Details

Time bar (total: 24.1s)

sample78.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
22.0ms255×body80nan

simplify1.4s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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))))

rewrite357.0ms

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:
33.0ms
(* 5.0 (* v v))
13.0ms
(* PI t)
72.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
231.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.2s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 5.0 (* v v))
38.0ms
(* PI t)
266.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
833.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify1.8s

Counts
106 → 106

prune513.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize76.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.1b
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
7.7b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
7.7b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
164×add-exp-log
78×prod-exp
74×add-cbrt-cube
48×div-exp
30×cbrt-unprod
20×cbrt-undiv
17×times-frac associate-/l*
14×pow-to-exp pow-exp
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 frac-2neg clear-num associate-/r* div-inv add-log-exp sqr-pow
2×unpow2
Counts
4 → 146
Calls
4 calls:
80.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
46.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
98.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
59.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series1.0s

Counts
4 → 12
Calls
4 calls:
309.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
220.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
277.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
215.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify1.9s

Counts
158 → 158

prune909.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))))

rewrite821.0ms

Algorithm
rewrite-expression-head
Rules
54×associate-*r/
36×add-exp-log add-cbrt-cube
33×add-sqr-sqrt
28×frac-times
26×associate-/r/
20×flip3-- sqrt-div flip--
17×prod-exp cbrt-unprod
16×pow1 difference-of-squares
14×*-un-lft-identity
13×times-frac associate-/l*
12×sqr-pow
10×add-cube-cbrt
9×flip3-+ flip-+
8×associate-*r* associate-*l/
7×associate-*l* pow-prod-down
5×cbrt-undiv div-exp
4×unpow-prod-down cube-prod add-log-exp
3×*-commutative
2×difference-cubes associate-/l/ distribute-lft-out-- unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 134
Calls
4 calls:
22.0ms
(* 5.0 (* v v))
13.0ms
(* PI t)
39.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
740.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 5.0 (* v v))
40.0ms
(* PI t)
328.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
921.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))))

simplify728.0ms

Counts
146 → 146

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
54×associate-*r/
40×add-exp-log add-cbrt-cube
31×add-sqr-sqrt
28×frac-times
26×associate-/r/
21×prod-exp cbrt-unprod
20×flip3-- sqrt-div flip--
16×difference-of-squares
15×pow1
13×*-un-lft-identity times-frac associate-/l*
12×sqr-pow
9×add-cube-cbrt flip3-+ flip-+
8×associate-*l/
7×sqrt-prod
6×cbrt-undiv div-exp pow-prod-down
4×unpow-prod-down cube-prod associate-*r* add-log-exp
2×difference-cubes rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/ distribute-lft-out--
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 128
Calls
4 calls:
106.0ms
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.5s
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series1.2s

Counts
4 → 8
Calls
4 calls:
278.0ms
(* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
963.0ms
(/ (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (* (* (* (sqrt PI) (* (sqrt PI) t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify712.0ms

Counts
136 → 136

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.3b

regimes705.0ms

Accuracy

0.2% (0.4b remaining)

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

bsearch0.0ms

simplify1.7s

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s7962×body80nan
965.0ms8000×body80valid