Details

sample104.0ms

Algorithm

intervals

Results

34.0ms	37×	body	1280	valid
21.0ms	176×	body	80	valid
15.0ms	25×	body	640	valid
3.0ms	8×	body	320	valid
3.0ms	10×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	21
1	13
0	8

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`fma-def` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

12.0ms	(+ x (sin y))
58.0ms	(+ (+ x (sin y)) (* z (cos y)))
14.0ms	(* z (cos y))

series166.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (sin y))
72.0ms	(+ (+ x (sin y)) (* z (cos y)))
56.0ms	(* z (cos y))

simplify2.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5010
3	2770
2	681
1	218
0	85

prune382.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

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))

rewrite27.0ms

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:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series621.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
127.0ms	(cbrt (cos y))
142.0ms	(cbrt (cos y))
123.0ms	(cbrt (cos y))

simplify4.0s

Counts

93 → 93

Iterations

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

prune560.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
21×	`pow1`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`associate-r`
6×	`cbrt-prod` `pow-pow` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `swap-sqr` `pow-prod-down`
2×	`pow2` `pow-to-exp` `pow-plus` `unpow1/3` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sqr-cos` `unpow-prod-down` `pow1/3` `cos-mult` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

7.0ms	(pow (* (cos y) (cos y)) 1/3)
34.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
19.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series372.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(pow (* (cos y) (cos y)) 1/3)
40.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
21.0ms	(* (cos y) (cos y))
104.0ms	(cbrt (cos y))

simplify2.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
3	3533
2	1173
1	367
0	136

prune519.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(log1p (cbrt (cos y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`expm1-log1p-u`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log1p-udef` `log1p-expm1`

Counts

4 → 50

Calls

4 calls:

8.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
1.0ms	(log1p (cbrt (cos y)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (cos y))
142.0ms	(cbrt (cos y))
132.0ms	(cbrt (cos y))
196.0ms	(log1p (cbrt (cos y)))

simplify2.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5008
5	3254
4	1122
3	387
2	160
1	83
0	48

prune370.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes383.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	970×	body	1280	valid
684.0ms	5519×	body	80	valid
478.0ms	870×	body	640	valid
126.0ms	433×	body	320	valid
42.0ms	207×	body	160	valid
2.0ms	1×	body	2560	valid