Details

Time bar (total: 23.5s)

sample112.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
32.0ms271×body80nan

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
14.0ms
(* PI t)
74.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
255.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.4s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 5.0 (* v v))
40.0ms
(* PI t)
339.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
923.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify2.4s

Counts
106 → 106
Iterations

Useful iterations: 2 (749.0ms)

IterNodesCost
02502389
17312232
235651908
done50001908

prune532.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b
(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
2.7b
(log (exp (* 5.0 (* v v))))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
18×associate-*r/
16×add-sqr-sqrt *-un-lft-identity
14×pow1
10×add-cube-cbrt prod-exp cbrt-unprod
8×flip3-- sqrt-div associate-/r/ flip--
7×associate-*r*
6×times-frac associate-/l*
5×log-pow add-log-exp
4×cbrt-undiv frac-times div-exp associate-*l* pow-prod-down distribute-lft-out--
3×log-prod
2×associate-*l/ *-commutative associate-/l/ difference-of-squares
1×exp-prod exp-to-pow frac-2neg div-sub rem-log-exp clear-num associate-/r* sqrt-prod div-inv unswap-sqr
Counts
4 → 95
Calls
4 calls:
13.0ms
(* PI t)
47.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
205.0ms
(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
15.0ms
(log (exp (* 5.0 (* v v))))

series1.3s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* PI t)
294.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
937.0ms
(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
34.0ms
(log (exp (* 5.0 (* v v))))

simplify1.9s

Counts
107 → 107
Iterations

Useful iterations: 2 (790.0ms)

IterNodesCost
02472683
17032400
234632074
done50002074

prune566.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) 5.0)
0.2b
(* t PI)
0.4b
(/ (/ (* (cbrt (- 1.0 (* (* v v) 5.0))) (cbrt (- 1.0 (* (* v v) 5.0)))) (* t PI)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.9b
(/ (* (cbrt (- 1.0 (* (* v v) 5.0))) (cbrt (- 1.0 (* (* v v) 5.0)))) (* t PI))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-cbrt-cube
26×times-frac
21×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp
12×cbrt-div prod-exp cbrt-unprod
11×pow1
9×associate-/l/
7×flip3-- flip-- div-inv
6×associate-*r* sqrt-prod associate-/l*
5×associate-/r*
4×frac-times associate-*r/ associate-*l* pow-prod-down add-log-exp
2×frac-2neg sqrt-div associate-*l/ clear-num associate-/r/ *-commutative unswap-sqr
Counts
4 → 118
Calls
4 calls:
19.0ms
(* (* v v) 5.0)
10.0ms
(* t PI)
31.0ms
(/ (/ (* (cbrt (- 1.0 (* (* v v) 5.0))) (cbrt (- 1.0 (* (* v v) 5.0)))) (* t PI)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
47.0ms
(/ (* (cbrt (- 1.0 (* (* v v) 5.0))) (cbrt (- 1.0 (* (* v v) 5.0)))) (* t PI))

series2.0s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* v v) 5.0)
40.0ms
(* t PI)
1.3s
(/ (/ (* (cbrt (- 1.0 (* (* v v) 5.0))) (cbrt (- 1.0 (* (* v v) 5.0)))) (* t PI)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
605.0ms
(/ (* (cbrt (- 1.0 (* (* v v) 5.0))) (cbrt (- 1.0 (* (* v v) 5.0)))) (* t PI))

simplify1.9s

Counts
130 → 130
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03163963
18523736
235813298
done50013270

prune648.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) 5.0)
0.1b
(* (* v v) 5.0)
0.1b
(* (* v v) 5.0)
0.3b
(* (/ (cbrt (- 1.0 (* (* v v) 5.0))) t) (/ (/ (cbrt (- 1.0 (* (* v v) 5.0))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
201×times-frac
145×add-sqr-sqrt
103×associate-*r*
95×add-cube-cbrt *-un-lft-identity
52×cbrt-prod
40×add-exp-log
35×add-cbrt-cube
25×associate-*l*
22×sqrt-prod
21×pow1
15×prod-exp cbrt-unprod unswap-sqr
10×pow-prod-down
9×cbrt-undiv div-exp
6×div-inv
4×*-commutative add-log-exp
3×associate-*r/
2×sqrt-div associate-/r/
1×frac-times flip3-- associate-*l/ flip--
Counts
4 → 209
Calls
4 calls:
20.0ms
(* (* v v) 5.0)
22.0ms
(* (* v v) 5.0)
30.0ms
(* (* v v) 5.0)
173.0ms
(* (/ (cbrt (- 1.0 (* (* v v) 5.0))) t) (/ (/ (cbrt (- 1.0 (* (* v v) 5.0))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* v v) 5.0)
27.0ms
(* (* v v) 5.0)
32.0ms
(* (* v v) 5.0)
1.3s
(* (/ (cbrt (- 1.0 (* (* v v) 5.0))) t) (/ (/ (cbrt (- 1.0 (* (* v v) 5.0))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify796.0ms

Counts
221 → 221
Iterations

Useful iterations: done (785.0ms)

IterNodesCost
04626709
114466452
done50016057

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02247
12747
done2747

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.3s8000×body80valid
932.0ms8045×body80nan