Details

sample234.0ms

Algorithm

intervals

Results

132.0ms

542×

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	654	29
4	3445	29
done	5000	29

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize36.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.1b	(* (* (* w w) r) r)
8.8b	(* (* w w) r)

rewrite706.0ms

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:

247.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
332.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
90.0ms	(* (* (* w w) r) r)
21.0ms	(* (* w w) r)

series378.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
130.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
67.0ms	(* (* (* w w) r) r)
46.0ms	(* (* w w) r)

simplify638.0ms

Counts

131 → 131

Iterations

Useful iterations: done (630.0ms)

Iter	Nodes	Cost
0	203	2751
1	678	2663
done	5000	2019

prune585.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 2.0 (* r r))
4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
4.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
6.1b	(* (* w (* w r)) r)

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
55×	`prod-exp` `cbrt-unprod`
45×	`pow1`
30×	`pow-prod-down`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`cbrt-undiv` `div-exp`
9×	`add-cube-cbrt`
8×	`times-frac`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `associate-l` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

8.0ms	(/ 2.0 (* r r))
232.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
200.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
81.0ms	(* (* w (* w r)) r)

series330.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 2.0 (* r r))
129.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
112.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
58.0ms	(* (* w (* w r)) r)

simplify600.0ms

Counts

133 → 133

Iterations

Useful iterations: done (595.0ms)

Iter	Nodes	Cost
0	230	2773
1	750	2687
done	5001	2039

prune604.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 v))
0.9b	(/ 2.0 (* r r))
1.0b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (* (* w (* w r)) r) (cbrt (- 1.0 v))))
6.1b	(* (* w (* w r)) r)

rewrite406.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-exp-log`
118×	`add-cbrt-cube`
82×	`prod-exp` `cbrt-unprod`
42×	`cbrt-undiv` `div-exp`
18×	`add-sqr-sqrt`
17×	`associate-r`
16×	`cbrt-div` `*-un-lft-identity`
15×	`pow1`
14×	`associate-l`
12×	`add-cube-cbrt` `times-frac`
10×	`cbrt-prod` `associate-/r/`
8×	`flip3--` `flip--`
7×	`pow-prod-down`
5×	`frac-times`
4×	`add-log-exp`
3×	`associate-r/` `associate-l/` `div-inv` `associate-/l*`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `pow1/3` `clear-num` `associate-/r*` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

8.0ms	(cbrt (- 1.0 v))
9.0ms	(/ 2.0 (* r r))
293.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (* (* w (* w r)) r) (cbrt (- 1.0 v))))
79.0ms	(* (* w (* w r)) r)

series387.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- 1.0 v))
36.0ms	(/ 2.0 (* r r))
143.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (* (* w (* w r)) r) (cbrt (- 1.0 v))))
59.0ms	(* (* w (* w r)) r)

simplify607.0ms

Counts

159 → 159

Iterations

Useful iterations: done (591.0ms)

Iter	Nodes	Cost
0	332	4768
1	1087	4575
done	5001	3383

prune953.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

6.1b	(* (* w (* w r)) r)
17.6b	(cbrt (* (* w (* w r)) r))
17.6b	(cbrt (* (* w (* w r)) r))
17.6b	(cbrt (* (* w (* w r)) r))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

75.0ms	(* (* w (* w r)) r)
81.0ms	(cbrt (* (* w (* w r)) r))
58.0ms	(cbrt (* (* w (* w r)) r))
62.0ms	(cbrt (* (* w (* w r)) r))

series474.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* w (* w r)) r)
147.0ms	(cbrt (* (* w (* w r)) r))
128.0ms	(cbrt (* (* w (* w r)) r))
160.0ms	(cbrt (* (* w (* w r)) r))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	81	678
1	226	643
2	1380	517
done	5001	486

prune504.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes496.0ms

Accuracy

84.3% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 2.8b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	98
1	48	98
done	48	98

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.3s

17147×

body

valid