Details

Time bar (total: 8.7s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify10.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ (* x y) (+ y 1.0))

rewrite24.0ms

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:
23.0ms
(/ (* x y) (+ y 1.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (* x y) (+ y 1.0))

simplify2.2s

Counts
30 → 30
Iterations

Useful iterations: done (2.2s)

IterNodesCost
074335
1197320
2690272
32778266
done5000263

prune57.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:
39.0ms
(* x (/ y (+ y 1.0)))
11.0ms
(/ y (+ y 1.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (/ y (+ y 1.0)))
44.0ms
(/ y (+ y 1.0))

simplify2.2s

Counts
80 → 80
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0125825
1300773
2846699
32208691
done5000687

prune193.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
8.2b
(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
16.9b
(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×times-frac
17×add-exp-log add-cbrt-cube
15×associate-*l* distribute-lft-out
12×unpow-prod-down cube-prod
10×add-sqr-sqrt
9×associate-/r*
8×add-cube-cbrt add-log-exp
5×pow1 flip3-+ prod-exp cbrt-unprod flip-+
4×cbrt-undiv div-exp associate-/r/
3×expm1-log1p-u associate-+r+ associate-*r* sum-cubes log1p-expm1-u
2×frac-times associate-*r/ sum-log div-inv
1×+-commutative distribute-rgt-in associate-+r- sub-neg fma-def frac-2neg distribute-lft-in diff-log prod-diff pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 99
Calls
3 calls:
26.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
46.0ms
(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
256.0ms
(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series268.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
88.0ms
(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
152.0ms
(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify2.1s

Counts
108 → 108
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01652241
15511907
224801635
done50001633

prune431.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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

sample563.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid