Details

Time bar (total: 12.1s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms243×body80nan

simplify977.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
380028
4354228
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

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))))))

rewrite84.0ms

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:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
56.0ms
(/ (- 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))))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
580.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
185.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.2s

Counts
114 → 114
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
02582497
17672332
238252010
done50002010

prune356.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
19×pow1 prod-exp cbrt-unprod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 102
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
7.0ms
(* 5.0 (* v v))
9.0ms
(* t (* (sqrt 2.0) PI))
124.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
31.0ms
(* 5.0 (* v v))
74.0ms
(* t (* (sqrt 2.0) PI))
605.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify1.0s

Counts
114 → 114
Iterations

Useful iterations: 2 (335.0ms)

IterNodesCost
02622431
18062249
237801905
done50001905

prune341.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1 add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times sqrt-prod log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 105
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
142.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
10.0ms
(* (* t (sqrt 2.0)) PI)
4.0ms
(* t (sqrt 2.0))

series735.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
594.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
70.0ms
(* (* t (sqrt 2.0)) PI)
40.0ms
(* t (sqrt 2.0))

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: 2 (586.0ms)

IterNodesCost
02662428
17992252
239571908
done50001908

prune347.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* (* (* 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))))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
8.4b
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log add-cbrt-cube
42×prod-exp cbrt-unprod
36×associate-*r/
16×cbrt-undiv sqrt-div div-exp associate-/r/
14×pow1 flip3-- flip--
8×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity associate-*r*
6×pow-prod-down
4×expm1-log1p-u times-frac associate-*l/ log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg associate-*l* clear-num associate-/r* sqrt-prod *-commutative div-inv
Counts
4 → 128
Calls
4 calls:
52.0ms
(/ 1.0 (* (* (* 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))))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
58.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.4s

Counts
4 → 12
Calls
4 calls:
471.0ms
(/ 1.0 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
191.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
190.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
561.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify445.0ms

Counts
140 → 140
Iterations

Useful iterations: done (440.0ms)

IterNodesCost
02904515
19624014
done50013947

prune456.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.1b

regimes215.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02029
12629
done2629

end0.0ms

sample1.0s

Algorithm
intervals
Results
396.0ms8001×body80valid
366.0ms7978×body80nan