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

sample33.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
3.0ms	65×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4924	15
1	4924	15

prune11.0ms

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 3 expressions with local error:

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

rewrite39.0ms

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:

19.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
6.0ms	(+ (/ 1 z) 1.0)
11.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

series19.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ (/ 1 z) 1.0)) 2.0))
2.0ms	(+ (/ 1 z) 1.0)
5.0ms	(* (/ 2.0 t) (+ (/ 1 z) 1.0))

simplify24.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5417	1049

prune121.0ms

Filtered

62 candidates to 81 candidates (-30.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

17.0ms	(+ (/ x y) (- (* 2.0 (/ (+ (/ 1 z) 1.0) t)) 2.0))
6.0ms	(+ (/ 1 z) 1.0)
9.0ms	(/ (+ (/ 1 z) 1.0) t)

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5299	993

prune96.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0b

Counts

80 → 4

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)))
0.8b	(/ 2.0 (* t z))

rewrite35.0ms

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)))
5.0ms	(/ 2.0 (* t z))

series21.0ms

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))

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4974	860
1	4974	860

prune79.0ms

Filtered

47 candidates to 65 candidates (-38.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 z) 1.0)
0.2b	(* (+ (/ 1 z) 1.0) (/ (sqrt 2.0) t))
0.4b	(* (/ (sqrt 2.0) 1) (* (+ (/ 1 z) 1.0) (/ (sqrt 2.0) t)))
0.5b	(/ (sqrt 2.0) t)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
54×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
46×	`add-cube-cbrt`
41×	`add-exp-log`
32×	`add-cbrt-cube`
31×	`sqrt-prod`
27×	`associate-l`
23×	`associate-r`
17×	`prod-exp`
12×	`cbrt-unprod`
11×	`pow1` `frac-times` `div-exp`
8×	`associate-*r/`
7×	`cbrt-undiv` `flip3-+` `associate-*l/` `flip-+`
6×	`associate-/l*` `add-log-exp`
5×	`div-inv`
4×	`pow-prod-down` `distribute-lft-out`
3×	`1-exp` `associate-/r*` `unswap-sqr`
2×	`*-commutative`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 159

Calls

4 calls:

6.0ms	(+ (/ 1 z) 1.0)
14.0ms	(* (+ (/ 1 z) 1.0) (/ (sqrt 2.0) t))
16.0ms	(* (/ (sqrt 2.0) 1) (* (+ (/ 1 z) 1.0) (/ (sqrt 2.0) t)))
4.0ms	(/ (sqrt 2.0) t)

series220.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ (/ 1 z) 1.0)
8.0ms	(* (+ (/ 1 z) 1.0) (/ (sqrt 2.0) t))
206.0ms	(* (/ (sqrt 2.0) 1) (* (+ (/ 1 z) 1.0) (/ (sqrt 2.0) t)))
4.0ms	(/ (sqrt 2.0) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4999	1819
1	4999	1819

prune247.0ms

Filtered

109 candidates to 171 candidates (-56.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	171	4	175

Merged error: 0b

Counts

175 → 4

regimes290.0ms

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

sample771.0ms

Algorithm

intervals

Results

376.0ms	8000×	body	80	valid
115.0ms	2312×	body	80	invalid

Details

analyze1.2s

sample33.0ms

simplify53.0ms

prune11.0ms

localize10.0ms

rewrite39.0ms

series19.0ms

simplify24.0ms

prune121.0ms

localize14.0ms

rewrite34.0ms

series18.0ms

simplify37.0ms

prune96.0ms

localize10.0ms

rewrite35.0ms

series21.0ms

simplify49.0ms

prune79.0ms

localize15.0ms

rewrite47.0ms

series220.0ms

simplify46.0ms

prune247.0ms

regimes290.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample771.0ms

Profiling