Details

Time bar (total: 23.2s)

sample53.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
14.0ms214×body80nan

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5001
44926
3827
2162
146
019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* v v))
0.3b
(* 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))))))

rewrite327.0ms

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:
32.0ms
(* 3 (* v v))
14.0ms
(* PI t)
207.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
66.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 3 (* v v))
29.0ms
(* PI t)
595.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
261.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify2.2s

Counts
110 → 110
Iterations
IterNodes
done5008
23466
1722
0233

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* 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))))))

rewrite344.0ms

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×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 → 100
Calls
4 calls:
18.0ms
(* 3 (* v v))
237.0ms
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
62.0ms
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
24.0ms
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3 (* v v))
609.0ms
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
215.0ms
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
164.0ms
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify2.3s

Counts
112 → 112
Iterations
IterNodes
done5017
23441
1729
0238

prune655.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5 (* v v))
0.2b
(* 3 (* v v))
0.4b
(/ (/ (- 1 (* 5 (* v v))) PI) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (- 1 (* (* v v) (* v v)))))
0.4b
(* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
31×times-frac
26×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×prod-exp cbrt-unprod associate-/l*
10×associate-*l* associate-*l/ associate-*r/
9×cbrt-undiv div-exp
8×sqrt-div associate-/r/
7×flip3-- pow-prod-down flip--
5×associate-*r*
4×frac-times insert-posit16 add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub
1×clear-num associate-/r* frac-2neg sqrt-prod associate-/l/
Counts
4 → 122
Calls
4 calls:
16.0ms
(* 5 (* v v))
27.0ms
(* 3 (* v v))
177.0ms
(/ (/ (- 1 (* 5 (* v v))) PI) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (- 1 (* (* v v) (* v v)))))
56.0ms
(* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)

series902.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 5 (* v v))
28.0ms
(* 3 (* v v))
541.0ms
(/ (/ (- 1 (* 5 (* v v))) PI) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) t) (- 1 (* (* v v) (* v v)))))
289.0ms
(* (sqrt (* 2 (- 1 (* 3 (* v v))))) t)

simplify2.4s

Counts
134 → 134
Iterations
IterNodes
done5044
23486
1902
0312

prune858.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 5 v) v)
0.2b
(* 3 (* v v))
0.2b
(* 3 (* v v))
0.2b
(* 3 (* v v))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
8×*-un-lft-identity add-cube-cbrt
6×associate-*r*
4×*-commutative insert-posit16 add-log-exp
3×unswap-sqr
Counts
4 → 79
Calls
4 calls:
23.0ms
(* (* 5 v) v)
32.0ms
(* 3 (* v v))
36.0ms
(* 3 (* v v))
32.0ms
(* 3 (* v v))

series163.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* 5 v) v)
35.0ms
(* 3 (* v v))
53.0ms
(* 3 (* v v))
34.0ms
(* 3 (* v v))

simplify2.3s

Counts
91 → 91
Iterations
IterNodes
done5015
32543
2548
1179
066

prune730.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations
IterNodes
done51
151
034

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.6s8000×body80valid
901.0ms8077×body80nan