Details

Time bar (total: 44.2s)

sample142.0ms

Algorithm
intervals
Results
66.0ms234×body80nan
51.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
44435
3818
2162
146
019

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.2b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite221.0ms

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×frac-times cbrt-undiv div-exp insert-posit16 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 → 98
Calls
4 calls:
26.0ms
(* 3 (* v v))
153.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
5.0ms
(* PI t)
34.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series926.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 3 (* v v))
601.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
36.0ms
(* PI t)
242.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
23287
1704
0233

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize151.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 9)
0.3b
(* PI t)
0.4b
(/ (/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (* PI t))
1.0b
(/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
35×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
25×add-cbrt-cube add-exp-log
21×associate-/l*
11×pow1
10×sqrt-prod
7×cbrt-undiv div-exp
6×sqrt-div associate-*r* prod-exp associate-*r/ associate-/r/ cbrt-unprod
5×associate-/r*
4×flip3-- associate-*l* pow-prod-down insert-posit16 div-inv flip-- add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg *-commutative unswap-sqr
Counts
4 → 134
Calls
4 calls:
23.0ms
(* (* v v) 9)
7.0ms
(* PI t)
21.0ms
(/ (/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (* PI t))
36.0ms
(/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

series720.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* v v) 9)
36.0ms
(* PI t)
365.0ms
(/ (/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (* PI t))
274.0ms
(/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

simplify1.0s

Counts
146 → 146
Iterations
IterNodes
22311
1699
0274

prune3.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.1b
(* (* v v) (* v v))
0.1b
(* -5 (* v v))
0.1b
(* 3 (* v v))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
236×pow1
72×pow-prod-up
52×pow-prod-down
44×pow-sqr
38×add-cbrt-cube add-exp-log
36×pow-plus
26×pow2
22×prod-exp cbrt-unprod
8×add-sqr-sqrt associate-*l*
6×*-un-lft-identity add-cube-cbrt
4×associate-*r* *-commutative insert-posit16 add-log-exp unswap-sqr
2×swap-sqr
Counts
4 → 168
Calls
4 calls:
42.0ms
(* (* v v) (* v v))
22.0ms
(* (* v v) (* v v))
12.0ms
(* -5 (* v v))
20.0ms
(* 3 (* v v))

series174.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* v v) (* v v))
40.0ms
(* (* v v) (* v v))
38.0ms
(* -5 (* v v))
51.0ms
(* 3 (* v v))

simplify3.7s

Counts
180 → 180
Iterations
IterNodes
34819
2791
1252
093

prune3.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize142.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 9)
0.3b
(/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t)
0.4b
(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))))) PI) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t))
1.0b
(/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
726×times-frac
427×add-sqr-sqrt
324×*-un-lft-identity add-cube-cbrt
218×sqrt-prod
176×cbrt-prod
151×associate-*r*
73×add-exp-log
71×associate-*r/
64×sqrt-div
62×cbrt-div
60×add-cbrt-cube
59×associate-*l*
54×associate-/l*
46×associate-/r/
32×cbrt-undiv flip3-- div-exp flip--
25×unswap-sqr
19×prod-exp cbrt-unprod
17×frac-times
14×div-inv
11×pow1
9×associate-*l/
4×associate-/r* pow-prod-down insert-posit16 add-log-exp
3×associate-/l/
2×clear-num frac-2neg *-commutative
Counts
4 → 536
Calls
4 calls:
28.0ms
(* (* v v) 9)
40.0ms
(/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t)
171.0ms
(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))))) PI) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t))
25.0ms
(/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))))

series2.2s

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (* v v) 9)
1.0s
(/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t)
407.0ms
(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))))) PI) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t))
712.0ms
(/ (sqrt (- 1 (* (* 5 v) v))) (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))))

simplify3.0s

Counts
548 → 548
Iterations
IterNodes
12683
0856

prune15.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
246
146
032

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.9s8000×body80valid
1.2s7902×body80nan