Details

sample349.0ms

Algorithm

intervals

Results

231.0ms

548×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	29
1	51	29
2	152	29
3	633	29
4	2846	29
done	5002	29

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize20.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.5b	(* (* (* w w) r) r)
8.7b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
13.0b	(* (* w w) r)

rewrite761.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

285.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
94.0ms	(* (* (* w w) r) r)
344.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
25.0ms	(* (* w w) r)

series342.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
41.0ms	(* (* (* w w) r) r)
116.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
51.0ms	(* (* w w) r)

simplify2.0s

Counts

131 → 131

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	203	2751
1	593	2663
2	2984	1923
done	5000	1915

prune460.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
2.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
8.7b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`pow-prod-down`
8×	`times-frac`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

16.0ms	(/ 2.0 (* r r))
14.0ms	(* (fabs (* w r)) (fabs (* w r)))
83.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
78.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series214.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 2.0 (* r r))
9.0ms	(* (fabs (* w r)) (fabs (* w r)))
55.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
123.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.3s

Counts

117 → 117

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	198	2324
1	518	1954
2	2108	1521
done	5000	1515

prune521.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
4.8b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
9.9b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
9.9b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

416×	`times-frac`
218×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
120×	`add-cube-cbrt`
98×	`sqrt-prod`
90×	`unpow-prod-down`
88×	`associate-/r*`
52×	`add-exp-log`
48×	`distribute-lft-out--` `difference-of-squares`
30×	`unpow2` `sqr-pow`
28×	`div-exp` `add-cbrt-cube`
12×	`cbrt-undiv`
10×	`div-inv`
8×	`prod-exp`
6×	`pow1`
4×	`pow-to-exp` `associate-*r/` `pow-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `clear-num` `flip--` `associate-/l*`

Counts

4 → 348

Calls

4 calls:

63.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
42.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
28.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
41.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
86.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
353.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
383.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.7s

Counts

360 → 360

Iterations

Useful iterations: 2 (803.0ms)

Iter	Nodes	Cost
0	389	10156
1	976	9380
2	2998	8574
done	5001	8574

prune2.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)
4.8b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
9.9b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

211×	`times-frac`
115×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
66×	`add-cube-cbrt`
49×	`sqrt-prod`
48×	`unpow-prod-down`
45×	`associate-/r*`
34×	`add-exp-log`
24×	`distribute-lft-out--` `difference-of-squares`
21×	`add-cbrt-cube`
16×	`div-exp` `unpow2` `sqr-pow`
8×	`cbrt-undiv`
6×	`pow1` `div-inv`
5×	`prod-exp`
4×	`associate-/l*` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*r/` `clear-num` `associate-/r/` `associate-/l/`
1×	`rem-sqrt-square` `flip3--` `pow-pow` `sqrt-pow1` `pow1/2` `sqrt-div` `flip--`

Counts

4 → 213

Calls

4 calls:

8.0ms	(/ 2.0 (* r r))
3.0ms	(pow (fabs (* w r)) 2)
49.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
28.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 2.0 (* r r))
9.0ms	(pow (fabs (* w r)) 2)
101.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
387.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.9s

Counts

225 → 225

Iterations

Useful iterations: 2 (872.0ms)

Iter	Nodes	Cost
0	435	5450
1	1049	4984
2	3258	4584
done	5002	4584

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes423.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	48
1	36	48
done	36	48

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

16987×

body

valid