Details

analyze702.0ms

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
0%	99.8%	0.2%	7
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

sample41.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4937	13
1	4937	13

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
0.0b	(- (/ z y) (/ t (* 2.0 z)))
1.0b	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
23×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`add-log-exp`
6×	`associate-/r*`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`pow1` `associate-/r/` `associate-/l*`
2×	`flip3--` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 69

Calls

3 calls:

16.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
10.0ms	(- (/ z y) (/ t (* 2.0 z)))
11.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
6.0ms	(- (/ z y) (/ t (* 2.0 z)))
8.0ms	(/ -1 (- (/ z y) (/ t (* 2.0 z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5516	1239

prune134.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
16.7b	(cbrt (- (/ z y) (/ t (* 2.0 z))))
16.7b	(cbrt (- (/ z y) (/ t (* z 2.0))))
16.7b	(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
24×	`add-sqr-sqrt`
18×	`cbrt-prod`
15×	`*-un-lft-identity` `associate-/r/`
11×	`flip3--` `frac-sub` `flip--`
9×	`add-exp-log` `frac-times` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`times-frac` `difference-of-squares`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 87

Calls

4 calls:

23.0ms	(/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
9.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
10.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ -1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
22.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
21.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
24.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4910	1771
1	4910	1771

prune255.0ms

Filtered

83 candidates to 99 candidates (-19.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (- (/ z y) (/ t (* z 2.0)))) 6)
16.7b	(cbrt (- (/ z y) (/ t (* 2.0 z))))
16.7b	(cbrt (- (/ z y) (/ t (* z 2.0))))
32.7b	(cbrt (/ -1 (pow (cbrt (- (/ z y) (/ t (* z 2.0)))) 6)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
62×	`add-sqr-sqrt`
45×	`times-frac`
44×	`*-un-lft-identity`
36×	`unpow-prod-down`
32×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`cbrt-div`
6×	`distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow`
2×	`flip3--` `pow-pow` `frac-sub` `flip--`
1×	`pow-to-exp` `pow-exp` `div-inv`

Counts

4 → 110

Calls

4 calls:

11.0ms	(pow (cbrt (- (/ z y) (/ t (* z 2.0)))) 6)
9.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
15.0ms	(cbrt (/ -1 (pow (cbrt (- (/ z y) (/ t (* z 2.0)))) 6)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(pow (cbrt (- (/ z y) (/ t (* z 2.0)))) 6)
21.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
22.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))
45.0ms	(cbrt (/ -1 (pow (cbrt (- (/ z y) (/ t (* z 2.0)))) 6)))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5069	2440

prune268.0ms

Filtered

84 candidates to 122 candidates (-45.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0b

Counts

129 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (* (/ -1 y) (* -1 z))))
15.5b	(cbrt (* (/ -1 y) (* -1 z)))
16.7b	(cbrt (- (/ z y) (/ t (* 2.0 z))))
16.7b	(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`cbrt-prod`
17×	`cbrt-div`
15×	`*-un-lft-identity`
9×	`add-cube-cbrt` `associate-l`
8×	`associate-*l/`
6×	`pow1` `add-exp-log` `difference-of-squares`
5×	`pow1/3`
4×	`flip3--` `associate-r` `frac-sub` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`frac-times` `times-frac` `distribute-lft-out--`
2×	`pow-prod-down` `unswap-sqr`
1×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

14.0ms	(* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (* (/ -1 y) (* -1 z))))
5.0ms	(cbrt (* (/ -1 y) (* -1 z)))
9.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
9.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (* (/ -1 y) (* -1 z))))
13.0ms	(cbrt (* (/ -1 y) (* -1 z)))
21.0ms	(cbrt (- (/ z y) (/ t (* 2.0 z))))
23.0ms	(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4939	1362
1	4939	1362

prune210.0ms

Filtered

81 candidates to 90 candidates (-11.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	90	7	97

Merged error: 0b

Counts

97 → 7

regimes304.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample1.3s

Algorithm

intervals

Results

338.0ms

8000×

body

valid

Details

analyze702.0ms

sample41.0ms

simplify42.0ms

prune15.0ms

localize9.0ms

rewrite39.0ms

series28.0ms

simplify45.0ms

prune134.0ms

localize20.0ms

rewrite54.0ms

series104.0ms

simplify75.0ms

prune255.0ms

localize24.0ms

rewrite48.0ms

series129.0ms

simplify61.0ms

prune268.0ms

localize22.0ms

rewrite40.0ms

series88.0ms

simplify56.0ms

prune210.0ms

regimes304.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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