Details

Time bar (total: 13.7s)

sample25.0ms

Algorithm
intervals
Results
11.0ms333×body80valid

simplify992.0ms

Counts
1 → 1
Iterations
IterNodes
done5002
51616
4483
3175
265
121
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.9b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in 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 → 63
Calls
2 calls:
45.0ms
(* (- 1.0 x) (- 3.0 x))
22.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 x) (- 3.0 x))
54.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.8s

Counts
69 → 69
Iterations
IterNodes
done5000
22674
1418
0136

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite109.0ms

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×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 → 138
Calls
3 calls:
13.0ms
(/ (- 1.0 x) y)
13.0ms
(/ (- 3.0 x) 3.0)
79.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series149.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- 1.0 x) y)
44.0ms
(/ (- 3.0 x) 3.0)
53.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.5s

Counts
147 → 147
Iterations
IterNodes
done5000
23264
1578
0202

prune600.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×*-un-lft-identity
33×times-frac
22×add-cube-cbrt
19×associate-*l*
11×difference-of-squares
9×add-cbrt-cube add-exp-log
8×associate-*r* distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-/r* flip3-- flip--
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-*r/ cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 89
Calls
2 calls:
13.0ms
(/ (- 1.0 x) y)
68.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- 1.0 x) y)
75.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

simplify2.6s

Counts
95 → 95
Iterations
IterNodes
done5001
22802
1448
0157

prune475.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
0.1b
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
0.1b
(/ (- 3.0 x) (cbrt 3.0))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
190×add-exp-log
122×add-sqr-sqrt
105×times-frac
104×*-un-lft-identity
90×prod-exp
72×add-cbrt-cube
62×div-exp
61×add-cube-cbrt
38×cbrt-unprod
36×cbrt-prod
35×associate-*r*
30×cbrt-undiv
26×associate-*l*
20×distribute-lft-out-- difference-of-squares
12×rec-exp 1-exp
11×pow1
10×associate-/l*
9×associate-/r* unswap-sqr
6×frac-times associate-*r/
5×div-inv
4×pow-prod-down associate-*l/ add-log-exp associate-/l/
2×clear-num frac-2neg flip3-- div-sub *-commutative flip--
Counts
4 → 257
Calls
4 calls:
24.0ms
(/ (- 1.0 x) y)
66.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
190.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
14.0ms
(/ (- 3.0 x) (cbrt 3.0))

series513.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (- 1.0 x) y)
199.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
132.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
138.0ms
(/ (- 3.0 x) (cbrt 3.0))

simplify1.4s

Counts
269 → 269
Iterations
IterNodes
done5001
11155
0348

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes148.0ms

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
done13
113
010

end0.0ms

sample1.0s

Algorithm
intervals
Results
650.0ms10603×body80valid