Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	28×	body	1280	valid
9.0ms	177×	body	80	valid
5.0ms	20×	body	640	valid
4.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	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 (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

3.0ms	(+ x (sin y))
6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series104.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (sin y))
38.0ms	(+ (+ x (sin y)) (* z (cos y)))
41.0ms	(* z (cos y))

simplify72.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune126.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

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`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

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))

series462.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
104.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune239.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite14.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
3.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
123.0ms	(cbrt (* z (cos y)))
121.0ms	(cbrt (* z (cos y)))
268.0ms	(cbrt (* z (cos y)))

simplify122.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	175	423
1	691	372
2	3601	342
3	5001	317

prune209.0ms

Filtered

70 candidates to 52 candidates (74.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ x (sin y)) 3)) (* z (cos y)))
0.1b	(* z (cos y))
0.2b	(pow (+ x (sin y)) 3)
27.8b	(cbrt (pow (+ x (sin y)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`cbrt-prod` `add-sqr-sqrt`
12×	`add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`cube-div` `distribute-lft-out`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

9.0ms	(+ (cbrt (pow (+ x (sin y)) 3)) (* z (cos y)))
4.0ms	(* z (cos y))
4.0ms	(pow (+ x (sin y)) 3)
4.0ms	(cbrt (pow (+ x (sin y)) 3))

series134.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (cbrt (pow (+ x (sin y)) 3)) (* z (cos y)))
34.0ms	(* z (cos y))
30.0ms	(pow (+ x (sin y)) 3)
29.0ms	(cbrt (pow (+ x (sin y)) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	330	506
1	1514	448
2	5003	441

prune190.0ms

Filtered

93 candidates to 55 candidates (59.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

407.0ms	975×	body	1280	valid
296.0ms	5622×	body	80	valid
204.0ms	807×	body	640	valid
69.0ms	409×	body	320	valid
22.0ms	187×	body	160	valid