Details

Time bar (total: 12.7s)

sample43.0ms

Algorithm
intervals
Results
14.0ms297×body80nan
13.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378028
4343528
done500028

prune9.0ms

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
(* 3.0 (* 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))))))

rewrite82.0ms

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:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
55.0ms
(/ (- 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))))))

series847.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
604.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
192.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (437.0ms)

IterNodesCost
02502389
17452240
236851908
done50001908

prune344.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* 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) (* (pow v 4) (* 3.0 3.0))))))

rewrite33.0ms

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:
7.0ms
(* 3.0 (* v v))
3.0ms
(* t PI)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
13.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
20.0ms
(* t PI)
87.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
355.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))))

simplify943.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (332.0ms)

IterNodesCost
02493257
16513172
224242874
done50002874

prune573.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 5.0 v) t)
0.2b
(/ v PI)
0.4b
(/ (/ 1.0 PI) t)
0.5b
(/ (- (/ (/ 1.0 PI) t) (* (/ v PI) (/ (* 5.0 v) t))) (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
65×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×associate-/l*
18×add-exp-log add-cbrt-cube
13×associate-/r*
8×div-inv
7×cbrt-undiv div-exp associate-/l/
4×pow1 frac-2neg associate-*r/ clear-num sqrt-prod add-log-exp
3×frac-sub
2×flip3-- sqrt-div associate-/r/ flip--
1×frac-times div-sub associate-*l/ prod-exp cbrt-unprod sub-div
Counts
4 → 158
Calls
4 calls:
3.0ms
(/ (* 5.0 v) t)
2.0ms
(/ v PI)
6.0ms
(/ (/ 1.0 PI) t)
74.0ms
(/ (- (/ (/ 1.0 PI) t) (* (/ v PI) (/ (* 5.0 v) t))) (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* 5.0 v) t)
38.0ms
(/ v PI)
36.0ms
(/ (/ 1.0 PI) t)
398.0ms
(/ (- (/ (/ 1.0 PI) t) (* (/ v PI) (/ (* 5.0 v) t))) (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))))

simplify962.0ms

Counts
170 → 170
Iterations

Useful iterations: 2 (397.0ms)

IterNodesCost
03333052
17822952
225872772
done50002772

prune888.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×add-exp-log add-cbrt-cube
17×add-cube-cbrt *-un-lft-identity
12×times-frac
11×pow1
7×associate-*l*
6×associate-*l/ associate-/l*
5×prod-exp cbrt-unprod
4×sqrt-div associate-*r/ associate-*r* pow-prod-down associate-/r* associate-/l/ add-log-exp
3×cbrt-undiv flip3-- div-exp flip--
2×frac-2neg clear-num associate-/r/ *-commutative div-inv unswap-sqr
1×div-sub sqrt-prod frac-sub sub-div
Counts
4 → 95
Calls
4 calls:
7.0ms
(* 3.0 (* v v))
2.0ms
(/ v PI)
38.0ms
(/ (- (/ 1.0 PI) (* (/ v PI) (* 5.0 v))) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))) t))
18.0ms
(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))) t)

series602.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
32.0ms
(/ v PI)
402.0ms
(/ (- (/ 1.0 PI) (* (/ v PI) (* 5.0 v))) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))) t))
142.0ms
(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))))) t)

simplify767.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (225.0ms)

IterNodesCost
02142009
15411919
220171689
done50011689

prune469.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02943
13643
done3643

end0.0ms

sample1.1s

Algorithm
intervals
Results
396.0ms8000×body80valid
383.0ms8200×body80nan