Details

Time bar (total: 5.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify18.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
23.0ms
(/ (- x y) (+ x y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (- x y) (+ x y))

simplify641.0ms

Counts
49 → 49

prune85.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
21.0ms
(/ x (+ x y))
19.0ms
(/ y (+ x y))
104.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x y))
46.0ms
(/ y (+ x y))
91.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify652.0ms

Counts
103 → 103

prune270.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
3.4b
(log (exp (/ y (+ x y))))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
3×flip3-+ flip-+ div-inv associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 115
Calls
4 calls:
13.0ms
(/ x (+ x y))
12.0ms
(/ y (+ x y))
143.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
40.0ms
(log (exp (/ y (+ x y))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (+ x y))
51.0ms
(/ y (+ x y))
114.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
49.0ms
(log (exp (/ y (+ x y))))

simplify759.0ms

Counts
127 → 127

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b
(pow (/ (- x y) (+ x y)) 3)
0.0b
(/ (- x y) (+ x y))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv associate-/l*
4×pow1 associate-/r*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
3 → 186
Calls
3 calls:
26.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
21.0ms
(pow (/ (- x y) (+ x y)) 3)
25.0ms
(/ (- x y) (+ x y))

series287.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
91.0ms
(pow (/ (- x y) (+ x y)) 3)
95.0ms
(/ (- x y) (+ x y))

simplify713.0ms

Counts
195 → 195

prune341.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

19.4% (0.0b remaining)

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

bsearch0.0ms

simplify24.0ms

end0.0ms

sample554.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid