Details

sample55.0ms

Algorithm

intervals

Results

23.0ms	49×	body	1280	valid
9.0ms	36×	body	640	valid
8.0ms	143×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

series154.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* x (cos y))
45.0ms	(* z (sin y))

simplify70.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	189	284
1	727	260
2	2355	260
3	5001	259

prune354.0ms

Filtered

78 candidates to 58 candidates (74.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite14.0ms

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))

series457.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	137	508
1	544	435
2	3667	393
3	5002	387

prune243.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Merged error: 0.0b

Counts

106 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

1.0ms	(fma (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series326.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(fma (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)) (* z (sin y)))
38.0ms	(* z (sin y))
17.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))

simplify101.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	204	352
1	723	302
2	3007	298
3	5001	297

prune217.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(log (exp (cbrt (cos y))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

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

series260.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (sin y))
99.0ms	(log (exp (cbrt (cos y))))
18.0ms	(pow (cos y) 2)
103.0ms	(cbrt (cos y))

simplify89.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	211	311
1	681	275
2	2673	268
3	5001	267

prune244.0ms

Filtered

86 candidates to 60 candidates (69.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

regimes140.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

625.0ms	1478×	body	1280	valid
311.0ms	1200×	body	640	valid
255.0ms	4384×	body	80	valid
114.0ms	629×	body	320	valid
38.0ms	309×	body	160	valid