Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

339×

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

prune1.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
64×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-r`
22×	`associate-l`
8×	`unswap-sqr`
7×	`*-commutative`
3×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 102

Calls

1 calls:

12.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	426	1391
1	1521	901
2	5001	874

prune60.0ms

Filtered

105 candidates to 26 candidates (75.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 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))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
65×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
46×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-r`
22×	`associate-l`
8×	`unswap-sqr`
7×	`*-commutative`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `fma-udef`

Counts

2 → 112

Calls

2 calls:

12.0ms	(* x (- 1.0 (* x y)))
1.0ms	(fma (- y) x (* y x))

series70.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (- 1.0 (* x y)))
28.0ms	(fma (- y) x (* y x))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	436	1441
1	1552	944
2	5002	917

prune102.0ms

Filtered

118 candidates to 37 candidates (68.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.2b	(* x (- (* x y)))
52.1b	(fma (- y) x (* y x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-r`
28×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
21×	`associate-l`
16×	`add-cube-cbrt`
14×	`distribute-rgt-neg-in`
13×	`distribute-lft-neg-in`
12×	`fma-def`
10×	`distribute-lft-out`
8×	`*-commutative`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `distribute-rgt-neg-out` `log1p-expm1-u`
2×	`distribute-rgt-out`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `fma-udef`

Counts

3 → 95

Calls

3 calls:

27.0ms	(+ (* x 1.0) (* x (- (* x y))))
10.0ms	(* x (- (* x y)))
1.0ms	(fma (- y) x (* y x))

series91.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x 1.0) (* x (- (* x y))))
21.0ms	(* x (- (* x y)))
29.0ms	(fma (- y) x (* y x))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	302	385
1	1516	344
2	5001	340

prune197.0ms

Filtered

104 candidates to 76 candidates (26.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	3	1	4
Picked	0	1	1
Done	1	0	1
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (pow (* -1 (* (pow x 2) y)) 1))
10.4b	(* (pow x 2) y)
52.1b	(fma (- y) x (* y x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`fma-def` `associate-l`
9×	`add-cube-cbrt`
8×	`add-exp-log`
6×	`associate-r`
5×	`pow1` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down`
3×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
2×	`*-commutative` `distribute-lft-out` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `sum-log` `cbrt-unprod` `flip-+` `fma-udef`

Counts

3 → 67

Calls

3 calls:

30.0ms	(+ (* x 1.0) (pow (* -1 (* (pow x 2) y)) 1))
6.0ms	(* (pow x 2) y)
1.0ms	(fma (- y) x (* y x))

series88.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* x 1.0) (pow (* -1 (* (pow x 2) y)) 1))
18.0ms	(* (pow x 2) y)
26.0ms	(fma (- y) x (* y x))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	211	309
1	861	264
2	5002	252

prune177.0ms

Filtered

76 candidates to 57 candidates (25.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	5	81

Merged error: 0b

Counts

81 → 5

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	28	10
2	29	10
3	29	10

end0.0ms

sample353.0ms

Algorithm

intervals

Results

198.0ms

10621×

body

valid