Details

Time bar (total: 33.6s)

sample106.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
33.0ms269×body80nan

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381928
4401628
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite263.0ms

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:
7.0ms
(* PI t)
23.0ms
(* 3.0 (* v v))
194.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
36.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* PI t)
27.0ms
(* 3.0 (* v v))
830.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
270.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify773.0ms

Counts
106 → 106
Iterations

Useful iterations: done (768.0ms)

IterNodesCost
02502389
17822252
done50001944

prune541.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize103.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
3.2b
(/ (pow v 4) t)
6.7b
(/ (* v v) t)
6.7b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
55×prod-exp
39×times-frac add-cbrt-cube
35×div-exp
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
23×associate-/l*
14×pow-to-exp pow-exp
13×cbrt-unprod
11×cbrt-undiv
8×associate-/r* sqr-pow
4×pow1 frac-2neg clear-num div-inv add-log-exp
2×unpow2
Counts
4 → 156
Calls
4 calls:
89.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
9.0ms
(/ (pow v 4) t)
18.0ms
(/ (* v v) t)
96.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

series878.0ms

Counts
4 → 12
Calls
4 calls:
461.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
42.0ms
(/ (pow v 4) t)
34.0ms
(/ (* v v) t)
341.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

simplify537.0ms

Counts
168 → 168
Iterations

Useful iterations: done (530.0ms)

IterNodesCost
02842560
17662299
done50012088

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (- (* 1.0 1.0) (pow v 4)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))))
0.3b
(* (* (- (* 1.0 1.0) (pow v 4)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2))))))))
0.5b
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))

rewrite594.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
32×associate-*r/
23×pow1
20×prod-exp cbrt-unprod
16×associate-*l/
14×flip3-- sqrt-div flip--
12×add-sqr-sqrt pow-prod-down
9×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
7×associate-*l*
6×associate-*r*
5×cbrt-undiv div-exp
4×add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 108
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
242.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (- (* 1.0 1.0) (pow v 4)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))))
233.0ms
(* (* (- (* 1.0 1.0) (pow v 4)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2))))))))
77.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 3.0 (* v v))
643.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (- (* 1.0 1.0) (pow v 4)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))))
370.0ms
(* (* (- (* 1.0 1.0) (pow v 4)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2))))))))
212.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))

simplify528.0ms

Counts
120 → 120
Iterations

Useful iterations: done (511.0ms)

IterNodesCost
02524259
17993682
done50003102

prune932.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 3.0) (pow v (* 2 2)))
0.1b
(/ (/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- (* (pow 1.0 3) 1.0) (pow v 8))) PI) (sqrt (* (- (* (pow 1.0 3) 1.0) (* (* 3.0 (pow 3.0 3)) (pow v 8))) 2.0))) t)
0.2b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite552.0ms

Algorithm
rewrite-expression-head
Rules
2542×times-frac
1007×add-sqr-sqrt
1003×add-cube-cbrt *-un-lft-identity
202×associate-/l*
196×sqrt-prod
104×associate-/r/
69×div-inv
52×flip3-- flip--
41×add-exp-log
33×add-cbrt-cube
15×prod-exp
14×pow1
10×cbrt-undiv div-exp
9×associate-*r* cbrt-unprod
8×sqrt-div associate-*l/
7×associate-*l*
6×pow-prod-down
5×unswap-sqr
4×unpow-prod-down div-sub add-log-exp
3×associate-/r* *-commutative
2×pow-to-exp pow-exp sqr-pow
1×frac-2neg clear-num associate-/l/
Counts
4 → 896
Calls
4 calls:
30.0ms
(* (* 3.0 3.0) (pow v (* 2 2)))
275.0ms
(/ (/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- (* (pow 1.0 3) 1.0) (pow v 8))) PI) (sqrt (* (- (* (pow 1.0 3) 1.0) (* (* 3.0 (pow 3.0 3)) (pow v 8))) 2.0))) t)
18.0ms
(* 5.0 (* v v))
35.0ms
(* 3.0 (* v v))

series647.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* 3.0 3.0) (pow v (* 2 2)))
525.0ms
(/ (/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- (* (pow 1.0 3) 1.0) (pow v 8))) PI) (sqrt (* (- (* (pow 1.0 3) 1.0) (* (* 3.0 (pow 3.0 3)) (pow v 8))) 2.0))) t)
44.0ms
(* 5.0 (* v v))
28.0ms
(* 3.0 (* v v))

simplify1.5s

Counts
908 → 908
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0208560909
done500059210

prune15.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify25.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
04578
16076
26276
36476
done6476

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s7955×body80nan
1.0s8000×body80valid