Details

Time bar (total: 7.9s)

sample40.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms248×body80nan

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114
done500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
127.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
17.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
39.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
555.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
25.0ms
(* 3.0 (* v v))
25.0ms
(* PI t)
186.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify103.0ms

Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07731205
143291050
250011050
done50011050

prune341.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 104
Calls
4 calls:
222.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
18.0ms
(* 3.0 (* v v))
68.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
25.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series915.0ms

Counts
4 → 12
Calls
4 calls:
557.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
25.0ms
(* 3.0 (* v v))
185.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
148.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify101.0ms

Counts
116 → 116
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07981356
142481195
250021195
done50021195

prune361.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.3b
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.3b
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
108×associate-*r/
66×cbrt-div sqrt-div
41×pow1 add-exp-log
33×flip3-- flip--
32×frac-times
28×add-cbrt-cube
25×pow-prod-down prod-exp cbrt-unprod
16×associate-*l/
12×add-sqr-sqrt associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×cbrt-prod expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×unswap-sqr
1×sqrt-prod
Counts
4 → 132
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
189.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
70.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

series634.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
192.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
397.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

simplify88.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06982773
128742348
250012228
done50012228

prune468.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.3b
(* (* PI (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.3b
(* PI (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))))

rewrite517.0ms

Algorithm
rewrite-expression-head
Rules
140×associate-*r/
66×cbrt-div sqrt-div
37×pow1 add-exp-log
33×flip3-- flip--
32×frac-times
29×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
16×associate-*l/
11×add-sqr-sqrt
10×associate-*r* associate-*l*
9×add-cube-cbrt *-un-lft-identity
4×cbrt-prod expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×unswap-sqr
1×sqrt-prod
Counts
4 → 129
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
343.0ms
(* (* PI (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
131.0ms
(* PI (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))))

series662.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
197.0ms
(* (* PI (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
415.0ms
(* PI (* t (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))))

simplify90.0ms

Counts
141 → 141
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06812740
125682376
250012237
done50012237

prune466.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes244.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02929
12929
done2929

end0.0ms

sample1.1s

Algorithm
intervals
Results
380.0ms8000×body80valid
345.0ms7897×body80nan