Details

analyze2.7s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 0.584866%

Guaranteed chance to sample good point: 38.07876%

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify70.0ms

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

localize10.0ms

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)))
9.5b	(/ (- 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))

series71.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (+ (- t z) 1.0) a)
31.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify72.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (50.0ms)

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

prune226.0ms

Filtered

119 candidates to 201 candidates (-68.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	196	5	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	6	202

Merged error: 0b

Counts

202 → 6

localize10.0ms

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)

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:

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

series76.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
33.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify49.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (38.0ms)

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

prune132.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Merged error: 0b

Counts

129 → 6

localize11.0ms

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))
1.1b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite199.0ms

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:

111.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
27.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series76.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
29.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify114.0ms

Algorithm

egg-herbie

Counts

554 → 554

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1925	7704
1	5002	7175

prune462.0ms

Filtered

225 candidates to 554 candidates (-146.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	554	0	554
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	554	6	560

Merged error: 0b

Counts

560 → 6

localize10.0ms

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

rewrite32.0ms

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

series65.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
9.0ms	(/ a (+ (- t z) 1.0))
22.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

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

prune101.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	104	6	110

Merged error: 0b

Counts

110 → 6

regimes520.0ms

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

analyze2.8s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 0.584866%

Guaranteed chance to sample good point: 38.07876%

sample642.0ms

Algorithm

intervals

Results

347.0ms	7997×	body	80	valid
19.0ms	478×	body	80	invalid
0.0ms	3×	body	160	valid

Details

analyze2.7s

sample24.0ms

simplify70.0ms

prune4.0ms

localize10.0ms

rewrite68.0ms

series71.0ms

simplify72.0ms

prune226.0ms

localize10.0ms

rewrite34.0ms

series76.0ms

simplify49.0ms

prune132.0ms

localize11.0ms

rewrite199.0ms

series76.0ms

simplify114.0ms

prune462.0ms

localize10.0ms

rewrite32.0ms

series65.0ms

simplify50.0ms

prune101.0ms

regimes520.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.8s

sample642.0ms

Profiling