Details

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.341797%

Guaranteed chance to sample good point: 18.410093%

Results

10.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 2.2b

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)
10.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite63.0ms

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:

33.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series64.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
6.0ms	(/ (+ (- t z) 1.0) a)
26.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify69.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (48.0ms)

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

prune211.0ms

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))
1.5b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite31.0ms

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:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
14.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series67.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
26.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify44.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (33.0ms)

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

prune116.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(/ (+ (- t z) 1.0) a)
5.3b	(/ y (/ (+ (- t z) 1.0) a))
8.1b	(/ z (/ (+ (- t z) 1.0) a))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

296×	`*-un-lft-identity`
264×	`times-frac`
136×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`distribute-lft-out`
44×	`associate-/r*`
32×	`distribute-lft-out--`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
12×	`div-inv`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`associate-+l-` `flip3-+` `div-sub` `associate-/r/` `flip-+`

Counts

4 → 264

Calls

4 calls:

8.0ms	(/ (+ (- t z) 1.0) a)
9.0ms	(/ (+ (- t z) 1.0) a)
12.0ms	(/ y (/ (+ (- t z) 1.0) a))
10.0ms	(/ z (/ (+ (- t z) 1.0) a))

series59.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (+ (- t z) 1.0) a)
6.0ms	(/ (+ (- t z) 1.0) a)
28.0ms	(/ y (/ (+ (- t z) 1.0) a))
18.0ms	(/ z (/ (+ (- t z) 1.0) a))

simplify83.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	678	2182
1	2992	2084
2	5001	2084

prune326.0ms

Filtered

174 candidates to 276 candidates (-58.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	276	4	280

Merged error: 0b

Counts

280 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
0.0b	(* (- y z) a)
8.8b	(/ (* (- y z) a) (+ (- t z) 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

9.0ms	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
6.0ms	(* (- y z) a)
11.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

series54.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
6.0ms	(* (- y z) a)
17.0ms	(/ (* (- y z) a) (+ (- t z) 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	355	455
1	1509	405
2	5002	405

prune110.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Merged error: 0b

Counts

78 → 4

regimes319.0ms

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

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.341797%

Guaranteed chance to sample good point: 18.410093%

Results

345.0ms	7999×	body	80	valid
19.0ms	494×	body	80	invalid
0.0ms	1×	body	640	valid

Details

sample3.8s

simplify69.0ms

prune4.0ms

localize9.0ms

rewrite63.0ms

series64.0ms

simplify69.0ms

prune211.0ms

localize11.0ms

rewrite31.0ms

series67.0ms

simplify44.0ms

prune116.0ms

localize10.0ms

rewrite51.0ms

series59.0ms

simplify83.0ms

prune326.0ms

localize10.0ms

rewrite27.0ms

series54.0ms

simplify50.0ms

prune110.0ms

regimes319.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling