/ 1 y))
576.0ms
(cbrt (/ 1 y))

simplify1.6s

Counts
165 → 165

prune597.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.5s

end0.0ms

sample900.0ms

Algorithm
intervals
Results
425.0ms10733×body80valid