Details

sample273.0ms

Algorithm

intervals

Results

60.0ms	41×	body	640	valid
52.0ms	53×	body	1280	valid
20.0ms	128×	body	80	valid
10.0ms	21×	body	320	valid
9.0ms	256×	pre	80	true
4.0ms	13×	body	160	valid

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	24
5	24
4	23
3	21
2	18
1	16
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite88.0ms

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))))
15.0ms	(* e (cos v))
42.0ms	(* e (sin v))

series407.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
126.0ms	(* e (cos v))
117.0ms	(* e (sin v))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
3	3249
2	786
1	268
0	114

prune796.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite58.0ms

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:

8.0ms	(* e (cos v))
38.0ms	(/ (+ 1 (* e (cos v))) (sin v))
10.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* e (cos v))
119.0ms	(/ (+ 1 (* e (cos v))) (sin v))
144.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify2.2s

Counts

129 → 129

Iterations

Iter	Nodes
3	4765
2	1399
1	528
0	216

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

5636×	`times-frac`
2389×	`add-sqr-sqrt`
2385×	`*-un-lft-identity` `add-cube-cbrt`
1281×	`sqrt-prod`
166×	`div-inv`
77×	`associate-/l*`
38×	`add-exp-log`
31×	`add-cbrt-cube`
25×	`associate-/r*`
24×	`associate-/r/`
23×	`div-exp`
16×	`cbrt-undiv`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 1762

Calls

4 calls:

15.0ms	(* e (cos v))
14.0ms	(* e (cos v))
9.0ms	(/ (sqrt (+ 1 (* e (cos v)))) (sin v))
21.0ms	(/ (/ e (/ (sqrt (+ 1 (* e (cos v)))) 1)) (/ (sqrt (+ 1 (* e (cos v)))) (sin v)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* e (cos v))
65.0ms	(* e (cos v))
141.0ms	(/ (sqrt (+ 1 (* e (cos v)))) (sin v))
125.0ms	(/ (/ e (/ (sqrt (+ 1 (* e (cos v)))) 1)) (/ (sqrt (+ 1 (* e (cos v)))) (sin v)))

simplify7.6s

Counts

1774 → 1774

Iterations

Iter	Nodes
1	7970
0	2281

prune26.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
0.4b	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
0.4b	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
0.5b	(* (cbrt (/ (+ 1 (* e (cos v))) (sin v))) (cbrt (/ (+ 1 (* e (cos v))) (sin v))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

3.0ms	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
3.0ms	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
6.0ms	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
36.0ms	(* (cbrt (/ (+ 1 (* e (cos v))) (sin v))) (cbrt (/ (+ 1 (* e (cos v))) (sin v))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
121.0ms	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
134.0ms	(cbrt (/ (+ 1 (* e (cos v))) (sin v)))
163.0ms	(* (cbrt (/ (+ 1 (* e (cos v))) (sin v))) (cbrt (/ (+ 1 (* e (cos v))) (sin v))))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
3	3230
2	1115
1	438
0	209

prune2.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	14
1	14
0	9

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.9s	1474×	body	1280	valid
1.2s	1257×	body	640	valid
1.2s	4331×	body	80	valid
386.0ms	643×	body	320	valid
289.0ms	8000×	pre	80	true
144.0ms	295×	body	160	valid