Details

Time bar (total: 4.6s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163
done163

prune2.0ms

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 y) (+ x y))

rewrite24.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
23.0ms
(/ (- x y) (+ x y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (- x y) (+ x y))

simplify55.0ms

Counts
51 → 51
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0192297
1547283
21899283
35001280
done5001280

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
11.0ms
(/ y (+ x y))
10.0ms
(/ x (+ x y))
94.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (+ x y))
43.0ms
(/ x (+ x y))
86.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify135.0ms

Counts
451 → 451
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
092710910
126007864
250016854
done50016854

prune474.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) y)
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
0.5b
(/ 1 (/ (+ x y) y))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
2301×times-frac
1945×*-un-lft-identity
1274×add-sqr-sqrt
1241×add-cube-cbrt
954×prod-diff
345×distribute-lft-out
134×div-inv
129×associate-/r/
56×flip3-+ flip-+
23×associate-/r*
19×add-exp-log
18×fma-neg
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 1161
Calls
4 calls:
17.0ms
(/ (+ x y) y)
10.0ms
(/ x (+ x y))
138.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
15.0ms
(/ 1 (/ (+ x y) y))

series199.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (+ x y) y)
42.0ms
(/ x (+ x y))
83.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
52.0ms
(/ 1 (/ (+ x y) y))

simplify303.0ms

Counts
1173 → 1173
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0240041504
1500128938
done500128938

prune969.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (/ (+ x y) y))
8.6b
(cbrt (/ (+ x y) y))
8.6b
(cbrt (/ (+ x y) y))
8.6b
(cbrt (/ (+ x y) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
60×*-un-lft-identity
48×times-frac
36×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
4 → 108
Calls
4 calls:
5.0ms
(cbrt (/ (+ x y) y))
5.0ms
(cbrt (/ (+ x y) y))
5.0ms
(cbrt (/ (+ x y) y))
5.0ms
(cbrt (/ (+ x y) y))

series731.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (/ (+ x y) y))
178.0ms
(cbrt (/ (+ x y) y))
183.0ms
(cbrt (/ (+ x y) y))
184.0ms
(cbrt (/ (+ x y) y))

simplify61.0ms

Counts
120 → 120
Iterations

Useful iterations: 4 (52.0ms)

IterNodesCost
0109808
1209780
2536772
31494748
45001728
done5001728

prune450.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116
done116

end0.0ms

sample300.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid