Details

Time bar (total: 9.3s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-cbrt-cube add-exp-log associate-/l*
associate-/r/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
15.0ms
(/ x (+ x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ x (+ x y))

simplify1.4s

Counts
38 → 38
Iterations
IterNodes
done5019
31481
2412
1131
061

prune173.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.6b
(/ 1 (/ (+ x y) x))

rewrite45.0ms

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
add-cbrt-cube
div-exp
associate-/l*
div-inv
cbrt-undiv
pow1
expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp associate-/l/
flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
2 → 125
Calls
2 calls:
17.0ms
(/ (+ x y) x)
24.0ms
(/ 1 (/ (+ x y) x))

series74.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (+ x y) x)
45.0ms
(/ 1 (/ (+ x y) x))

simplify2.5s

Counts
131 → 131
Iterations
IterNodes
done5014
33922
21170
1399
0160

prune409.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))))
7.6b
(cbrt (/ (+ x y) x))
7.6b
(cbrt (/ (+ x y) x))
7.6b
(cbrt (/ (+ x y) x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod *-un-lft-identity
39×times-frac
30×add-sqr-sqrt add-cube-cbrt
15×add-exp-log
12×pow1
pow1/3 pow-flip distribute-lft-out
cbrt-div add-cbrt-cube
expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
prod-exp associate-/r/ associate-/l*
cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
pow2 frac-times clear-num associate-/r* frac-2neg pow-plus associate-*l/ associate-*r/ cbrt-unprod inv-pow
Counts
4 → 121
Calls
4 calls:
41.0ms
(/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))))
4.0ms
(cbrt (/ (+ x y) x))
4.0ms
(cbrt (/ (+ x y) x))
4.0ms
(cbrt (/ (+ x y) x))

series705.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))))
173.0ms
(cbrt (/ (+ x y) x))
152.0ms
(cbrt (/ (+ x y) x))
191.0ms
(cbrt (/ (+ x y) x))

simplify2.1s

Counts
133 → 133
Iterations
IterNodes
done5004
42386
3892
2368
1217
0124

prune797.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample686.0ms

Algorithm
intervals
Results
540.0ms8000×body80valid