Details

Time bar (total: 24.7s)

sample61.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
16.0ms197×body80nan

simplify3.5s

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: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* 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))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite310.0ms

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:
29.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
203.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
65.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 3.0 (* v v))
34.0ms
(* PI t)
772.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
263.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: 2 (654.0ms)

IterNodesCost
02502389
17292226
235381908
done50001908

prune561.0ms

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

rewrite528.0ms

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:
18.0ms
(* 3.0 (* v v))
360.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
84.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
63.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 3.0 (* v v))
905.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
298.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
193.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: 2 (722.0ms)

IterNodesCost
02582663
17522474
234732144
done50002144

prune516.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow v 6))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
44×add-exp-log add-cbrt-cube
36×pow-prod-up
31×times-frac
27×pow-prod-down
24×add-sqr-sqrt
22×pow-sqr
21×add-cube-cbrt *-un-lft-identity
18×pow-plus associate-*r/ prod-exp cbrt-unprod
13×pow2 associate-/l*
9×cbrt-undiv div-exp
8×sqrt-div associate-/r/
7×flip3-- associate-*l* flip--
6×associate-*r*
4×frac-times add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub associate-*l/
1×frac-2neg swap-sqr clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 162
Calls
4 calls:
30.0ms
(* (* v v) (* v v))
36.0ms
(* 3.0 (* v v))
53.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
141.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow v 6))))

series1.1s

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (* v v) (* v v))
41.0ms
(* 3.0 (* v v))
217.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
802.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (pow 1.0 3) (pow v 6))))

simplify1.9s

Counts
174 → 174
Iterations

Useful iterations: 2 (701.0ms)

IterNodesCost
03213675
18683192
234182810
done50012810

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 6) (pow v 12)) (* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
44×add-exp-log add-cbrt-cube
36×pow-prod-up
31×times-frac
27×pow-prod-down
24×add-sqr-sqrt
22×pow-sqr
21×add-cube-cbrt *-un-lft-identity
18×pow-plus prod-exp cbrt-unprod
13×pow2 associate-/l*
10×associate-*r/ associate-*l/
9×cbrt-undiv div-exp
8×sqrt-div associate-/r/
7×flip3-- associate-*l* flip--
6×associate-*r*
4×frac-times add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub
1×frac-2neg swap-sqr clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 162
Calls
4 calls:
33.0ms
(* (* v v) (* v v))
30.0ms
(* 3.0 (* v v))
87.0ms
(* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))
257.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 6) (pow v 12)) (* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))))

series911.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* v v) (* v v))
46.0ms
(* 3.0 (* v v))
205.0ms
(* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))
618.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 6) (pow v 12)) (* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))))

simplify1.6s

Counts
174 → 174
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02993999
17923546
230573042
done50003026

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04982
16482
done6482

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8000×body80valid
988.0ms8021×body80nan