Details

Time bar (total: 10.8s)

sample37.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms243×body80nan

simplify986.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378028
4343828
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

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))))))

rewrite87.0ms

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
(* 5.0 (* v v))
3.0ms
(* PI t)
59.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series872.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
27.0ms
(* PI t)
623.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
196.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.1s

Counts
106 → 106
Iterations

Useful iterations: 2 (395.0ms)

IterNodesCost
02502389
17472232
237471912
done50001912

prune326.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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 (* 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))))))

rewrite157.0ms

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 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 → 96
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
104.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
29.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
12.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
629.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
208.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
156.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify944.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (311.0ms)

IterNodesCost
02582663
17712480
235462144
done50002144

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) t)
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 3) (pow v 6)) (* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) t)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
31×times-frac
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×associate-*l/
16×pow1
13×prod-exp cbrt-unprod associate-/l*
10×associate-*l*
9×cbrt-undiv div-exp
8×sqrt-div associate-/r/
7×flip3-- pow-prod-down flip--
5×associate-*r*
4×frac-times add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub associate-*r/
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 118
Calls
4 calls:
7.0ms
(* 3.0 (* v v))
7.0ms
(* 5.0 (* v v))
18.0ms
(* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) t)
70.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 3) (pow v 6)) (* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) t)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
33.0ms
(* 5.0 (* v v))
136.0ms
(* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) t)
408.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 3) (pow v 6)) (* (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)) t)))

simplify969.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (355.0ms)

IterNodesCost
02883708
18063470
232973004
done50003004

prune680.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 (pow 3.0 3)) (pow v 8))
0.1b
(* (* v v) (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
125×pow1
52×add-exp-log
36×pow-prod-up
35×prod-exp
31×add-cbrt-cube
29×pow-prod-down
22×pow-sqr
18×pow-plus
17×cbrt-unprod
13×pow2
10×add-sqr-sqrt associate-*r*
8×add-cube-cbrt *-un-lft-identity associate-*l*
7×pow-to-exp pow-exp
4×*-commutative add-log-exp
3×unpow-prod-down unswap-sqr
1×swap-sqr sqr-pow
Counts
4 → 131
Calls
4 calls:
13.0ms
(* (* 3.0 (pow 3.0 3)) (pow v 8))
16.0ms
(* (* v v) (* v v))
7.0ms
(* 3.0 (* v v))
7.0ms
(* 5.0 (* v v))

series182.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (* 3.0 (pow 3.0 3)) (pow v 8))
37.0ms
(* (* v v) (* v v))
25.0ms
(* 3.0 (* v v))
25.0ms
(* 5.0 (* v v))

simplify566.0ms

Counts
143 → 143
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
01461163
1374800
21247672
done5000672

prune554.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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
04576
16076
done6076

end0.0ms

sample996.0ms

Algorithm
intervals
Results
382.0ms8001×body80valid
356.0ms7978×body80nan