Details

Time bar (total: 8.0s)

sample31.0ms

Algorithm
intervals
Results
13.0ms367×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: 4.4b

localize6.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ 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 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
9.0ms
(/ x (* y y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ x (* y y))

simplify478.0ms

Counts
26 → 26
Iterations

Useful iterations: done (477.0ms)

IterNodesCost
045197
1112194
2615168
done5000164

prune72.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite16.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
12.0ms
(/ (/ x y) y)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (/ x y) y)

simplify996.0ms

Counts
75 → 75
Iterations

Useful iterations: done (994.0ms)

IterNodesCost
0142874
1343825
21630773
done5001761

prune200.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative log1p-expm1-u add-log-exp
Counts
1 → 59
Calls
1 calls:
34.0ms
(* (/ x y) (/ 1 y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (/ x y) (/ 1 y))

simplify1.8s

Counts
62 → 62
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0112649
1343581
21936442
done5000438

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
8.4b
(cbrt (/ x y))
8.4b
(cbrt (/ x y))
8.4b
(cbrt (/ x y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
37.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series380.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
98.0ms
(cbrt (/ x y))
79.0ms
(cbrt (/ x y))
78.0ms
(cbrt (/ x y))

simplify1.4s

Counts
164 → 164
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01651926
12901797
212301725
done50011696

prune640.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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

sample1.4s

Algorithm
intervals
Results
885.0ms10645×body80valid