Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	299×	body	80	valid
1.0ms	11×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	5×	body	160	valid

simplify81.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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)

rewrite66.0ms

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:

58.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series99.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
60.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (38.0ms)

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

prune140.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.1b	(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

5.0ms	(- 4.0 (* 6.0 z))
0.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- 4.0 (* 6.0 z))
54.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify127.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	144	177
1	378	156
2	1444	155
3	4973	139
4	5001	139

prune87.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)))
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite136.0ms

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:

20.0ms	(* (- y x) 6.0)
26.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
73.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series141.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y x) 6.0)
64.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
48.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify112.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 1 (26.0ms)

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

prune521.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 6.0 (- y x))
0.0b	(+ x (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)))
0.4b	(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 257

Calls

3 calls:

24.0ms	(* 6.0 (- y x))
24.0ms	(+ x (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)))
71.0ms	(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

series141.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* 6.0 (- y x))
61.0ms	(+ x (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)))
48.0ms	(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

simplify50.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1089	3518
1	5001	2658

prune506.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes129.0ms

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	10	4
1	10	4

end0.0ms

sample649.0ms

Algorithm

intervals

Results

286.0ms	9521×	body	80	valid
28.0ms	273×	body	640	valid
16.0ms	124×	body	1280	valid
14.0ms	182×	body	320	valid
6.0ms	111×	body	160	valid