Details

analyze4.3s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 3.268383%

Guaranteed chance to sample good point: 53.087314%

sample30.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	60×	body	80	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

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: 11.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

7.0ms	(* (* z 2.0) (- 1.0 t))
15.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	415	543
1	1753	476
2	5001	473

prune103.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

19.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	489	525
1	2096	469
2	5001	452

prune96.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	69	4	73

Merged error: 0b

Counts

73 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

19.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series18.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify76.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	307	435
1	922	414
2	3297	406
3	5002	401

prune70.0ms

Filtered

40 candidates to 58 candidates (-45.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0b

Counts

62 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
11.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
11.1b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

7.0ms	(* (* z 2.0) (- 1.0 t))
32.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
5.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
8.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
13.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
9.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
9.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	648	1506
1	2536	1409
2	5001	1409

prune197.0ms

Filtered

114 candidates to 151 candidates (-32.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	151	4	155

Merged error: 0b

Counts

155 → 4

regimes402.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

analyze3.7s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 3.268383%

Guaranteed chance to sample good point: 53.087314%

sample824.0ms

Algorithm

intervals

Results

411.0ms	8000×	body	80	valid
113.0ms	2078×	body	80	invalid

Details

analyze4.3s

sample30.0ms

simplify56.0ms

prune4.0ms

localize12.0ms

rewrite30.0ms

series29.0ms

simplify50.0ms

prune103.0ms

localize11.0ms

rewrite33.0ms

series19.0ms

simplify47.0ms

prune96.0ms

localize9.0ms

rewrite30.0ms

series18.0ms

simplify76.0ms

prune70.0ms

localize12.0ms

rewrite58.0ms

series37.0ms

simplify68.0ms

prune197.0ms

regimes402.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.7s

sample824.0ms

Profiling