Details

Time bar (total: 17.7s)

sample41.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms251×body80nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

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:
16.0ms
(* 5.0 (* v v))
7.0ms
(* PI t)
36.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
123.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
186.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
559.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (480.0ms)

IterNodesCost
02502389
17312232
235651908
done50001908

prune316.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*l/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity associate-*l*
8×flip3-- sqrt-div associate-/r/ flip--
7×pow-prod-down
5×associate-*r*
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
8.0ms
(* PI t)
55.0ms
(* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) (* PI t))
151.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (- 1.0 (* v v)) (* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) (* PI t))))

series632.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
26.0ms
(* PI t)
173.0ms
(* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) (* PI t))
407.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (- 1.0 (* v v)) (* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) (* PI t))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02262592
16502417
231462029
done50002021

prune441.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* t PI)
0.3b
(/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t PI))
0.5b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (pow 1.0 4) (* (pow v 8) (* (pow 3.0 3) 3.0))))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
280×times-frac
115×add-sqr-sqrt
91×add-cube-cbrt *-un-lft-identity
41×add-exp-log add-cbrt-cube
40×associate-/l*
23×sqrt-prod
21×difference-of-squares
17×cbrt-undiv div-exp
16×associate-/r/
14×div-inv
11×pow1
8×flip3-- prod-exp flip-- cbrt-unprod
6×associate-*l*
5×div-sub associate-/r*
4×associate-*r* pow-prod-down add-log-exp
2×frac-2neg sqrt-div associate-*r/ clear-num *-commutative associate-/l/ unswap-sqr
Counts
4 → 232
Calls
4 calls:
17.0ms
(* 5.0 (* v v))
7.0ms
(* t PI)
27.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t PI))
54.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (pow 1.0 4) (* (pow v 8) (* (pow 3.0 3) 3.0))))))

series586.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
28.0ms
(* t PI)
128.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t PI))
404.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (pow 1.0 4) (* (pow v 8) (* (pow 3.0 3) 3.0))))))

simplify1.4s

Counts
244 → 244
Iterations

Useful iterations: 2 (628.0ms)

IterNodesCost
04949671
112108966
243528438
done50018438

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow v 8) (pow 3.0 4))
0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.3b
(* (/ 1 t) (/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) PI) (sqrt (* 2.0 (- (pow 1.0 4) (* (pow v 8) (pow 3.0 4)))))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
627×times-frac
344×add-sqr-sqrt
252×*-un-lft-identity
248×add-cube-cbrt
247×associate-*r*
86×add-exp-log
58×sqrt-prod
48×add-cbrt-cube
36×difference-of-squares
32×div-exp
31×prod-exp
26×associate-*l* associate-/r/
23×unswap-sqr
18×div-inv
16×pow1 cbrt-undiv
15×cbrt-unprod
13×flip3-- flip--
12×unpow-prod-down
8×sqr-pow
7×pow-prod-down
6×pow-to-exp pow-exp
4×rec-exp 1-exp *-commutative add-log-exp
3×associate-*r/
2×sqrt-div
1×frac-times associate-*l/
Counts
4 → 378
Calls
4 calls:
16.0ms
(* (pow v 8) (pow 3.0 4))
16.0ms
(* 3.0 (* v v))
16.0ms
(* 5.0 (* v v))
191.0ms
(* (/ 1 t) (/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) PI) (sqrt (* 2.0 (- (pow 1.0 4) (* (pow v 8) (pow 3.0 4)))))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (pow v 8) (pow 3.0 4))
26.0ms
(* 3.0 (* v v))
33.0ms
(* 5.0 (* v v))
504.0ms
(* (/ 1 t) (/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) PI) (sqrt (* 2.0 (- (pow 1.0 4) (* (pow v 8) (pow 3.0 4)))))))

simplify1.3s

Counts
390 → 390
Iterations

Useful iterations: done (1.3s)

IterNodesCost
085612722
1266011907
done500010925

prune2.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03554
14454
done4454

end0.0ms

sample1.1s

Algorithm
intervals
Results
380.0ms8000×body80valid
353.0ms7946×body80nan