Details

sample52.0ms

Algorithm

intervals

Results

19.0ms	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

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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)))
0.1b	(* x (cos y))
0.1b	(* z (sin y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`associate-l`
12×	`fma-def`
10×	`add-cube-cbrt`
9×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`distribute-lft-out`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `unswap-sqr`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 69

Calls

3 calls:

13.0ms	(+ (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
41.0ms	(* z (sin y))

simplify73.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	195	284
1	748	260
2	2510	260
3	5003	259

prune203.0ms

Filtered

78 candidates to 58 candidates (74.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	67	11	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

localize12.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

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))

series460.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
105.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify110.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	137	508
1	544	435
2	3708	393
3	5001	387

prune311.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	95	12	107

Merged error: 0.0b

Counts

107 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

4.0ms	(* z (sin y))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series323.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (sin y))
17.0ms	(pow (cos y) 2)
106.0ms	(cbrt (cos y))
164.0ms	(cbrt (pow (cos y) 2))

simplify99.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	214	330
1	727	287
2	2955	278
3	5002	277

prune476.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (cbrt (pow (cos y) 2))))
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

11×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`expm1-log1p` `pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp` `expm1-udef`

Counts

4 → 63

Calls

4 calls:

1.0ms	(expm1 (log1p (cbrt (pow (cos y) 2))))
5.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series572.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(expm1 (log1p (cbrt (pow (cos y) 2))))
16.0ms	(pow (cos y) 2)
97.0ms	(cbrt (cos y))
154.0ms	(cbrt (pow (cos y) 2))

simplify75.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	166	316
1	515	275
2	1873	263
3	5001	262

prune252.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	75	11	86

Merged error: 0.0b

Counts

86 → 11

regimes135.0ms

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	16	11
1	16	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

597.0ms	1433×	body	1280	valid
308.0ms	1213×	body	640	valid
256.0ms	4439×	body	80	valid
100.0ms	585×	body	320	valid
39.0ms	330×	body	160	valid