Details

sample378.0ms

Algorithm

intervals

Results

37.0ms	42×	body	1280	valid
25.0ms	41×	body	640	valid
19.0ms	146×	body	80	valid
7.0ms	256×	pre	80	true
6.0ms	15×	body	320	valid
3.0ms	12×	body	160	valid

simplify388.0ms

Counts

1 → 1

Iterations

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

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
29.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) e)

series575.0ms

Counts

2 → 6

Calls

2 calls:

291.0ms	(/ (sin v) (fma (cos v) e 1.0))
282.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) e)

simplify6.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5015
3	4048
2	1020
1	330
0	133

prune868.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.1b	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))) e)
0.2b	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
0.4b	(log1p (/ (sin v) (fma (cos v) e 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

15.0ms	(/ (sin v) (fma (cos v) e 1.0))
10.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))) e)
1.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
1.0ms	(log1p (/ (sin v) (fma (cos v) e 1.0)))

series897.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (sin v) (fma (cos v) e 1.0))
271.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))) e)
268.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
223.0ms	(log1p (/ (sin v) (fma (cos v) e 1.0)))

simplify3.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1299
1	368
0	161

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.2b	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
19×	`add-cbrt-cube` `add-exp-log`
14×	`associate-l`
12×	`associate-r`
10×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `unswap-sqr`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `associate-l/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg`

Counts

3 → 97

Calls

3 calls:

12.0ms	(/ (sin v) (fma (cos v) e 1.0))
50.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
104.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))

series591.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(/ (sin v) (fma (cos v) e 1.0))
248.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
204.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))

simplify4.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2106
1	541
0	195

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (/ (sin v) (fma e (cos v) 1.0)) (fabs (cbrt e))) (sqrt (cbrt e))) (sqrt e))
0.3b	(* (* (/ (sin v) (fma e (cos v) 1.0)) (fabs (cbrt e))) (sqrt (cbrt e)))
0.7b	(cbrt e)
0.7b	(cbrt e)

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
15×	`associate-r`
14×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `pow-prod-down` `sqrt-prod`
5×	`associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow1/3` `div-exp` `associate-l` `*-commutative`

Counts

4 → 88

Calls

4 calls:

228.0ms	(* (* (* (/ (sin v) (fma e (cos v) 1.0)) (fabs (cbrt e))) (sqrt (cbrt e))) (sqrt e))
71.0ms	(* (* (/ (sin v) (fma e (cos v) 1.0)) (fabs (cbrt e))) (sqrt (cbrt e)))
4.0ms	(cbrt e)
3.0ms	(cbrt e)

series1.5s

Counts

4 → 12

Calls

4 calls:

541.0ms	(* (* (* (/ (sin v) (fma e (cos v) 1.0)) (fabs (cbrt e))) (sqrt (cbrt e))) (sqrt e))
333.0ms	(* (* (/ (sin v) (fma e (cos v) 1.0)) (fabs (cbrt e))) (sqrt (cbrt e)))
343.0ms	(cbrt e)
323.0ms	(cbrt e)

simplify5.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	2919
1	726
0	247

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes494.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.2s	1478×	body	1280	valid
848.0ms	4318×	body	80	valid
739.0ms	1263×	body	640	valid
675.0ms	8000×	pre	80	true
246.0ms	635×	body	320	valid
108.0ms	306×	body	160	valid