Details

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.434326%

Guaranteed chance to sample good point: 57.272896%

Results

12.0ms	256×	body	80	valid
4.0ms	87×	body	80	invalid

simplify51.0ms

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: 7.9b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
7.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite25.0ms

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:

10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series27.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune96.0ms

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: 0.0b

Counts

72 → 5

localize10.0ms

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))

rewrite32.0ms

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:

16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
14.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series18.0ms

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

prune98.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize8.0ms

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)

rewrite32.0ms

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:

20.0ms	(+ (/ 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)

simplify74.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (68.0ms)

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

prune73.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
0.0b	(* (* z 2.0) (- 1.0 t))
7.3b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
10.0b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

rewrite57.0ms

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:

29.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
9.0ms	(* (* z 2.0) (- 1.0 t))
5.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
8.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

series38.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
6.0ms	(* (* z 2.0) (- 1.0 t))
8.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
9.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	648	1506
1	2536	1409
2	5003	1409

prune211.0ms

Filtered

114 candidates to 151 candidates (-32.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

regimes435.0ms

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

sample3.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.434326%

Guaranteed chance to sample good point: 57.272896%

Results

399.0ms	8000×	body	80	valid
121.0ms	2285×	body	80	invalid

Details

sample2.6s

simplify51.0ms

prune4.0ms

localize14.0ms

rewrite25.0ms

series27.0ms

simplify48.0ms

prune96.0ms

localize10.0ms

rewrite32.0ms

series18.0ms

simplify47.0ms

prune98.0ms

localize8.0ms

rewrite32.0ms

series18.0ms

simplify74.0ms

prune73.0ms

localize11.0ms

rewrite57.0ms

series38.0ms

simplify69.0ms

prune211.0ms

regimes435.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

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