Details

Time bar (total: 16.7s)

sample43.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
10.0ms238×body80nan

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383328
4371728
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 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))))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
17.0ms
(* 5.0 (* v v))
125.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
7.0ms
(* PI t)
35.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series809.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
575.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* PI t)
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.3s

Counts
114 → 114
Iterations

Useful iterations: 2 (507.0ms)

IterNodesCost
02582497
17512332
236172006
done50002006

prune352.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
79.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
7.0ms
(* PI t)
72.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series593.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
321.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))
20.0ms
(* PI t)
226.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (326.0ms)

IterNodesCost
01982060
15321905
222891651
done50001651

prune639.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 128
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
7.0ms
(* PI t)
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
41.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series447.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
84.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
317.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify892.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (350.0ms)

IterNodesCost
02553343
16363235
224052955
done50012955

prune862.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
0.5b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
577×times-frac
269×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
56×associate-/l*
44×sqrt-prod
28×add-exp-log add-cbrt-cube
26×div-inv
14×pow1
9×cbrt-undiv div-exp
7×associate-/r*
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×div-sub
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg sqrt-div associate-*r/ associate-*r* clear-num associate-/r/ *-commutative associate-/l/ unswap-sqr
1×flip3-- flip--
Counts
4 → 356
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
16.0ms
(* 5.0 (* v v))
17.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
48.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)))))

series473.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
33.0ms
(* 5.0 (* v v))
78.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
336.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)))))

simplify1.7s

Counts
368 → 368
Iterations

Useful iterations: 2 (854.0ms)

IterNodesCost
066013627
1150813218
2472712928
done500012928

prune3.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04190
15590
done5590

end0.0ms

sample1.1s

Algorithm
intervals
Results
372.0ms8000×body80valid
339.0ms8005×body80nan