Details

Time bar (total: 15.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
83929
71054
6315
5117
455
341
228
117
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-cbrt-cube add-exp-log
2×flip3-- associate-/r/ flip-- associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
37.0ms
(/ (- x y) (- 2.0 (+ x y)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify928.0ms

Counts
63 → 63
Iterations
IterNodes
done5000
21062
1289
0114

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
0.0b
(/ (- x y) (- 2.0 (+ x y)))
2.1b
(log1p (/ (- x y) (- 2.0 (+ x y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
42×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
16×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×add-cbrt-cube add-exp-log associate-/l*
4×expm1-log1p-u
3×pow1 log1p-expm1-u add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg div-sub div-exp log1p-expm1 div-inv expm1-udef
Counts
3 → 82
Calls
3 calls:
0.0ms
(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
37.0ms
(/ (- x y) (- 2.0 (+ x y)))
1.0ms
(log1p (/ (- x y) (- 2.0 (+ x y))))

series355.0ms

Counts
3 → 9
Calls
3 calls:
180.0ms
(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
50.0ms
(/ (- x y) (- 2.0 (+ x y)))
124.0ms
(log1p (/ (- x y) (- 2.0 (+ x y))))

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done5002
21513
1447
0177

prune472.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
651×*-un-lft-identity
372×cbrt-prod
324×times-frac
318×add-sqr-sqrt
212×distribute-lft-out--
108×add-cube-cbrt
93×swap-sqr difference-of-squares
67×distribute-lft-out
39×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- div-inv flip--
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 344
Calls
4 calls:
237.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
23.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
23.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
27.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series756.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
202.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
192.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
229.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify1.7s

Counts
356 → 356
Iterations
IterNodes
done5001
22020
1544
0271

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- (- 2.0 x) y))
0.0b
(* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y)))
0.0b
(* (/ (- x y) (- (- 2.0 x) y)) (* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y))))
5.8b
(cbrt (* (/ (- x y) (- (- 2.0 x) y)) (* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y)))))

rewrite893.0ms

Algorithm
rewrite-expression-head
Rules
606×*-un-lft-identity
293×times-frac
276×add-sqr-sqrt
262×distribute-lft-out--
93×add-cube-cbrt
90×swap-sqr
84×difference-of-squares
72×associate-*l*
59×add-cbrt-cube add-exp-log
37×associate-*r*
25×pow1
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*r/
7×cbrt-div flip3-- associate-*l/ flip--
6×associate-/r* pow-prod-up div-inv unswap-sqr
5×associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×pow2 pow-plus cube-unmult pow-sqr *-commutative associate-/l/
1×cbrt-prod clear-num frac-2neg pow1/3 div-sub rem-cbrt-cube
Counts
4 → 354
Calls
4 calls:
76.0ms
(/ (- x y) (- (- 2.0 x) y))
275.0ms
(* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y)))
309.0ms
(* (/ (- x y) (- (- 2.0 x) y)) (* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y))))
204.0ms
(cbrt (* (/ (- x y) (- (- 2.0 x) y)) (* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y)))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (- x y) (- (- 2.0 x) y))
104.0ms
(* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y)))
186.0ms
(* (/ (- x y) (- (- 2.0 x) y)) (* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y))))
78.0ms
(cbrt (* (/ (- x y) (- (- 2.0 x) y)) (* (/ (- x y) (- (- 2.0 x) y)) (/ (- x y) (- (- 2.0 x) y)))))

simplify1.4s

Counts
366 → 366
Iterations
IterNodes
done5000
11169
0324

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample584.0ms

Algorithm
intervals
Results
390.0ms7997×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid