Details

sample29.0ms

Algorithm

intervals

Results

14.0ms	291×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	3×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	160	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

prune3.0ms

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: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
7.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
14.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series31.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
2.0ms	(- (/ 2.0 3.0) z)
5.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	435	616
1	2060	564
2	5001	564

prune135.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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×	`*-commutative` `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 → 109

Calls

4 calls:

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

series20.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y x) 6.0)
4.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) (neg z))
4.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	468	582
1	2601	494
2	5001	494

prune136.0ms

Filtered

79 candidates to 121 candidates (-53.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Merged error: 0.0b

Counts

128 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`associate-*r/`
8×	`associate-+r+` `flip3--` `associate-l` `flip--` `add-log-exp`
7×	`add-cube-cbrt` `associate-r`
5×	`difference-of-squares`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
7.0ms	(- (/ 2.0 3.0) z)
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
14.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
4.0ms	(- (/ 2.0 3.0) z)
3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	437	708
1	1830	652
2	5001	652

prune118.0ms

Filtered

68 candidates to 109 candidates (-60.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	109	7	116

Merged error: 0.0b

Counts

116 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.4b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`flip3--` `*-un-lft-identity` `flip--` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-l` `add-cbrt-cube`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in`
3×	`associate-r`
2×	`associate-r/` `associate-l/`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

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

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- 4.0 (* 6.0 z))
12.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
9.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	315	441
1	1286	414
2	5003	414

prune70.0ms

Filtered

47 candidates to 68 candidates (-44.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

regimes217.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample711.0ms

Algorithm

intervals

Results

338.0ms	9387×	body	80	valid
34.0ms	263×	body	640	valid
26.0ms	164×	body	1280	valid
24.0ms	197×	body	320	valid
7.0ms	104×	body	160	valid

Details

sample29.0ms

simplify113.0ms

prune3.0ms

localize10.0ms

rewrite34.0ms

series31.0ms

simplify54.0ms

prune135.0ms

localize12.0ms

rewrite34.0ms

series20.0ms

simplify64.0ms

prune136.0ms

localize8.0ms

rewrite38.0ms

series29.0ms

simplify51.0ms

prune118.0ms

localize7.0ms

rewrite16.0ms

series27.0ms

simplify38.0ms

prune70.0ms

regimes217.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample711.0ms

Profiling