Details

Time bar (total: 26.1s)

sample88.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
27.0ms237×body80nan

simplify3.3s

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

prune5.0ms

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))))))

rewrite203.0ms

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:
13.0ms
(* 3.0 (* v v))
127.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
5.0ms
(* PI t)
54.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
891.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
22.0ms
(* PI t)
282.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.6s

Counts
114 → 114
Iterations
IterNodes
done5000
24099
1822
0261

prune763.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
61×sqrt-prod
58×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
36×add-cbrt-cube add-exp-log
18×sqrt-div
16×pow1
15×associate-/r/
13×prod-exp cbrt-unprod
12×associate-/r*
9×cbrt-undiv flip3-- div-exp flip--
8×associate-*r* div-inv
7×associate-*l* pow-prod-down
6×associate-/l*
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×*-commutative
2×unswap-sqr associate-/l/
1×clear-num frac-2neg
Counts
4 → 179
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
180.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
18.0ms
(* PI t)
56.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 3.0 (* v v))
861.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (sqrt (- 1.0 (* 5.0 (* v v))))))
39.0ms
(* PI t)
277.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify3.0s

Counts
191 → 191
Iterations
IterNodes
done5004
24327
11087
0379

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(* PI t)
0.3b
(/ 1 (* PI t))
0.4b
(/ (/ 1 (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
37×add-cbrt-cube
26×div-exp
20×prod-exp
16×add-sqr-sqrt times-frac
14×pow1
13×*-un-lft-identity add-cube-cbrt
12×cbrt-undiv
10×cbrt-unprod associate-/l*
8×associate-*r/ associate-/r/
6×rec-exp flip3-- sqrt-div 1-exp associate-*l* flip--
5×pow-prod-down
4×expm1-log1p-u frac-times associate-*r* log1p-expm1-u div-inv add-log-exp
2×clear-num associate-/r* frac-2neg associate-*l/ *-commutative pow-flip unswap-sqr
1×inv-pow associate-/l/
Counts
4 → 127
Calls
4 calls:
14.0ms
(* 3.0 (* v v))
14.0ms
(* PI t)
11.0ms
(/ 1 (* PI t))
43.0ms
(/ (/ 1 (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 3.0 (* v v))
31.0ms
(* PI t)
33.0ms
(/ 1 (* PI t))
561.0ms
(/ (/ 1 (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify2.2s

Counts
139 → 139
Iterations
IterNodes
done5001
22560
1652
0243

prune724.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) 5.0)
0.1b
(* 3.0 (* v v))
0.4b
(/ (/ 1 PI) t)
0.4b
(/ (/ (/ 1 PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
250×times-frac
120×add-sqr-sqrt
118×*-un-lft-identity add-cube-cbrt
58×add-exp-log
56×associate-/l*
40×add-cbrt-cube
28×div-exp
15×cbrt-undiv
14×pow1 div-inv
11×prod-exp
9×cbrt-unprod
8×associate-*r/ associate-/r/
6×flip3-- sqrt-div pow-prod-down flip--
4×expm1-log1p-u frac-times associate-/r* associate-*r* associate-*l* log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg associate-*l/ *-commutative unswap-sqr associate-/l/
Counts
4 → 240
Calls
4 calls:
31.0ms
(* (* v v) 5.0)
25.0ms
(* 3.0 (* v v))
18.0ms
(/ (/ 1 PI) t)
85.0ms
(/ (/ (/ 1 PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series701.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (* v v) 5.0)
34.0ms
(* 3.0 (* v v))
32.0ms
(/ (/ 1 PI) t)
586.0ms
(/ (/ (/ 1 PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify2.3s

Counts
252 → 252
Iterations
IterNodes
done5009
23102
11126
0437

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes369.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify24.0ms

Iterations
IterNodes
done53
153
036

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s8000×body80valid
1.0s7985×body80nan