Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	37×	body	1280	valid
11.0ms	176×	body	80	valid
7.0ms	23×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	5×	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))
0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite16.0ms

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:

4.0ms	(+ x (cos y))
6.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series110.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (cos y))
44.0ms	(- (+ x (cos y)) (* z (sin y)))
42.0ms	(* z (sin y))

simplify276.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (92.0ms)

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

prune151.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
121.0ms	(cbrt (* z (sin y)))
119.0ms	(cbrt (* z (sin y)))
122.0ms	(cbrt (* z (sin y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3129	396
3	5002	368

prune214.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt (sin y))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
101.0ms	(cbrt (sin y))
116.0ms	(cbrt (* z (sin y)))
119.0ms	(cbrt (* z (sin y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune215.0ms

Filtered

60 candidates to 51 candidates (85.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt (sin y))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt z)
99.0ms	(cbrt (sin y))
118.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune230.0ms

Filtered

60 candidates to 51 candidates (85.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

regimes102.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

467.0ms	976×	body	1280	valid
360.0ms	5576×	body	80	valid
247.0ms	837×	body	640	valid
81.0ms	392×	body	320	valid
35.0ms	219×	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