Details

Time bar (total: 33.0s)

sample72.0ms

Algorithm
intervals
Results
22.0ms237×body80nan
21.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
44048
3819
2163
144
019

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite195.0ms

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 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 → 94
Calls
4 calls:
14.0ms
(* 3.0 (* v v))
118.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
6.0ms
(* PI t)
54.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
947.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
40.0ms
(* PI t)
287.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done5000
1810
0253

prune682.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize149.0ms

Local error

Found 4 expressions with local error:

0.2b
(* v (* v 5.0))
0.3b
(* PI t)
0.3b
(/ (- 1.0 (* v (* v 5.0))) (* PI t))
0.4b
(/ (/ (- 1.0 (* v (* v 5.0))) (* PI t)) (* (sqrt (* 2.0 (- (* 1.0 (* 1.0 1.0)) (* (* (* (* 3.0 v) v) (* (* 3.0 v) v)) (* (* 3.0 v) v))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
16×times-frac
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×frac-times associate-*r* pow-prod-down div-inv add-log-exp
3×div-sub associate-/l/
2×clear-num associate-/r* frac-2neg associate-*l/ *-commutative
1×unswap-sqr
Counts
4 → 107
Calls
4 calls:
27.0ms
(* v (* v 5.0))
11.0ms
(* PI t)
28.0ms
(/ (- 1.0 (* v (* v 5.0))) (* PI t))
1.6s
(/ (/ (- 1.0 (* v (* v 5.0))) (* PI t)) (* (sqrt (* 2.0 (- (* 1.0 (* 1.0 1.0)) (* (* (* (* 3.0 v) v) (* (* 3.0 v) v)) (* (* 3.0 v) v))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

series780.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* v (* v 5.0))
24.0ms
(* PI t)
100.0ms
(/ (- 1.0 (* v (* v 5.0))) (* PI t))
625.0ms
(/ (/ (- 1.0 (* v (* v 5.0))) (* PI t)) (* (sqrt (* 2.0 (- (* 1.0 (* 1.0 1.0)) (* (* (* (* 3.0 v) v) (* (* 3.0 v) v)) (* (* 3.0 v) v))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))

simplify3.8s

Counts
119 → 119
Iterations
IterNodes
done5001
24272
1743
0247

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize658.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 v) v)
0.2b
(* (* v 5.0) v)
0.5b
(* (sqrt (* 2.0 (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0)) (* (* (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v))))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))))))) t)
0.5b
(/ (/ (- 1.0 (* (* v 5.0) v)) PI) (* (sqrt (* 2.0 (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0)) (* (* (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v))))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))))))) t))

rewrite5.4s

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×associate-/l*
9×associate-*r* prod-exp cbrt-unprod
7×pow-prod-down
6×cbrt-undiv div-exp associate-*l*
4×sqrt-div associate-*l/ associate-*r/ add-log-exp
3×*-commutative div-inv
2×flip3-- div-sub associate-/r/ flip--
1×clear-num associate-/r* frac-2neg sqrt-prod unswap-sqr associate-/l/
Counts
4 → 106
Calls
4 calls:
15.0ms
(* (* 3.0 v) v)
14.0ms
(* (* v 5.0) v)
2.8s
(* (sqrt (* 2.0 (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0)) (* (* (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v))))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))))))) t)
2.5s
(/ (/ (- 1.0 (* (* v 5.0) v)) PI) (* (sqrt (* 2.0 (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0)) (* (* (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v))))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))))))) t))

series856.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (* 3.0 v) v)
52.0ms
(* (* v 5.0) v)
264.0ms
(* (sqrt (* 2.0 (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0)) (* (* (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v))))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))))))) t)
492.0ms
(/ (/ (- 1.0 (* (* v 5.0) v)) PI) (* (sqrt (* 2.0 (- (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* 1.0 1.0) (* 1.0 1.0)) 1.0)) (* (* (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v))))) (* (* v (* 3.0 v)) (* (* v (* 3.0 v)) (* v (* 3.0 v)))))))) t))

simplify3.2s

Counts
118 → 118
Iterations
IterNodes
done5000
24072
1720
0260

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize275.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 v) v)
0.1b
(* (* 3.0 v) v)
0.1b
(* (* 3.0 v) v)
0.2b
(* (* v 5.0) v)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×associate-*r* pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*l* *-commutative add-log-exp
Counts
4 → 72
Calls
4 calls:
23.0ms
(* (* 3.0 v) v)
16.0ms
(* (* 3.0 v) v)
19.0ms
(* (* 3.0 v) v)
16.0ms
(* (* v 5.0) v)

series168.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* 3.0 v) v)
48.0ms
(* (* 3.0 v) v)
44.0ms
(* (* 3.0 v) v)
30.0ms
(* (* v 5.0) v)

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done5001
21362
1181
063

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify39.0ms

Iterations
IterNodes
done82
382
278
172
050

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s7985×body80nan
1.1s8000×body80valid