Details

analyze1.6s

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

sample62.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
8.0ms	82×	body	80	invalid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4924	15
1	4924	15

prune21.0ms

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

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

6.0ms	(+ (/ 1 z) 1.0)
16.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
12.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

series22.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ (/ 1 z) 1.0)
15.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
5.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

simplify25.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5417	1049

prune155.0ms

Filtered

62 candidates to 81 candidates (-30.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

7.0ms	(+ (/ 1 z) 1.0)
16.0ms	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
11.0ms	(/ (+ (/ 1 z) 1.0) t)

series19.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5299	993

prune107.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
0.0b	(+ (/ 2.0 t) (/ 2.0 (* t z)))
1.1b	(/ 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:

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

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4974	860
1	4974	860

prune98.0ms

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	1	3	4
Picked	0	1	1
Done	1	1	2
Total	65	7	72

Merged error: 0b

Counts

72 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2.0 t) (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)))
0.2b	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
0.4b	(/ (sqrt 2.0) z)
0.5b	(/ (sqrt 2.0) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 165

Calls

4 calls:

6.0ms	(+ (/ 2.0 t) (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)))
15.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
4.0ms	(/ (sqrt 2.0) z)
4.0ms	(/ (sqrt 2.0) t)

series29.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (/ 2.0 t) (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)))
8.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
4.0ms	(/ (sqrt 2.0) z)
7.0ms	(/ (sqrt 2.0) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4955	1561
1	4955	1561

prune242.0ms

Filtered

116 candidates to 177 candidates (-52.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	2	2	4
Picked	0	1	1
Done	1	1	2
Total	178	6	184

Merged error: 0b

Counts

184 → 6

regimes357.0ms

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

sample819.0ms

Algorithm

intervals

Results

412.0ms	8000×	body	80	valid
118.0ms	2326×	body	80	invalid

Details

analyze1.6s

sample62.0ms

simplify74.0ms

prune21.0ms

localize17.0ms

rewrite37.0ms

series22.0ms

simplify25.0ms

prune155.0ms

localize11.0ms

rewrite35.0ms

series19.0ms

simplify34.0ms

prune107.0ms

localize10.0ms

rewrite34.0ms

series22.0ms

simplify45.0ms

prune98.0ms

localize13.0ms

rewrite36.0ms

series29.0ms

simplify70.0ms

prune242.0ms

regimes357.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample819.0ms

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