Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	31×	body	1280	valid
9.0ms	183×	body	80	valid
6.0ms	26×	body	640	valid
2.0ms	12×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(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)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (sin y))
40.0ms	(fma (cos y) z (+ x (sin y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	96	137
1	218	120
2	611	120
3	2377	120
4	5001	120

prune72.0ms

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

localize20.0ms

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

rewrite18.0ms

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:

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

series768.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
185.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
180.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
203.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (38.0ms)

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

prune305.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.9b	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) 4)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

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))))
3.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) 4)

series821.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
190.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
240.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) 4)

simplify62.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	385	963
1	1456	904
2	5001	859

prune271.0ms

Filtered

77 candidates to 63 candidates (81.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
0.2b	(pow (+ x (sin y)) 3)
26.3b	(cbrt (pow (+ x (sin y)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out`
2×	`unpow3` `rem-cbrt-cube` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `sum-log` `flip-+` `fma-udef` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

4.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
4.0ms	(pow (+ x (sin y)) 3)
4.0ms	(cbrt (pow (+ x (sin y)) 3))

series123.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (sin y))
41.0ms	(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
30.0ms	(pow (+ x (sin y)) 3)
26.0ms	(cbrt (pow (+ x (sin y)) 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	224	370
1	871	334
2	5001	326

prune154.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

regimes77.0ms

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

407.0ms	979×	body	1280	valid
294.0ms	5626×	body	80	valid
202.0ms	788×	body	640	valid
71.0ms	414×	body	320	valid
22.0ms	193×	body	160	valid