Details

analyze1.2s

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

sample27.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	82×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4924	15
1	4924	15

prune17.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
0.2b	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

17.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
12.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

series17.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
5.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

simplify23.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5413	932

prune122.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	58	9	67

Merged error: 0b

Counts

67 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
0.1b	(/ (+ (/ 1 z) 1.0) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`distribute-lft-out`
7×	`add-log-exp`
5×	`div-inv` `associate-/l*`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r*`
2×	`pow1` `flip3-+` `frac-add` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--`

Counts

2 → 54

Calls

2 calls:

16.0ms	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
9.0ms	(/ (+ (/ 1 z) 1.0) t)

series17.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
4.0ms	(/ (+ (/ 1 z) 1.0) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5140	876

prune97.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	60	9	69

Merged error: 0b

Counts

69 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.0b	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
1.2b	(/ 2.0 (* t z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
5×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log`
3×	`pow1` `times-frac` `frac-add` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `associate-+r+` `flip3-+` `diff-log` `div-exp` `flip-+` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `flip--` `cbrt-unprod`

Counts

3 → 56

Calls

3 calls:

9.0ms	(+ (/ 2.0 t) (/ 2.0 (* t z)))
20.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
4.0ms	(/ 2.0 (* t z))

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4974	860
1	4974	860

prune96.0ms

Filtered

47 candidates to 65 candidates (-38.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	3	3	6
Picked	0	1	1
Done	1	1	2
Total	67	7	74

Merged error: 0b

Counts

74 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 t) (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))) 2.0))
0.3b	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
0.4b	(/ (sqrt 2.0) z)
0.4b	(/ (sqrt 2.0) t)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
65×	`*-un-lft-identity`
60×	`add-cube-cbrt`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
13×	`add-log-exp`
12×	`associate-/l*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r*`
4×	`prod-exp` `sum-log` `cbrt-unprod` `div-inv`
2×	`associate-+r+` `frac-2neg` `diff-log` `frac-add` `clear-num` `distribute-lft-out`
1×	`+-commutative` `frac-times` `associate-+r-` `sub-neg` `flip3--` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 171

Calls

4 calls:

18.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))) 2.0))
15.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
4.0ms	(/ (sqrt 2.0) z)
4.0ms	(/ (sqrt 2.0) t)

series34.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))) 2.0))
8.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
4.0ms	(/ (sqrt 2.0) z)
4.0ms	(/ (sqrt 2.0) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4962	1834
1	4962	1834

prune246.0ms

Filtered

120 candidates to 183 candidates (-52.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	184	6	190

Merged error: 0b

Counts

190 → 6

regimes324.0ms

Accuracy

0% (0.1b 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	27	15
1	27	15

end0.0ms

sample719.0ms

Algorithm

intervals

Results

370.0ms	8000×	body	80	valid
107.0ms	2286×	body	80	invalid

Details

analyze1.2s

sample27.0ms

simplify52.0ms

prune17.0ms

localize10.0ms

rewrite30.0ms

series17.0ms

simplify23.0ms

prune122.0ms

localize10.0ms

rewrite27.0ms

series17.0ms

simplify39.0ms

prune97.0ms

localize10.0ms

rewrite34.0ms

series22.0ms

simplify48.0ms

prune96.0ms

localize12.0ms

rewrite47.0ms

series34.0ms

simplify61.0ms

prune246.0ms

regimes324.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample719.0ms

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