Details

Time bar (total: 3.8s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

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) (- 1.0 y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
54.0ms
(/ (- x y) (- 1.0 y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (- x y) (- 1.0 y))

simplify96.0ms

Counts
55 → 55

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 1.0 y))
0.0b
(/ x (- 1.0 y))
0.0b
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
12.0ms
(/ y (- 1.0 y))
22.0ms
(/ x (- 1.0 y))
119.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (- 1.0 y))
59.0ms
(/ x (- 1.0 y))
77.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

simplify71.0ms

Counts
112 → 112

prune274.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 y) (- x y))
0.1b
(/ 1 (/ (- 1.0 y) (- x y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
38.0ms
(/ (- 1.0 y) (- x y))
29.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- 1.0 y) (- x y))
49.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

simplify67.0ms

Counts
206 → 206

prune538.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
63.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))

series580.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
133.0ms
(cbrt (- 1.0 y))
141.0ms
(cbrt (- 1.0 y))
149.0ms
(cbrt (- 1.0 y))

simplify94.0ms

Counts
113 → 113

prune486.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

100.8% (-0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify61.0ms

end0.0ms

sample591.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid