Details

sample105.0ms

Algorithm

intervals

Results

37.0ms	46×	body	1280	valid
24.0ms	43×	body	640	valid
15.0ms	132×	body	80	valid
8.0ms	20×	body	320	valid
4.0ms	15×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

1.0ms	(fma x (sin y) (* z (cos y)))
19.0ms	(* z (cos y))

series185.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(fma x (sin y) (* z (cos y)))
70.0ms	(* z (cos y))

simplify3.6s

Counts

36 → 36

Iterations

Useful iterations: 3 (100.0ms)

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

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series736.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
193.0ms	(cbrt (cos y))
153.0ms	(cbrt (cos y))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: done (2.8s)

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

prune375.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

65.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
6.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series523.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
264.0ms	(cbrt (pow (cos y) 2))
161.0ms	(cbrt (cos y))

simplify3.5s

Counts

86 → 86

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	112	763
1	238	704
2	720	610
3	3092	590
done	5000	579

prune456.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down`
1×	`unpow2` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series722.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (pow (cos y) 2))
147.0ms	(cbrt (cos y))
146.0ms	(cbrt (cos y))
168.0ms	(cbrt (cos y))

simplify3.2s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	62	473
1	114	436
2	245	389
3	652	376
4	3602	371
done	5000	371

prune439.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes130.0ms

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

sample3.9s

Algorithm

intervals

Results

1.5s	1531×	body	1280	valid
1.0s	4286×	body	80	valid
784.0ms	1235×	body	640	valid
210.0ms	610×	body	320	valid
80.0ms	338×	body	160	valid