Details

sample64.0ms

Algorithm

intervals

Results

23.0ms	49×	body	1280	valid
12.0ms	40×	body	640	valid
9.0ms	140×	body	80	valid
3.0ms	13×	body	320	valid
2.0ms	14×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (sin y) z (* x (cos y)))
0.1b	(* x (cos y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (sin y) z (* x (cos y)))
11.0ms	(* x (cos y))

series183.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(fma (sin y) z (* x (cos y)))
58.0ms	(* x (cos y))

simplify3.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	2152
3	621
2	211
1	91
0	50

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
140.0ms	(cbrt (cos y))
160.0ms	(cbrt (cos y))
137.0ms	(cbrt (cos y))

simplify5.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4766
3	1197
2	374
1	149
0	68

prune635.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (* (cos y) (cos y)) 1/3))
0.2b	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 95

Calls

4 calls:

15.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
62.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series380.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
67.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
132.0ms	(cbrt (cos y))

simplify3.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	3686
2	1018
1	347
0	135

prune661.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

0.0ms	(log1p (expm1 (cbrt (cos y))))
12.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(log1p (expm1 (cbrt (cos y))))
18.0ms	(* (cos y) (cos y))
142.0ms	(cbrt (cos y))
325.0ms	(expm1 (cbrt (cos y)))

simplify2.7s

Counts

76 → 76

Iterations

Iter	Nodes
done	5004
4	3761
3	1204
2	492
1	225
0	98

prune472.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes360.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.5s	1491×	body	1280	valid
1.1s	1300×	body	640	valid
579.0ms	4233×	body	80	valid
238.0ms	644×	body	320	valid
74.0ms	332×	body	160	valid