Details

Time bar (total: 18.0s)

sample51.0ms

Algorithm
intervals
Results
19.0ms312×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317911
450811
5124011
6339711
done500111

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
3.9b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite135.0ms

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:
71.0ms
(* (- 1.0 x) (- 3.0 x))
56.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series131.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (- 1.0 x) (- 3.0 x))
80.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.8s

Counts
91 → 91
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01881602
14911390
222331157
done50021133

prune242.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 144
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(/ (- 1.0 x) y)
81.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series163.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- 3.0 x) 3.0)
53.0ms
(/ (- 1.0 x) y)
60.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.6s

Counts
153 → 153
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02081863
15581794
218121623
done50001621

prune563.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b
(/ (* y 3.0) (- 3.0 x))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log associate-/r* add-cbrt-cube
15×associate-/r/
8×flip3-- flip-- div-inv
7×cbrt-undiv div-exp
6×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 122
Calls
2 calls:
73.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
35.0ms
(/ (* y 3.0) (- 3.0 x))

series119.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
48.0ms
(/ (* y 3.0) (- 3.0 x))

simplify1.9s

Counts
128 → 128
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02312286
16312196
223692060
done50002038

prune483.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(/ (- 3.0 x) (cbrt 3.0))
0.2b
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
157×add-sqr-sqrt
130×*-un-lft-identity
78×add-cube-cbrt
61×add-exp-log
43×add-cbrt-cube
36×cbrt-prod
34×associate-*r*
29×associate-/l*
26×distribute-lft-out-- difference-of-squares
25×cbrt-undiv div-exp
23×associate-*l*
16×prod-exp cbrt-unprod
10×associate-/r*
9×unswap-sqr
8×div-inv
6×pow1
5×associate-/l/
4×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×flip3-- flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 259
Calls
4 calls:
19.0ms
(/ (- 1.0 x) y)
21.0ms
(/ (- 3.0 x) (cbrt 3.0))
34.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
115.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series606.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- 1.0 x) y)
127.0ms
(/ (- 3.0 x) (cbrt 3.0))
282.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
143.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify2.5s

Counts
271 → 271
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03404651
19654353
235163798
done50013669

prune992.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample972.0ms

Algorithm
intervals
Results
633.0ms10603×body80valid