Details

Time bar (total: 17.2s)

sample93.0ms

Algorithm
intervals
Results
45.0ms248×body80nan
30.0ms256×body80valid

simplify868.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.2b
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.3b
(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
0.4b
(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
14×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
9×times-frac
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×associate-*l* *-commutative
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
4 → 83
Calls
4 calls:
33.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
19.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.0ms
(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (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)))

series1.6s

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
249.0ms
(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
467.0ms
(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
690.0ms
(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

simplify1.2s

Counts
95 → 95
Iterations
IterNodes
done2006
32006
21887
1494
0188

prune689.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 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))))))

rewrite194.0ms

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:
13.0ms
(* 3 (* v v))
5.0ms
(* PI t)
122.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
53.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series976.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 3 (* v v))
45.0ms
(* PI t)
658.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
223.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.1s

Counts
118 → 118
Iterations
IterNodes
done2000
22000
1730
0241

prune652.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5/2 (/ (/ (* v v) t) (* PI (sqrt 2))))
0.4b
(/ (/ 1 t) (* PI (sqrt 2)))
2.8b
(/ (* (* v v) (* v v)) (* (* PI (sqrt 2)) t))
7.2b
(/ (* v v) t)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
129×add-exp-log
119×add-cbrt-cube
56×prod-exp
54×cbrt-unprod
45×times-frac
39×div-exp
33×cbrt-undiv
26×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
15×associate-/l*
11×associate-*r*
7×div-inv
6×pow1
5×associate-/r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*l*
2×rec-exp 1-exp
1×pow-prod-down associate-*r/ *-commutative unswap-sqr associate-/l/
Counts
4 → 165
Calls
4 calls:
44.0ms
(* 5/2 (/ (/ (* v v) t) (* PI (sqrt 2))))
11.0ms
(/ (/ 1 t) (* PI (sqrt 2)))
40.0ms
(/ (* (* v v) (* v v)) (* (* PI (sqrt 2)) t))
14.0ms
(/ (* v v) t)

series523.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* 5/2 (/ (/ (* v v) t) (* PI (sqrt 2))))
144.0ms
(/ (/ 1 t) (* PI (sqrt 2)))
185.0ms
(/ (* (* v v) (* v v)) (* (* PI (sqrt 2)) t))
31.0ms
(/ (* v v) t)

simplify872.0ms

Counts
177 → 177
Iterations
IterNodes
done2012
22012
1896
0300

prune945.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5/2 (/ (/ (* v v) t) (* PI (sqrt 2))))
0.3b
(* (/ 1 t) (/ 1 (* PI (sqrt 2))))
2.8b
(/ (* (* v v) (* v v)) (* (* PI (sqrt 2)) t))
7.2b
(/ (* v v) t)

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
190×add-exp-log
128×add-cbrt-cube
92×prod-exp
60×cbrt-unprod
57×div-exp
34×cbrt-undiv
28×add-sqr-sqrt times-frac
20×*-un-lft-identity
19×add-cube-cbrt
18×associate-*r*
16×associate-*l*
15×rec-exp 1-exp
13×pow1
6×pow-prod-down div-inv
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u pow-flip add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*r/ *-commutative associate-/l* inv-pow
1×frac-times associate-*l/ un-div-inv
Counts
4 → 188
Calls
4 calls:
47.0ms
(* 5/2 (/ (/ (* v v) t) (* PI (sqrt 2))))
45.0ms
(* (/ 1 t) (/ 1 (* PI (sqrt 2))))
61.0ms
(/ (* (* v v) (* v v)) (* (* PI (sqrt 2)) t))
9.0ms
(/ (* v v) t)

series505.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* 5/2 (/ (/ (* v v) t) (* PI (sqrt 2))))
153.0ms
(* (/ 1 t) (/ 1 (* PI (sqrt 2))))
177.0ms
(/ (* (* v v) (* v v)) (* (* PI (sqrt 2)) t))
23.0ms
(/ (* v v) t)

simplify989.0ms

Counts
200 → 200
Iterations
IterNodes
done2019
22019
1998
0315

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done27
127
021

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.9s8000×body80valid
1.5s7982×body80nan