Details

Time bar (total: 38.5s)

sample117.0ms

Algorithm
intervals
Results
41.0ms341×body80nan
32.0ms256×body80valid

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5001
43368
3750
2158
144
019

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite392.0ms

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:
37.0ms
(* 3.0 (* v v))
14.0ms
(* PI t)
247.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
84.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 3.0 (* v v))
45.0ms
(* PI t)
1.1s
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
370.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify4.0s

Counts
106 → 106
Iterations
IterNodes
done5013
23620
1766
0250

prune987.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down sqrt-prod
6×times-frac sqrt-div associate-/l*
4×add-log-exp
3×cbrt-undiv flip3-- div-exp *-commutative flip--
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
38.0ms
(* 3.0 (* v v))
15.0ms
(* PI t)
78.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
81.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
56.0ms
(* 3.0 (* v v))
32.0ms
(* PI t)
766.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
349.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.7s

Counts
103 → 103
Iterations
IterNodes
done5036
22100
1548
0208

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.2b
(* t PI)
0.3b
(/ 1 (* t PI))
0.5b
(* (/ 1 (* t PI)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
1.0b
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
56×times-frac
52×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
41×sqrt-prod
34×add-cbrt-cube
33×associate-*r*
24×prod-exp
20×div-exp
11×pow1
10×cbrt-undiv associate-*l* cbrt-unprod
9×associate-/l*
6×rec-exp sqrt-div 1-exp
5×associate-*r/ associate-/r*
4×associate-/r/ div-inv add-log-exp unswap-sqr
3×flip3-- pow-prod-down flip--
2×pow-flip frac-2neg clear-num *-commutative associate-/l/
1×frac-times sqrt-undiv associate-*l/ inv-pow
Counts
4 → 169
Calls
4 calls:
13.0ms
(* t PI)
22.0ms
(/ 1 (* t PI))
145.0ms
(* (/ 1 (* t PI)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
38.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* t PI)
55.0ms
(/ 1 (* t PI))
702.0ms
(* (/ 1 (* t PI)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
568.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify3.9s

Counts
181 → 181
Iterations
IterNodes
done5000
22867
1795
0293

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize147.0ms

Local error

Found 4 expressions with local error:

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

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
122×add-sqr-sqrt
120×add-cube-cbrt *-un-lft-identity
94×sqrt-prod
42×sqrt-div associate-/l*
40×associate-*l/ associate-/r/
21×add-exp-log add-cbrt-cube
20×frac-times
16×flip3-- flip--
15×flip3-+ flip-+
14×pow1
10×associate-*r/
7×associate-/r*
6×associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×frac-2neg associate-*r* clear-num *-commutative unswap-sqr
1×sqrt-undiv
Counts
4 → 257
Calls
4 calls:
60.0ms
(* 3.0 (* v v))
66.0ms
(* 3.0 (* v v))
86.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* (+ 1.0 (* 3.0 (* v v))) (* (- 1.0 (* 3.0 (* v v))) 2.0))))
141.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* (+ 1.0 (* 3.0 (* v v))) (* (- 1.0 (* 3.0 (* v v))) 2.0)))) PI)

series1.4s

Counts
4 → 12
Calls
4 calls:
60.0ms
(* 3.0 (* v v))
53.0ms
(* 3.0 (* v v))
601.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* (+ 1.0 (* 3.0 (* v v))) (* (- 1.0 (* 3.0 (* v v))) 2.0))))
687.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (* (+ 1.0 (* 3.0 (* v v))) (* (- 1.0 (* 3.0 (* v v))) 2.0)))) PI)

simplify4.1s

Counts
269 → 269
Iterations
IterNodes
done5013
23378
11145
0480

prune3.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done32
132
025

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.7s7943×body80nan
1.4s8000×body80valid