Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 69.335938%

Results

11.0ms

268×

body

valid

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: 2.2b

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)))
11.5b	(/ (- 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:

8.0ms	(/ (+ (- t z) 1.0) a)
32.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series69.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (+ (- t z) 1.0) a)
30.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify68.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (48.0ms)

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

prune210.0ms

Filtered

119 candidates to 201 candidates (-68.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	5	202

Merged error: 0.0b

Counts

202 → 5

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))
0.9b	(* (/ (- 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)

series72.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
30.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (37.0ms)

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

prune123.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	123	5	128

Merged error: 0b

Counts

128 → 5

localize13.0ms

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))
1.3b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite188.0ms

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:

102.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
24.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series72.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
12.0ms	(/ (- y z) (+ (- t z) 1.0))
29.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify110.0ms

Algorithm

egg-herbie

Counts

554 → 554

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1925	7704
1	5002	7175

prune436.0ms

Filtered

226 candidates to 554 candidates (-145.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	554	0	554
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	554	5	559

Merged error: 0b

Counts

559 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.4b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
0.9b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

447×	`*-un-lft-identity`
392×	`times-frac`
254×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
10.0ms	(/ (+ (- t z) 1.0) (- y z))
16.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
26.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series94.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
11.0ms	(/ (+ (- t z) 1.0) (- y z))
20.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
27.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify133.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	887	3106
1	4344	2799
2	5002	2576

prune288.0ms

Filtered

165 candidates to 350 candidates (-112.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	350	5	355

Merged error: 0b

Counts

355 → 5

regimes554.0ms

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	17	7
1	17	7

end0.0ms

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 69.335938%

Results

365.0ms	8499×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample1.7s

simplify67.0ms

prune4.0ms

localize9.0ms

rewrite63.0ms

series69.0ms

simplify68.0ms

prune210.0ms

localize9.0ms

rewrite31.0ms

series72.0ms

simplify47.0ms

prune123.0ms

localize13.0ms

rewrite188.0ms

series72.0ms

simplify110.0ms

prune436.0ms

localize10.0ms

rewrite75.0ms

series94.0ms

simplify133.0ms

prune288.0ms

regimes554.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Profiling