Details

Time bar (total: 20.6s)

sample60.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
17.0ms271×body80nan

simplify3.4s

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

localize26.0ms

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))))))

rewrite283.0ms

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:
32.0ms
(* 5.0 (* v v))
7.0ms
(* PI t)
202.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
37.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 5.0 (* v v))
34.0ms
(* 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))))
269.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify465.0ms

Counts
106 → 106
Iterations

Useful iterations: done (455.0ms)

IterNodesCost
02502389
17822250
done50001948

prune535.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*r* pow-prod-down add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 120
Calls
4 calls:
21.0ms
(* 5.0 (* v v))
7.0ms
(* t PI)
18.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
63.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 5.0 (* v v))
42.0ms
(* t PI)
107.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
525.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))

simplify3.0s

Counts
132 → 132
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02503437
16853160
239962892
done50012886

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
201×times-frac
143×add-sqr-sqrt
127×pow1
97×associate-*r*
94×add-cube-cbrt *-un-lft-identity
74×sqrt-prod
47×add-exp-log add-cbrt-cube
36×pow-prod-up
30×pow-prod-down
29×associate-*l*
22×pow-sqr
20×prod-exp cbrt-unprod
18×pow-plus
15×unswap-sqr
13×pow2
9×cbrt-undiv div-exp
6×div-inv
4×*-commutative add-log-exp
3×associate-*l/
2×sqrt-div associate-/r/
1×frac-times flip3-- associate-*r/ swap-sqr flip--
Counts
4 → 253
Calls
4 calls:
33.0ms
(* (* v v) (* v v))
18.0ms
(* 5.0 (* v v))
17.0ms
(* 5.0 (* v v))
257.0ms
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* v v) (* v v))
33.0ms
(* 5.0 (* v v))
28.0ms
(* 5.0 (* v v))
479.0ms
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0))))

simplify895.0ms

Counts
265 → 265
Iterations

Useful iterations: done (881.0ms)

IterNodesCost
04027734
114357125
done50006629

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* (* v v) (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
130×pow1
36×pow-prod-up
32×pow-prod-down
31×add-exp-log add-cbrt-cube
22×pow-sqr
18×pow-plus
17×prod-exp cbrt-unprod
13×pow2
10×add-sqr-sqrt associate-*l*
7×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp unswap-sqr
1×swap-sqr
Counts
4 → 120
Calls
4 calls:
18.0ms
(* 3.0 (* v v))
34.0ms
(* (* v v) (* v v))
25.0ms
(* 5.0 (* v v))
17.0ms
(* 5.0 (* v v))

series180.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 3.0 (* v v))
61.0ms
(* (* v v) (* v v))
47.0ms
(* 5.0 (* v v))
44.0ms
(* 5.0 (* v v))

simplify1.6s

Counts
132 → 132
Iterations

Useful iterations: 2 (338.0ms)

IterNodesCost
090929
1277658
21883546
done5002546

prune657.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03773
14973
done4973

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s8000×body80valid
1.1s7976×body80nan