Details

Time bar (total: 48.1s)

sample105.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
25.0ms214×body80nan

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
done5000
43410
3751
2158
144
019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite398.0ms

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:
43.0ms
(* 3.0 (* v v))
18.0ms
(* PI t)
250.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
73.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 3.0 (* v v))
28.0ms
(* PI t)
971.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
340.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify6.5s

Counts
110 → 110
Iterations
IterNodes
done5002
23895
1805
0257

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize329.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (- 1.0 (* (* v v) 5.0)) PI) (* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0))))
0.5b
(* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×associate-/l*
9×associate-*l* prod-exp cbrt-unprod
7×pow-prod-down
6×cbrt-undiv div-exp associate-*r*
4×sqrt-div associate-*l/ associate-*r/ insert-posit16 add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- div-sub associate-/r/ flip--
1×clear-num associate-/r* frac-2neg sqrt-prod associate-/l/
Counts
4 → 112
Calls
4 calls:
42.0ms
(* 3.0 (* v v))
42.0ms
(* 3.0 (* v v))
88.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) PI) (* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0))))
70.0ms
(* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 3.0 (* v v))
59.0ms
(* 3.0 (* v v))
588.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) PI) (* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0))))
294.0ms
(* t (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

simplify4.2s

Counts
124 → 124
Iterations
IterNodes
done5006
21982
1595
0228

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize473.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
4×associate-*r* *-commutative insert-posit16 add-log-exp unswap-sqr
Counts
4 → 80
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
39.0ms
(* 3.0 (* v v))
43.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))

series176.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 3.0 (* v v))
44.0ms
(* 3.0 (* v v))
48.0ms
(* 3.0 (* v v))
40.0ms
(* 3.0 (* v v))

simplify4.0s

Counts
92 → 92
Iterations
IterNodes
done5001
31293
2278
194
035

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize262.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.5b
(/ (/ (- 1.0 (* (* v v) 5.0)) PI) t)
0.5b
(/ (/ (/ (- 1.0 (* (* v v) 5.0)) PI) t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
577×times-frac
269×add-sqr-sqrt
267×*-un-lft-identity add-cube-cbrt
56×associate-/l*
44×sqrt-prod
28×add-cbrt-cube add-exp-log
26×div-inv
14×pow1
9×cbrt-undiv div-exp
7×associate-/r*
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×div-sub
4×insert-posit16 add-log-exp
2×clear-num frac-2neg sqrt-div associate-*r* associate-*l/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×flip3-- flip--
Counts
4 → 352
Calls
4 calls:
43.0ms
(* 3.0 (* v v))
28.0ms
(* 3.0 (* v v))
27.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) PI) t)
80.0ms
(/ (/ (/ (- 1.0 (* (* v v) 5.0)) PI) t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 3.0 (* v v))
59.0ms
(* 3.0 (* v v))
196.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) PI) t)
578.0ms
(/ (/ (/ (- 1.0 (* (* v v) 5.0)) PI) t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

simplify6.5s

Counts
364 → 364
Iterations
IterNodes
done5005
24080
11438
0632

prune6.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes791.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify53.0ms

Iterations
IterNodes
done61
161
043

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s8077×body80nan
997.0ms8000×body80valid