Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	44	3
3	62	3
4	63	3
5	63	3

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (- 1.0 (* x y)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* x (- 1.0 (* x y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	151	198
1	642	173
2	3593	170
3	5001	162

prune57.0ms

Filtered

35 candidates to 19 candidates (54.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	6	36

Merged error: 0.0b

Counts

36 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))
52.1b	(fma (- y) x (* y x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

6.0ms	(* x (- 1.0 (* x y)))
1.0ms	(fma (- y) x (* y x))

series67.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (- 1.0 (* x y)))
27.0ms	(fma (- y) x (* y x))

simplify107.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	161	248
1	676	216
2	3769	213
3	5001	213

prune107.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
52.1b	(fma (- y) x (* y x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
5.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
1.0ms	(fma (- y) x (* y x))

series714.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt (- 1.0 (* x y)))
231.0ms	(cbrt (- 1.0 (* x y)))
229.0ms	(cbrt (- 1.0 (* x y)))
24.0ms	(fma (- y) x (* y x))

simplify89.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	220	596
1	771	568
2	3495	562
3	5002	550

prune263.0ms

Filtered

67 candidates to 62 candidates (92.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (* 1 (pow (cbrt 1.0) 3))) (* (pow x 2) y))
10.0b	(* (pow x 2) y)
52.1b	(fma (- y) x (* y x))
52.1b	(fma (- y) x (* y x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`add-exp-log`
8×	`associate-l`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`fma-udef` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 65

Calls

4 calls:

7.0ms	(- (* x (* 1 (pow (cbrt 1.0) 3))) (* (pow x 2) y))
5.0ms	(* (pow x 2) y)
1.0ms	(fma (- y) x (* y x))
1.0ms	(fma (- y) x (* y x))

series112.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x (* 1 (pow (cbrt 1.0) 3))) (* (pow x 2) y))
22.0ms	(* (pow x 2) y)
24.0ms	(fma (- y) x (* y x))
25.0ms	(fma (- y) x (* y x))

simplify38.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	214	376
1	853	320
2	5002	314

prune258.0ms

Filtered

77 candidates to 58 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

regimes64.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample365.0ms

Algorithm

intervals

Results

198.0ms

10518×

body

valid