Details

sample54.0ms

Algorithm

intervals

Results

16.0ms	41×	body	1280	valid
12.0ms	151×	body	80	valid
10.0ms	40×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
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 x (sin y) (* z (cos y)))
9.0ms	(* z (cos y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(fma x (sin y) (* z (cos y)))
38.0ms	(* z (cos y))

simplify2.0s

Counts

36 → 36

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	50	271
1	85	266
2	167	237
3	324	233
4	757	233
5	3020	233
done	5000	233

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite19.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series459.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune278.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
23.0ms	(* z (pow (pow (cos y) 2) 1/3))
6.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series246.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
96.0ms	(* z (pow (pow (cos y) 2) 1/3))
17.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify2.4s

Counts

110 → 110

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	141	1143
1	310	945
2	873	842
3	3638	778
done	5000	769

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(log (exp (cbrt (cos y))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`unpow-prod-down`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
12×	`associate-r`
7×	`log-pow` `add-cbrt-cube`
6×	`pow1` `cbrt-prod` `exp-prod` `unswap-sqr`
5×	`pow-exp` `prod-exp` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `log-prod` `associate-l` `unpow2`
2×	`cbrt-unprod`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `*-commutative`

Counts

4 → 91

Calls

4 calls:

22.0ms	(* z (pow (pow (cos y) 2) 1/3))
4.0ms	(log (exp (cbrt (cos y))))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series317.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* z (pow (pow (cos y) 2) 1/3))
104.0ms	(log (exp (cbrt (cos y))))
17.0ms	(pow (cos y) 2)
97.0ms	(cbrt (cos y))

simplify887.0ms

Counts

103 → 103

Iterations

Useful iterations: done (885.0ms)

Iter	Nodes	Cost
0	145	889
1	270	709
2	563	636
3	1529	626
done	5000	624

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

625.0ms	1504×	body	1280	valid
317.0ms	1243×	body	640	valid
247.0ms	4298×	body	80	valid
114.0ms	638×	body	320	valid
39.0ms	317×	body	160	valid