Details

sample42.0ms

Algorithm

intervals

Results

26.0ms	311×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid

simplify77.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

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)

rewrite63.0ms

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)
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series110.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (/ 2.0 3.0) z)
37.0ms	(* 6.0 (- (/ 2.0 3.0) z))
54.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (37.0ms)

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

prune267.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

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

series288.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))
181.0ms	(fma (- y x) (* 6.0 (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	162	388
1	659	314
2	3184	292
3	5002	282

prune118.0ms

Pruning

8 alts after pruning (7 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	(* (- y x) 6.0)
0.0b	(+ (* (- (/ 2.0 3.0) z) (* (- y x) 6.0)) x)
0.3b	(* (- (/ 2.0 3.0) z) (* (- y x) 6.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
48×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-*l/`
8×	`flip3--` `flip--` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

13.0ms	(- (/ 2.0 3.0) z)
10.0ms	(* (- y x) 6.0)
31.0ms	(+ (* (- (/ 2.0 3.0) z) (* (- y x) 6.0)) x)
45.0ms	(* (- (/ 2.0 3.0) z) (* (- y x) 6.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
32.0ms	(* (- y x) 6.0)
54.0ms	(+ (* (- (/ 2.0 3.0) z) (* (- y x) 6.0)) x)
43.0ms	(* (- (/ 2.0 3.0) z) (* (- y x) 6.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	574	1198
1	2232	889
2	5002	877

prune309.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`-un-lft-identity` `associate-l*`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

10.0ms	(* (- y x) 6.0)
12.0ms	(+ (* (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)) (* (- y x) 6.0)) x)
13.0ms	(* (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)) (* (- y x) 6.0))

series388.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- y x) 6.0)
224.0ms	(+ (* (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)) (* (- y x) 6.0)) x)
132.0ms	(* (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)) (* (- y x) 6.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	300	626
1	1230	540
2	5002	513

prune191.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes158.0ms

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	14	9
1	14	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

730.0ms	9493×	body	80	valid
55.0ms	227×	body	640	valid
45.0ms	153×	body	1280	valid
37.0ms	192×	body	320	valid
15.0ms	117×	body	160	valid