Details

Time bar (total: 31.5s)

sample66.0ms

Algorithm
intervals
Results
20.0ms294×body80nan
19.0ms256×body80valid

simplify3.4s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

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:
14.0ms
(* 5.0 (* v v))
5.0ms
(* PI t)
54.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
144.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.2s

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 5.0 (* v v))
35.0ms
(* PI t)
310.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
854.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify3.1s

Counts
114 → 114
Iterations
IterNodes
done5000
24046
1818
0261

prune824.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize92.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
16×add-sqr-sqrt times-frac
13×*-un-lft-identity add-cube-cbrt
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*r*
4×expm1-log1p-u frac-times associate-*l* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×clear-num associate-/r* frac-2neg associate-*l/ *-commutative unswap-sqr
Counts
4 → 116
Calls
4 calls:
15.0ms
(* (* v v) 5.0)
6.0ms
(* t PI)
14.0ms
(/ (- 1.0 (* (* v v) 5.0)) (* t PI))
203.0ms
(/ (/ (- 1.0 (* (* v v) 5.0)) (* t PI)) (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* v v) 5.0)
34.0ms
(* t PI)
126.0ms
(/ (- 1.0 (* (* v v) 5.0)) (* t PI))
1.2s
(/ (/ (- 1.0 (* (* v v) 5.0)) (* t PI)) (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))

simplify3.1s

Counts
128 → 128
Iterations
IterNodes
done5058
23501
1797
0272

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b
(* t PI)
0.4b
(/ (/ 1.0 PI) t)
0.5b
(/ (- (/ (/ 1.0 PI) t) (/ (* (* 5.0 v) v) (* t PI))) (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))
6.7b
(/ (* (* 5.0 v) v) (* t PI))

rewrite481.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
70×add-sqr-sqrt
54×*-un-lft-identity
50×add-cube-cbrt
37×add-cbrt-cube add-exp-log
21×associate-/l*
11×cbrt-undiv div-exp prod-exp cbrt-unprod
8×associate-*r/ associate-/r/
7×flip3-- div-inv flip--
6×pow1 sqrt-div difference-of-squares
5×associate-/r*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp associate-/l/
3×clear-num frac-2neg associate-*r* associate-*l*
2×associate-*l/ distribute-lft-out--
1×div-sub pow-prod-down *-commutative frac-sub unswap-sqr
Counts
4 → 162
Calls
4 calls:
10.0ms
(* t PI)
18.0ms
(/ (/ 1.0 PI) t)
420.0ms
(/ (- (/ (/ 1.0 PI) t) (/ (* (* 5.0 v) v) (* t PI))) (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))
18.0ms
(/ (* (* 5.0 v) v) (* t PI))

series875.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* t PI)
54.0ms
(/ (/ 1.0 PI) t)
728.0ms
(/ (- (/ (/ 1.0 PI) t) (/ (* (* 5.0 v) v) (* t PI))) (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))))
66.0ms
(/ (* (* 5.0 v) v) (* t PI))

simplify2.8s

Counts
174 → 174
Iterations
IterNodes
done5000
24887
11053
0376

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.2b
(* (* v v) 3.0)
0.2b
(* (* v v) 5.0)
0.3b
(/ (/ 1 t) (/ (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) (/ (- 1.0 (* (* v v) 5.0)) PI)))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
713×times-frac
253×add-sqr-sqrt
251×*-un-lft-identity add-cube-cbrt
125×pow1
103×add-exp-log
67×add-cbrt-cube
54×div-exp
48×div-inv
36×pow-prod-up
29×pow-prod-down
27×cbrt-undiv
22×prod-exp pow-sqr
18×associate-/r* pow-plus cbrt-unprod
15×associate-/r/
13×pow2 associate-/l*
7×associate-*r*
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* *-commutative unswap-sqr
1×clear-num frac-2neg swap-sqr associate-/l/
Counts
4 → 416
Calls
4 calls:
37.0ms
(* (* v v) (* v v))
15.0ms
(* (* v v) 3.0)
15.0ms
(* (* v v) 5.0)
207.0ms
(/ (/ 1 t) (/ (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) (/ (- 1.0 (* (* v v) 5.0)) PI)))

series883.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* v v) (* v v))
40.0ms
(* (* v v) 3.0)
28.0ms
(* (* v v) 5.0)
753.0ms
(/ (/ 1 t) (/ (* (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))) (- (* (* 1.0 1.0) 1.0) (* (* (* v v) (* v v)) (* v v)))) (/ (- 1.0 (* (* v v) 5.0)) PI)))

simplify2.5s

Counts
428 → 428
Iterations
IterNodes
done5000
12400
0751

prune3.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes538.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify15.0ms

Iterations
IterNodes
done42
142
030

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s8105×body80nan
1.1s8000×body80valid