Details

Time bar (total: 32.8s)

sample99.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
29.0ms226×body80nan

simplify3.2s

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

localize52.0ms

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

rewrite238.0ms

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:
15.0ms
(* 3.0 (* v v))
9.0ms
(* PI t)
172.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
38.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
46.0ms
(* PI t)
857.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
305.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.8s

Counts
106 → 106
Iterations
IterNodes
done5066
23843
1792
0253

prune740.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

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) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
0.5b
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)

rewrite2.8s

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*
10×associate-*l*
9×prod-exp cbrt-unprod
7×pow-prod-down
6×cbrt-undiv div-exp
5×associate-*r*
4×sqrt-div associate-*l/ associate-*r/ 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:
15.0ms
(* 3.0 (* v v))
14.0ms
(* 3.0 (* v v))
1.4s
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
1.4s
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)

series641.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 3.0 (* v v))
49.0ms
(* 3.0 (* v v))
405.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t))
150.0ms
(* (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))) t)

simplify2.9s

Counts
120 → 120
Iterations
IterNodes
done5000
22047
1586
0225

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize106.0ms

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))

rewrite82.0ms

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 add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
14.0ms
(* 3.0 (* v v))
27.0ms
(* 3.0 (* v v))
20.0ms
(* 3.0 (* v v))
19.0ms
(* 3.0 (* v v))

series126.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 3.0 (* v v))
30.0ms
(* 3.0 (* v v))
28.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))

simplify2.6s

Counts
88 → 88
Iterations
IterNodes
done5000
31257
2278
188
034

prune719.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (/ 1 (sqrt PI)) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v))))))) (/ (- 1.0 (* (* v v) 5.0)) (* t (sqrt PI))))
1.0b
(/ (/ 1 (sqrt PI)) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
350×times-frac
192×add-sqr-sqrt
173×*-un-lft-identity
171×add-cube-cbrt
134×sqrt-prod
94×associate-*l*
73×add-exp-log
45×add-cbrt-cube
34×div-exp
22×associate-/l*
20×prod-exp
18×cbrt-undiv
12×cbrt-unprod div-inv
8×pow1
7×associate-*r*
6×unswap-sqr
5×associate-*r/
4×rec-exp associate-/r* sqrt-div 1-exp associate-/r/ add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 302
Calls
4 calls:
1.4s
(* (/ (/ 1 (sqrt PI)) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v))))))) (/ (- 1.0 (* (* v v) 5.0)) (* t (sqrt PI))))
337.0ms
(/ (/ 1 (sqrt PI)) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series1.9s

Counts
4 → 8
Calls
4 calls:
454.0ms
(* (/ (/ 1 (sqrt PI)) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v))))))) (/ (- 1.0 (* (* v v) 5.0)) (* t (sqrt PI))))
1.5s
(/ (/ 1 (sqrt PI)) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 (* v v)) (* 3.0 (* v v))) (* 3.0 (* v v)))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify2.3s

Counts
310 → 310
Iterations
IterNodes
done5000
11473
0491

prune3.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes304.0ms

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
done45
145
032

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s8090×body80nan
1.1s8000×body80valid