Details

sample55.0ms

Algorithm

intervals

Results

20.0ms	46×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	133×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

12.0ms	(+ (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x (cos y)) (* z (sin y)))
38.0ms	(* x (cos y))
36.0ms	(* z (sin y))

simplify76.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	268
1	698	247
2	2213	247
3	5001	247

prune150.0ms

Filtered

60 candidates to 40 candidates (66.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	49	11	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	11	61

Merged error: 0.0b

Counts

61 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite12.0ms

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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series439.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	131	478
1	525	405
2	3653	363
3	5001	357

prune278.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Merged error: 0.0b

Counts

99 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`cbrt-prod`
27×	`associate-l` `unswap-sqr`
17×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-cbrt-cube`
12×	`unpow-prod-down`
10×	`pow1` `add-exp-log` `cbrt-unprod`
6×	`unpow2` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`pow1/3` `*-commutative`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 105

Calls

4 calls:

14.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series320.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
23.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))
160.0ms	(cbrt (pow (cos y) 2))

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	362	863
1	1572	745
2	5001	711

prune403.0ms

Filtered

117 candidates to 80 candidates (68.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	117	12	129

Merged error: 0.0b

Counts

129 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`pow1` `add-exp-log` `unpow-prod-down` `exp-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow1/3` `rem-log-exp` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 64

Calls

4 calls:

3.0ms	(log (exp (cbrt (cos y))))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series385.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(log (exp (cbrt (cos y))))
17.0ms	(pow (cos y) 2)
104.0ms	(cbrt (cos y))
164.0ms	(cbrt (pow (cos y) 2))

simplify84.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	177	317
1	531	279
2	1874	267
3	5002	266

prune278.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	76	12	88

Merged error: 0.0b

Counts

88 → 12

regimes144.0ms

Accuracy

0% (0.2b 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	19	12
1	19	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

652.0ms	1433×	body	1280	valid
342.0ms	1213×	body	640	valid
279.0ms	4439×	body	80	valid
110.0ms	585×	body	320	valid
47.0ms	330×	body	160	valid