Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.341797%

Guaranteed chance to sample good point: 38.07876%

Results

14.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	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: 2.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.8b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

8.0ms	(/ (+ (- t z) 1.0) a)
35.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
14.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (+ (- t z) 1.0) a)
33.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
28.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify70.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune219.0ms

Filtered

119 candidates to 201 candidates (-68.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	4	202

Merged error: 0b

Counts

202 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
15.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series70.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
27.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify45.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune122.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.9b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

107.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
29.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series78.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
37.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify117.0ms

Algorithm

egg-herbie

Counts

554 → 554

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1925	7704
1	5002	7175

prune448.0ms

Filtered

226 candidates to 554 candidates (-145.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	554	0	554
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	554	4	558

Merged error: 0b

Counts

558 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
9.3b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.0ms	(/ a (+ (- t z) 1.0))
16.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.0ms	(/ a (+ (- t z) 1.0))
17.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	686
1	1779	630
2	5002	630

prune97.0ms

Filtered

71 candidates to 104 candidates (-46.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes324.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample3.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.341797%

Guaranteed chance to sample good point: 38.07876%

Results

343.0ms	8000×	body	80	valid
24.0ms	465×	body	80	invalid

Details

sample2.8s

simplify67.0ms

prune4.0ms

localize9.0ms

rewrite68.0ms

series67.0ms

simplify70.0ms

prune219.0ms

localize11.0ms

rewrite34.0ms

series70.0ms

simplify45.0ms

prune122.0ms

localize10.0ms

rewrite196.0ms

series78.0ms

simplify117.0ms

prune448.0ms

localize11.0ms

rewrite30.0ms

series59.0ms

simplify48.0ms

prune97.0ms

regimes324.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

Profiling