Details

Time bar (total: 1.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite12.0ms

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:
11.0ms
(/ x (+ x y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ x (+ x y))

simplify72.0ms

Counts
36 → 36

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))

rewrite46.0ms

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:
12.0ms
(/ 1 (+ x y))
28.0ms
(* x (/ 1 (+ x y)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ 1 (+ x y))
42.0ms
(* x (/ 1 (+ x y)))

simplify52.0ms

Counts
84 → 84

prune101.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.2b
(/ 1 (/ (+ x y) x))

rewrite39.0ms

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:
18.0ms
(/ (+ x y) x)
16.0ms
(/ 1 (/ (+ x y) x))

series70.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (+ x y) x)
47.0ms
(/ 1 (/ (+ x y) x))

simplify35.0ms

Counts
127 → 127

prune138.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
19×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
15×*-un-lft-identity
14×times-frac
13×associate-*r*
12×add-cube-cbrt
9×rec-exp 1-exp
7×pow1
6×associate-/r/
5×cbrt-undiv
4×frac-times flip3-+ associate-*l* associate-*l/ cbrt-unprod flip-+
3×associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv div-inv add-log-exp
1×frac-2neg clear-num associate-/r* *-commutative distribute-lft-out inv-pow
Counts
2 → 85
Calls
2 calls:
32.0ms
(* (+ x y) (/ 1 x))
27.0ms
(/ 1 (* (+ x y) (/ 1 x)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (+ x y) (/ 1 x))
44.0ms
(/ 1 (* (+ x y) (/ 1 x)))

simplify40.0ms

Counts
91 → 91

prune113.0ms

Pruning

4 alts after pruning (0 fresh and 4 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

simplify1.0ms

end0.0ms

sample373.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid