Details

Time bar (total: 16.4s)

sample40.0ms

Algorithm
intervals
Results
24.0ms345×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5005
51348
4482
3167
263
121
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-cbrt-cube add-exp-log add-cube-cbrt
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 div-exp associate-*l/ associate-*r/
2×expm1-log1p-u sub-neg insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 87
Calls
2 calls:
50.0ms
(* (- 1.0 x) (- 3.0 x))
63.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series87.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 x) (- 3.0 x))
58.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.0s

Counts
93 → 93
Iterations
IterNodes
done5002
22812
1542
0190

prune329.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-cbrt-cube associate-*r* associate-*l* add-exp-log
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv associate-/r* div-exp
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-- div-sub flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 147
Calls
3 calls:
16.0ms
(/ (- 1.0 x) y)
16.0ms
(/ (- 3.0 x) 3.0)
66.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series186.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ (- 1.0 x) y)
59.0ms
(/ (- 3.0 x) 3.0)
55.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.9s

Counts
156 → 156
Iterations
IterNodes
done5000
21802
1591
0211

prune627.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
167×add-sqr-sqrt
134×*-un-lft-identity
90×add-cube-cbrt
61×cbrt-prod
58×associate-*r*
52×add-exp-log
35×add-cbrt-cube
22×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
19×associate-*l* associate-/l*
18×div-inv
12×prod-exp cbrt-unprod
10×associate-/r* unswap-sqr
6×pow1
5×associate-/l/
4×expm1-log1p-u div-sub insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×flip3-- flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 280
Calls
4 calls:
17.0ms
(/ (- 1.0 x) y)
23.0ms
(/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0)))
30.0ms
(/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
115.0ms
(* (/ (- 1.0 x) y) (/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 1.0 x) y)
206.0ms
(/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0)))
194.0ms
(/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
175.0ms
(* (/ (- 1.0 x) y) (/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))

simplify2.9s

Counts
292 → 292
Iterations
IterNodes
done5004
24208
11147
0369

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-cbrt-cube add-exp-log
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×expm1-log1p-u flip3-- div-sub prod-exp cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr associate-/l/
2×frac-times clear-num frac-2neg associate-*l/
1×pow-prod-down associate-*r/ *-commutative
Counts
3 → 231
Calls
3 calls:
24.0ms
(/ (- 3.0 x) 3.0)
20.0ms
(/ (/ (- 3.0 x) 3.0) y)
89.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series240.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (- 3.0 x) 3.0)
79.0ms
(/ (/ (- 3.0 x) 3.0) y)
86.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.9s

Counts
240 → 240
Iterations
IterNodes
done5045
22739
1847
0320

prune952.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample935.0ms

Algorithm
intervals
Results
717.0ms10672×body80valid