Details

analyze935.0ms

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
33.3%	66.5%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms	255×	body	80	valid
1.0ms	19×	body	80	invalid
0.0ms	1×	body	1280	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	85	11
1	85	11

prune4.0ms

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: 1.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.4b	(* y (/ (- z t) (- z a)))

rewrite31.0ms

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))))
8.0ms	(/ (- z t) (- z a))
14.0ms	(* y (/ (- z t) (- z a)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
17.0ms	(* y (/ (- z t) (- z a)))

simplify65.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4988	1368
1	4988	1368

prune138.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Merged error: 0.0b

Counts

123 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
2.8b	(cbrt (/ (- z t) (- z a)))
2.8b	(cbrt (/ (- z t) (- z a)))
2.8b	(cbrt (/ (- z t) (- z a)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

22.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
7.0ms	(cbrt (/ (- z t) (- z a)))
8.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
34.0ms	(cbrt (/ (- z t) (- z a)))
37.0ms	(cbrt (/ (- z t) (- z a)))
33.0ms	(cbrt (/ (- z t) (- z a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5773	2243

prune162.0ms

Filtered

108 candidates to 154 candidates (-42.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	154	6	160

Merged error: 0.0b

Counts

160 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
10.5b	(/ (* y (- z t)) (- z a))

rewrite27.0ms

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))
11.0ms	(/ (* y (- z t)) (- z a))

series53.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (/ (* y (- z t)) (- z a)))
8.0ms	(* y (- z t))
17.0ms	(/ (* y (- z t)) (- z a))

simplify53.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4995	701
1	4995	701

prune92.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	73	7	80

Merged error: 0b

Counts

80 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.6b	(/ y (/ (- z a) (- z t)))

rewrite64.0ms

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:

31.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (/ y (/ (- z a) (- z t))))
9.0ms	(/ (- z a) (- z t))
23.0ms	(/ y (/ (- z a) (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5067	3366

prune162.0ms

Filtered

146 candidates to 215 candidates (-47.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	215	7	222

Merged error: 0b

Counts

222 → 7

regimes716.0ms

Accuracy

45.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch2.1s

Steps

Iters	Range		Point
7	3.457740082972282e+20	7.457642907470294e+21	7.618757931022348e+20
9	-2.1059647068575667e-237	-9.773570726147312e-243	-1.7455397886813035e-237

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	41
1	27	41

end0.0ms

analyze931.0ms

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
33.3%	66.5%	0.2%	14

sample597.0ms

Algorithm

intervals

Results

308.0ms	8000×	body	80	valid
27.0ms	771×	body	80	invalid

Details

analyze935.0ms

sample27.0ms

simplify5.0ms

prune4.0ms

localize9.0ms

rewrite31.0ms

series57.0ms

simplify65.0ms

prune138.0ms

localize12.0ms

rewrite54.0ms

series149.0ms

simplify49.0ms

prune162.0ms

localize8.0ms

rewrite27.0ms

series53.0ms

simplify53.0ms

prune92.0ms

localize8.0ms

rewrite64.0ms

series60.0ms

simplify56.0ms

prune162.0ms

regimes716.0ms

bsearch2.1s

simplify1.0ms

end0.0ms

analyze931.0ms

sample597.0ms

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