Details

Time bar (total: 12.9s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
28.0ms
(/ x (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ x (+ x y))

simplify1.5s

Counts
38 → 38
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
061336
1131317
2433299
32441299
done5001299

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.3b
(/ 1 (/ (+ x y) x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 125
Calls
2 calls:
37.0ms
(/ (+ x y) x)
30.0ms
(/ 1 (/ (+ x y) x))

series104.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (+ x y) x)
64.0ms
(/ 1 (/ (+ x y) x))

simplify1.1s

Counts
131 → 131
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01601662
14071374
218071318
done50001179

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.1b
(/ (/ 1 (+ x y)) (/ 1 x))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
348×*-un-lft-identity
256×add-sqr-sqrt add-cube-cbrt
46×add-exp-log distribute-lft-out
35×div-inv
34×div-exp
31×associate-/r/
21×associate-/l*
17×associate-/r*
16×add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 338
Calls
2 calls:
22.0ms
(/ 1 (+ x y))
31.0ms
(/ (/ 1 (+ x y)) (/ 1 x))

series112.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 1 (+ x y))
52.0ms
(/ (/ 1 (+ x y)) (/ 1 x))

simplify1.1s

Counts
344 → 344
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04486946
116425039
done50014685

prune349.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 (sqrt (/ (+ x y) x))) (sqrt (/ (+ x y) x)))
0.1b
(/ 1 (sqrt (/ (+ x y) x)))
1.2b
(sqrt (/ (+ x y) x))
1.2b
(sqrt (/ (+ x y) x))

rewrite377.0ms

Algorithm
rewrite-expression-head
Rules
3925×times-frac
2357×*-un-lft-identity
2064×sqrt-prod
1589×add-sqr-sqrt
1583×add-cube-cbrt
387×distribute-lft-out
151×div-inv
65×associate-/l*
38×associate-/r*
24×sqrt-div
22×associate-/r/
17×add-exp-log
15×pow1
11×add-cbrt-cube
8×pow-flip div-exp
7×sqrt-pow1 pow1/2
6×pow-div
4×cbrt-undiv expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num inv-pow
1×associate-/l/
Counts
4 → 1445
Calls
4 calls:
119.0ms
(/ (/ 1 (sqrt (/ (+ x y) x))) (sqrt (/ (+ x y) x)))
18.0ms
(/ 1 (sqrt (/ (+ x y) x)))
10.0ms
(sqrt (/ (+ x y) x))
11.0ms
(sqrt (/ (+ x y) x))

series619.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (/ 1 (sqrt (/ (+ x y) x))) (sqrt (/ (+ x y) x)))
89.0ms
(/ 1 (sqrt (/ (+ x y) x)))
377.0ms
(sqrt (/ (+ x y) x))
97.0ms
(sqrt (/ (+ x y) x))

simplify4.4s

Counts
1457 → 1457
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0150148153
1369942073
done500038504

prune2.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes52.0ms

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
045
155
done55

end0.0ms

sample527.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid