Details

sample55.0ms

Algorithm

intervals

Results

17.0ms	32×	body	1280	valid
13.0ms	182×	body	80	valid
8.0ms	25×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `sum-log`
2×	`+-commutative` `associate-+l+`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

14.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series79.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (+ x (sin y)) (* z (cos y)))
38.0ms	(* z (cos y))

simplify68.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	150	215
1	581	199
2	2298	199
3	5001	199

prune70.0ms

Filtered

42 candidates to 28 candidates (33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

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)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series768.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt z) (cbrt z))
183.0ms	(cbrt z)
184.0ms	(cbrt z)
192.0ms	(cbrt z)

simplify92.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune197.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
0.5b	(cbrt (+ (+ x (sin y)) (* z (cos y))))
0.5b	(cbrt (+ (+ x (sin y)) (* z (cos y))))
0.5b	(cbrt (+ (+ x (sin y)) (* z (cos y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

173×	`*-un-lft-identity`
93×	`cbrt-prod`
90×	`distribute-lft-out`
40×	`associate-l`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 134

Calls

4 calls:

24.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
9.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
9.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
9.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

series706.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
176.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
179.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
175.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	363	2181
1	1430	2047
2	5001	1696

prune280.0ms

Filtered

146 candidates to 75 candidates (48.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	143	3	146
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	144	7	151

Merged error: 0.0b

Counts

151 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x (sin y)) (* z (cos y))))
0.5b	(cbrt (cbrt (+ (+ x (sin y)) (* z (cos y)))))
0.6b	(cbrt (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))))
0.9b	(pow (cbrt (cbrt (+ (+ x (sin y)) (* z (cos y))))) 4)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

178×	`*-un-lft-identity`
172×	`cbrt-prod`
90×	`distribute-lft-out`
40×	`associate-l`
30×	`swap-sqr`
28×	`add-sqr-sqrt`
26×	`cbrt-div`
20×	`add-cube-cbrt`
13×	`unpow-prod-down`
10×	`associate-r`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `*-commutative` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

9.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
11.0ms	(cbrt (cbrt (+ (+ x (sin y)) (* z (cos y)))))
28.0ms	(cbrt (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))))
10.0ms	(pow (cbrt (cbrt (+ (+ x (sin y)) (* z (cos y))))) 4)

series835.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
180.0ms	(cbrt (cbrt (+ (+ x (sin y)) (* z (cos y)))))
173.0ms	(cbrt (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))))
309.0ms	(pow (cbrt (cbrt (+ (+ x (sin y)) (* z (cos y))))) 4)

simplify86.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	647	2684
1	2335	2592
2	5001	2395

prune545.0ms

Filtered

152 candidates to 80 candidates (47.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	152	7	159

Merged error: 0.0b

Counts

159 → 7

regimes159.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

392.0ms	956×	body	1280	valid
296.0ms	5585×	body	80	valid
211.0ms	849×	body	640	valid
71.0ms	395×	body	320	valid
26.0ms	215×	body	160	valid