Details

Time bar (total: 22.3s)

sample107.0ms

Algorithm
intervals
Results
38.0ms216×body80nan
32.0ms256×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5001
44150
3839
2163
144
019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize45.0ms

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))))))

rewrite270.0ms

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:
27.0ms
(* 5.0 (* v v))
11.0ms
(* PI t)
186.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
39.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 5.0 (* v v))
30.0ms
(* PI t)
846.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
282.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.5s

Counts
114 → 114
Iterations
IterNodes
done5001
1829
0261

prune921.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize127.0ms

Local error

Found 4 expressions with local error:

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

rewrite688.0ms

Algorithm
rewrite-expression-head
Rules
48×associate-*r/
28×add-cbrt-cube add-exp-log
19×pow1
16×sqrt-div
12×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×*-un-lft-identity pow-prod-down add-cube-cbrt
8×frac-times associate-/r/
7×flip3-- associate-*l* flip--
6×flip3-+ flip-+
5×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub div-inv
Counts
4 → 106
Calls
4 calls:
30.0ms
(* (* v v) 3.0)
21.0ms
(* 3.0 (* v v))
334.0ms
(* t (* PI (sqrt (* (* 2.0 (+ 1.0 (* (* v v) 3.0))) (- 1.0 (* (* v v) 3.0))))))
295.0ms
(/ (- 1.0 (* v (* 5.0 v))) (* t (* PI (sqrt (* (* 2.0 (+ 1.0 (* (* v v) 3.0))) (- 1.0 (* (* v v) 3.0)))))))

series982.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* v v) 3.0)
48.0ms
(* 3.0 (* v v))
329.0ms
(* t (* PI (sqrt (* (* 2.0 (+ 1.0 (* (* v v) 3.0))) (- 1.0 (* (* v v) 3.0))))))
559.0ms
(/ (- 1.0 (* v (* 5.0 v))) (* t (* PI (sqrt (* (* 2.0 (+ 1.0 (* (* v v) 3.0))) (- 1.0 (* (* v v) 3.0)))))))

simplify3.1s

Counts
118 → 118
Iterations
IterNodes
done5000
23885
1656
0229

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize106.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
8×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×unswap-sqr
Counts
4 → 83
Calls
4 calls:
14.0ms
(* v (* 5.0 v))
26.0ms
(* (* v v) 3.0)
31.0ms
(* (* v v) 3.0)
15.0ms
(* 3.0 (* v v))

series131.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* v (* 5.0 v))
28.0ms
(* (* v v) 3.0)
47.0ms
(* (* v v) 3.0)
28.0ms
(* 3.0 (* v v))

simplify1.2s

Counts
95 → 95
Iterations
IterNodes
done5000
21490
1227
087

prune851.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 3.0)
0.2b
(* (* v v) 3.0)
0.2b
(* 3.0 (* v v))
3.4b
(log (exp (* 3.0 (* v v))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
19×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
9×pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
7×associate-*r*
5×associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×log-prod log-pow *-commutative unswap-sqr
1×exp-prod exp-to-pow rem-log-exp
Counts
4 → 79
Calls
4 calls:
23.0ms
(* (* v v) 3.0)
16.0ms
(* (* v v) 3.0)
25.0ms
(* 3.0 (* v v))
5.0ms
(log (exp (* 3.0 (* v v))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* v v) 3.0)
32.0ms
(* (* v v) 3.0)
43.0ms
(* 3.0 (* v v))
44.0ms
(log (exp (* 3.0 (* v v))))

simplify1.2s

Counts
91 → 91
Iterations
IterNodes
done5000
21279
1187
076

prune923.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes484.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify30.0ms

Iterations
IterNodes
done55
255
154
038

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8000×body80valid
929.0ms8232×body80nan