Details

sample275.0ms

Algorithm

intervals

Results

52.0ms	256×	pre	80	true
33.0ms	44×	body	1280	valid
22.0ms	44×	body	640	valid
16.0ms	137×	body	80	valid
9.0ms	23×	body	320	valid
2.0ms	8×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	10
3	23	10
4	24	10
done	24	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

25.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
25.0ms	(* e (sin v))

series277.0ms

Counts

2 → 6

Calls

2 calls:

188.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
89.0ms	(* e (sin v))

simplify2.7s

Counts

49 → 49

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	93	565
1	217	549
2	708	469
3	2925	465
done	5000	465

prune195.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* e (sin v)) (/ 1 (fma (cos v) e 1.0)))
0.0b	(/ 1 (fma (cos v) e 1.0))
0.1b	(* e (sin v))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
18×	`times-frac`
16×	`associate-r`
13×	`prod-exp`
11×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 93

Calls

3 calls:

64.0ms	(* (* e (sin v)) (/ 1 (fma (cos v) e 1.0)))
11.0ms	(/ 1 (fma (cos v) e 1.0))
19.0ms	(* e (sin v))

series289.0ms

Counts

3 → 9

Calls

3 calls:

177.0ms	(* (* e (sin v)) (/ 1 (fma (cos v) e 1.0)))
45.0ms	(/ 1 (fma (cos v) e 1.0))
67.0ms	(* e (sin v))

simplify4.3s

Counts

102 → 102

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	155	1329
1	373	1157
2	1167	991
3	4362	985
done	5000	981

prune358.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* e (sin v)) (sqrt (/ 1 (fma (cos v) e 1.0))))
0.0b	(/ 1 (fma (cos v) e 1.0))
0.0b	(/ 1 (fma (cos v) e 1.0))
0.1b	(* e (sin v))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

46.0ms	(* (* e (sin v)) (sqrt (/ 1 (fma (cos v) e 1.0))))
6.0ms	(/ 1 (fma (cos v) e 1.0))
6.0ms	(/ 1 (fma (cos v) e 1.0))
16.0ms	(* e (sin v))

series460.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (* e (sin v)) (sqrt (/ 1 (fma (cos v) e 1.0))))
49.0ms	(/ 1 (fma (cos v) e 1.0))
55.0ms	(/ 1 (fma (cos v) e 1.0))
57.0ms	(* e (sin v))

simplify3.2s

Counts

132 → 132

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	180	1736
1	410	1536
2	1181	1391
3	4362	1375
done	5000	1375

prune603.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ (fma (cos v) e 1.0) (sin v))
19.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series253.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(/ (fma (cos v) e 1.0) (sin v))
127.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify3.1s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	197	1980
1	426	1894
2	1315	1785
3	4104	1777
done	5000	1777

prune467.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes132.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	14	12
done	14	12

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.8s	1461×	body	1280	valid
785.0ms	1326×	body	640	valid
546.0ms	4271×	body	80	valid
328.0ms	8000×	pre	80	true
314.0ms	642×	body	320	valid
66.0ms	300×	body	160	valid