Details

sample52.0ms

Algorithm

intervals

Results

26.0ms	312×	body	80	valid
3.0ms	9×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify93.0ms

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 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 186

Calls

3 calls:

13.0ms	(- (/ 2.0 3.0) z)
63.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series113.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (/ 2.0 3.0) z)
38.0ms	(* 6.0 (- (/ 2.0 3.0) z))
56.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	453	2251
1	1592	1519
2	5002	1387

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

13.0ms	(- (/ 2.0 3.0) z)
16.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
12.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series162.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
65.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
29.0ms	(* (- y x) 6.0)
48.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify120.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1016	3937
1	4362	2939
2	5001	2939

prune719.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

10.0ms	(* (- y x) 6.0)
16.0ms	(* (* (- y x) 6.0) (- z))
0.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
16.0ms	(* (/ 2.0 3.0) (- y x))

series145.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- y x) 6.0)
36.0ms	(* (* (- y x) 6.0) (- z))
44.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
35.0ms	(* (/ 2.0 3.0) (- y x))

simplify69.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	611	851
1	2906	662
2	5003	649

prune323.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 4.0 y) (* 3.0 x))
0.0b	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (- z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `associate-*l/`
13×	`associate-r`
12×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-cube-cbrt`
7×	`flip3--` `flip--`
6×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-+l+` `fma-def` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`sub-neg` `diff-log` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `neg-mul-1` `flip3-+` `fma-neg` `unsub-neg` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* 4.0 y) (* 3.0 x))
18.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
10.0ms	(* (- y x) 6.0)
17.0ms	(* (* (- y x) 6.0) (- z))

series169.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* 4.0 y) (* 3.0 x))
65.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
30.0ms	(* (- y x) 6.0)
33.0ms	(* (* (- y x) 6.0) (- z))

simplify72.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	533	697
1	2543	632
2	5001	625

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes122.0ms

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	15	6
1	15	6

end0.0ms

sample805.0ms

Algorithm

intervals

Results

493.0ms	9399×	body	80	valid
43.0ms	275×	body	640	valid
27.0ms	162×	body	1280	valid
22.0ms	199×	body	320	valid
9.0ms	119×	body	160	valid