Details

sample201.0ms

Algorithm

intervals

Results

33.0ms	54×	body	1280	valid
16.0ms	39×	body	640	valid
14.0ms	137×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	18×	body	320	valid
2.0ms	8×	body	160	valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	9	283
1	14	283
2	18	258
3	21	258
4	23	258
5	24	258
done	24	258

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

9.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
10.0ms	(* e (sin v))

series178.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
59.0ms	(* e (sin v))

simplify3.1s

Counts

49 → 49

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	93	14411
1	229	12552
2	717	12392
3	3334	12057
done	5005	11927

prune357.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 63

Calls

2 calls:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
23.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ (sin v) (fma (cos v) e 1.0))
139.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify4.0s

Counts

69 → 69

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	130	27731
1	328	23948
2	1105	23626
3	4832	22986
done	5000	22961

prune467.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

4.0ms	(/ (fma (cos v) e 1.0) (sin v))
8.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series219.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ (fma (cos v) e 1.0) (sin v))
140.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	197	51459
1	475	48250
2	1443	47315
done	5001	47009

prune710.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/r*` `div-inv`
7×	`associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `distribute-rgt-out` `div-exp` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/r/`
2×	`prod-exp` `cbrt-unprod`
1×	`flip3-+` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(/ 1.0 (sin v))
13.0ms	(* e (cos v))
17.0ms	(/ (* e (cos v)) (sin v))
52.0ms	(/ e (+ (/ (* e (cos v)) (sin v)) (/ 1.0 (sin v))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1.0 (sin v))
66.0ms	(* e (cos v))
131.0ms	(/ (* e (cos v)) (sin v))
220.0ms	(/ e (+ (/ (* e (cos v)) (sin v)) (/ 1.0 (sin v))))

simplify1.9s

Counts

124 → 124

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	204	39241
1	471	36050
2	1773	35661
done	5003	34526

prune662.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	258
1	9	258
done	9	258

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	1521×	body	1280	valid
922.0ms	4337×	body	80	valid
708.0ms	1224×	body	640	valid
291.0ms	634×	body	320	valid
203.0ms	8000×	pre	80	true
72.0ms	284×	body	160	valid