Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
9.0ms	169×	body	80	valid
8.0ms	29×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

4.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (sin y))
43.0ms	(fma (cos y) z (+ x (sin y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	98	137
1	220	120
2	612	120
3	2378	120
4	5001	120

prune95.0ms

Filtered

33 candidates to 27 candidates (81.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite11.0ms

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:

5.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series753.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
183.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
181.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	358	1307
1	1616	1191
2	5001	1069

prune305.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
9.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series763.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
189.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
204.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
184.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	475	1501
1	1897	1434
2	5001	1356

prune374.0ms

Filtered

91 candidates to 72 candidates (79.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.5b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
41×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`unswap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
7.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
7.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series797.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
209.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
209.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
192.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	475	2146
1	1897	2066
2	5001	1944

prune498.0ms

Filtered

115 candidates to 86 candidates (74.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

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	8	4
1	8	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

396.0ms	920×	body	1280	valid
327.0ms	5695×	body	80	valid
201.0ms	780×	body	640	valid
72.0ms	380×	body	320	valid
28.0ms	225×	body	160	valid