Details

Time bar (total: 30.3s)

sample100.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
29.0ms244×body80nan

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383928
4412928
done500028

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

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
(* 5.0 (* v v))
246.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
17.0ms
(* PI t)
84.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 5.0 (* v v))
1.1s
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
39.0ms
(* PI t)
368.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify741.0ms

Counts
114 → 114
Iterations

Useful iterations: done (735.0ms)

IterNodesCost
02582497
18012336
done50012038

prune955.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize95.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.3b
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))
0.4b
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

rewrite816.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
16×pow1
14×prod-exp cbrt-unprod
13×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×cbrt-undiv div-exp
7×pow-prod-down
6×associate-*r*
5×flip3-- associate-/r/ flip--
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×frac-times associate-/l/ unswap-sqr
1×frac-2neg div-sub associate-*l/ clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 103
Calls
4 calls:
33.0ms
(* 5.0 (* v v))
489.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
208.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))
79.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
62.0ms
(* 5.0 (* v v))
1.2s
(/ (- 1.0 (* 5.0 (* v v))) (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
349.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))))
267.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))))

simplify803.0ms

Counts
115 → 115
Iterations

Useful iterations: done (792.0ms)

IterNodesCost
02773589
18573369
done50002823

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down sqrt-prod
6×times-frac sqrt-div associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp *-commutative flip--
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 99
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
97.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
14.0ms
(* PI t)
72.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 5.0 (* v v))
1.2s
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
38.0ms
(* PI t)
369.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.9s

Counts
111 → 111
Iterations

Useful iterations: 2 (875.0ms)

IterNodesCost
02162012
15821854
234321662
done50001662

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize132.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt 1.0) (* t (* (sqrt 2.0) PI)))
3.7b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
3.7b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
4.7b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

rewrite470.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
75×prod-exp
55×add-cbrt-cube
45×div-exp
28×times-frac associate-/l*
21×cbrt-unprod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×unpow-prod-down
17×pow-to-exp pow-exp
15×cbrt-undiv
6×sqrt-prod sqr-pow
4×pow1 expm1-log1p-u frac-2neg clear-num associate-/r* log1p-expm1-u div-inv add-log-exp
2×unpow2
Counts
4 → 168
Calls
4 calls:
47.0ms
(/ (sqrt 1.0) (* t (* (sqrt 2.0) PI)))
126.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
135.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
146.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

series1.7s

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ (sqrt 1.0) (* t (* (sqrt 2.0) PI)))
424.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
605.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
402.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

simplify3.0s

Counts
180 → 180
Iterations

Useful iterations: 2 (860.0ms)

IterNodesCost
02933211
18262886
247162599
done50002599

prune1.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes767.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02741
13541
done3541

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.9s8051×body80nan
1.3s8000×body80valid