Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	26×	body	1280	valid
9.0ms	179×	body	80	valid
7.0ms	25×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 3 expressions with local error:

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

rewrite19.0ms

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:

10.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series107.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
37.0ms	(* z (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (88.0ms)

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

prune153.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize16.0ms

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`
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:

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

series690.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt z) (cbrt z))
171.0ms	(cbrt z)
166.0ms	(cbrt z)
170.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

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

prune238.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize21.0ms

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)))

rewrite13.0ms

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)
4.0ms	(cbrt (* (cbrt z) (cbrt z)))
4.0ms	(cbrt (* (cbrt z) (cbrt z)))
4.0ms	(cbrt (* (cbrt z) (cbrt z)))

series961.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt z)
271.0ms	(cbrt (* (cbrt z) (cbrt z)))
263.0ms	(cbrt (* (cbrt z) (cbrt z)))
254.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (79.0ms)

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

prune209.0ms

Filtered

58 candidates to 56 candidates (96.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
0.4b	(cbrt (+ x (cos y)))
0.4b	(cbrt (+ x (cos y)))
0.4b	(cbrt (+ x (cos y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
3.0ms	(cbrt (+ x (cos y)))
3.0ms	(cbrt (+ x (cos y)))
3.0ms	(cbrt (+ x (cos y)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
71.0ms	(cbrt (+ x (cos y)))
70.0ms	(cbrt (+ x (cos y)))
67.0ms	(cbrt (+ x (cos y)))

simplify148.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	297	1027
1	1042	964
2	4950	897
3	5001	897

prune280.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	115	9	124

Merged error: 0.0b

Counts

124 → 9

regimes156.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

385.0ms	969×	body	1280	valid
307.0ms	5624×	body	80	valid
202.0ms	793×	body	640	valid
69.0ms	421×	body	320	valid
22.0ms	193×	body	160	valid

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

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

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