Details

Time bar (total: 21.7s)

sample48.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms248×body80nan

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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))))))

rewrite283.0ms

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 frac-times div-exp 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 → 94
Calls
4 calls:
172.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
21.0ms
(* 3.0 (* v v))
14.0ms
(* PI t)
69.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
818.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
27.0ms
(* 3.0 (* v v))
37.0ms
(* PI t)
261.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: 2 (649.0ms)

IterNodesCost
02502389
17282226
235281908
done50021908

prune425.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))))))

rewrite422.0ms

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 frac-times div-exp 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 → 96
Calls
4 calls:
280.0ms
(/ (- 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))
93.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
28.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
743.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
47.0ms
(* 3.0 (* v v))
294.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
236.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.6s

Counts
108 → 108
Iterations

Useful iterations: 2 (676.0ms)

IterNodesCost
02582663
17512474
234692144
done50012144

prune461.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))))))))

rewrite370.0ms

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 *-commutative add-log-exp
2×unswap-sqr
1×sqrt-prod
Counts
4 → 124
Calls
4 calls:
22.0ms
(* 3.0 (* v v))
14.0ms
(* PI t)
247.0ms
(* (* (* 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)))))))
78.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

series909.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 3.0 (* v v))
24.0ms
(* PI t)
240.0ms
(* (* (* 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)))))))
600.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))

simplify1.8s

Counts
136 → 136
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02545037
16504731
222403700
done50003437

prune686.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite830.0ms

Algorithm
rewrite-expression-head
Rules
108×associate-*r/
66×cbrt-div sqrt-div
48×associate-*l/
37×pow1 add-exp-log
33×flip3-- flip--
32×frac-times
29×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r* associate-*l*
9×add-cube-cbrt *-un-lft-identity
4×cbrt-prod *-commutative add-log-exp
2×unswap-sqr
1×sqrt-prod
Counts
4 → 121
Calls
4 calls:
22.0ms
(* 3.0 (* v v))
22.0ms
(* 3.0 (* v v))
555.0ms
(* (* PI (* (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) t)) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
212.0ms
(* PI (* (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) t))

series1.6s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
34.0ms
(* 3.0 (* v v))
435.0ms
(* (* PI (* (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) t)) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
1.1s
(* PI (* (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) t))

simplify2.1s

Counts
133 → 133
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02765078
17454667
226823809
done50013611

prune620.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02253
12953
done2953

end0.0ms

sample1.6s

Algorithm
intervals
Results
562.0ms8000×body80valid
512.0ms7897×body80nan