Details

sample266.0ms

Algorithm

intervals

Results

66.0ms	256×	pre	80	true
53.0ms	54×	body	1280	valid
23.0ms	34×	body	640	valid
19.0ms	138×	body	80	valid
8.0ms	18×	body	320	valid
4.0ms	12×	body	160	valid

simplify35.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	14
0	9

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 65

Calls

3 calls:

42.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
14.0ms	(* e (cos v))
18.0ms	(* e (sin v))

series244.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
61.0ms	(* e (cos v))
66.0ms	(* e (sin v))

simplify938.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1542
1	312
0	123

prune426.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

14.0ms	(* e (cos v))
20.0ms	(* e (cos v))
13.0ms	(* e (cos v))
15.0ms	(* (sin v) e)

series214.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* e (cos v))
51.0ms	(* e (cos v))
50.0ms	(* e (cos v))
51.0ms	(* (sin v) e)

simplify4.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4351
2	497
1	126
0	60

prune650.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ (fma (cos v) e 1.0) (sin v))
12.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (fma (cos v) e 1.0) (sin v))
139.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2292
1	487
0	197

prune763.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-l`
10×	`associate-r`
8×	`prod-exp` `cbrt-unprod`
7×	`sqrt-prod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `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 → 94

Calls

4 calls:

52.0ms	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
14.0ms	(* e (cos v))
47.0ms	(* (sqrt e) (* (sin v) (sqrt e)))
20.0ms	(* (sin v) (sqrt e))

series398.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
71.0ms	(* e (cos v))
82.0ms	(* (sqrt e) (* (sin v) (sqrt e)))
109.0ms	(* (sin v) (sqrt e))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	3319
1	582
0	205

prune471.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.4s	1436×	body	1280	valid
1.2s	1267×	body	640	valid
702.0ms	4317×	body	80	valid
681.0ms	8000×	pre	80	true
248.0ms	650×	body	320	valid
79.0ms	330×	body	160	valid