Details

sample283.0ms

Algorithm

intervals

Results

75.0ms	143×	body	80	valid
60.0ms	45×	body	1280	valid
45.0ms	45×	body	640	valid
13.0ms	256×	pre	80	true
8.0ms	13×	body	320	valid
4.0ms	10×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

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

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:

28.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms	(* e (sin v))
18.0ms	(* e (cos v))

series249.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
50.0ms	(* e (sin v))
71.0ms	(* e (cos v))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5004
2	839
1	279
0	114

prune396.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos v) e)
0.1b	(* (cos v) e)
0.1b	(* (* (cos v) e) (* (cos v) e))
0.1b	(* (* e (cos v)) (* e (cos v)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

86×	`pow1`
36×	`pow-prod-down`
32×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `pow-sqr` `pow-prod-up` `add-cube-cbrt`
4×	`pow-plus` `*-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `swap-sqr` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

17.0ms	(* (cos v) e)
11.0ms	(* (cos v) e)
32.0ms	(* (* (cos v) e) (* (cos v) e))
49.0ms	(* (* e (cos v)) (* e (cos v)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (cos v) e)
68.0ms	(* (cos v) e)
94.0ms	(* (* (cos v) e) (* (cos v) e))
98.0ms	(* (* e (cos v)) (* e (cos v)))

simplify3.1s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	2966
2	875
1	229
0	87

prune564.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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:

8.0ms	(* e (cos v))
26.0ms	(/ (+ 1 (* e (cos v))) (sin v))
21.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series257.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* e (cos v))
119.0ms	(/ (+ 1 (* e (cos v))) (sin v))
88.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.7s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1631
1	545
0	216

prune828.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

34.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
16.0ms	(* e (cos v))
30.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
12.0ms	(* (sqrt e) (sin v))

series399.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
65.0ms	(* e (cos v))
58.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
131.0ms	(* (sqrt e) (sin v))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5016
2	1769
1	503
0	188

prune530.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	27
1	27
0	18

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.7s	1447×	body	1280	valid
1.1s	1188×	body	640	valid
932.0ms	4457×	body	80	valid
398.0ms	592×	body	320	valid
321.0ms	8000×	pre	80	true
113.0ms	316×	body	160	valid