Details

Time bar (total: 26.7s)

sample103.0ms

Algorithm
intervals
Results
41.0ms237×body80nan
27.0ms256×body80valid

simplify3.3s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite272.0ms

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:
14.0ms
(* 3.0 (* v v))
178.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
10.0ms
(* PI t)
67.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 3.0 (* v v))
859.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
24.0ms
(* PI t)
275.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.5s

Counts
106 → 106
Iterations
IterNodes
done5022
23807
1794
0253

prune811.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 v) v)
0.2b
(* v (* 5.0 v))
0.4b
(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) t)
0.5b
(/ (/ (- 1.0 (* v (* 5.0 v))) PI) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) t))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×associate-/l*
9×prod-exp cbrt-unprod
8×associate-*l*
7×associate-*r* pow-prod-down
6×cbrt-undiv div-exp
4×sqrt-div associate-*l/ associate-*r/ add-log-exp
3×*-commutative div-inv
2×flip3-- div-sub associate-/r/ flip--
1×clear-num associate-/r* frac-2neg sqrt-prod unswap-sqr associate-/l/
Counts
4 → 106
Calls
4 calls:
26.0ms
(* (* 3.0 v) v)
25.0ms
(* v (* 5.0 v))
57.0ms
(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) t)
70.0ms
(/ (/ (- 1.0 (* v (* 5.0 v))) PI) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) t))

series749.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* 3.0 v) v)
36.0ms
(* v (* 5.0 v))
198.0ms
(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) t)
480.0ms
(/ (/ (- 1.0 (* v (* 5.0 v))) PI) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) t))

simplify2.5s

Counts
118 → 118
Iterations
IterNodes
done5002
22169
1659
0250

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize158.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.1b
(* (* 3.0 v) v)
0.1b
(* (* 3.0 v) v)
0.2b
(* v (* 5.0 v))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×pow-prod-down prod-exp cbrt-unprod
9×add-sqr-sqrt
8×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×*-commutative add-log-exp
1×unswap-sqr
Counts
4 → 73
Calls
4 calls:
13.0ms
(* 3.0 (* v v))
18.0ms
(* (* 3.0 v) v)
20.0ms
(* (* 3.0 v) v)
14.0ms
(* v (* 5.0 v))

series191.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 3.0 (* v v))
49.0ms
(* (* 3.0 v) v)
50.0ms
(* (* 3.0 v) v)
42.0ms
(* v (* 5.0 v))

simplify2.8s

Counts
85 → 85
Iterations
IterNodes
done5000
32767
2685
1220
084

prune690.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize135.0ms

Local error

Found 4 expressions with local error:

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

rewrite767.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
34×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
25×add-cbrt-cube add-exp-log
21×associate-/l*
11×pow1
10×sqrt-prod
7×cbrt-undiv div-exp
6×sqrt-div associate-*l* prod-exp associate-*r/ associate-/r/ cbrt-unprod
5×associate-/r*
4×flip3-- associate-*r* pow-prod-down div-inv flip-- add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg *-commutative
1×unswap-sqr
Counts
4 → 129
Calls
4 calls:
12.0ms
(* v (* 5.0 v))
5.0ms
(* PI t)
384.0ms
(/ (/ (- 1.0 (* v (* 5.0 v))) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 v) v) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))))) (* PI t))
359.0ms
(/ (- 1.0 (* v (* 5.0 v))) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 v) v) (* (* (* 3.0 v) v) (* (* 3.0 v) v)))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
55.0ms
(* v (* 5.0 v))
42.0ms
(* PI t)
508.0ms
(/ (/ (- 1.0 (* v (* 5.0 v))) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 v) v) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))))) (* PI t))
447.0ms
(/ (- 1.0 (* v (* 5.0 v))) (sqrt (* 2.0 (- (* (* 1.0 1.0) 1.0) (* (* (* 3.0 v) v) (* (* (* 3.0 v) v) (* (* 3.0 v) v)))))))

simplify2.9s

Counts
141 → 141
Iterations
IterNodes
done5028
22698
1749
0284

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done48
148
034

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.3s7985×body80nan
1.2s8000×body80valid