Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	326×	body	80	valid
1.0ms	10×	body	320	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	160	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

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))

rewrite108.0ms

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:

16.0ms	(- (/ 2.0 3.0) z)
17.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms	(* (- y x) 6.0)
45.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series154.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
58.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms	(* (- y x) 6.0)
43.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify111.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (23.0ms)

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

prune641.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

10.0ms	(* (- y x) 6.0)
15.0ms	(* (- z) (* (- y x) 6.0))
0.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
19.0ms	(* (/ 2.0 3.0) (- y x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
45.0ms	(* (- z) (* (- y x) 6.0))
47.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
30.0ms	(* (/ 2.0 3.0) (- y x))

simplify67.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	592	853
1	2730	663
2	5001	650

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(+ (fma (* 2.0 (/ (- y x) 3.0)) 6.0 x) (* (- z) (* (- y x) 6.0)))
10.0ms	(* (- y x) 6.0)
15.0ms	(* (- z) (* (- y x) 6.0))
0.0ms	(fma (* 2.0 (/ (- y x) 3.0)) 6.0 x)

series190.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (fma (* 2.0 (/ (- y x) 3.0)) 6.0 x) (* (- z) (* (- y x) 6.0)))
28.0ms	(* (- y x) 6.0)
47.0ms	(* (- z) (* (- y x) 6.0))
46.0ms	(fma (* 2.0 (/ (- y x) 3.0)) 6.0 x)

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	341	538
1	1509	486
2	5002	483

prune254.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`add-log-exp`
5×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-def` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`flip3--` `associate-r/` `associate-l/` `flip--` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l+` `frac-2neg` `flip3-+` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

4 → 89

Calls

4 calls:

8.0ms	(/ (- y x) 3.0)
3.0ms	(+ (fma (* 2.0 (/ (- y x) 3.0)) 6.0 x) (* (* z (- x y)) 6.0))
14.0ms	(* (* z (- x y)) 6.0)
0.0ms	(fma (* 2.0 (/ (- y x) 3.0)) 6.0 x)

series194.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (- y x) 3.0)
71.0ms	(+ (fma (* 2.0 (/ (- y x) 3.0)) 6.0 x) (* (* z (- x y)) 6.0))
47.0ms	(* (* z (- x y)) 6.0)
48.0ms	(fma (* 2.0 (/ (- y x) 3.0)) 6.0 x)

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	419	574
1	1465	526
2	5002	523

prune259.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.1b 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	18	7
1	18	7

end0.0ms

sample555.0ms

Algorithm

intervals

Results

274.0ms	9467×	body	80	valid
30.0ms	251×	body	640	valid
18.0ms	136×	body	1280	valid
15.0ms	199×	body	320	valid
6.0ms	116×	body	160	valid