Details

sample719.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.312988%

Guaranteed chance to sample good point: 87.178804%

Results

9.0ms	231×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	49×	body	80	invalid
1.0ms	6×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify126.0ms

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: 0.4b

Counts

2 → 1

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

rewrite36.0ms

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

series28.0ms

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))

simplify64.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

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

prune140.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 0.1b

Counts

98 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b	(* (- 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:

7.0ms	(- (/ 2.0 3.0) z)
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
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)
3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune128.0ms

Filtered

68 candidates to 109 candidates (-60.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	108	9	117

Merged error: 0.0b

Counts

117 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

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

series475.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
89.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
88.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
90.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	463	2031
1	1618	1918
2	5001	1705

prune330.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	97	11	108

Merged error: 0.0b

Counts

108 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
5.0ms	(cbrt (* (- y x) 6.0))
5.0ms	(cbrt (* (- y x) 6.0))
5.0ms	(cbrt (* (- y x) 6.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
35.0ms	(cbrt (* (- y x) 6.0))
34.0ms	(cbrt (* (- y x) 6.0))
36.0ms	(cbrt (* (- y x) 6.0))

simplify168.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	313	693
1	1028	642
2	4918	582
3	5001	582

prune153.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

regimes464.0ms

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

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.312988%

Guaranteed chance to sample good point: 87.178804%

Results

289.0ms	7297×	body	80	valid
49.0ms	1237×	body	80	invalid
37.0ms	270×	body	640	valid
24.0ms	137×	body	1280	valid
18.0ms	176×	body	320	valid
9.0ms	120×	body	160	valid

Details

sample719.0ms

simplify126.0ms

prune3.0ms

localize8.0ms

rewrite36.0ms

series28.0ms

simplify64.0ms

prune140.0ms

localize9.0ms

rewrite38.0ms

series27.0ms

simplify58.0ms

prune128.0ms

localize16.0ms

rewrite17.0ms

series475.0ms

simplify57.0ms

prune330.0ms

localize12.0ms

rewrite22.0ms

series149.0ms

simplify168.0ms

prune153.0ms

regimes464.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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