Details

sample274.0ms

Algorithm

intervals

Results

83.0ms	57×	body	1280	valid
64.0ms	36×	body	640	valid
14.0ms	129×	body	80	valid
7.0ms	22×	body	320	valid
7.0ms	256×	pre	80	true
4.0ms	12×	body	160	valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite146.0ms

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:

50.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
68.0ms	(* e (sin v))

series378.0ms

Counts

2 → 6

Calls

2 calls:

259.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
119.0ms	(* e (sin v))

simplify2.4s

Counts

49 → 49

Iterations

Useful iterations: 3 (1.1s)

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

prune185.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite39.0ms

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:

11.0ms	(/ (fma (cos v) e 1.0) (sin v))
20.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series256.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (fma (cos v) e 1.0) (sin v))
158.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify2.8s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.4s)

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

prune488.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt e) (fma (cos v) e 1.0))
0.3b	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 109

Calls

3 calls:

10.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
68.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))
13.0ms	(* (sqrt e) (sin v))

series462.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
168.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))
109.0ms	(* (sqrt e) (sin v))

simplify2.2s

Counts

118 → 118

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	232	1979
1	618	1760
2	2186	1566
done	5000	1530

prune478.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sin v)) (sqrt e)))
0.3b	(/ (/ (fma (cos v) e 1.0) (sin v)) (sqrt e))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
737×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 742

Calls

3 calls:

12.0ms	(/ (fma (cos v) e 1.0) (sin v))
41.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sin v)) (sqrt e)))
24.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) (sqrt e))

series435.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (fma (cos v) e 1.0) (sin v))
183.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sin v)) (sqrt e)))
166.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) (sqrt e))

simplify2.1s

Counts

751 → 751

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	942	22838
1	2109	21047
done	5001	19694

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.1s	1499×	body	1280	valid
675.0ms	1192×	body	640	valid
645.0ms	4301×	body	80	valid
294.0ms	8000×	pre	80	true
231.0ms	687×	body	320	valid
79.0ms	321×	body	160	valid