Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	26×	body	1280	valid
9.0ms	183×	body	80	valid
6.0ms	23×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	13×	body	160	valid

simplify24.0ms

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: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:

50.0ms	(- (+ x (cos y)) (* z (sin y)))
7.0ms	(+ x (cos y))
10.0ms	(* z (sin y))

series117.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
25.0ms	(+ x (cos y))
43.0ms	(* z (sin y))

simplify87.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (83.0ms)

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

prune166.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series730.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt z) (cbrt z))
180.0ms	(cbrt z)
182.0ms	(cbrt z)
175.0ms	(cbrt z)

simplify85.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune267.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt z)
5.0ms	(cbrt (* (cbrt z) (cbrt z)))
8.0ms	(cbrt (* (cbrt z) (cbrt z)))
5.0ms	(cbrt (* (cbrt z) (cbrt z)))

series990.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt z)
264.0ms	(cbrt (* (cbrt z) (cbrt z)))
277.0ms	(cbrt (* (cbrt z) (cbrt z)))
273.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify81.0ms

Counts

58 → 58

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	82	262
1	172	232
2	563	218
3	2341	218
4	5002	217
done	5002	217

prune249.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt z) (sin y))
0.3b	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
0.6b	(cbrt z)
31.8b	(cbrt (pow z 2))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

15.0ms	(* (cbrt z) (sin y))
30.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
1.0ms	(cbrt z)
2.0ms	(cbrt (pow z 2))

series519.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cbrt z) (sin y))
53.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
183.0ms	(cbrt z)
187.0ms	(cbrt (pow z 2))

simplify32.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	237	455
1	877	407
2	5002	394
done	5002	394

prune314.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes109.0ms

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

419.0ms	996×	body	1280	valid
285.0ms	5566×	body	80	valid
198.0ms	814×	body	640	valid
72.0ms	409×	body	320	valid
25.0ms	214×	body	160	valid
2.0ms	1×	body	2560	valid