Details

Time bar (total: 11.0s)

sample18.0ms

Algorithm
intervals
Results
8.0ms344×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317511
446311
5115611
6415411
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 85
Calls
2 calls:
20.0ms
(* (- 1.0 x) (- 3.0 x))
16.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
48.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.0s

Counts
91 → 91
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
01881602
15031390
226801139
done50001139

prune179.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 3.0 (- 3.0 x))
0.1b
(* y (/ 3.0 (- 3.0 x)))
0.1b
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×*-un-lft-identity
36×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1 associate-/r/
4×prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
6.0ms
(/ 3.0 (- 3.0 x))
17.0ms
(* y (/ 3.0 (- 3.0 x)))
14.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series119.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ 3.0 (- 3.0 x))
44.0ms
(* y (/ 3.0 (- 3.0 x)))
47.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify856.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
02081511
15291437
223861277
done50001277

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 3.0 (- 3.0 x))
0.0b
(/ (- 1.0 x) y)
0.1b
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
1059×times-frac
669×add-sqr-sqrt *-un-lft-identity
401×add-cube-cbrt
134×distribute-lft-out-- difference-of-squares
45×div-inv
43×associate-/r/
29×associate-/r*
27×associate-/l*
22×flip3-- flip--
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
3 → 541
Calls
3 calls:
6.0ms
(/ 3.0 (- 3.0 x))
9.0ms
(/ (- 1.0 x) y)
26.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ 3.0 (- 3.0 x))
35.0ms
(/ (- 1.0 x) y)
55.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

simplify697.0ms

Counts
550 → 550
Iterations

Useful iterations: done (671.0ms)

IterNodesCost
076113442
1226312611
done500112609

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 3.0 (- 3.0 x))
0.0b
(- (/ 1.0 y) (/ x y))
0.1b
(/ (- (/ 1.0 y) (/ x y)) (/ 3.0 (- 3.0 x)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
935×times-frac
749×add-sqr-sqrt
657×*-un-lft-identity
387×add-cube-cbrt
169×prod-diff
135×distribute-lft-out-- difference-of-squares
88×div-inv
29×associate-/r/
26×associate-/r*
23×distribute-rgt-out--
16×flip3-- flip--
15×associate-/l*
13×fma-neg
10×add-exp-log add-cbrt-cube
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num frac-sub sub-div
1×sub-neg diff-log div-sub
Counts
3 → 553
Calls
3 calls:
6.0ms
(/ 3.0 (- 3.0 x))
25.0ms
(- (/ 1.0 y) (/ x y))
83.0ms
(/ (- (/ 1.0 y) (/ x y)) (/ 3.0 (- 3.0 x)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ 3.0 (- 3.0 x))
30.0ms
(- (/ 1.0 y) (/ x y))
64.0ms
(/ (- (/ 1.0 y) (/ x y)) (/ 3.0 (- 3.0 x)))

simplify751.0ms

Counts
562 → 562
Iterations

Useful iterations: done (726.0ms)

IterNodesCost
081917053
1232415605
done500015564

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample445.0ms

Algorithm
intervals
Results
263.0ms10636×body80valid