Details

Time bar (total: 49.8s)

sample145.0ms

Algorithm
intervals
Results
66.0ms270×body80nan
51.0ms257×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
44493
3820
2160
144
019

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 5)
0.2b
(* -6 (* v v))
0.4b
(* t (sqrt (+ (* -6 (* v v)) 2)))
0.4b
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
283×times-frac
131×add-sqr-sqrt
125×*-un-lft-identity
107×add-cube-cbrt
67×associate-/l*
37×add-cbrt-cube add-exp-log
36×difference-of-squares
16×pow1
14×associate-/r/
12×cbrt-undiv div-exp
10×associate-*r* prod-exp cbrt-unprod
9×div-inv
7×associate-*l* pow-prod-down
6×flip3-- flip--
4×sqrt-div associate-*r/ sqrt-prod insert-posit16 add-log-exp unswap-sqr
3×div-sub *-commutative
2×flip3-+ flip-+
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 227
Calls
4 calls:
31.0ms
(* (* v v) 5)
27.0ms
(* -6 (* v v))
86.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
78.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* v v) 5)
37.0ms
(* -6 (* v v))
123.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
565.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

simplify3.0s

Counts
239 → 239
Iterations
IterNodes
24215
11478
0596

prune2.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b
(* t (sqrt (+ (* -6 (* v v)) 2)))
0.4b
(* t (sqrt (+ (* -6 (* v v)) 2)))
0.4b
(/ (/ (/ 1 (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
6.8b
(/ (/ (/ (* (* v v) 5) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
416×times-frac
176×add-sqr-sqrt
168×*-un-lft-identity
144×add-cube-cbrt
104×associate-/l*
88×add-exp-log
74×add-cbrt-cube
48×difference-of-squares
46×div-exp
36×cbrt-undiv
28×associate-/r/
18×prod-exp div-inv
16×cbrt-unprod
12×flip3-- associate-*r* flip--
8×pow1 sqrt-div associate-*r/ sqrt-prod
6×associate-*l*
4×flip3-+ flip-+ insert-posit16 add-log-exp unswap-sqr
2×rec-exp clear-num associate-/r* frac-2neg 1-exp pow-prod-down *-commutative associate-/l/
Counts
4 → 324
Calls
4 calls:
96.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
63.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
44.0ms
(/ (/ (/ 1 (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
76.0ms
(/ (/ (/ (* (* v v) 5) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

series1.2s

Counts
4 → 12
Calls
4 calls:
133.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
105.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
442.0ms
(/ (/ (/ 1 (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
525.0ms
(/ (/ (/ (* (* v v) 5) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

simplify4.2s

Counts
336 → 336
Iterations
IterNodes
25992
11968
0786

prune4.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1 (* (* v v) 5)) (- 1 (* v v)))
0.2b
(* (* v v) 5)
0.2b
(* -6 (* v v))
0.3b
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
1124×times-frac
597×add-sqr-sqrt
517×*-un-lft-identity
452×add-cube-cbrt
412×associate-*r*
210×sqrt-prod
116×difference-of-squares
76×add-exp-log
48×add-cbrt-cube
40×associate-/r/
33×div-exp
27×div-inv
23×unswap-sqr
22×prod-exp
20×flip3-- flip--
17×cbrt-undiv associate-*l*
16×pow1
14×cbrt-unprod
7×pow-prod-down
5×associate-/r*
4×rec-exp 1-exp insert-posit16 add-log-exp
3×*-commutative associate-/l*
2×sqrt-div associate-/l/
1×frac-times clear-num frac-2neg flip3-+ div-sub associate-*l/ associate-*r/ flip-+
Counts
4 → 560
Calls
4 calls:
29.0ms
(/ (- 1 (* (* v v) 5)) (- 1 (* v v)))
28.0ms
(* (* v v) 5)
26.0ms
(* -6 (* v v))
169.0ms
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ (- 1 (* (* v v) 5)) (- 1 (* v v)))
29.0ms
(* (* v v) 5)
46.0ms
(* -6 (* v v))
462.0ms
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2))))

simplify7.2s

Counts
572 → 572
Iterations
IterNodes
13717
01063

prune6.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.1b
(/ (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) t)
0.2b
(* (* v v) 5)
0.2b
(* -6 (* v v))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
198×add-sqr-sqrt
194×*-un-lft-identity
193×add-cube-cbrt
108×sqrt-prod
60×associate-/l*
56×associate-/r/
50×associate-*r/
30×add-cbrt-cube add-exp-log
29×div-inv
25×flip3-- flip--
16×pow1
9×cbrt-undiv div-exp associate-*r*
8×sqrt-div prod-exp cbrt-unprod
7×associate-*l* pow-prod-down
4×flip3-+ flip-+ insert-posit16 add-log-exp
3×associate-/r* div-sub *-commutative unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in difference-of-squares
1×clear-num frac-2neg associate-/l/
Counts
4 → 331
Calls
4 calls:
29.0ms
(* PI (- 1 (* v v)))
61.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) t)
30.0ms
(* (* v v) 5)
27.0ms
(* -6 (* v v))

series937.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* PI (- 1 (* v v)))
701.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (* PI (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) t)
72.0ms
(* (* v v) 5)
62.0ms
(* -6 (* v v))

simplify4.3s

Counts
343 → 343
Iterations
IterNodes
24900
11597
0658

prune3.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
222
122
018

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.3s8001×body80valid
1.7s7863×body80nan