Details

Time bar (total: 30.1s)

sample121.0ms

Algorithm
intervals
Results
51.0ms256×body80valid
45.0ms239×body80nan

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

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.4b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite253.0ms

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)
149.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
64.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series973.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3 (* v v))
38.0ms
(* PI t)
622.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
283.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify2.6s

Counts
110 → 110
Iterations
IterNodes
done5008
23466
1722
0233

prune617.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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-*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 unswap-sqr
Counts
4 → 134
Calls
4 calls:
13.0ms
(* 3 (* v v))
5.0ms
(* PI t)
41.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
22.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

series892.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 3 (* v v))
40.0ms
(* PI t)
429.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
387.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

simplify2.7s

Counts
146 → 146
Iterations
IterNodes
done5112
22754
1732
0280

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize163.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))))
1.0b
(sqrt (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))))
1.0b
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))
1.0b
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac sqrt-prod
44×add-sqr-sqrt
38×*-un-lft-identity add-cube-cbrt
10×sqrt-div
8×associate-/r* add-cbrt-cube associate-*l/ add-exp-log associate-/r/
6×pow1 flip3-- flip-- associate-/l*
4×rem-sqrt-square insert-posit16 div-inv add-log-exp associate-/l/
2×cbrt-undiv clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp
Counts
4 → 136
Calls
4 calls:
13.0ms
(sqrt (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))))
13.0ms
(sqrt (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))))
21.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))
18.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

series1.9s

Counts
4 → 12
Calls
4 calls:
600.0ms
(sqrt (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))))
573.0ms
(sqrt (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))))
392.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))
294.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))

simplify2.1s

Counts
148 → 148
Iterations
IterNodes
done5001
21519
1509
0218

prune2.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize184.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 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)))
2.1b
(log (exp (* 3 (* v v))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
34×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
21×associate-/l*
20×add-cbrt-cube add-exp-log
10×sqrt-prod
7×pow1 cbrt-undiv div-exp
6×sqrt-div associate-*l/ associate-/r/
5×associate-/r* add-log-exp
4×flip3-- insert-posit16 div-inv flip--
3×log-prod div-sub associate-*r* associate-*l* prod-exp log-pow cbrt-unprod associate-/l/
2×clear-num frac-2neg
1×exp-prod exp-to-pow rem-log-exp pow-prod-down *-commutative unswap-sqr
Counts
4 → 129
Calls
4 calls:
11.0ms
(* PI t)
47.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
26.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))
4.0ms
(log (exp (* 3 (* v v))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* PI t)
419.0ms
(/ (/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2))) (* PI t))
368.0ms
(/ (- 1 (* v (* v 5))) (sqrt (* (- 1 (* (* 27 (* (* v v) v)) (* (* v v) v))) 2)))
38.0ms
(log (exp (* 3 (* v v))))

simplify3.0s

Counts
141 → 141
Iterations
IterNodes
done5012
22437
1689
0272

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify26.0ms

Iterations
IterNodes
done65
165
044

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.9s8000×body80valid
1.4s8098×body80nan