Details

Time bar (total: 27.2s)

sample127.0ms

Algorithm
intervals
Results
59.0ms249×body80nan
44.0ms257×body80valid

simplify3.6s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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))))))

rewrite220.0ms

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:
27.0ms
(* 3 (* v v))
11.0ms
(* PI t)
144.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
36.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3 (* v v))
39.0ms
(* PI t)
654.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
307.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify2.6s

Counts
110 → 110
Iterations
IterNodes
done5008
23466
1722
0233

prune558.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 5))
0.3b
(* PI t)
0.5b
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
1.0b
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
34×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-*l* associate-*l/ prod-exp associate-/r/ cbrt-unprod
5×associate-/r*
4×flip3-- associate-*r* pow-prod-down insert-posit16 div-inv flip-- add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg *-commutative
1×unswap-sqr
Counts
4 → 133
Calls
4 calls:
14.0ms
(* v (* v 5))
10.0ms
(* PI t)
34.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
18.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

series878.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* v (* v 5))
39.0ms
(* PI t)
394.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
389.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

simplify3.1s

Counts
145 → 145
Iterations
IterNodes
done5007
22663
1717
0276

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:
19.0ms
(* 3 (* v v))
14.0ms
(* 3 (* v v))
19.0ms
(* 3 (* v v))
17.0ms
(* (* 5 v) v)

series137.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 3 (* v v))
36.0ms
(* 3 (* v v))
34.0ms
(* 3 (* v v))
33.0ms
(* (* 5 v) v)

simplify2.1s

Counts
91 → 91
Iterations
IterNodes
done5001
32400
2566
1176
066

prune768.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v)))))))) (- 1 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2 (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v))))))))
31.3b
(sqrt (* 3 (* v v)))
31.3b
(sqrt (* 3 (* v v)))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
21×pow1
18×associate-*r/
9×pow-prod-down prod-exp cbrt-unprod
8×flip3-- sqrt-div associate-/r/ flip--
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×sqrt-pow1
4×frac-times cbrt-undiv div-exp associate-*r* insert-posit16 add-log-exp
3×times-frac sqrt-prod associate-/l*
2×pow1/2 associate-*l/ associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 85
Calls
4 calls:
163.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v)))))))) (- 1 (* v v))))
34.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v))))))))
9.0ms
(sqrt (* 3 (* v v)))
9.0ms
(sqrt (* 3 (* v v)))

series1.7s

Counts
4 → 12
Calls
4 calls:
1.2s
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v)))))))) (- 1 (* v v))))
407.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* (sqrt (* 3 (* v v))) (sqrt (* 3 (* v v))))))))
54.0ms
(sqrt (* 3 (* v v)))
43.0ms
(sqrt (* 3 (* v v)))

simplify3.0s

Counts
97 → 97
Iterations
IterNodes
done5086
23674
1680
0218

prune597.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes358.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done48
148
033

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.2s8001×body80valid
1.6s8045×body80nan