Details

Time bar (total: 38.7s)

sample56.0ms

Algorithm
intervals
Results
26.0ms466×body80valid

simplify438.0ms

Counts
1 → 1
Iterations
IterNodes
done45
545
442
335
223
113
07

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* (* y y) 3))
0.2b
(* (* y y) 3)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
17.0ms
(+ (* x x) (* (* y y) 3))
51.0ms
(* (* y y) 3)

series255.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(+ (* x x) (* (* y y) 3))
159.0ms
(* (* y y) 3)

simplify10.4s

Counts
36 → 36
Iterations
IterNodes
done5000
32777
2675
1181
060

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y (* y 3)))
0.1b
(* y (* y 3))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
19.0ms
(+ (* x x) (* y (* y 3)))
36.0ms
(* y (* y 3))

series128.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x x) (* y (* y 3)))
69.0ms
(* y (* y 3))

simplify10.1s

Counts
35 → 35
Iterations
IterNodes
done5007
33683
2665
1167
056

prune234.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(+ (+ (* x x) (* y y)) (* y y))
0.1b
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
17.0ms
(+ (* x x) (* y y))
64.0ms
(+ (+ (* x x) (* y y)) (* y y))
251.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series470.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (* x x) (* y y))
344.0ms
(+ (+ (* x x) (* y y)) (* y y))
68.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.7s

Counts
47 → 47
Iterations
IterNodes
done5004
21029
1237
070

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (* y 3))
0.4b
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
17.7b
(sqrt (* y (* y 3)))
17.7b
(sqrt (* y (* y 3)))

rewrite501.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
35.0ms
(* y (* y 3))
411.0ms
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
22.0ms
(sqrt (* y (* y 3)))
22.0ms
(sqrt (* y (* y 3)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* y (* y 3))
152.0ms
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
129.0ms
(sqrt (* y (* y 3)))
76.0ms
(sqrt (* y (* y 3)))

simplify4.1s

Counts
120 → 120
Iterations
IterNodes
done5005
32127
2547
1203
079

prune800.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes749.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done10
110
07

end4.0ms

sample6.0s

Algorithm
intervals
Results
5.5s14262×body80valid