Details

Time bar (total: 34.4s)

sample95.0ms

Algorithm
intervals
Results
49.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize215.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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:
44.0ms
(/ (- x y) (+ x y))

series430.0ms

Counts
1 → 3
Calls
1 calls:
430.0ms
(/ (- x y) (+ x y))

simplify3.3s

Counts
49 → 49
Iterations
IterNodes
done5020
32553
2564
1193
078

prune440.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize172.0ms

Local error

Found 3 expressions with local error:

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

rewrite269.0ms

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:
22.0ms
(/ y (+ x y))
21.0ms
(/ x (+ x y))
220.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ y (+ x y))
86.0ms
(/ x (+ x y))
137.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify3.8s

Counts
103 → 103
Iterations
IterNodes
done5012
33813
2903
1287
0130

prune644.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.9b
(log (exp (/ y (+ x y))))

rewrite314.0ms

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:
22.0ms
(/ y (+ x y))
22.0ms
(/ x (+ x y))
220.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
42.0ms
(log (exp (/ y (+ x y))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/ y (+ x y))
105.0ms
(/ x (+ x y))
138.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
72.0ms
(log (exp (/ y (+ x y))))

simplify5.3s

Counts
127 → 127
Iterations
IterNodes
done5027
33869
2914
1309
0166

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 4 expressions with local error:

3.3b
(log (exp (* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))))
6.6b
(cbrt (/ y (+ x y)))
6.6b
(cbrt (/ y (+ x y)))
6.6b
(cbrt (/ y (+ x y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
47×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-out
6×associate-/r/
5×pow1 add-log-exp
4×add-exp-log add-cbrt-cube
3×cbrt-div log-prod flip3-+ pow1/3 log-pow flip-+ div-inv
1×exp-prod exp-to-pow rem-log-exp
Counts
4 → 95
Calls
4 calls:
6.0ms
(log (exp (* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))))
24.0ms
(cbrt (/ y (+ x y)))
11.0ms
(cbrt (/ y (+ x y)))
12.0ms
(cbrt (/ y (+ x y)))

series2.0s

Counts
4 → 12
Calls
4 calls:
281.0ms
(log (exp (* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))))
226.0ms
(cbrt (/ y (+ x y)))
231.0ms
(cbrt (/ y (+ x y)))
1.3s
(cbrt (/ y (+ x y)))

simplify11.0s

Counts
107 → 107
Iterations
IterNodes
done5001
53927
41338
3536
2281
1162
0103

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample1.8s

Algorithm
intervals
Results
824.0ms8000×body80valid