Details

sample441.0ms

Algorithm

intervals

Results

159.0ms	128×	body	80	valid
41.0ms	41×	body	1280	valid
39.0ms	51×	body	640	valid
11.0ms	24×	body	320	valid
7.0ms	12×	body	160	valid
7.0ms	256×	pre	80	true

simplify56.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	14
0	9

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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

Calls

3 calls:

30.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
20.0ms	(* e (sin v))
45.0ms	(* e (cos v))

series369.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
81.0ms	(* e (sin v))
115.0ms	(* e (cos v))

simplify5.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	4406
2	1000
1	309
0	124

prune582.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 96

Calls

4 calls:

75.0ms	(* (* e (cos v)) (* e (cos v)))
17.0ms	(* e (cos v))
17.0ms	(* e (cos v))
18.0ms	(* e (cos v))

series309.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (* e (cos v)) (* e (cos v)))
68.0ms	(* e (cos v))
70.0ms	(* e (cos v))
66.0ms	(* e (cos v))

simplify4.5s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
3	2536
2	524
1	154
0	62

prune737.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

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))))))

rewrite197.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 162

Calls

4 calls:

30.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
18.0ms	(* e (cos v))
18.0ms	(* e (cos v))
119.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
70.0ms	(* e (cos v))
64.0ms	(* e (cos v))
159.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify3.1s

Counts

174 → 174

Iterations

Iter	Nodes
done	5001
2	2371
1	687
0	245

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))))
0.1b	(expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
0.2b	(log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
27×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-prod`
8×	`pow1`
6×	`associate-r`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp` `unswap-sqr`
3×	`prod-exp` `cbrt-unprod`
2×	`sqrt-div` `pow-prod-down` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `div-exp` `associate-*l/` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 88

Calls

4 calls:

18.0ms	(* e (cos v))
73.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))))
1.0ms	(expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
1.0ms	(log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

68.0ms	(* e (cos v))
1.0s	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))))
267.0ms	(expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
288.0ms	(log1p (expm1 (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

simplify3.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5004
2	2103
1	580
0	222

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	1482×	body	1280	valid
849.0ms	1256×	body	640	valid
771.0ms	4344×	body	80	valid
403.0ms	8000×	pre	80	true
334.0ms	610×	body	320	valid
91.0ms	308×	body	160	valid