Details

Time bar (total: 21.2s)

sample62.0ms

Algorithm
intervals
Results
22.0ms230×body80nan
18.0ms256×body80valid

simplify3.0s

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

localize19.0ms

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))))))

rewrite298.0ms

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:
23.0ms
(* 5.0 (* v v))
7.0ms
(* PI t)
187.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
74.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 5.0 (* v v))
29.0ms
(* PI t)
894.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
323.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify460.0ms

Counts
106 → 106
Iterations

Useful iterations: done (454.0ms)

IterNodesCost
02502389
17822250
done50001948

prune550.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

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:
24.0ms
(* 5.0 (* v v))
22.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
8.0ms
(* t PI)
48.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))

series664.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 5.0 (* v v))
105.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
22.0ms
(* t PI)
488.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v (* 2 2)))))))

simplify2.7s

Counts
132 → 132
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02503437
16853160
239472892
done50002874

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* 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))))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
201×times-frac
145×add-sqr-sqrt
97×associate-*r*
95×add-cube-cbrt *-un-lft-identity
74×sqrt-prod
40×add-exp-log add-cbrt-cube
31×associate-*l*
21×pow1
15×prod-exp cbrt-unprod unswap-sqr
10×pow-prod-down
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/ flip--
Counts
4 → 209
Calls
4 calls:
35.0ms
(* 3.0 (* v v))
17.0ms
(* 5.0 (* v v))
24.0ms
(* 5.0 (* v v))
202.0ms
(* (/ (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))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 3.0 (* v v))
32.0ms
(* 5.0 (* v v))
52.0ms
(* 5.0 (* v v))
482.0ms
(* (/ (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))))

simplify888.0ms

Counts
221 → 221
Iterations

Useful iterations: done (871.0ms)

IterNodesCost
03937453
113767071
done50006607

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))) t)
0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-cbrt-cube
19×pow1
12×add-sqr-sqrt prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
7×cbrt-undiv div-exp
5×associate-/l/
4×sqrt-div add-log-exp
3×times-frac associate-*r* associate-/r* *-commutative unswap-sqr
2×frac-times flip3-- associate-*l/ flip--
1×frac-2neg associate-*r/ clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
92.0ms
(/ (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))) t)
22.0ms
(* 3.0 (* v v))
22.0ms
(* 5.0 (* v v))
34.0ms
(* 5.0 (* v v))

series690.0ms

Counts
4 → 12
Calls
4 calls:
546.0ms
(/ (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))) t)
34.0ms
(* 3.0 (* v v))
55.0ms
(* 5.0 (* v v))
54.0ms
(* 5.0 (* v v))

simplify1.8s

Counts
99 → 99
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01782003
15101864
229031536
done50011316

prune803.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04596
16096
done6096

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
900.0ms8165×body80nan