Details

sample203.0ms

Algorithm

intervals

Results

36.0ms	54×	body	1280	valid
17.0ms	34×	body	640	valid
16.0ms	138×	body	80	valid
6.0ms	18×	body	320	valid
6.0ms	256×	pre	80	true
3.0ms	12×	body	160	valid

simplify80.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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))

rewrite78.0ms

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` `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 → 59

Calls

3 calls:

26.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
13.0ms	(* e (cos v))
18.0ms	(* e (sin v))

series293.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
56.0ms	(* e (cos v))
85.0ms	(* e (sin v))

simplify837.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1506
1	304
0	117

prune386.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
33×	`associate-r`
31×	`add-exp-log`
28×	`times-frac`
25×	`*-un-lft-identity` `add-cube-cbrt`
24×	`add-cbrt-cube` `associate-l`
14×	`cbrt-div`
12×	`pow1`
11×	`cbrt-prod` `prod-exp` `cbrt-unprod`
10×	`associate-/r/`
9×	`unswap-sqr`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
5×	`frac-times`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
3×	`associate-l/` `associate-r/`
2×	`div-inv`

Counts

4 → 123

Calls

4 calls:

7.0ms	(* (cos v) e)
8.0ms	(* (cos v) e)
13.0ms	(* (cos v) e)
93.0ms	(* (/ e (* (cbrt (+ 1.0 (* (cos v) e))) (cbrt (+ 1.0 (* (cos v) e))))) (/ (sin v) (cbrt (+ 1.0 (* (cos v) e)))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cos v) e)
48.0ms	(* (cos v) e)
52.0ms	(* (cos v) e)
114.0ms	(* (/ e (* (cbrt (+ 1.0 (* (cos v) e))) (cbrt (+ 1.0 (* (cos v) e))))) (/ (sin v) (cbrt (+ 1.0 (* (cos v) e)))))

simplify1.8s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	3780
1	643
0	209

prune894.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
102×	`add-sqr-sqrt`
98×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
25×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
8×	`pow1`
6×	`associate-r` `associate-l` `div-inv`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`clear-num` `frac-2neg` `sqrt-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 183

Calls

4 calls:

13.0ms	(* e (cos v))
13.0ms	(* (cos v) e)
28.0ms	(/ (sqrt (+ 1.0 (* (cos v) e))) (sin v))
26.0ms	(/ e (/ (sqrt (+ 1.0 (* (cos v) e))) (sin v)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* e (cos v))
56.0ms	(* (cos v) e)
129.0ms	(/ (sqrt (+ 1.0 (* (cos v) e))) (sin v))
321.0ms	(/ e (/ (sqrt (+ 1.0 (* (cos v) e))) (sin v)))

simplify1.9s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
2	4949
1	848
0	325

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* (cos v) e)
0.2b	(/ (sin v) (/ (+ (pow (* (cos v) e) 3) (pow 1.0 3)) e))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
90×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
19×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
12×	`sum-cubes` `distribute-lft-out`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 148

Calls

4 calls:

13.0ms	(* e (cos v))
21.0ms	(* e (cos v))
12.0ms	(* (cos v) e)
29.0ms	(/ (sin v) (/ (+ (pow (* (cos v) e) 3) (pow 1.0 3)) e))

series365.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* e (cos v))
65.0ms	(* e (cos v))
55.0ms	(* (cos v) e)
200.0ms	(/ (sin v) (/ (+ (pow (* (cos v) e) 3) (pow 1.0 3)) e))

simplify1.5s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
2	3685
1	653
0	246

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes221.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.4s	1436×	body	1280	valid
1.2s	1267×	body	640	valid
692.0ms	8000×	pre	80	true
555.0ms	4317×	body	80	valid
270.0ms	650×	body	320	valid
82.0ms	330×	body	160	valid