Details

Time bar (total: 22.7s)

sample94.0ms

Algorithm
intervals
Results
42.0ms267×body80nan
31.0ms256×body80valid

simplify951.0ms

Counts
1 → 1
Iterations
IterNodes
done2009
42009
3849
2162
146
019

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-cbrt-cube add-exp-log
17×*-un-lft-identity add-cube-cbrt
16×pow1
9×times-frac associate-*r*
8×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* *-commutative associate-/l*
2×unswap-sqr
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 97
Calls
4 calls:
7.0ms
(* (sqrt (fma 6 (* (- v) v) 2)) PI)
23.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
19.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
4.0ms
(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (sqrt (fma 6 (* (- v) v) 2)) PI)
198.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
290.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
551.0ms
(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

simplify1.5s

Counts
109 → 109
Iterations
IterNodes
done2008
32008
21800
1511
0203

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize132.0ms

Local error

Found 4 expressions with local error:

2.4b
(/ (* (* v v) (* v v)) t)
2.4b
(/ (* (* v v) (* v v)) t)
7.2b
(/ (* v v) (* (* (sqrt 2) PI) t))
7.3b
(/ (/ (* (* v v) 3) (* (* 2 (sqrt 2)) PI)) t)

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
108×add-cbrt-cube add-exp-log
43×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
26×times-frac
18×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×associate-/r*
8×div-inv associate-/l*
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 145
Calls
4 calls:
27.0ms
(/ (* (* v v) (* v v)) t)
49.0ms
(/ (* (* v v) (* v v)) t)
46.0ms
(/ (* v v) (* (* (sqrt 2) PI) t))
62.0ms
(/ (/ (* (* v v) 3) (* (* 2 (sqrt 2)) PI)) t)

series392.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (* (* v v) (* v v)) t)
33.0ms
(/ (* (* v v) (* v v)) t)
140.0ms
(/ (* v v) (* (* (sqrt 2) PI) t))
182.0ms
(/ (/ (* (* v v) 3) (* (* 2 (sqrt 2)) PI)) t)

simplify941.0ms

Counts
157 → 157
Iterations
IterNodes
done2015
22015
1765
0249

prune3.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity add-cube-cbrt
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×expm1-log1p-u frac-times cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 106
Calls
4 calls:
26.0ms
(* 5 (* v v))
6.0ms
(* PI t)
114.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
32.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series964.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 5 (* v v))
35.0ms
(* PI t)
643.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
252.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.0s

Counts
118 → 118
Iterations
IterNodes
done2001
22001
1725
0241

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5 (* v v))
0.3b
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
0.3b
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
0.4b
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube associate-*r/ add-exp-log
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity sqrt-div add-cube-cbrt
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×expm1-log1p-u frac-times cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 108
Calls
4 calls:
14.0ms
(* 5 (* v v))
218.0ms
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
85.0ms
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
21.0ms
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5 (* v v))
643.0ms
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
232.0ms
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
185.0ms
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.2s

Counts
120 → 120
Iterations
IterNodes
done2001
22001
1751
0246

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes451.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done40
140
028

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.9s8217×body80nan
1.5s8000×body80valid