Details

Time bar (total: 18.7s)

sample53.0ms

Algorithm
intervals
Results
36.0ms348×body80valid

simplify1.9s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.2b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite86.0ms

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))
34.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series122.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- 1.0 x) (- 3.0 x))
76.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
done5002
22812
1542
0190

prune294.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite77.0ms

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:
18.0ms
(/ (- 3.0 x) 3.0)
12.0ms
(/ (- 1.0 x) y)
45.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series175.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ (- 3.0 x) 3.0)
44.0ms
(/ (- 1.0 x) y)
75.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.7s

Counts
156 → 156
Iterations
IterNodes
done5001
21827
1591
0211

prune739.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))

rewrite129.0ms

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 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 → 263
Calls
4 calls:
16.0ms
(/ (- 1.0 x) y)
18.0ms
(/ (- 3.0 x) (cbrt 3.0))
24.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
66.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (- 1.0 x) y)
97.0ms
(/ (- 3.0 x) (cbrt 3.0))
258.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
161.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify3.1s

Counts
275 → 275
Iterations
IterNodes
done5000
23635
11039
0344

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) (sqrt (cbrt 3.0)))
0.3b
(* (/ (/ (- 1.0 x) y) (* (sqrt (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0)))) (/ (- 3.0 x) (sqrt (cbrt 3.0))))
0.4b
(/ (/ (- 1.0 x) y) (* (sqrt (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
191×times-frac
170×add-sqr-sqrt
159×*-un-lft-identity
95×add-cube-cbrt
94×add-exp-log
82×add-cbrt-cube
68×sqrt-prod
49×associate-*r*
36×cbrt-undiv div-exp
34×cbrt-prod
32×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
29×associate-/l*
23×associate-*l*
13×associate-/r*
8×div-inv
6×pow1
5×associate-/l/
4×expm1-log1p-u div-sub insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×clear-num frac-2neg
2×flip3-- flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 303
Calls
4 calls:
23.0ms
(/ (- 1.0 x) y)
24.0ms
(/ (- 3.0 x) (sqrt (cbrt 3.0)))
155.0ms
(* (/ (/ (- 1.0 x) y) (* (sqrt (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0)))) (/ (- 3.0 x) (sqrt (cbrt 3.0))))
64.0ms
(/ (/ (- 1.0 x) y) (* (sqrt (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ (- 1.0 x) y)
192.0ms
(/ (- 3.0 x) (sqrt (cbrt 3.0)))
132.0ms
(* (/ (/ (- 1.0 x) y) (* (sqrt (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0)))) (/ (- 3.0 x) (sqrt (cbrt 3.0))))
626.0ms
(/ (/ (- 1.0 x) y) (* (sqrt (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))))

simplify2.5s

Counts
315 → 315
Iterations
IterNodes
done5000
11225
0400

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s10566×body80valid