Details

analyze2.1s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 4.968678%

Guaranteed chance to sample good point: 39.197847%

sample32.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	77×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

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: 7.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.5b	(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series39.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) a)

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	297	325
1	1236	280
2	5001	280

prune80.0ms

Filtered

45 candidates to 70 candidates (-55.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(+ x (/ y (/ a (- z t))))
5.5b	(/ y (/ a (- z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

5.0ms	(/ a (- z t))
22.0ms	(+ x (/ y (/ a (- z t))))
9.0ms	(/ y (/ a (- z t)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ a (- z t))
15.0ms	(+ x (/ y (/ a (- z t))))
12.0ms	(/ y (/ a (- z t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	547	1150
1	2384	1110
2	5001	1107

prune135.0ms

Filtered

119 candidates to 160 candidates (-34.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	162	4	166

Merged error: 0.0b

Counts

166 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ y a) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
8.5b	(/ (/ y a) (/ 1 (- z t)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
387×	`*-un-lft-identity`
385×	`add-sqr-sqrt`
293×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

3 → 384

Calls

3 calls:

64.0ms	(+ x (/ (/ y a) (/ 1 (- z t))))
5.0ms	(/ 1 (- z t))
16.0ms	(/ (/ y a) (/ 1 (- z t)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ (/ y a) (/ 1 (- z t))))
5.0ms	(/ 1 (- z t))
13.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1711	4274
1	5001	3895

prune293.0ms

Filtered

217 candidates to 393 candidates (-81.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	393	0	393
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	393	4	397

Merged error: 0.0b

Counts

397 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ y (sqrt a)) (/ (- z t) (sqrt a))))
0.1b	(/ (- z t) (sqrt a))
0.2b	(/ y (sqrt a))
1.8b	(* (/ y (sqrt a)) (/ (- z t) (sqrt a)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-sqr-sqrt`
108×	`times-frac`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
60×	`sqrt-prod`
34×	`associate-r`
22×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
9×	`unswap-sqr`
8×	`associate-/l*`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `flip--` `flip-+`

Counts

4 → 191

Calls

4 calls:

3.0ms	(+ x (* (/ y (sqrt a)) (/ (- z t) (sqrt a))))
7.0ms	(/ (- z t) (sqrt a))
4.0ms	(/ y (sqrt a))
24.0ms	(* (/ y (sqrt a)) (/ (- z t) (sqrt a)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (* (/ y (sqrt a)) (/ (- z t) (sqrt a))))
11.0ms	(/ (- z t) (sqrt a))
7.0ms	(/ y (sqrt a))
18.0ms	(* (/ y (sqrt a)) (/ (- z t) (sqrt a)))

simplify82.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	739	1587
1	3291	1491
2	5002	1425

prune128.0ms

Filtered

130 candidates to 203 candidates (-56.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	203	4	207

Merged error: 0.0b

Counts

207 → 4

regimes621.0ms

Accuracy

92.2% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

analyze2.1s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 4.968678%

Guaranteed chance to sample good point: 39.197847%

sample670.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	80	valid
68.0ms	2183×	body	80	invalid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Details

analyze2.1s

sample32.0ms

simplify40.0ms

prune4.0ms

localize7.0ms

rewrite19.0ms

series39.0ms

simplify37.0ms

prune80.0ms

localize7.0ms

rewrite43.0ms

series35.0ms

simplify60.0ms

prune135.0ms

localize8.0ms

rewrite117.0ms

series33.0ms

simplify81.0ms

prune293.0ms

localize9.0ms

rewrite49.0ms

series69.0ms

simplify82.0ms

prune128.0ms

regimes621.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.1s

sample670.0ms

Profiling

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4