Details

Time bar (total: 25.1s)

sample71.0ms

Algorithm
intervals
Results
34.0ms294×body80nan
17.0ms256×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
44048
3819
2163
144
019

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize57.0ms

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))))

rewrite210.0ms

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 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 → 94
Calls
4 calls:
15.0ms
(* 5.0 (* v v))
10.0ms
(* PI t)
51.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
131.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.3s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 5.0 (* v v))
37.0ms
(* PI t)
287.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
883.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify1.3s

Counts
106 → 106
Iterations
IterNodes
done5001
1807
0253

prune844.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) t)
0.6b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) t))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×associate-/l*
10×associate-*l*
9×prod-exp cbrt-unprod
8×associate-*l/
7×pow-prod-down
6×cbrt-undiv div-exp
5×associate-*r*
4×sqrt-div add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- div-sub associate-/r/ flip--
1×clear-num associate-/r* frac-2neg sqrt-prod associate-/l/
Counts
4 → 108
Calls
4 calls:
13.0ms
(* 3.0 (* v v))
13.0ms
(* 5.0 (* v v))
47.0ms
(* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) t)
37.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) t))

series1.2s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 3.0 (* v v))
41.0ms
(* 5.0 (* v v))
390.0ms
(* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) t)
709.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (sqrt (* (- 1.0 (* 3.0 (* v v))) 2.0)) t))

simplify2.5s

Counts
120 → 120
Iterations
IterNodes
done5000
24193
1786
0282

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
236×pow1
72×pow-prod-up
52×pow-prod-down
44×pow-sqr
38×add-cbrt-cube add-exp-log
36×pow-plus
26×pow2
22×prod-exp cbrt-unprod
8×add-sqr-sqrt associate-*l*
6×*-un-lft-identity add-cube-cbrt
4×associate-*r* *-commutative add-log-exp unswap-sqr
2×swap-sqr
Counts
4 → 164
Calls
4 calls:
47.0ms
(* (* v v) (* v v))
42.0ms
(* (* v v) (* v v))
25.0ms
(* 3.0 (* v v))
27.0ms
(* 5.0 (* v v))

series170.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* v v) (* v v))
35.0ms
(* (* v v) (* v v))
50.0ms
(* 3.0 (* v v))
49.0ms
(* 5.0 (* v v))

simplify1.7s

Counts
176 → 176
Iterations
IterNodes
done5000
21996
1276
090

prune629.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.3b
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.3b
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

rewrite960.0ms

Algorithm
rewrite-expression-head
Rules
100×sqrt-div
86×associate-*r/
40×add-cbrt-cube add-exp-log
35×flip3-- flip--
32×frac-times
26×associate-/r/
20×pow1 prod-exp cbrt-unprod
17×associate-*r*
16×associate-*l/
14×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
10×pow-prod-down sqrt-prod
5×cbrt-undiv div-exp associate-*l*
4×add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-/l/
1×clear-num associate-/r* frac-2neg div-sub div-inv unswap-sqr
Counts
4 → 131
Calls
4 calls:
8.0ms
(* PI t)
229.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
60.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
655.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series1.7s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* PI t)
327.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
418.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
911.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify3.1s

Counts
143 → 143
Iterations
IterNodes
done5001
11144
0350

prune1.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes432.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done36
136
027

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s8000×body80valid
903.0ms8105×body80nan