Details

Time bar (total: 12.7s)

sample40.0ms

Algorithm
intervals
Results
12.0ms286×body80nan
12.0ms256×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378028
4343828
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
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))))))

rewrite80.0ms

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 frac-times div-exp 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 → 94
Calls
4 calls:
9.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
51.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series824.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
587.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (424.0ms)

IterNodesCost
02502389
17472232
237481908
done50011908

prune350.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

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 frac-times div-exp 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 → 94
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
145.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- 1.0 (* v v))))
41.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
406.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- 1.0 (* v v))))
231.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.1s

Counts
106 → 106
Iterations

Useful iterations: 2 (343.0ms)

IterNodesCost
02322595
16942377
234642021
done50012021

prune485.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
19×pow1 prod-exp cbrt-unprod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
6.0ms
(* 5.0 (* v v))
9.0ms
(* t (* (sqrt 2.0) PI))
153.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
25.0ms
(* 5.0 (* v v))
76.0ms
(* t (* (sqrt 2.0) PI))
406.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (289.0ms)

IterNodesCost
02342472
17312252
234881886
done50011886

prune447.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* t PI)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×frac-times associate-*r* pow-prod-down div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* t PI)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
55.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))

series493.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
24.0ms
(* t PI)
82.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
362.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))

simplify856.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
02383097
16772911
228112403
done50012403

prune597.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03879
15279
done5279

end0.0ms

sample1.0s

Algorithm
intervals
Results
388.0ms8000×body80valid
354.0ms7966×body80nan