Details

sample853.0ms

Algorithm

intervals

Results

577.0ms	60×	body	1280	valid
66.0ms	39×	body	640	valid
38.0ms	18×	body	320	valid
28.0ms	131×	body	80	valid
15.0ms	256×	pre	80	true
4.0ms	8×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

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:

27.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
16.0ms	(* e (sin v))
18.0ms	(* e (cos v))

series303.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
69.0ms	(* e (sin v))
85.0ms	(* e (cos v))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	2004
3	2004
2	839
1	279
0	114

prune390.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
30×	`add-sqr-sqrt`
28×	`associate-l`
25×	`add-cbrt-cube` `add-exp-log`
21×	`*-un-lft-identity`
20×	`pow-prod-down`
18×	`add-cube-cbrt`
16×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-r`
6×	`difference-of-squares`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-plus` `associate-/r/`
1×	`pow2` `cbrt-undiv` `flip3--` `swap-sqr` `div-exp` `associate-*l/` `div-inv` `flip--`

Counts

4 → 114

Calls

4 calls:

15.0ms	(* e (cos v))
16.0ms	(* e (cos v))
27.0ms	(* (/ e (- 1 (* (* e (cos v)) (* e (cos v))))) (sin v))
39.0ms	(* (* e (cos v)) (* e (cos v)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* e (cos v))
52.0ms	(* e (cos v))
157.0ms	(* (/ e (- 1 (* (* e (cos v)) (* e (cos v))))) (sin v))
97.0ms	(* (* e (cos v)) (* e (cos v)))

simplify1.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	2000
3	2000
2	1401
1	400
0	159

prune642.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite52.0ms

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:

15.0ms	(* e (cos v))
25.0ms	(/ (+ 1 (* e (cos v))) (sin v))
9.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* e (cos v))
86.0ms	(/ (+ 1 (* e (cos v))) (sin v))
118.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.5s

Counts

129 → 129

Iterations

Iter	Nodes
done	2014
3	2014
2	1631
1	545
0	216

prune710.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* e (cos v)) (* e (cos v)))
0.2b	(* (* e (cos v)) (* e (cos v)))
0.2b	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v))
0.3b	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-prod`
110×	`associate-l`
100×	`times-frac`
89×	`add-sqr-sqrt` `pow1`
75×	`*-un-lft-identity`
63×	`add-cube-cbrt`
54×	`add-cbrt-cube` `add-exp-log`
38×	`pow-prod-down`
28×	`prod-exp` `cbrt-unprod`
24×	`difference-of-squares`
8×	`pow-sqr` `pow-prod-up`
6×	`cbrt-undiv` `div-exp` `associate-r`
5×	`unswap-sqr`
4×	`pow-plus` `sqrt-div` `associate-l/` `associate-/r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `flip3--` `swap-sqr` `div-inv` `flip--`
1×	`frac-times` `associate-*r/`

Counts

4 → 228

Calls

4 calls:

57.0ms	(* (* e (cos v)) (* e (cos v)))
36.0ms	(* (* e (cos v)) (* e (cos v)))
31.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v))
70.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (* e (cos v)) (* e (cos v)))
96.0ms	(* (* e (cos v)) (* e (cos v)))
220.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v))
176.0ms	(* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (* (/ (sqrt e) (sqrt (- 1 (* (* e (cos v)) (* e (cos v)))))) (sin v)))

simplify1.3s

Counts

240 → 240

Iterations

Iter	Nodes
done	2003
2	2003
1	858
0	295

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes129.0ms

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	17
1	17
0	12

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.5s	1518×	body	1280	valid
1.4s	4268×	body	80	valid
1.2s	1230×	body	640	valid
548.0ms	671×	body	320	valid
322.0ms	8000×	pre	80	true
165.0ms	313×	body	160	valid