Details

Time bar (total: 5.9s)

sample15.0ms

Algorithm
intervals
Results
7.0ms352×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize5.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ x (* y y))

rewrite4.0ms

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:
3.0ms
(/ x (* y y))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ x (* y y))

simplify2.2s

Counts
24 → 24
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
043185
196182
2299152
31136152
43394152
done5000152

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ y x) y)
0.7b
(/ 1 (* (/ y x) y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
17×add-sqr-sqrt
16×add-cbrt-cube
13×times-frac associate-*l*
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-*r* associate-/l*
2×pow-flip pow-prod-down associate-*l/ 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:
10.0ms
(* (/ y x) y)
8.0ms
(/ 1 (* (/ y x) y))

series36.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (/ y x) y)
17.0ms
(/ 1 (* (/ y x) y))

simplify580.0ms

Counts
71 → 71
Iterations

Useful iterations: done (578.0ms)

IterNodesCost
0102596
1250546
2949456
done5000416

prune106.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
13.0ms
(* (/ 1 y) (/ x y))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (/ 1 y) (/ x y))

simplify654.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
0110633
1328529
21346423
done5000423

prune91.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sqrt x) y)
0.1b
(/ (sqrt x) y)
0.2b
(* (/ (sqrt x) y) (/ (sqrt x) y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
131×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
72×sqrt-prod
28×swap-sqr
22×associate-*r* associate-*l*
19×add-exp-log add-cbrt-cube
12×associate-/l*
10×pow1
9×unswap-sqr
6×cbrt-undiv div-exp associate-/r* div-inv
4×prod-exp cbrt-unprod
3×add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
3 → 183
Calls
3 calls:
3.0ms
(/ (sqrt x) y)
3.0ms
(/ (sqrt x) y)
26.0ms
(* (/ (sqrt x) y) (/ (sqrt x) y))

series163.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (sqrt x) y)
67.0ms
(/ (sqrt x) y)
32.0ms
(* (/ (sqrt x) y) (/ (sqrt x) y))

simplify1.1s

Counts
192 → 192
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01902646
15832268
225111940
done50011933

prune319.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes70.0ms

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
089
1119
done119

end0.0ms

sample375.0ms

Algorithm
intervals
Results
205.0ms10663×body80valid