Details

Time bar (total: 31.3s)

sample59.0ms

Algorithm
intervals
Results
17.0ms279×body80nan
17.0ms256×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
43410
3751
2158
144
019

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite257.0ms

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:
25.0ms
(* 3.0 (* v v))
10.0ms
(* PI t)
160.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
55.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 3.0 (* v v))
28.0ms
(* PI t)
829.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
325.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify3.0s

Counts
106 → 106
Iterations
IterNodes
done5066
23843
1792
0253

prune748.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.6s

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-*l*
9×prod-exp cbrt-unprod
7×pow-prod-down
6×cbrt-undiv div-exp
5×associate-*r*
4×sqrt-div associate-*l/ associate-*r/ 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 → 108
Calls
4 calls:
14.0ms
(* 3.0 (* v v))
19.0ms
(* 3.0 (* v v))
1.2s
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
1.3s
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)

series814.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 3.0 (* v v))
38.0ms
(* 3.0 (* v v))
513.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
213.0ms
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)

simplify2.9s

Counts
120 → 120
Iterations
IterNodes
done5000
22047
1586
0225

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
4×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
14.0ms
(* 3.0 (* v v))
13.0ms
(* 3.0 (* v v))
23.0ms
(* 3.0 (* v v))
19.0ms
(* 3.0 (* v v))

series162.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))
38.0ms
(* 3.0 (* v v))
46.0ms
(* 3.0 (* v v))

simplify2.5s

Counts
88 → 88
Iterations
IterNodes
done5000
31257
2278
188
034

prune760.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
0.4b
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)
4.4b
(log (exp (* 3.0 (* v v))))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
31×times-frac
25×add-sqr-sqrt
23×add-cbrt-cube add-exp-log
22×*-un-lft-identity add-cube-cbrt
13×associate-/l*
12×pow1
7×associate-*l*
6×cbrt-undiv div-exp prod-exp cbrt-unprod
5×add-log-exp
4×sqrt-div associate-*r* pow-prod-down associate-*l/ associate-*r/
3×log-prod log-pow div-inv
2×flip3-- div-sub associate-/r/ *-commutative flip-- unswap-sqr
1×exp-prod clear-num associate-/r* frac-2neg exp-to-pow rem-log-exp sqrt-prod associate-/l/
Counts
4 → 103
Calls
4 calls:
13.0ms
(* 3.0 (* v v))
1.3s
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
1.4s
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)
3.0ms
(log (exp (* 3.0 (* v v))))

series719.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 3.0 (* v v))
470.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
172.0ms
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)
40.0ms
(log (exp (* 3.0 (* v v))))

simplify3.1s

Counts
115 → 115
Iterations
IterNodes
done5006
22125
1621
0242

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done45
145
032

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s8179×body80nan
1.1s8000×body80valid