Details

Time bar (total: 21.2s)

sample56.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
16.0ms248×body80nan

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383328
4371728
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 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))))))

rewrite354.0ms

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:
34.0ms
(* 3.0 (* v v))
14.0ms
(* PI t)
235.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
63.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 3.0 (* v v))
26.0ms
(* PI t)
865.0ms
(/ (- 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))))))

simplify2.0s

Counts
114 → 114
Iterations

Useful iterations: 2 (744.0ms)

IterNodesCost
02582497
17492326
236062006
done50002006

prune640.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- 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:
17.0ms
(* 3.0 (* v v))
13.0ms
(* PI t)
66.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
69.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 3.0 (* v v))
24.0ms
(* PI t)
717.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
706.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: 2 (537.0ms)

IterNodesCost
02161887
15961758
225501540
done50011540

prune557.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite378.0ms

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:
27.0ms
(* 3.0 (* v v))
150.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
143.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
56.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 3.0 (* v v))
821.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
296.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
238.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: 2 (569.0ms)

IterNodesCost
02242177
16132020
224731790
done50001790

prune511.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* 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)))))))

rewrite139.0ms

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:
17.0ms
(* 5.0 (* v v))
21.0ms
(* 3.0 (* v v))
53.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
44.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
35.0ms
(* 3.0 (* v v))
273.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
792.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify1.3s

Counts
128 → 128
Iterations

Useful iterations: 2 (487.0ms)

IterNodesCost
02762494
16842354
223622122
done50002122

prune541.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02130
12730
done2730

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.3s8000×body80valid
882.0ms7932×body80nan