Details

Time bar (total: 5.6s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (* x y) (+ y 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
16.0ms
(/ (* x y) (+ y 1.0))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (* x y) (+ y 1.0))

simplify1.6s

Counts
30 → 30
Iterations

Useful iterations: done (1.6s)

IterNodesCost
074335
1197320
2690272
32778266
done5000263

prune61.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* x (/ y (+ y 1.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
11.0ms
(/ y (+ y 1.0))
27.0ms
(* x (/ y (+ y 1.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ y (+ y 1.0))
49.0ms
(* x (/ y (+ y 1.0)))

simplify1.4s

Counts
80 → 80
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0125825
1300773
2847699
32193691
done5001687

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* x (cbrt (pow (/ y (+ y 1.0)) 3)))
0.0b
(pow (/ y (+ y 1.0)) 3)
21.7b
(cbrt (pow (/ y (+ y 1.0)) 3))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
90×cbrt-prod
86×times-frac
81×add-sqr-sqrt
66×add-cube-cbrt
56×unpow-prod-down cube-prod
45×associate-*r*
22×distribute-lft-out
14×associate-/r/
11×add-exp-log
10×add-cbrt-cube
7×pow1 flip3-+ flip-+ div-inv unswap-sqr
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l* associate-/l*
2×cbrt-undiv cbrt-div div-exp pow-exp rem-cube-cbrt
1×pow-to-exp pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 216
Calls
4 calls:
11.0ms
(/ y (+ y 1.0))
66.0ms
(* x (cbrt (pow (/ y (+ y 1.0)) 3)))
13.0ms
(pow (/ y (+ y 1.0)) 3)
16.0ms
(cbrt (pow (/ y (+ y 1.0)) 3))

series214.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ y (+ y 1.0))
70.0ms
(* x (cbrt (pow (/ y (+ y 1.0)) 3)))
55.0ms
(pow (/ y (+ y 1.0)) 3)
51.0ms
(cbrt (pow (/ y (+ y 1.0)) 3))

simplify1.2s

Counts
228 → 228
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02563191
16412482
219792231
done50002228

prune358.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample318.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid