Details

Time bar (total: 5.7s)

sample32.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize12.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (* x y) (+ y 1.0))

rewrite31.0ms

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:
30.0ms
(/ (* x y) (+ y 1.0))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (* x y) (+ y 1.0))

simplify1.0s

Counts
30 → 30
Iterations

Useful iterations: done (1.0s)

IterNodesCost
074335
1211320
21161278
done5001274

prune99.0ms

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

rewrite80.0ms

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:
22.0ms
(/ y (+ y 1.0))
52.0ms
(* x (/ y (+ y 1.0)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ y (+ y 1.0))
81.0ms
(* x (/ y (+ y 1.0)))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0125825
1331777
21549707
done5001703

prune236.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)))
0.1b
(* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0))
15.2b
(/ y (- (* y y) (* 1.0 1.0)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
25×times-frac
21×associate-*l*
19×add-exp-log add-cbrt-cube
10×pow1
9×associate-*r/
8×difference-of-squares
7×prod-exp cbrt-unprod
6×sub-neg flip3-- associate-*r* flip--
4×frac-times pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
2×associate-*l/ *-commutative div-inv unswap-sqr
1×frac-2neg clear-num distribute-lft-out--
Counts
3 → 173
Calls
3 calls:
96.0ms
(* x (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)))
102.0ms
(* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0))
29.0ms
(/ y (- (* y y) (* 1.0 1.0)))

series350.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(* x (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)))
116.0ms
(* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0))
105.0ms
(/ y (- (* y y) (* 1.0 1.0)))

simplify766.0ms

Counts
182 → 182
Iterations

Useful iterations: done (755.0ms)

IterNodesCost
03084772
19494254
done50013726

prune468.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample695.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid