Details

Time bar (total: 27.6s)

sample98.0ms

Algorithm
intervals
Results
41.0ms250×body80nan
34.0ms256×body80valid

simplify1.1s

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

localize43.0ms

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))))))

rewrite242.0ms

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:
13.0ms
(* 5 (* v v))
173.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
11.0ms
(* PI t)
43.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 5 (* v v))
594.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
37.0ms
(* PI t)
260.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.1s

Counts
110 → 110
Iterations
IterNodes
done2002
22002
1712
0233

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

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)))

rewrite190.0ms

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:
28.0ms
(* (* v v) 5)
82.0ms
(/ (- 1 (* (* v v) 5)) (* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))))
57.0ms
(* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))
20.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))

series1.1s

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (* v v) 5)
419.0ms
(/ (- 1 (* (* v v) 5)) (* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))))
341.0ms
(* PI (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))
264.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))

simplify1.5s

Counts
104 → 104
Iterations
IterNodes
done2001
22001
1522
0190

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

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))))

rewrite110.0ms

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:
28.0ms
(* (* v v) 3)
15.0ms
(* (* v v) 5)
24.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))
40.0ms
(/ (/ (- 1 (* (* v v) 5)) PI) (* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* v v) 3)
27.0ms
(* (* v v) 5)
282.0ms
(* t (sqrt (* (- 1 (* (* (* (* v v) 3) (* (* v v) 3)) (* (* v v) 3))) 2)))
474.0ms
(/ (/ (- 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

prune2.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize96.0ms

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))))

rewrite158.0ms

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:
22.0ms
(* (* v v) 3)
14.0ms
(* (* v v) 5)
22.0ms
(* (* v v) 5)
94.0ms
(* (/ (/ (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))))

series956.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* v v) 3)
48.0ms
(* (* v v) 5)
50.0ms
(* (* v v) 5)
826.0ms
(* (/ (/ (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

prune6.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done38
138
027

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.1s8000×body80valid
1.5s8013×body80nan