Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

362×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune4.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* x y))
0.0b	(* (fma x x (* x y)) 2.0)

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 x (* x y))
3.0ms	(* (fma x x (* x y)) 2.0)

series89.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x x (* x y))
53.0ms	(* (fma x x (* x y)) 2.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	87	151
1	328	132
2	2448	132
3	5001	132

prune50.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
5.8b	(cbrt (fma x x (* x y)))
5.8b	(cbrt (fma x x (* x y)))
5.8b	(cbrt (fma x x (* x y)))

rewrite10.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
1.0ms	(cbrt (fma x x (* x y)))
1.0ms	(cbrt (fma x x (* x y)))
1.0ms	(cbrt (fma x x (* x y)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
180.0ms	(cbrt (fma x x (* x y)))
182.0ms	(cbrt (fma x x (* x y)))
179.0ms	(cbrt (fma x x (* x y)))

simplify121.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 4 (114.0ms)

Iter	Nodes	Cost
0	132	610
1	424	559
2	1512	505
3	4133	500
4	5001	475

prune177.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (pow y 2/3) (pow x 2/3)) (* (cbrt (fma x x (* x y))) 2.0))
2.7b	(pow x 2/3)
2.9b	(pow y 2/3)
5.8b	(cbrt (fma x x (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

9.0ms	(* (* (pow y 2/3) (pow x 2/3)) (* (cbrt (fma x x (* x y))) 2.0))
2.0ms	(pow x 2/3)
2.0ms	(pow y 2/3)
1.0ms	(cbrt (fma x x (* x y)))

series828.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (* (pow y 2/3) (pow x 2/3)) (* (cbrt (fma x x (* x y))) 2.0))
174.0ms	(pow x 2/3)
173.0ms	(pow y 2/3)
180.0ms	(cbrt (fma x x (* x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	393	609
1	1439	530
2	5001	515

prune305.0ms

Filtered

101 candidates to 60 candidates (59.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(pow (/ 1 x) -1)
0.2b	(pow (/ 1 y) -1)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
12×	`add-exp-log`
8×	`pow-exp`
6×	`pow1` `pow-unpow` `pow-pow`
4×	`div-exp`
2×	`expm1-log1p-u` `pow-to-exp` `unpow-1` `rec-exp` `pow-flip` `1-exp` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `inv-pow` `add-log-exp` `sqr-pow`

Counts

2 → 70

Calls

2 calls:

5.0ms	(pow (/ 1 x) -1)
4.0ms	(pow (/ 1 y) -1)

series45.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(pow (/ 1 x) -1)
25.0ms	(pow (/ 1 y) -1)

simplify36.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	311	300
1	1453	186
2	5001	162

prune104.0ms

Filtered

76 candidates to 42 candidates (55.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

regimes27.0ms

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	3
1	8	3

end0.0ms

sample453.0ms

Algorithm

intervals

Results

285.0ms

11202×

body

valid

Details

sample17.0ms

simplify9.0ms

prune4.0ms

localize5.0ms

rewrite5.0ms

series89.0ms

simplify61.0ms

prune50.0ms

localize9.0ms

rewrite10.0ms

series740.0ms

simplify121.0ms

prune177.0ms

localize15.0ms

rewrite17.0ms

series828.0ms

simplify53.0ms

prune305.0ms

localize9.0ms

rewrite11.0ms

series45.0ms

simplify36.0ms

prune104.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample453.0ms

Profiling