Details

sample305.0ms

Algorithm

intervals

Results

65.0ms	56×	body	1280	valid
55.0ms	143×	body	80	valid
51.0ms	28×	body	640	valid
12.0ms	24×	body	320	valid
10.0ms	256×	pre	80	true
3.0ms	5×	body	160	valid

simplify117.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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:

21.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
47.0ms	(* e (sin v))

series357.0ms

Counts

2 → 6

Calls

2 calls:

189.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
168.0ms	(* e (sin v))

simplify973.0ms

Counts

49 → 49

Iterations

Useful iterations: done (969.0ms)

Iter	Nodes	Cost
0	93	565
1	228	549
2	1160	477
done	5001	471

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

60.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
26.0ms	(* (sqrt e) (sin v))
41.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series351.0ms

Counts

3 → 9

Calls

3 calls:

185.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
107.0ms	(* (sqrt e) (sin v))
59.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	165	1191
1	457	1128
2	2469	840
done	5001	803

prune371.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.3b	(* (sqrt (sqrt e)) (sin v))
0.3b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
24×	`associate-l`
23×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 101

Calls

4 calls:

5.0ms	(sqrt (sqrt e))
146.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
18.0ms	(* (sqrt (sqrt e)) (sin v))
65.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(sqrt (sqrt e))
80.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
142.0ms	(* (sqrt (sqrt e)) (sin v))
114.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	160	1367
1	420	1268
2	2035	829
done	5001	798

prune429.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin v)) (cbrt (sin v)))
0.7b	(cbrt (sin v))
0.7b	(cbrt (sin v))
0.7b	(cbrt (sin v))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (cbrt (sin v)) (cbrt (sin v)))
3.0ms	(cbrt (sin v))
3.0ms	(cbrt (sin v))
2.0ms	(cbrt (sin v))

series623.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (sin v)) (cbrt (sin v)))
130.0ms	(cbrt (sin v))
168.0ms	(cbrt (sin v))
147.0ms	(cbrt (sin v))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	79	750
1	182	665
2	716	564
done	5000	549

prune463.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.7s	1264×	body	640	valid
1.5s	1526×	body	1280	valid
598.0ms	4266×	body	80	valid
319.0ms	634×	body	320	valid
155.0ms	8000×	pre	80	true
71.0ms	310×	body	160	valid