Details

sample159.0ms

Algorithm

intervals

Results

21.0ms	36×	body	1280	valid
12.0ms	33×	body	640	valid
11.0ms	153×	body	80	valid
6.0ms	24×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	10×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite52.0ms

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:

18.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (sin v))
12.0ms	(* e (cos v))

series235.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
56.0ms	(* e (sin v))
54.0ms	(* e (cos v))

simplify883.0ms

Counts

68 → 68

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	118	723
1	306	687
2	1510	609
done	5000	605

prune296.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

30.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
24.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
63.0ms	(* e (cos v))
123.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.5s

Counts

126 → 126

Iterations

Useful iterations: 2 (481.0ms)

Iter	Nodes	Cost
0	222	2251
1	576	2170
2	2903	2033
done	5000	2033

prune555.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

23.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
19.0ms	(* (sqrt e) (sin v))
71.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
41.0ms	(* e (cos v))
97.0ms	(* (sqrt e) (sin v))
123.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

simplify2.2s

Counts

137 → 137

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	264	2225
1	722	2107
2	3769	1793
done	5000	1775

prune509.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize41.0ms

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)

rewrite21.0ms

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:

14.0ms	(* (cbrt e) (cbrt e))
1.0ms	(cbrt e)
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series1.1s

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt e) (cbrt e))
280.0ms	(cbrt e)
263.0ms	(cbrt e)
273.0ms	(cbrt e)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune405.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	1519×	body	1280	valid
1.0s	4286×	body	80	valid
740.0ms	592×	body	320	valid
704.0ms	1281×	body	640	valid
219.0ms	8000×	pre	80	true
105.0ms	322×	body	160	valid