Details

analyze884.0ms

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
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

prune12.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.5b	(* y (/ (- z t) (- z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
18.0ms	(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune116.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.9b	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
20.0ms	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
28.0ms	(cbrt (- z t))
39.0ms	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5625	939

prune92.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.7b	(/ (* y (- z t)) (- z a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series51.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* y (- z t)) (- z a)))
7.0ms	(* y (- z t))
18.0ms	(/ (* y (- z t)) (- z a))

simplify39.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5408	699

prune64.0ms

Filtered

51 candidates to 74 candidates (-45.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	75	4	79

Merged error: 0b

Counts

79 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.6b	(/ y (/ (- z a) (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

25.0ms	(+ x (/ y (/ (- z a) (- z t))))
9.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ y (/ (- z a) (- z t))))
12.0ms	(/ (- z a) (- z t))
21.0ms	(/ y (/ (- z a) (- z t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5338	3363

prune144.0ms

Filtered

146 candidates to 215 candidates (-47.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	215	4	219

Merged error: 0b

Counts

219 → 4

regimes425.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	33
1	38	33

end0.0ms

sample589.0ms

Algorithm

intervals

Results

291.0ms	7998×	body	80	valid
23.0ms	690×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze884.0ms

sample27.0ms

simplify86.0ms

prune12.0ms

localize8.0ms

rewrite28.0ms

series52.0ms

simplify40.0ms

prune116.0ms

localize18.0ms

rewrite31.0ms

series118.0ms

simplify37.0ms

prune92.0ms

localize8.0ms

rewrite24.0ms

series51.0ms

simplify39.0ms

prune64.0ms

localize8.0ms

rewrite57.0ms

series58.0ms

simplify58.0ms

prune144.0ms

regimes425.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample589.0ms

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