Details

sample52.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
11.0ms	44×	body	640	valid
7.0ms	139×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	10×	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 (0.0%)

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: 0.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

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

series129.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma x (sin y) (* z (cos y)))
44.0ms	(* z (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	85	150
1	280	130
2	712	130
3	1539	130
4	5002	130

prune78.0ms

Filtered

36 candidates to 28 candidates (22.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Merged error: 0.1b

Counts

37 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (cos y) z (* x (sin y)))
0.1b	(* x (sin y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

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

series124.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(fma (cos y) z (* x (sin y)))
40.0ms	(* x (sin y))

simplify38.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	101	155
1	347	136
2	1289	135
3	5001	134

prune87.0ms

Filtered

36 candidates to 26 candidates (27.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	33	10	43

Merged error: 0.0b

Counts

43 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin 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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series443.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
109.0ms	(cbrt (sin y))
117.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify99.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	169	520
1	612	446
2	3573	404
3	5001	398

prune244.0ms

Filtered

96 candidates to 68 candidates (29.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	95	11	106

Merged error: 0.0b

Counts

106 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (expm1 (log1p (cbrt (sin y)))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

5.0ms	(* (expm1 (log1p (cbrt (sin y)))) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series622.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (expm1 (log1p (cbrt (sin y)))) (cbrt (sin y)))
110.0ms	(cbrt (sin y))
103.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))

simplify63.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	173	441
1	470	352
2	2136	323
3	5001	316

prune208.0ms

Filtered

76 candidates to 57 candidates (25.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	76	11	87

Merged error: 0.0b

Counts

87 → 11

regimes134.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

625.0ms	1509×	body	1280	valid
340.0ms	1299×	body	640	valid
231.0ms	4241×	body	80	valid
112.0ms	624×	body	320	valid
48.0ms	327×	body	160	valid