Details

sample4.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.944336%

Guaranteed chance to sample good point: 81.047307%

Results

9.0ms	233×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	10×	body	80	invalid
0.0ms	4×	body	160	valid

simplify129.0ms

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

prune4.0ms

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	(- (/ 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))

rewrite33.0ms

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:

7.0ms	(- (/ 2.0 3.0) z)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series27.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

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

prune147.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

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

rewrite39.0ms

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:

7.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
11.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (- y x) (* 6.0 (- (/ 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)))

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune311.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	108	10	118

Merged error: 0.0b

Counts

118 → 10

localize11.0ms

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

rewrite33.0ms

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)
7.0ms	(* (* (- y x) 6.0) (neg z))
4.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (12.0ms)

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

prune146.0ms

Filtered

79 candidates to 121 candidates (-53.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	121	10	131

Merged error: 0.0b

Counts

131 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
3.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series89.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune82.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

regimes367.0ms

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	15	6
1	15	6

end0.0ms

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.944336%

Guaranteed chance to sample good point: 81.047307%

Results

292.0ms	7322×	body	80	valid
31.0ms	217×	body	640	valid
30.0ms	154×	body	1280	valid
20.0ms	190×	body	320	valid
12.0ms	298×	body	80	invalid
9.0ms	117×	body	160	valid

Details

sample4.0s

simplify129.0ms

prune4.0ms

localize10.0ms

rewrite33.0ms

series27.0ms

simplify57.0ms

prune147.0ms

localize9.0ms

rewrite39.0ms

series26.0ms

simplify52.0ms

prune311.0ms

localize11.0ms

rewrite33.0ms

series20.0ms

simplify67.0ms

prune146.0ms

localize15.0ms

rewrite13.0ms

series89.0ms

simplify73.0ms

prune82.0ms

regimes367.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling