Details

Time bar (total: 22.1s)

sample145.0ms

Algorithm
intervals
Results
70.0ms267×body80nan
51.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2048
42048
3827
2162
146
019

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite215.0ms

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 insert-posit16 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 → 98
Calls
4 calls:
16.0ms
(* 5 (* v v))
5.0ms
(* PI t)
138.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
54.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series951.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 5 (* v v))
27.0ms
(* PI t)
594.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
279.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.1s

Counts
110 → 110
Iterations
IterNodes
done2003
22003
1717
0233

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5 (* v v))
0.3b
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
0.3b
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
0.4b
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite384.0ms

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×frac-times cbrt-undiv div-exp insert-posit16 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 → 100
Calls
4 calls:
25.0ms
(* 5 (* v v))
249.0ms
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
74.0ms
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
34.0ms
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 5 (* v v))
636.0ms
(/ (- 1 (* 5 (* v v))) (* (* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v))))
237.0ms
(* PI (* t (sqrt (* 2 (- 1 (* 3 (* v v)))))))
189.0ms
(* t (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.2s

Counts
112 → 112
Iterations
IterNodes
done2001
22001
1726
0238

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt 2) PI) t)
0.3b
(/ (/ 1 t) (* (sqrt 2) PI))
2.4b
(/ (* 53/8 (* (* v v) (* v v))) (* (* (sqrt 2) PI) t))
7.3b
(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
160×add-exp-log
150×add-cbrt-cube
82×prod-exp
80×cbrt-unprod
39×div-exp
33×cbrt-undiv times-frac
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×associate-/l*
9×pow1
5×div-inv
4×insert-posit16 add-log-exp
3×clear-num associate-/r* frac-2neg associate-*r* pow-prod-down
2×rec-exp 1-exp
1×associate-*l* *-commutative associate-/l/
Counts
4 → 152
Calls
4 calls:
20.0ms
(* (* (sqrt 2) PI) t)
22.0ms
(/ (/ 1 t) (* (sqrt 2) PI))
113.0ms
(/ (* 53/8 (* (* v v) (* v v))) (* (* (sqrt 2) PI) t))
38.0ms
(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))

series550.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* (sqrt 2) PI) t)
114.0ms
(/ (/ 1 t) (* (sqrt 2) PI))
174.0ms
(/ (* 53/8 (* (* v v) (* v v))) (* (* (sqrt 2) PI) t))
158.0ms
(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))

simplify964.0ms

Counts
164 → 164
Iterations
IterNodes
done2017
22017
1877
0277

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt 2) PI) t)
0.3b
(/ 1 (* (* (sqrt 2) PI) t))
2.4b
(/ (* 53/8 (* (* v v) (* v v))) (* (* (sqrt 2) PI) t))
7.3b
(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
159×add-exp-log
147×add-cbrt-cube
87×prod-exp
81×cbrt-unprod
33×div-exp
30×cbrt-undiv
15×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-prod-down
5×times-frac associate-/l*
4×insert-posit16 add-log-exp
3×rec-exp clear-num associate-/r* frac-2neg 1-exp associate-*r* div-inv pow-flip
1×associate-*l* *-commutative inv-pow
Counts
4 → 135
Calls
4 calls:
36.0ms
(* (* (sqrt 2) PI) t)
63.0ms
(/ 1 (* (* (sqrt 2) PI) t))
103.0ms
(/ (* 53/8 (* (* v v) (* v v))) (* (* (sqrt 2) PI) t))
52.0ms
(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))

series635.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* (sqrt 2) PI) t)
128.0ms
(/ 1 (* (* (sqrt 2) PI) t))
194.0ms
(/ (* 53/8 (* (* v v) (* v v))) (* (* (sqrt 2) PI) t))
192.0ms
(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))

simplify1.0s

Counts
147 → 147
Iterations
IterNodes
done2006
22006
1742
0222

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.1s8000×body80valid
1.8s8217×body80nan