Details

Time bar (total: 25.7s)

sample95.0ms

Algorithm
intervals
Results
35.0ms249×body80nan
32.0ms257×body80valid

simplify3.5s

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

localize58.0ms

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))))))

rewrite184.0ms

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
flip3-- sqrt-div associate-*r* associate-/r/ flip--
associate-*l* pow-prod-down
frac-times cbrt-undiv div-exp insert-posit16 add-log-exp
times-frac *-commutative associate-/l*
associate-*l/ unswap-sqr associate-/l/
clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 98
Calls
4 calls:
14.0ms
(* 3 (* v v))
5.0ms
(* PI t)
123.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
40.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series918.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 3 (* v v))
28.0ms
(* PI t)
599.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
243.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify2.6s

Counts
110 → 110
Iterations
IterNodes
done5008
23466
1722
0233

prune687.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize144.0ms

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)))

rewrite93.0ms

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
cbrt-undiv div-exp
sqrt-div associate-*l* associate-*l/ prod-exp associate-/r/ cbrt-unprod
associate-/r*
flip3-- associate-*r* pow-prod-down insert-posit16 div-inv flip-- add-log-exp
div-sub associate-/l/
clear-num frac-2neg *-commutative
unswap-sqr
Counts
4 → 133
Calls
4 calls:
13.0ms
(* v (* v 5))
5.0ms
(* PI t)
38.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
34.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

series992.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* v (* v 5))
30.0ms
(* PI t)
500.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
422.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

simplify2.6s

Counts
145 → 145
Iterations
IterNodes
done5007
22663
1717
0276

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

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)

rewrite97.0ms

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*
*-un-lft-identity add-cube-cbrt
associate-*r*
*-commutative insert-posit16 add-log-exp
unswap-sqr
Counts
4 → 79
Calls
4 calls:
28.0ms
(* 3 (* v v))
27.0ms
(* 3 (* v v))
25.0ms
(* 3 (* v v))
15.0ms
(* (* 5 v) v)

series169.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 3 (* v v))
47.0ms
(* 3 (* v v))
33.0ms
(* 3 (* v v))
37.0ms
(* (* 5 v) v)

simplify2.4s

Counts
91 → 91
Iterations
IterNodes
done5001
32400
2566
1176
066

prune766.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
15×add-sqr-sqrt
13×prod-exp cbrt-unprod
11×*-un-lft-identity add-cube-cbrt
10×associate-*l*
flip3-- sqrt-div associate-*r* associate-/r/ flip--
pow-prod-down
sqrt-prod
frac-times cbrt-undiv div-exp insert-posit16 add-log-exp
times-frac *-commutative associate-/l* unswap-sqr
associate-*l/ associate-/l/
clear-num associate-/r* frac-2neg div-sub div-inv
Counts
4 → 102
Calls
4 calls:
32.0ms
(* (sqrt 3) (* v v))
11.0ms
(* PI t)
108.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* (sqrt 3) (* (sqrt 3) (* v v))))))) (- 1 (* v v))))
57.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* (sqrt 3) (* (sqrt 3) (* v v)))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (sqrt 3) (* v v))
36.0ms
(* PI t)
1.3s
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* (sqrt 3) (* (sqrt 3) (* v v))))))) (- 1 (* v v))))
409.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* (sqrt 3) (* (sqrt 3) (* v v)))))))

simplify2.9s

Counts
114 → 114
Iterations
IterNodes
done5039
23850
1777
0253

prune707.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations
IterNodes
done48
148
033

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s8001×body80valid
977.0ms8045×body80nan