Details

Time bar (total: 25.5s)

sample68.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
18.0ms254×body80nan

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383328
4371728
done500028

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite307.0ms

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:
19.0ms
(* 3.0 (* v v))
9.0ms
(* PI t)
203.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
72.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
36.0ms
(* PI t)
898.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
278.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.0s

Counts
114 → 114
Iterations

Useful iterations: 2 (735.0ms)

IterNodesCost
02582497
17492326
236062006
done50002006

prune569.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
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 → 104
Calls
4 calls:
19.0ms
(* 3.0 (* v v))
100.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
305.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
53.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 3.0 (* v v))
326.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
986.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
219.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.2s

Counts
116 → 116
Iterations

Useful iterations: 2 (695.0ms)

IterNodesCost
02662789
17732590
235352258
done50002258

prune591.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow v 6))))
0.5b
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite540.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
31×times-frac
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×associate-*r/
16×pow1
13×prod-exp cbrt-unprod associate-/l*
9×cbrt-undiv div-exp associate-*l*
8×sqrt-div associate-/r/
7×flip3-- pow-prod-down flip--
6×associate-*r*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub associate-*l/
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 126
Calls
4 calls:
22.0ms
(* 3.0 (* v v))
36.0ms
(* 3.0 (* v v))
364.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow v 6))))
112.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 3.0 (* v v))
61.0ms
(* 3.0 (* v v))
548.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- (pow 1.0 3) (pow v 6))))
331.0ms
(* t (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.8s

Counts
138 → 138
Iterations

Useful iterations: 2 (573.0ms)

IterNodesCost
02693831
17363548
230333126
done50003126

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 6) (pow v 12)) (* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)))
0.5b
(* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)

rewrite574.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
31×times-frac
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×associate-*l/
16×pow1
13×prod-exp cbrt-unprod associate-/l*
10×associate-*l*
9×cbrt-undiv div-exp
8×sqrt-div associate-/r/
7×flip3-- pow-prod-down flip--
5×associate-*r*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×div-sub associate-*r/
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 126
Calls
4 calls:
20.0ms
(* 3.0 (* v v))
34.0ms
(* 3.0 (* v v))
373.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 6) (pow v 12)) (* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)))
142.0ms
(* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)

series881.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 3.0 (* v v))
28.0ms
(* 3.0 (* v v))
600.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (- (pow 1.0 6) (pow v 12)) (* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)))
208.0ms
(* (sqrt (* (- (pow 1.0 6) (pow (* 3.0 (* v v)) 6)) 2.0)) t)

simplify1.5s

Counts
138 → 138
Iterations

Useful iterations: 2 (545.0ms)

IterNodesCost
02693820
17163590
227703116
done50003116

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes403.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04598
16298
done6298

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s7822×body80nan
986.0ms8002×body80valid