Details

sample283.0ms

Algorithm

intervals

Results

78.0ms	42×	body	1280	valid
27.0ms	49×	body	640	valid
18.0ms	133×	body	80	valid
10.0ms	256×	pre	80	true
7.0ms	20×	body	320	valid
3.0ms	12×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	16
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize61.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite660.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 62

Calls

3 calls:

35.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
19.0ms	(* e (cos v))
601.0ms	(* e (sin v))

series265.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
61.0ms	(* e (cos v))
101.0ms	(* e (sin v))

simplify939.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	840
1	279
0	114

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

28.0ms	(/ (+ 1 (* e (cos v))) (sin v))
19.0ms	(* e (cos v))
27.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (+ 1 (* e (cos v))) (sin v))
63.0ms	(* e (cos v))
100.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.7s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1627
1	545
0	216

prune778.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sin v) (sqrt e))
0.3b	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `add-cube-cbrt`
36×	`times-frac`
30×	`associate-l`
25×	`sqrt-prod`
22×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
10×	`associate-r`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*l/`

Counts

4 → 129

Calls

4 calls:

21.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
18.0ms	(* e (cos v))
26.0ms	(* (sin v) (sqrt e))
81.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
45.0ms	(* e (cos v))
105.0ms	(* (sin v) (sqrt e))
167.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))

simplify2.1s

Counts

141 → 141

Iterations

Iter	Nodes
done	5002
2	3078
1	738
0	263

prune729.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin v) (sqrt e))
0.3b	(* (/ 1 (/ (+ 1 (* e (cos v))) (sqrt e))) (* (sin v) (sqrt e)))
0.3b	(/ (+ 1 (* e (cos v))) (sqrt e))
0.3b	(/ 1 (/ (+ 1 (* e (cos v))) (sqrt e)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
163×	`add-sqr-sqrt`
159×	`*-un-lft-identity` `add-cube-cbrt`
79×	`sqrt-prod`
74×	`associate-l`
64×	`add-exp-log`
34×	`add-cbrt-cube`
28×	`associate-/r*`
22×	`div-exp` `prod-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod` `div-inv`
7×	`associate-r`
6×	`rec-exp` `1-exp` `associate-/l*`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`flip3-+` `associate-*l/` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 282

Calls

4 calls:

21.0ms	(* (sin v) (sqrt e))
110.0ms	(* (/ 1 (/ (+ 1 (* e (cos v))) (sqrt e))) (* (sin v) (sqrt e)))
55.0ms	(/ (+ 1 (* e (cos v))) (sqrt e))
32.0ms	(/ 1 (/ (+ 1 (* e (cos v))) (sqrt e)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (sin v) (sqrt e))
150.0ms	(* (/ 1 (/ (+ 1 (* e (cos v))) (sqrt e))) (* (sin v) (sqrt e)))
119.0ms	(/ (+ 1 (* e (cos v))) (sqrt e))
154.0ms	(/ 1 (/ (+ 1 (* e (cos v))) (sqrt e)))

simplify2.8s

Counts

294 → 294

Iterations

Iter	Nodes
done	5009
2	3845
1	1352
0	435

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.9s	1472×	body	1280	valid
742.0ms	1221×	body	640	valid
647.0ms	4357×	body	80	valid
359.0ms	8000×	pre	80	true
320.0ms	632×	body	320	valid
79.0ms	318×	body	160	valid