Details

Time bar (total: 19.2s)

sample87.0ms

Algorithm
intervals
Results
36.0ms269×body80nan
22.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
383928
4412928
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite302.0ms

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:
8.0ms
(* PI t)
19.0ms
(* 3.0 (* v v))
205.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
66.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* PI t)
40.0ms
(* 3.0 (* v v))
908.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
317.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify558.0ms

Counts
114 → 114
Iterations

Useful iterations: done (554.0ms)

IterNodesCost
02582497
18042334
done50002034

prune646.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize463.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
3.2b
(/ (pow v 4) t)
6.7b
(/ (* v v) t)
6.7b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
55×prod-exp
39×times-frac add-cbrt-cube
35×div-exp
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
23×associate-/l*
14×pow-to-exp pow-exp
13×cbrt-unprod
11×cbrt-undiv
8×associate-/r* sqr-pow
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv add-log-exp
2×unpow2
Counts
4 → 164
Calls
4 calls:
78.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
17.0ms
(/ (pow v 4) t)
22.0ms
(/ (* v v) t)
107.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
474.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
44.0ms
(/ (pow v 4) t)
33.0ms
(/ (* v v) t)
294.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))

simplify584.0ms

Counts
176 → 176
Iterations

Useful iterations: done (577.0ms)

IterNodesCost
02922644
17952383
done50012172

prune1.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite552.0ms

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:
20.0ms
(* 3.0 (* v v))
368.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
118.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
38.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 3.0 (* v v))
826.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
318.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
236.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify613.0ms

Counts
116 → 116
Iterations

Useful iterations: done (605.0ms)

IterNodesCost
02662789
18402620
done50002288

prune529.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity sqrt-prod
9×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip--
1×unswap-sqr
Counts
4 → 81
Calls
4 calls:
309.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
29.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
11.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series578.0ms

Counts
4 → 8
Calls
4 calls:
315.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
263.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01311309
13371088
213781002
done5001984

prune420.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.1b

regimes476.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04080
15280
done5280

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s8000×body80valid
937.0ms7955×body80nan