Details

Time bar (total: 6.4s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify12.0ms

Counts
1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite23.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
21.0ms
(/ x (+ x y))

series52.0ms

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

simplify1.1s

Counts
36 → 36

prune72.0ms

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
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
18.0ms
(/ 1 (+ x y))
43.0ms
(* x (/ 1 (+ x y)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1 (+ x y))
56.0ms
(* x (/ 1 (+ x y)))

simplify911.0ms

Counts
84 → 84

prune183.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.4b
(/ 1 (/ (+ x y) x))

rewrite61.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
19.0ms
(/ (+ x y) x)
35.0ms
(/ 1 (/ (+ x y) x))

series80.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ x y) x)
50.0ms
(/ 1 (/ (+ x y) x))

simplify648.0ms

Counts
127 → 127

prune279.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) x)
0.1b
(pow (/ (+ x y) x) 3)
0.4b
(/ 1 (cbrt (pow (/ (+ x y) x) 3)))
12.8b
(cbrt (pow (/ (+ x y) x) 3))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
241×*-un-lft-identity
190×cbrt-prod
161×add-sqr-sqrt add-cube-cbrt
96×unpow-prod-down cube-prod
44×associate-/r*
40×distribute-lft-out
14×div-inv
13×add-exp-log
10×add-cbrt-cube
7×associate-/l*
6×pow1 cube-mult unpow3 sqr-pow
4×div-exp add-log-exp
3×cbrt-undiv cube-div pow-unpow
2×cbrt-div pow-flip frac-2neg pow1/3 pow-exp clear-num associate-/l/ rem-cube-cbrt
1×pow-to-exp rec-exp pow-pow flip3-+ 1-exp associate-/r/ rem-cbrt-cube flip-+ inv-pow
Counts
4 → 318
Calls
4 calls:
34.0ms
(/ (+ x y) x)
14.0ms
(pow (/ (+ x y) x) 3)
68.0ms
(/ 1 (cbrt (pow (/ (+ x y) x) 3)))
21.0ms
(cbrt (pow (/ (+ x y) x) 3))

series170.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (+ x y) x)
54.0ms
(pow (/ (+ x y) x) 3)
59.0ms
(/ 1 (cbrt (pow (/ (+ x y) x) 3)))
29.0ms
(cbrt (pow (/ (+ x y) x) 3))

simplify1.2s

Counts
330 → 330

prune489.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample635.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid