Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	313×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid

simplify79.0ms

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

rewrite92.0ms

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:

22.0ms	(- (/ 2.0 3.0) z)
59.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series106.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(- (/ 2.0 3.0) z)
42.0ms	(* 6.0 (- (/ 2.0 3.0) z))
46.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (40.0ms)

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

prune268.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`fma-def`
12×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
4×	`distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`distribute-rgt-neg-in` `flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`+-commutative` `neg-sub0` `distribute-rgt-in` `associate-+r-` `distribute-lft-in` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

21.0ms	(+ (/ 2.0 3.0) (- z))
66.0ms	(* 6.0 (+ (/ 2.0 3.0) (- z)))
0.0ms	(fma (- y x) (* 6.0 (+ (/ 2.0 3.0) (- z))) x)

series129.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (/ 2.0 3.0) (- z))
54.0ms	(* 6.0 (+ (/ 2.0 3.0) (- z)))
58.0ms	(fma (- y x) (* 6.0 (+ (/ 2.0 3.0) (- z))) x)

simplify33.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	243	342
1	1091	291
2	5001	288

prune216.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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

rewrite161.0ms

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:

20.0ms	(- (/ 2.0 3.0) z)
23.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
21.0ms	(* (- y x) 6.0)
73.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series145.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
26.0ms	(* (- y x) 6.0)
40.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify119.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (24.0ms)

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

prune660.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- z))
0.4b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
14×	`associate-*l/`
12×	`associate-l`
11×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `frac-times` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-*r/` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 117

Calls

4 calls:

20.0ms	(* (- y x) 6.0)
20.0ms	(* (- y x) 6.0)
35.0ms	(* (* (- y x) 6.0) (- z))
40.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series112.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- y x) 6.0)
25.0ms	(* (- y x) 6.0)
28.0ms	(* (* (- y x) 6.0) (- z))
29.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	480	613
1	2657	525
2	5001	525

prune265.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	32	10
3	32	10

end0.0ms

sample640.0ms

Algorithm

intervals

Results

261.0ms	9516×	body	80	valid
26.0ms	264×	body	640	valid
17.0ms	142×	body	1280	valid
14.0ms	195×	body	320	valid
8.0ms	119×	body	160	valid