Details

analyze400.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

8.0ms	228×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	14×	body	80	invalid
0.0ms	3×	body	160	valid

simplify105.0ms

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

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	(* (- 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:

9.0ms	(- (/ 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))

series28.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ 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))

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

prune148.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	0	1	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)))

rewrite35.0ms

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:

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

series29.0ms

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))
11.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (10.0ms)

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

prune136.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	109	9	118

Merged error: 0.0b

Counts

118 → 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))))))
0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(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:

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

series519.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
91.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
91.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
90.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (44.0ms)

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

prune344.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

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

series372.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
92.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
93.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
94.0ms	(cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	377	1314
1	1185	1247
2	5001	1113

prune381.0ms

Filtered

63 candidates to 67 candidates (-6.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	67	10	77

Merged error: 0.0b

Counts

77 → 10

regimes406.0ms

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

analyze412.0ms

Algorithm: search

sample566.0ms

Algorithm

intervals

Results

278.0ms	7284×	body	80	valid
36.0ms	265×	body	640	valid
28.0ms	164×	body	1280	valid
23.0ms	622×	body	80	invalid
19.0ms	182×	body	320	valid
7.0ms	105×	body	160	valid

Details

analyze400.0ms

sample21.0ms

simplify105.0ms

prune3.0ms

localize9.0ms

rewrite34.0ms

series28.0ms

simplify54.0ms

prune148.0ms

localize9.0ms

rewrite35.0ms

series29.0ms

simplify65.0ms

prune136.0ms

localize16.0ms

rewrite17.0ms

series519.0ms

simplify66.0ms

prune344.0ms

localize20.0ms

rewrite12.0ms

series372.0ms

simplify42.0ms

prune381.0ms

regimes406.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze412.0ms

sample566.0ms

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