Details

analyze455.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5032	11

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
8.0b	(/ x (* (- y z) (- y t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

8.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series47.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
6.0ms	(* (- y z) (- y t))
17.0ms	(/ x (* (- y z) (- y t)))

simplify37.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4973	977
1	4973	977

prune122.0ms

Filtered

64 candidates to 83 candidates (-29.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	8	84

Merged error: 0b

Counts

84 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

8.0b	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
23.8b	(cbrt (* (- y z) (- y t)))
23.8b	(cbrt (* (- y z) (- y t)))
23.8b	(cbrt (* (- y z) (- y t)))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1476×	`flip3--` `flip--`
728×	`associate-/r/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 802

Calls

4 calls:

70.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
7.0ms	(cbrt (* (- y z) (- y t)))
8.0ms	(cbrt (* (- y z) (- y t)))
7.0ms	(cbrt (* (- y z) (- y t)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
42.0ms	(cbrt (* (- y z) (- y t)))
48.0ms	(cbrt (* (- y z) (- y t)))
43.0ms	(cbrt (* (- y z) (- y t)))

simplify208.0ms

Algorithm

egg-herbie

Counts

814 → 814

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5471	33033

prune2.5s

Filtered

655 candidates to 814 candidates (-24.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	814	0	814
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	814	8	822

Merged error: 0b

Counts

822 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

8.0b	(/ x (* (- y z) (- y t)))
21.8b	(cbrt (/ x (* (- y z) (- y t))))
21.8b	(cbrt (/ x (* (- y z) (- y t))))
21.8b	(cbrt (/ x (* (- y z) (- y t))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

9.0ms	(/ x (* (- y z) (- y t)))
8.0ms	(cbrt (/ x (* (- y z) (- y t))))
9.0ms	(cbrt (/ x (* (- y z) (- y t))))
8.0ms	(cbrt (/ x (* (- y z) (- y t))))

series175.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ x (* (- y z) (- y t)))
50.0ms	(cbrt (/ x (* (- y z) (- y t))))
52.0ms	(cbrt (/ x (* (- y z) (- y t))))
53.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify38.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5061	1764

prune156.0ms

Filtered

103 candidates to 113 candidates (-9.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
0.0b	(* (- y z) (- y t))
0.6b	(/ 1 (* (- y z) (- y t)))
7.7b	(* x (/ 1 (* (- y z) (- y t))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`associate-r` `add-cbrt-cube`
19×	`add-sqr-sqrt` `flip3--` `flip--`
16×	`associate-/r/`
15×	`*-un-lft-identity`
14×	`prod-exp`
12×	`frac-times`
11×	`pow1` `add-cube-cbrt`
8×	`div-exp` `associate-l`
7×	`associate-*r/`
6×	`times-frac` `associate-*l/` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`sub-neg` `pow-prod-down` `associate-/l*`
2×	`pow-flip` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `clear-num` `associate-/r*` `un-div-inv` `inv-pow`

Counts

4 → 119

Calls

4 calls:

3.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
9.0ms	(* (- y z) (- y t))
9.0ms	(/ 1 (* (- y z) (- y t)))
14.0ms	(* x (/ 1 (* (- y z) (- y t))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
9.0ms	(* (- y z) (- y t))
12.0ms	(/ 1 (* (- y z) (- y t)))
17.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify51.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	1396
1	4972	1396

prune114.0ms

Filtered

86 candidates to 131 candidates (-52.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	131	8	139

Merged error: 0b

Counts

139 → 8

regimes491.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	11
1	44	11

end0.0ms

sample479.0ms

Algorithm

intervals

Results

263.0ms	8000×	body	80	valid
15.0ms	409×	body	80	invalid

Details

analyze455.0ms

sample19.0ms

simplify118.0ms

prune11.0ms

localize8.0ms

rewrite28.0ms

series47.0ms

simplify37.0ms

prune122.0ms

localize12.0ms

rewrite255.0ms

series152.0ms

simplify208.0ms

prune2.5s

localize12.0ms

rewrite38.0ms

series175.0ms

simplify38.0ms

prune156.0ms

localize11.0ms

rewrite40.0ms

series60.0ms

simplify51.0ms

prune114.0ms

regimes491.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample479.0ms

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