Details

sample123.0ms

Algorithm

intervals

Results

38.0ms	38×	body	640	valid
35.0ms	44×	body	1280	valid
18.0ms	150×	body	80	valid
7.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

26.0ms	(- (* x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series209.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* x (cos y)) (* z (sin y)))
68.0ms	(* z (sin y))
43.0ms	(* x (cos y))

simplify2.7s

Counts

65 → 65

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	92	527
1	203	495
2	636	460
3	3467	459
done	5001	453

prune450.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

0.0ms	(fma x (cos y) (* (- (sin y)) z))
33.0ms	(* (- (sin y)) z)

series158.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(fma x (cos y) (* (- (sin y)) z))
44.0ms	(* (- (sin y)) z)

simplify567.0ms

Counts

44 → 44

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	61	351
1	133	343
2	629	307
done	5001	307

prune290.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite20.0ms

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series687.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
161.0ms	(cbrt (cos y))
129.0ms	(cbrt (cos y))
133.0ms	(cbrt (cos y))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	637	551
done	5001	537

prune893.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

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:

28.0ms	(* x (pow (pow (cos y) 2) 1/3))
89.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* x (pow (pow (cos y) 2) 1/3))
61.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
126.0ms	(cbrt (cos y))

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	141	1143
1	372	954
2	1861	846
done	5001	824

prune657.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	26
1	23	26
done	23	26

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	1474×	body	1280	valid
1.1s	1243×	body	640	valid
901.0ms	4385×	body	80	valid
314.0ms	597×	body	320	valid
72.0ms	301×	body	160	valid