Details

sample80.0ms

Algorithm

intervals

Results

31.0ms	93×	body	2560	valid
19.0ms	87×	body	1280	valid
7.0ms	258×	body	80	nan
5.0ms	32×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	42	7
2	77	7
3	146	7
4	242	7
5	417	7
6	2789	7
7	5001	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

27.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
16.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify38.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	336	587
1	1261	535
2	5002	531
done	5002	531

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`acos-asin`

Counts

4 → 65

Calls

4 calls:

17.0ms	(* 5.0 (* v v))
16.0ms	(* 5.0 (* v v))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 5.0 (* v v))
24.0ms	(* 5.0 (* v v))
28.0ms	(* 5.0 (* v v))
7.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

simplify54.0ms

Counts

77 → 77

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	148	434
1	533	358
2	1856	358
3	5001	358
done	5001	358

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`acos-asin`

Counts

4 → 65

Calls

4 calls:

17.0ms	(* 5.0 (* v v))
16.0ms	(* 5.0 (* v v))
16.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 5.0 (* v v))
25.0ms	(* 5.0 (* v v))
25.0ms	(* 5.0 (* v v))
10.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

simplify54.0ms

Counts

77 → 77

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	148	434
1	533	358
2	1856	358
3	5001	358
done	5001	358

prune166.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
135.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
132.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
132.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify89.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	117	1278
1	417	1112
2	2698	1044
3	5001	1031
done	5001	1031

prune170.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.4b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7
done	10	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	2970×	body	2560	valid
563.0ms	2508×	body	1280	valid
227.0ms	8062×	body	80	nan
214.0ms	1312×	body	640	valid
70.0ms	598×	body	320	valid
36.0ms	412×	body	160	valid
10.0ms	200×	body	80	valid