Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	35×	body	1280	valid
9.0ms	184×	body	80	valid
4.0ms	17×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5
done	396	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

6.0ms	(+ x (cos y))
47.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (cos y))
50.0ms	(- (+ x (cos y)) (* z (sin y)))
37.0ms	(* z (sin y))

simplify85.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	223	348
1	754	317
2	3691	316
3	5001	309
done	5001	309

prune164.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

13.0ms	(+ x (- (cos y) (* z (sin y))))
7.0ms	(- (cos y) (* z (sin y)))
9.0ms	(* z (sin y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (- (cos y) (* z (sin y))))
49.0ms	(- (cos y) (* z (sin y)))
38.0ms	(* z (sin y))

simplify91.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	242	398
1	814	365
2	3907	357
3	5001	352
done	5001	352

prune190.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin y) z)
0.3b	(cbrt (cos y))
0.3b	(pow (cbrt (cos y)) 3)
49.7b	(fma (- (sin y)) z (* (sin y) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `cube-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`pow-pow` `pow1/3`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

10.0ms	(* (sin y) z)
1.0ms	(cbrt (cos y))
4.0ms	(pow (cbrt (cos y)) 3)
0.0ms	(fma (- (sin y)) z (* (sin y) z))

series289.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (sin y) z)
95.0ms	(cbrt (cos y))
123.0ms	(pow (cbrt (cos y)) 3)
30.0ms	(fma (- (sin y)) z (* (sin y) z))

simplify38.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	224	343
1	996	294
2	5002	290
done	5002	290

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
49.1b	(fma (- (sin y)) z (* (* (sin y) (* (cbrt z) (cbrt z))) (cbrt z)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
0.0ms	(fma (- (sin y)) z (* (* (sin y) (* (cbrt z) (cbrt z))) (cbrt z)))

series584.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt z)
180.0ms	(cbrt z)
176.0ms	(cbrt z)
41.0ms	(fma (- (sin y)) z (* (* (sin y) (* (cbrt z) (cbrt z))) (cbrt z)))

simplify396.0ms

Counts

61 → 61

Iterations

Useful iterations: 4 (393.0ms)

Iter	Nodes	Cost
0	68	264
1	152	234
2	517	227
3	3314	200
4	5001	180
done	5001	180

prune262.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

418.0ms	1036×	body	1280	valid
283.0ms	5574×	body	80	valid
202.0ms	812×	body	640	valid
63.0ms	390×	body	320	valid
21.0ms	188×	body	160	valid