Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	291×	body	80	valid
3.0ms	14×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	3×	body	1280	valid
0.0ms	4×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	6
1	51	5
2	172	5
3	481	5
4	1241	5
5	3102	5
6	5001	5

prune7.0ms

Filtered

1 candidates to 1 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 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
78×	`prod-diff`
74×	`*-un-lft-identity`
72×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-r` `div-inv`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 117

Calls

2 calls:

12.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series90.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* 6.0 (- (/ 2.0 3.0) z))
50.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	426	1569
1	1503	1100
2	5002	1004

prune129.0ms

Filtered

123 candidates to 42 candidates (34.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

156×	`prod-diff`
152×	`add-sqr-sqrt`
147×	`*-un-lft-identity`
143×	`add-cube-cbrt`
109×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
12×	`div-inv`
10×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
9×	`associate-r`
7×	`flip3--` `flip--`
6×	`associate-l`
5×	`add-log-exp`
4×	`frac-times` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `difference-of-squares`
2×	`associate-r/` `-commutative` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

3 → 235

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
11.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
16.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series132.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (- y x) 6.0)
57.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
46.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify107.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1003	3255
1	4336	2520
2	5001	2520

prune457.0ms

Filtered

244 candidates to 139 candidates (57.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	240	4	244
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	246	7	253

Merged error: 0.0b

Counts

253 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (* (- y x) 6.0) (- z)))
0.2b	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.3b	(* (* (- y x) 6.0) (- z))
0.3b	(* (/ 2.0 3.0) (- y x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
18×	`prod-diff`
15×	`associate-r`
14×	`add-exp-log` `associate-l` `add-cbrt-cube`
11×	`pow1` `distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
6×	`add-log-exp`
5×	`associate-*l/` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `flip3--` `fma-def` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `flip--`
2×	`frac-times` `sub-neg` `associate-r/` `-commutative` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `neg-mul-1` `associate-+l+` `flip3-+` `div-exp` `unsub-neg` `sum-log` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (* (- y x) 6.0) (- z)))
1.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
8.0ms	(* (* (- y x) 6.0) (- z))
9.0ms	(* (/ 2.0 3.0) (- y x))

series176.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (fma (* (/ 2.0 3.0) (- y x)) 6.0 x) (* (* (- y x) 6.0) (- z)))
47.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
30.0ms	(* (* (- y x) 6.0) (- z))
33.0ms	(* (/ 2.0 3.0) (- y x))

simplify80.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	651	956
1	2780	767
2	5001	752

prune268.0ms

Filtered

133 candidates to 91 candidates (68.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	133	7	140

Merged error: 0.0b

Counts

140 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1))) (- y x))
0.3b	(fma (* (fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1))) (- y x)) 6.0 x)
0.7b	(fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1)))
1.0b	(/ (sqrt 2.0) 3.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
18×	`times-frac` `prod-diff`
12×	`sqrt-prod`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/l*`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

7.0ms	(* (fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1))) (- y x))
1.0ms	(fma (* (fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1))) (- y x)) 6.0 x)
1.0ms	(fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1)))
4.0ms	(/ (sqrt 2.0) 3.0)

series402.0ms

Counts

4 → 10

Calls

4 calls:

125.0ms	(* (fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1))) (- y x))
172.0ms	(fma (* (fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1))) (- y x)) 6.0 x)
104.0ms	(fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 3.0) (- (* z 1)))
0.0ms	(/ (sqrt 2.0) 3.0)

simplify57.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	418	1397
1	1583	1085
2	5001	993

prune325.0ms

Filtered

117 candidates to 79 candidates (67.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

regimes168.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample585.0ms

Algorithm

intervals

Results

286.0ms	9410×	body	80	valid
31.0ms	276×	body	640	valid
21.0ms	143×	body	1280	valid
20.0ms	208×	body	320	valid
7.0ms	120×	body	160	valid