Details

sample180.0ms

Algorithm

intervals

Results

82.0ms

581×

body

valid

simplify3.2s

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: 13.2b

localize23.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b	(* (* (* w w) r) r)
7.5b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0b	(* (* w w) r)

rewrite700.0ms

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:

270.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
117.0ms	(* (* (* w w) r) r)
281.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
24.0ms	(* (* w w) r)

series389.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
62.0ms	(* (* (* w w) r) r)
140.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
36.0ms	(* (* 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

prune525.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))
4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
7.5b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite209.0ms

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:

14.0ms	(* (fabs (* w r)) (fabs (* w r)))
17.0ms	(/ 2.0 (* r r))
86.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
84.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series227.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (fabs (* w r)) (fabs (* w r)))
48.0ms	(/ 2.0 (* r r))
61.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
101.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.4s

Counts

117 → 117

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	198	2324
1	517	1954
2	2121	1521
done	5000	1515

prune559.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ 2.0 (* r r))
5.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
17×	`distribute-lft-out--` `difference-of-squares`
13×	`prod-exp`
12×	`unpow2` `sqr-pow`
11×	`div-exp` `associate-/l*`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-/r*`
5×	`cbrt-undiv` `associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

19.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
3.0ms	(pow (fabs (* w r)) 2)
9.0ms	(/ 2.0 (* r r))
79.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
16.0ms	(pow (fabs (* w r)) 2)
48.0ms	(/ 2.0 (* r r))
110.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify2.0s

Counts

194 → 194

Iterations

Useful iterations: 2 (688.0ms)

Iter	Nodes	Cost
0	292	3574
1	723	3278
2	2553	2916
done	5001	2916

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (fabs (* w r)) 2) (/ 1 (- 1.0 v)))
0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ 2.0 (* r r))
5.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (pow (fabs (* w r)) 2) (/ 1 (- 1.0 v))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-exp-log`
76×	`prod-exp`
47×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
29×	`*-un-lft-identity`
26×	`times-frac`
22×	`associate-r`
20×	`div-exp`
19×	`add-cube-cbrt`
16×	`cbrt-unprod`
13×	`pow-to-exp` `pow-exp`
12×	`associate-*r/` `unswap-sqr`
10×	`pow1`
9×	`unpow-prod-down` `rec-exp` `1-exp` `associate-l`
5×	`cbrt-undiv` `unpow2` `sqr-pow`
4×	`frac-times` `flip3--` `un-div-inv` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `associate-/r/` `-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 156

Calls

4 calls:

60.0ms	(* (pow (fabs (* w r)) 2) (/ 1 (- 1.0 v)))
5.0ms	(pow (fabs (* w r)) 2)
9.0ms	(/ 2.0 (* r r))
78.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (pow (fabs (* w r)) 2) (/ 1 (- 1.0 v))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (pow (fabs (* w r)) 2) (/ 1 (- 1.0 v)))
16.0ms	(pow (fabs (* w r)) 2)
42.0ms	(/ 2.0 (* r r))
87.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (pow (fabs (* w r)) 2) (/ 1 (- 1.0 v))))

simplify1.6s

Counts

168 → 168

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	275	3168
1	671	2722
2	2255	2298
done	5001	2261

prune615.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	33	30
done	33	30

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.9s

17136×

body

valid