Details

Time bar (total: 5.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1149
2279
3409
4419
done419

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ (+ x y) (* (* x 2.0) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ clear-num associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
13.0ms
(/ (+ x y) (* (* x 2.0) y))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify1.5s

Counts
32 → 32
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
075426
1225411
2879333
34691333
done5000333

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 0.5 y) (/ 0.5 x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×times-frac
13×fma-def
10×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
3×div-inv add-log-exp
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ frac-add sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 32
Calls
1 calls:
17.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify825.0ms

Counts
35 → 35
Iterations

Useful iterations: done (824.0ms)

IterNodesCost
048243
1124230
2284209
31217209
done5000206

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
7.9b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×associate-/l/
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 81
Calls
2 calls:
9.0ms
(/ (+ x y) (* x 2.0))
12.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series84.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ x y) (* x 2.0))
51.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify485.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
01381163
13481124
212821002
done50001002

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
5.6b
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
17×*-un-lft-identity
15×add-cbrt-cube
13×times-frac
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
10×cbrt-undiv div-exp
7×associate-/l*
6×cbrt-div
5×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 flip-+ div-inv distribute-lft-out
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 88
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
12.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ x y))
126.0ms
(cbrt (+ x y))
127.0ms
(cbrt (+ x y))
140.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

simplify490.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
01561456
14061378
215661136
done50001136

prune294.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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
177
done77

end0.0ms

sample316.0ms

Algorithm
intervals
Results
180.0ms8001×body80valid