Details

Time bar (total: 8.0s)

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

localize8.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ x (* y y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
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))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ x (* y y))

simplify2.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
043185
194182
2279152
31043152
44187152
done5000152

prune47.0ms

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))

rewrite17.0ms

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
prod-exp
pow1
cbrt-undiv
cbrt-unprod
rec-exp 1-exp associate-*r* associate-/l*
pow-flip pow-prod-down associate-*l/ div-inv add-log-exp unswap-sqr
frac-2neg clear-num associate-/r* associate-/r/ *-commutative inv-pow
Counts
2 → 65
Calls
2 calls:
7.0ms
(* (/ y x) y)
7.0ms
(/ 1 (* (/ y x) y))

series39.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (/ y x) y)
20.0ms
(/ 1 (* (/ y x) y))

simplify3.1s

Counts
71 → 71
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0102596
1243540
2776456
34546416
done5000416

prune110.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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
div-exp prod-exp
unswap-sqr
cbrt-undiv cbrt-unprod
pow1
rec-exp 1-exp div-inv
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))

simplify727.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
0110633
1320517
21046423
done5001423

prune92.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite38.0ms

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
unswap-sqr
cbrt-undiv div-exp associate-/r* div-inv
prod-exp cbrt-unprod
add-log-exp
frac-2neg clear-num
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)
23.0ms
(* (/ (sqrt x) y) (/ (sqrt x) y))

series162.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (sqrt x) y)
66.0ms
(/ (sqrt x) y)
30.0ms
(* (/ (sqrt x) y) (/ (sqrt x) y))

simplify742.0ms

Counts
192 → 192
Iterations

Useful iterations: done (736.0ms)

IterNodesCost
01902646
15772260
220021940
done50001933

prune333.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes74.0ms

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

sample372.0ms

Algorithm
intervals
Results
202.0ms10663×body80valid