Details

Time bar (total: 28.0s)

sample92.0ms

Algorithm
intervals
Results
31.0ms256×body80valid
25.0ms216×body80nan

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
44048
3819
2163
144
019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 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))))))

rewrite181.0ms

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 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 → 94
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
10.0ms
(* PI t)
112.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
31.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
22.0ms
(* PI t)
803.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
270.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.1s

Counts
106 → 106
Iterations
IterNodes
done5001
1807
0253

prune671.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

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
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv div-exp associate-*r*
4×sqrt-div 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 → 108
Calls
4 calls:
13.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))
48.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
54.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

series839.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 3.0 (* v v))
41.0ms
(* 3.0 (* v v))
536.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
223.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

simplify2.1s

Counts
120 → 120
Iterations
IterNodes
done5001
23032
1603
0225

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize157.0ms

Local error

Found 4 expressions with local error:

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

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
158×add-sqr-sqrt
130×*-un-lft-identity
127×add-cube-cbrt
79×associate-*r*
65×associate-*r/
64×sqrt-div associate-/r/
55×add-exp-log
37×add-cbrt-cube
33×frac-times
27×associate-/l*
25×flip3-- sqrt-prod flip--
24×flip3-+ flip-+
22×div-exp
17×associate-*l/
15×prod-exp
14×associate-*l*
13×cbrt-undiv
11×pow1 div-inv
10×unswap-sqr
9×cbrt-unprod
7×associate-/r*
4×pow-prod-down add-log-exp
3×rec-exp 1-exp div-sub associate-/l/
2×clear-num frac-2neg *-commutative
Counts
4 → 304
Calls
4 calls:
27.0ms
(* (* v v) 5.0)
175.0ms
(* (/ 1 t) (/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v)))))) PI))
59.0ms
(/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v))))))
91.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v)))))) PI)

series1.4s

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (* v v) 5.0)
604.0ms
(* (/ 1 t) (/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v)))))) PI))
345.0ms
(/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v))))))
401.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v)))))) PI)

simplify2.2s

Counts
316 → 316
Iterations
IterNodes
done5000
11780
0566

prune3.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
74×add-sqr-sqrt
72×*-un-lft-identity add-cube-cbrt
40×sqrt-div associate-*r/ associate-/r/
27×associate-/l*
21×add-cbrt-cube add-exp-log
20×frac-times
16×flip3-- sqrt-prod flip--
15×flip3-+ flip-+
14×pow1
10×associate-*l/
7×associate-/r*
6×pow-prod-down prod-exp cbrt-unprod div-inv
4×cbrt-undiv div-exp associate-*r* associate-*l* add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg *-commutative unswap-sqr
Counts
4 → 195
Calls
4 calls:
13.0ms
(* 3.0 (* v v))
14.0ms
(* (* v v) 5.0)
62.0ms
(/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v))))))
78.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v)))))) PI)

series856.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 3.0 (* v v))
39.0ms
(* (* v v) 5.0)
383.0ms
(/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v))))))
398.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (sqrt (* (* 2.0 (+ 1.0 (* 3.0 (* v v)))) (- 1.0 (* 3.0 (* v v)))))) PI)

simplify2.2s

Counts
207 → 207
Iterations
IterNodes
done5000
11087
0419

prune2.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done50
250
149
034

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s8000×body80valid
1.0s8232×body80nan