Details

Time bar (total: 23.9s)

sample63.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
13.0ms197×body80nan

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383328
4371728
done500028

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

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))))))

rewrite332.0ms

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:
32.0ms
(* 3.0 (* v v))
13.0ms
(* PI t)
223.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
56.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 3.0 (* v v))
35.0ms
(* PI t)
869.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
313.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.1s

Counts
114 → 114
Iterations

Useful iterations: 2 (850.0ms)

IterNodesCost
02582497
17492326
236062006
done50002006

prune502.0ms

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))))))

rewrite421.0ms

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 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 → 104
Calls
4 calls:
18.0ms
(* 3.0 (* v v))
273.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
93.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
32.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 3.0 (* v v))
810.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
246.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
175.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.7s

Counts
116 → 116
Iterations

Useful iterations: 2 (664.0ms)

IterNodesCost
02662789
17732590
235422258
done50002258

prune561.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

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 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
0.3b
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
0.4b
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite606.0ms

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:
19.0ms
(* 3.0 (* v v))
286.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
201.0ms
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
97.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 3.0 (* v v))
508.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))))
333.0ms
(* PI (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
303.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.3s

Counts
108 → 108
Iterations

Useful iterations: 2 (459.0ms)

IterNodesCost
02042437
15402231
221931965
done50001965

prune994.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

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*
10×associate-*l*
9×prod-exp cbrt-unprod
8×associate-*l/
7×pow-prod-down
6×cbrt-undiv div-exp
5×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
(* 3.0 (* v v))
27.0ms
(* 3.0 (* v v))
100.0ms
(* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)
121.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t))

series834.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 3.0 (* v v))
48.0ms
(* 3.0 (* v v))
265.0ms
(* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)
474.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t))

simplify1.7s

Counts
128 → 128
Iterations

Useful iterations: 2 (397.0ms)

IterNodesCost
02312774
15542607
219682341
done50012341

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04190
15490
done5490

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s8000×body80valid
998.0ms8021×body80nan