Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	307×	body	80	valid
2.0ms	6×	body	1280	valid
1.0ms	6×	body	320	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid

simplify78.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize8.0ms

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)))
0.1b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite64.0ms

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:

8.0ms	(- (/ 2.0 3.0) z)
15.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
16.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series153.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify115.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (23.0ms)

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

prune596.0ms

Filtered

316 candidates to 179 candidates (56.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	307	9	316
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	309	9	318

Merged error: 0.0b

Counts

318 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))))
0.1b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))))
8.0ms	(* (- y x) 6.0)
7.0ms	(* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))

series420.0ms

Counts

3 → 9

Calls

3 calls:

236.0ms	(+ x (* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z))))
31.0ms	(* (- y x) 6.0)
152.0ms	(* (* (- y x) 6.0) (fma (sqrt (/ 2.0 3.0)) (sqrt (/ 2.0 3.0)) (- z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	333	646
1	1551	546
2	5003	517

prune184.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	74	10	84

Merged error: 0.0b

Counts

84 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 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))

rewrite29.0ms

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:

6.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (- z))
1.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
10.0ms	(* (/ 2.0 3.0) (- y x))

series139.0ms

Counts

4 → 12

Calls

4 calls:

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

prune272.0ms

Filtered

138 candidates to 90 candidates (65.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	139	9	148

Merged error: 0b

Counts

148 → 9

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)))
0.1b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (- z))

rewrite32.0ms

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))
11.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
6.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (- z))

series157.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* 4.0 y) (* 3.0 x))
61.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
29.0ms	(* (- y x) 6.0)
31.0ms	(* (* (- y x) 6.0) (- z))

simplify74.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (63.0ms)

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

prune206.0ms

Filtered

109 candidates to 80 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample684.0ms

Algorithm

intervals

Results

365.0ms	9507×	body	80	valid
36.0ms	240×	body	640	valid
25.0ms	198×	body	320	valid
23.0ms	137×	body	1280	valid
7.0ms	94×	body	160	valid

Details

sample40.0ms

simplify78.0ms

prune7.0ms

localize8.0ms

rewrite64.0ms

series153.0ms

simplify115.0ms

prune596.0ms

localize11.0ms

rewrite21.0ms

series420.0ms

simplify56.0ms

prune184.0ms

localize14.0ms

rewrite29.0ms

series139.0ms

simplify69.0ms

prune272.0ms

localize10.0ms

rewrite32.0ms

series157.0ms

simplify74.0ms

prune206.0ms

regimes130.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample684.0ms

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