Details

sample273.0ms

Algorithm

intervals

Results

113.0ms	54×	body	1280	valid
28.0ms	46×	body	640	valid
16.0ms	123×	body	80	valid
10.0ms	24×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	9×	body	160	valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

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))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

52.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
28.0ms	(* e (sin v))

series347.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
78.0ms	(* e (cos v))
89.0ms	(* e (sin v))

simplify1.4s

Counts

68 → 68

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	118	723
1	306	687
2	1510	609
done	5001	605

prune493.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `*-commutative` `unswap-sqr`
2×	`pow-pow` `pow-exp` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

18.0ms	(* e (cos v))
17.0ms	(* e (cos v))
19.0ms	(* e (sin v))
26.0ms	(pow (* e (cos v)) 3)

series338.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* e (cos v))
73.0ms	(* e (cos v))
71.0ms	(* e (sin v))
129.0ms	(pow (* e (cos v)) 3)

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	84	578
1	202	504
2	933	478
done	5000	476

prune841.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

29.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
18.0ms	(* e (cos v))
18.0ms	(* e (cos v))
125.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
68.0ms	(* e (cos v))
68.0ms	(* e (cos v))
186.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify3.3s

Counts

166 → 166

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	239	3295
1	678	3074
2	3825	2881
done	5001	2875

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

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	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (* (/ 1 (sqrt (sqrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (sqrt (sqrt (+ 1.0 (* e (cos v))))))))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
51×	`add-cbrt-cube`
37×	`prod-exp`
33×	`associate-l`
29×	`add-sqr-sqrt`
25×	`div-exp`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-unprod`
18×	`times-frac`
15×	`pow1`
13×	`cbrt-undiv`
10×	`associate-r`
9×	`sqrt-prod`
6×	`pow-prod-down`
5×	`frac-times` `associate-*r/`
4×	`rec-exp` `1-exp` `*-commutative` `add-log-exp`
3×	`associate-*l/` `unswap-sqr`
2×	`sqrt-div` `associate-/r/`
1×	`flip3-+` `flip-+` `div-inv`

Counts

4 → 124

Calls

4 calls:

18.0ms	(* e (cos v))
19.0ms	(* e (cos v))
17.0ms	(* e (cos v))
243.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (* (/ 1 (sqrt (sqrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (sqrt (sqrt (+ 1.0 (* e (cos v))))))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* e (cos v))
75.0ms	(* e (cos v))
70.0ms	(* e (cos v))
178.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (* (/ 1 (sqrt (sqrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (sqrt (sqrt (+ 1.0 (* e (cos v))))))))

simplify3.9s

Counts

136 → 136

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	198	3481
1	631	3222
2	4279	2515
done	5001	2491

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes381.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	20
1	14	20
done	14	20

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.0s	1540×	body	1280	valid
934.0ms	1249×	body	640	valid
696.0ms	4304×	body	80	valid
261.0ms	603×	body	320	valid
255.0ms	8000×	pre	80	true
102.0ms	304×	body	160	valid