Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 49.946128%

Results

11.0ms

269×

body

valid

simplify66.0ms

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	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
6.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite69.0ms

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:

32.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
17.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series74.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
7.0ms	(/ (+ (- t z) 1.0) a)
34.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify110.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (78.0ms)

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

prune232.0ms

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

localize9.0ms

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))
1.1b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite36.0ms

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))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
16.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series78.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
34.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify46.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (35.0ms)

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

prune117.0ms

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

localize9.0ms

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))
6.5b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite31.0ms

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)))

series65.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
9.0ms	(/ a (+ (- t z) 1.0))
20.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (10.0ms)

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

prune109.0ms

Filtered

71 candidates to 104 candidates (-46.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

108 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- (/ y (/ (+ (- t z) 1.0) a)) (/ z (/ (+ (- t z) 1.0) a)))
3.4b	(/ y (/ (+ (- t z) 1.0) a))
6.2b	(/ z (/ (+ (- t z) 1.0) a))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

474×	`*-un-lft-identity`
407×	`times-frac`
192×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
92×	`distribute-lft-out`
84×	`distribute-lft-out--`
41×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
15×	`div-inv`
11×	`associate-/l*`
9×	`difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1` `associate-/r/`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-out--` `associate-/l/`
1×	`associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-sub` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

4 → 289

Calls

4 calls:

9.0ms	(/ (+ (- t z) 1.0) a)
153.0ms	(- (/ y (/ (+ (- t z) 1.0) a)) (/ z (/ (+ (- t z) 1.0) a)))
18.0ms	(/ y (/ (+ (- t z) 1.0) a))
18.0ms	(/ z (/ (+ (- t z) 1.0) a))

series92.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (+ (- t z) 1.0) a)
32.0ms	(- (/ y (/ (+ (- t z) 1.0) a)) (/ z (/ (+ (- t z) 1.0) a)))
28.0ms	(/ y (/ (+ (- t z) 1.0) a))
25.0ms	(/ z (/ (+ (- t z) 1.0) a))

simplify101.0ms

Algorithm

egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	853	2791
1	3572	2633
2	5001	2630

prune348.0ms

Filtered

187 candidates to 301 candidates (-61.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	301	0	301
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	301	4	305

Merged error: 0b

Counts

305 → 4

regimes323.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 49.946128%

Results

346.0ms	8496×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample1.3s

simplify66.0ms

prune4.0ms

localize9.0ms

rewrite69.0ms

series74.0ms

simplify110.0ms

prune232.0ms

localize9.0ms

rewrite36.0ms

series78.0ms

simplify46.0ms

prune117.0ms

localize9.0ms

rewrite31.0ms

series65.0ms

simplify47.0ms

prune109.0ms

localize18.0ms

rewrite216.0ms

series92.0ms

simplify101.0ms

prune348.0ms

regimes323.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling