Details

sample392.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
11.0ms	37×	body	640	valid
9.0ms	139×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

16.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (sin v))
11.0ms	(* e (cos v))

series188.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
40.0ms	(* e (sin v))
54.0ms	(* e (cos v))

simplify1.8s

Counts

68 → 68

Iterations

Useful iterations: 3 (719.0ms)

Iter	Nodes	Cost
0	118	723
1	290	687
2	928	601
3	3444	599
done	5001	599

prune165.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt e) (cbrt e))
0.6b	(cbrt e)
0.6b	(cbrt e)
0.6b	(cbrt e)

rewrite16.0ms

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 e) (cbrt e))
1.0ms	(cbrt e)
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series737.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt e) (cbrt e))
178.0ms	(cbrt e)
179.0ms	(cbrt e)
186.0ms	(cbrt e)

simplify3.3s

Counts

85 → 85

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune240.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

35.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
29.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
13.0ms	(* (sqrt e) (sin v))

series262.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
47.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
76.0ms	(* (sqrt e) (sin v))

simplify1.0s

Counts

98 → 98

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	191	1333
1	500	1080
2	1956	924
done	5000	924

prune222.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.3b	(* (sqrt e) (sin v))
0.3b	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v))))
0.3b	(/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
47×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
28×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l` `div-inv` `associate-/l*`
8×	`pow1` `associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 135

Calls

4 calls:

8.0ms	(* e (cos v))
12.0ms	(* (sqrt e) (sin v))
21.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v))))
30.0ms	(/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* e (cos v))
73.0ms	(* (sqrt e) (sin v))
104.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v))))
133.0ms	(/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v)))

simplify1.3s

Counts

147 → 147

Iterations

Useful iterations: 2 (399.0ms)

Iter	Nodes	Cost
0	308	2908
1	770	2750
2	2672	2431
done	5001	2431

prune359.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	16	18
done	16	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

606.0ms	1476×	body	1280	valid
303.0ms	1206×	body	640	valid
225.0ms	4371×	body	80	valid
109.0ms	639×	body	320	valid
96.0ms	8000×	pre	80	true
36.0ms	308×	body	160	valid