Details

sample223.0ms

Algorithm

intervals

Results

43.0ms	44×	body	1280	valid
33.0ms	53×	body	640	valid
16.0ms	124×	body	80	valid
11.0ms	26×	body	320	valid
6.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify85.0ms

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

5.0ms	(+ 1.0 (* e (cos v)))
21.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
13.0ms	(* e (cos v))
17.0ms	(* e (sin v))

series305.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ 1.0 (* e (cos v)))
130.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
65.0ms	(* e (cos v))
66.0ms	(* e (sin v))

simplify890.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1708
1	326
0	126

prune419.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
22×	`associate-/r*`
18×	`pow-prod-down`
16×	`sum-cubes` `distribute-lft-out`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow`
2×	`clear-num` `pow-pow` `frac-2neg` `pow-plus` `pow-exp` `rem-cube-cbrt` `associate-/l/`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `flip3-+` `unpow3` `cube-prod` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip-+` `sqr-pow`

Counts

4 → 187

Calls

4 calls:

72.0ms	(/ (+ (pow (* (cos v) e) 3) (pow 1.0 3)) (sin v))
5.0ms	(pow (* (cos v) e) 3)
26.0ms	(* (* e (cos v)) (* e (cos v)))
40.0ms	(/ e (/ (+ (pow (* (cos v) e) 3) (pow 1.0 3)) (sin v)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ (+ (pow (* (cos v) e) 3) (pow 1.0 3)) (sin v))
125.0ms	(pow (* (cos v) e) 3)
88.0ms	(* (* e (cos v)) (* e (cos v)))
289.0ms	(/ e (/ (+ (pow (* (cos v) e) 3) (pow 1.0 3)) (sin v)))

simplify2.4s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
2	4843
1	831
0	297

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(pow (* e (cos v)) 2)
0.2b	(* (/ (sqrt e) (+ (* (- 1.0 (* e (cos v))) 1.0) (pow (* e (cos v)) 2))) (/ (* (sin v) (sqrt e)) (+ (* e (cos v)) 1.0)))
0.3b	(* (sin v) (sqrt e))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
42×	`add-exp-log`
39×	`add-cbrt-cube`
35×	`add-sqr-sqrt`
28×	`associate-l`
23×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
20×	`pow-prod-down`
18×	`prod-exp`
17×	`cbrt-unprod`
16×	`associate-r`
14×	`sqrt-prod`
7×	`cbrt-undiv` `div-exp`
5×	`unswap-sqr`
4×	`associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `flip3-+` `pow-plus` `pow-exp` `flip-+` `div-inv`
1×	`pow2` `frac-times` `pow-to-exp` `unpow-prod-down` `swap-sqr` `associate-l/` `associate-r/` `unpow2` `sqr-pow`

Counts

4 → 134

Calls

4 calls:

30.0ms	(* (* e (cos v)) (* e (cos v)))
11.0ms	(pow (* e (cos v)) 2)
121.0ms	(* (/ (sqrt e) (+ (* (- 1.0 (* e (cos v))) 1.0) (pow (* e (cos v)) 2))) (/ (* (sin v) (sqrt e)) (+ (* e (cos v)) 1.0)))
16.0ms	(* (sin v) (sqrt e))

series563.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* e (cos v)) (* e (cos v)))
78.0ms	(pow (* e (cos v)) 2)
337.0ms	(* (/ (sqrt e) (+ (* (- 1.0 (* e (cos v))) 1.0) (pow (* e (cos v)) 2))) (/ (* (sin v) (sqrt e)) (+ (* e (cos v)) 1.0)))
67.0ms	(* (sin v) (sqrt e))

simplify365.0ms

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
1	867
0	268

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize192.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt e) (cbrt e))
0.7b	(cbrt e)
0.7b	(cbrt e)
0.7b	(cbrt e)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

16.0ms	(* (cbrt e) (cbrt e))
1.0ms	(cbrt e)
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt e) (cbrt e))
285.0ms	(cbrt e)
321.0ms	(cbrt e)
263.0ms	(cbrt e)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune881.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes297.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.3s	1509×	body	1280	valid
759.0ms	1265×	body	640	valid
699.0ms	8000×	pre	80	true
691.0ms	639×	body	320	valid
592.0ms	4275×	body	80	valid
170.0ms	312×	body	160	valid