Details

Time bar (total: 21.0s)

sample135.0ms

Algorithm
intervals
Results
55.0ms256×body80valid
52.0ms250×body80nan

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2048
42048
3827
2162
146
019

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5 (* v v))
0.3b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity add-cube-cbrt
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×frac-times cbrt-undiv div-exp insert-posit16 add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 98
Calls
4 calls:
14.0ms
(* 5 (* v v))
126.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
10.0ms
(* PI t)
55.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 5 (* v v))
558.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
45.0ms
(* PI t)
293.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.2s

Counts
110 → 110
Iterations
IterNodes
done2002
22002
1712
0233

prune669.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 5)
0.2b
(/ (- 1 (* (* v v) 5)) (* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))))
0.3b
(* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))
0.4b
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube add-exp-log
16×pow1
13×add-sqr-sqrt
10×*-un-lft-identity prod-exp associate-*r/ add-cube-cbrt cbrt-unprod
8×associate-*r*
7×associate-*l* pow-prod-down
6×sqrt-div associate-*l/
4×flip3-- insert-posit16 flip-- add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×associate-/r/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 92
Calls
4 calls:
29.0ms
(* (* v v) 5)
83.0ms
(/ (- 1 (* (* v v) 5)) (* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))))
83.0ms
(* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))
40.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))

series992.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* v v) 5)
444.0ms
(/ (- 1 (* (* v v) 5)) (* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))))
285.0ms
(* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))
227.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))

simplify1.5s

Counts
104 → 104
Iterations
IterNodes
done2001
22001
1522
0190

prune894.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 3)
0.2b
(* (* v v) 5)
0.4b
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))
0.4b
(/ (/ (- 1 (* (* v v) 5)) PI) (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×associate-/l*
10×associate-*r*
9×prod-exp cbrt-unprod
7×pow-prod-down
6×cbrt-undiv div-exp
5×associate-*l*
4×sqrt-div associate-*l/ associate-*r/ insert-posit16 add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- div-sub associate-/r/ flip--
1×clear-num associate-/r* frac-2neg sqrt-prod associate-/l/
Counts
4 → 112
Calls
4 calls:
27.0ms
(* (* v v) 3)
14.0ms
(* (* v v) 5)
29.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))
47.0ms
(/ (/ (- 1 (* (* v v) 5)) PI) (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))

series766.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (* v v) 3)
44.0ms
(* (* v v) 5)
238.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))
424.0ms
(/ (/ (- 1 (* (* v v) 5)) PI) (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))

simplify1.3s

Counts
124 → 124
Iterations
IterNodes
done2001
22001
1623
0242

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize129.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 3)
0.2b
(* (* v v) 5)
0.2b
(* (* v v) 5)
0.3b
(* (/ (/ (sqrt (- 1 (* (* v v) 5))) 1) t) (/ (/ (sqrt (- 1 (* (* v v) 5))) PI) (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
346×times-frac
253×add-sqr-sqrt
152×*-un-lft-identity
144×add-cube-cbrt
103×associate-*r*
99×sqrt-prod
73×associate-*l*
67×add-exp-log
55×add-cbrt-cube
27×div-exp unswap-sqr
21×pow1 prod-exp
18×cbrt-undiv cbrt-unprod
10×pow-prod-down
9×div-inv
4×*-commutative insert-posit16 add-log-exp
3×1-exp associate-*l/
2×sqrt-div associate-/r/
1×frac-times flip3-- associate-*r/ flip--
Counts
4 → 282
Calls
4 calls:
17.0ms
(* (* v v) 3)
15.0ms
(* (* v v) 5)
25.0ms
(* (* v v) 5)
104.0ms
(* (/ (/ (sqrt (- 1 (* (* v v) 5))) 1) t) (/ (/ (sqrt (- 1 (* (* v v) 5))) PI) (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))

series507.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* v v) 3)
32.0ms
(* (* v v) 5)
38.0ms
(* (* v v) 5)
400.0ms
(* (/ (/ (sqrt (- 1 (* (* v v) 5))) 1) t) (/ (/ (sqrt (- 1 (* (* v v) 5))) PI) (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))

simplify1.5s

Counts
294 → 294
Iterations
IterNodes
done2003
22003
11615
0494

prune2.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done38
138
027

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.0s8013×body80nan
1.7s8000×body80valid