Details

sample735.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 57.568359%

Guaranteed chance to sample good point: 65.117952%

Results

9.0ms	256×	body	80	valid
7.0ms	188×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

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: 5.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
4.8b	(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r*` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms	(- (* z z) t)
8.0ms	(* (* y 4.0) (- (* z z) t))

series38.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms	(- (* z z) t)
15.0ms	(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	292	385
1	1348	342
2	5001	337

prune80.0ms

Filtered

41 candidates to 63 candidates (-53.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 2.0b

Counts

64 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.8b	(sqrt (- (* z z) t))
4.8b	(sqrt (- (* z z) t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

9.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
15.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(sqrt (- (* z z) t))

series39.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
13.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.0ms	(sqrt (- (* z z) t))
6.0ms	(sqrt (- (* z z) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	370	767
1	1766	653
2	5002	647

prune102.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Merged error: 2.0b

Counts

107 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z z) t)
3.4b	(+ (neg (* t t)) (pow z 4))
4.8b	(* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t)))
31.1b	(/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
8×	`distribute-lft-out`
6×	`prod-exp` `cbrt-unprod`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `sum-log`
2×	`+-commutative` `neg-sub0` `associate-+l-` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-r/` `associate-l` `neg-log` `clear-num` `-commutative`

Counts

4 → 99

Calls

4 calls:

4.0ms	(+ (* z z) t)
6.0ms	(+ (neg (* t t)) (pow z 4))
14.0ms	(* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t)))
13.0ms	(/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))

series72.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* z z) t)
10.0ms	(+ (neg (* t t)) (pow z 4))
43.0ms	(* (* y 4.0) (/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t)))
15.0ms	(/ (+ (neg (* t t)) (pow z 4)) (+ (* z z) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	456	1058
1	2639	867
2	5001	852

prune157.0ms

Filtered

78 candidates to 111 candidates (-42.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 2.0b

Counts

117 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- z (sqrt t))
0.0b	(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
0.1b	(* (* y 4.0) (+ z (sqrt t)))
0.2b	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-r/` `associate-r*`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
6×	`add-cube-cbrt` `sub-neg`
5×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
4×	`frac-times` `flip3-+` `flip-+` `associate--r+` `difference-of-squares`
2×	`diff-log` `associate-l` `associate-l/` `sqrt-prod` `-commutative` `distribute-lft-out--`
1×	`distribute-lft-out`

Counts

4 → 90

Calls

4 calls:

4.0ms	(- z (sqrt t))
3.0ms	(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
7.0ms	(* (* y 4.0) (+ z (sqrt t)))
13.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- z (sqrt t))
22.0ms	(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
11.0ms	(* (* y 4.0) (+ z (sqrt t)))
18.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	563	864
1	3296	727
2	5001	718

prune100.0ms

Filtered

70 candidates to 102 candidates (-45.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	100	8	108

Merged error: 2.0b

Counts

108 → 8

regimes885.0ms

Accuracy

83.8% (0.5b remaining)

Error of 3.2b against oracle of 2.7b and baseline of 6.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 57.568359%

Guaranteed chance to sample good point: 65.117952%

Results

299.0ms	8000×	body	80	valid
205.0ms	5408×	body	80	invalid

Details

sample735.0ms

simplify68.0ms

prune4.0ms

localize9.0ms

rewrite16.0ms

series38.0ms

simplify41.0ms

prune80.0ms

localize13.0ms

rewrite35.0ms

series39.0ms

simplify55.0ms

prune102.0ms

localize14.0ms

rewrite41.0ms

series72.0ms

simplify75.0ms

prune157.0ms

localize10.0ms

rewrite30.0ms

series56.0ms

simplify90.0ms

prune100.0ms

regimes885.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling