Details

Time bar (total: 25.5s)

sample52.0ms

Algorithm
intervals
Results
17.0ms279×body80nan
16.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5001
43490
3771
2158
144
019

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize62.0ms

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))))))

rewrite247.0ms

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×expm1-log1p-u frac-times cbrt-undiv div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
11.0ms
(* PI t)
151.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
53.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
35.0ms
(* PI t)
862.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
266.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.7s

Counts
114 → 114
Iterations
IterNodes
done5133
23981
1825
0261

prune914.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite370.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube associate-*r/ add-exp-log
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity sqrt-div add-cube-cbrt
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×expm1-log1p-u frac-times cbrt-undiv div-exp log1p-expm1-u 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 → 104
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
230.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
81.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
30.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 3.0 (* v v))
849.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
263.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
214.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify3.3s

Counts
116 → 116
Iterations
IterNodes
done5004
24004
1860
0275

prune835.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
122×pow1
36×pow-prod-up
35×add-cbrt-cube add-exp-log
31×times-frac
27×pow-prod-down
23×add-sqr-sqrt
22×pow-sqr
21×*-un-lft-identity add-cube-cbrt
18×pow-plus
14×prod-exp cbrt-unprod
13×pow2 associate-/l*
7×associate-*r*
6×cbrt-undiv div-exp associate-*l*
4×expm1-log1p-u sqrt-div associate-*l/ associate-*r/ log1p-expm1-u add-log-exp
3×*-commutative div-inv
2×flip3-- div-sub associate-/r/ flip-- unswap-sqr
1×clear-num associate-/r* frac-2neg swap-sqr sqrt-prod associate-/l/
Counts
4 → 159
Calls
4 calls:
39.0ms
(* (* v v) (* v v))
14.0ms
(* (* 3.0 v) v)
56.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- 1.0 (* (* 3.0 v) v)))) t))
29.0ms
(* (sqrt (* 2.0 (- 1.0 (* (* 3.0 v) v)))) t)

series1.3s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* v v) (* v v))
30.0ms
(* (* 3.0 v) v)
764.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* 2.0 (- 1.0 (* (* 3.0 v) v)))) t))
457.0ms
(* (sqrt (* 2.0 (- 1.0 (* (* 3.0 v) v)))) t)

simplify2.0s

Counts
171 → 171
Iterations
IterNodes
done5116
22941
1837
0307

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
385×pow1
152×pow-prod-up
102×pow-prod-down
62×add-cbrt-cube add-exp-log
52×pow-sqr
41×prod-exp cbrt-unprod
39×pow-plus
28×pow2
14×cube-unmult
7×add-sqr-sqrt
6×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×swap-sqr unswap-sqr
Counts
4 → 207
Calls
4 calls:
112.0ms
(* (* v (* v v)) (* v (* v v)))
14.0ms
(* 5.0 (* v v))
36.0ms
(* (* v v) (* v v))
28.0ms
(* (* 3.0 v) v)

series219.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* v (* v v)) (* v (* v v)))
47.0ms
(* 5.0 (* v v))
43.0ms
(* (* v v) (* v v))
49.0ms
(* (* 3.0 v) v)

simplify1.7s

Counts
219 → 219
Iterations
IterNodes
done5000
21346
1472
0164

prune886.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done39
139
029

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s8179×body80nan
994.0ms8000×body80valid