Details

Time bar (total: 21.0s)

sample99.0ms

Algorithm
intervals
Results
42.0ms266×body80nan
35.0ms256×body80valid

simplify1.3s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
0.6b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

rewrite231.0ms

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:
15.0ms
(* 5 (* v v))
6.0ms
(* PI t)
34.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
174.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

series1.0s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 5 (* v v))
37.0ms
(* PI t)
295.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
667.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

simplify1.4s

Counts
110 → 110
Iterations
IterNodes
done2000
22000
1708
0233

prune729.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* PI (sqrt 2)) t)
0.3b
(/ (/ 1 t) (* PI (sqrt 2)))
4.3b
(* (/ 53/8 t) (/ (* (* v v) (* v v)) (* PI (sqrt 2))))
7.9b
(/ (* 5/2 (* v v)) (* (* PI (sqrt 2)) t))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
184×add-exp-log
174×add-cbrt-cube
89×prod-exp
87×cbrt-unprod
52×div-exp
46×cbrt-undiv
43×times-frac
32×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
14×associate-*l* associate-/l*
11×pow1
8×associate-*r*
6×div-inv
4×pow-prod-down insert-posit16 add-log-exp
2×rec-exp clear-num associate-/r* frac-2neg 1-exp *-commutative unswap-sqr
1×frac-times associate-*l/ associate-*r/ associate-/l/
Counts
4 → 179
Calls
4 calls:
36.0ms
(* (* PI (sqrt 2)) t)
21.0ms
(/ (/ 1 t) (* PI (sqrt 2)))
108.0ms
(* (/ 53/8 t) (/ (* (* v v) (* v v)) (* PI (sqrt 2))))
40.0ms
(/ (* 5/2 (* v v)) (* (* PI (sqrt 2)) t))

series738.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (* PI (sqrt 2)) t)
130.0ms
(/ (/ 1 t) (* PI (sqrt 2)))
250.0ms
(* (/ 53/8 t) (/ (* (* v v) (* v v)) (* PI (sqrt 2))))
221.0ms
(/ (* 5/2 (* v v)) (* (* PI (sqrt 2)) t))

simplify1.1s

Counts
191 → 191
Iterations
IterNodes
done2032
22032
11076
0333

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1 PI) (/ (/ 1 t) (sqrt 2)))
0.5b
(/ (/ 1 t) (sqrt 2))
4.3b
(* (/ 53/8 t) (/ (* (* v v) (* v v)) (* PI (sqrt 2))))
7.9b
(/ (* 5/2 (* v v)) (* (* PI (sqrt 2)) t))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
243×add-sqr-sqrt
231×add-exp-log
183×add-cbrt-cube
178×*-un-lft-identity
165×add-cube-cbrt
102×prod-exp
90×sqrt-prod
88×cbrt-unprod
87×associate-*r*
80×div-exp
52×cbrt-undiv
26×associate-*l*
23×unswap-sqr
19×div-inv
14×associate-/l*
10×rec-exp 1-exp
8×pow1
7×associate-/r*
4×insert-posit16 add-log-exp
2×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
1×associate-/l/
Counts
4 → 379
Calls
4 calls:
39.0ms
(* (/ 1 PI) (/ (/ 1 t) (sqrt 2)))
15.0ms
(/ (/ 1 t) (sqrt 2))
84.0ms
(* (/ 53/8 t) (/ (* (* v v) (* v v)) (* PI (sqrt 2))))
68.0ms
(/ (* 5/2 (* v v)) (* (* PI (sqrt 2)) t))

series660.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (/ 1 PI) (/ (/ 1 t) (sqrt 2)))
98.0ms
(/ (/ 1 t) (sqrt 2))
256.0ms
(* (/ 53/8 t) (/ (* (* v v) (* v v)) (* PI (sqrt 2))))
195.0ms
(/ (* 5/2 (* v v)) (* (* PI (sqrt 2)) t))

simplify1.6s

Counts
391 → 391
Iterations
IterNodes
done2016
22016
11756
0550

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 5)
0.3b
(* PI t)
0.4b
(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* (- 1 (* (* v v) 3)) 2)))
0.5b
(/ (- 1 (* (* v v) 5)) (* PI t))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
25×add-cbrt-cube add-exp-log
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*r* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*l* pow-prod-down insert-posit16 add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg flip3-- sqrt-div associate-*l/ associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 124
Calls
4 calls:
14.0ms
(* (* v v) 5)
5.0ms
(* PI t)
21.0ms
(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* (- 1 (* (* v v) 3)) 2)))
28.0ms
(/ (- 1 (* (* v v) 5)) (* PI t))

series762.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* v v) 5)
34.0ms
(* PI t)
582.0ms
(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* (- 1 (* (* v v) 3)) 2)))
104.0ms
(/ (- 1 (* (* v v) 5)) (* PI t))

simplify1.4s

Counts
136 → 136
Iterations
IterNodes
done2002
22002
1707
0263

prune931.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.1s8000×body80valid
2.0s8011×body80nan