Details

Time bar (total: 23.5s)

sample97.0ms

Algorithm
intervals
Results
44.0ms256×body80valid
26.0ms271×body80nan

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383928
4412928
done500028

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* 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))))))

rewrite295.0ms

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:
23.0ms
(* 5.0 (* v v))
14.0ms
(* PI t)
184.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
70.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 5.0 (* v v))
34.0ms
(* PI t)
747.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
309.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify717.0ms

Counts
114 → 114
Iterations

Useful iterations: done (712.0ms)

IterNodesCost
02582497
18052336
done50002038

prune558.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))))
0.3b
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))
0.4b
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1 associate-*r/
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
9×associate-*l*
7×pow-prod-down
6×sqrt-div associate-*r*
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp *-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 → 96
Calls
4 calls:
18.0ms
(* 5.0 (* v v))
122.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))))
115.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))
51.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 5.0 (* v v))
451.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))))
251.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))
188.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

simplify1.7s

Counts
108 → 108
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02002445
15582282
231231998
done50001992

prune691.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-/l*
9×associate-*l* prod-exp cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv div-exp associate-*r*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- div-sub associate-/r/ flip--
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 116
Calls
4 calls:
22.0ms
(* 3.0 (* v v))
17.0ms
(* 5.0 (* v v))
64.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))
86.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 3.0 (* v v))
40.0ms
(* 5.0 (* v v))
198.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))
440.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))

simplify2.7s

Counts
128 → 128
Iterations

Useful iterations: 2 (724.0ms)

IterNodesCost
02542769
16702625
237312353
done50012353

prune846.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
526×times-frac
237×add-sqr-sqrt
235×add-cube-cbrt *-un-lft-identity
58×associate-/l*
52×sqrt-prod
49×add-exp-log
28×add-cbrt-cube
27×prod-exp
21×div-inv
14×pow1
9×associate-*r* cbrt-unprod
8×sqrt-div associate-*r/ associate-/r/
7×pow-to-exp associate-*l* pow-exp
6×cbrt-undiv div-exp pow-prod-down
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×unpow-prod-down div-sub associate-/r* *-commutative
2×unswap-sqr
1×frac-2neg clear-num associate-/l/ sqr-pow
Counts
4 → 329
Calls
4 calls:
60.0ms
(* (* 3.0 (pow 3.0 3)) (pow v 8))
120.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- (* 1.0 (pow 1.0 3)) (* (* 3.0 (pow 3.0 3)) (pow v 8)))))) t)
36.0ms
(* 3.0 (* v v))
53.0ms
(* 5.0 (* v v))

series595.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (* 3.0 (pow 3.0 3)) (pow v 8))
386.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- (* 1.0 (pow 1.0 3)) (* (* 3.0 (pow 3.0 3)) (pow v 8)))))) t)
50.0ms
(* 3.0 (* v v))
40.0ms
(* 5.0 (* v v))

simplify1.3s

Counts
341 → 341
Iterations

Useful iterations: done (1.3s)

IterNodesCost
073914538
1191714069
done500013787

prune3.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes278.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04173
15373
done5373

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.3s7976×body80nan
1.3s8000×body80valid