Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

339×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 8.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-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×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

5.0ms	(- x (/ (* y (- z t)) a))
11.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) a)

series163.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- x (/ (* y (- z t)) a))
46.0ms	(* y (- z t))
59.0ms	(/ (* y (- z t)) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune165.0ms

Filtered

72 candidates to 47 candidates (65.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.5b	(/ y (/ a (- z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 155

Calls

3 calls:

22.0ms	(- x (/ y (/ a (- z t))))
6.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- x (/ y (/ a (- z t))))
35.0ms	(/ a (- z t))
70.0ms	(/ y (/ a (- z t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	551	1200
1	2371	1160
2	5001	1157

prune420.0ms

Filtered

164 candidates to 122 candidates (74.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	160	4	164
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	166	6	172

Merged error: 0b

Counts

172 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (/ y a) (- z t)))
8.0b	(* (/ y a) (- z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

3.0ms	(- x (* (/ y a) (- z t)))
10.0ms	(* (/ y a) (- z t))

series136.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- x (* (/ y a) (- z t)))
76.0ms	(* (/ y a) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	316	343
1	1221	313
2	5001	305

prune130.0ms

Filtered

64 candidates to 41 candidates (64.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ y a) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
8.1b	(/ (/ y a) (/ 1 (- z t)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
410×	`add-sqr-sqrt`
389×	`*-un-lft-identity`
293×	`add-cube-cbrt`
53×	`difference-of-squares`
47×	`distribute-lft-out--`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`flip3--` `flip--` `associate-/l*`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 392

Calls

3 calls:

73.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
6.0ms	(/ 1 (- z t))
17.0ms	(/ (/ y a) (/ 1 (- z t)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
47.0ms	(/ 1 (- z t))
62.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	1735	4403
1	5001	4018

prune807.0ms

Filtered

401 candidates to 221 candidates (55.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	401	6	407

Merged error: 0b

Counts

407 → 6

regimes373.0ms

Accuracy

84.9% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	17
1	26	17

end0.0ms

sample662.0ms

Algorithm

intervals

Results

341.0ms

10643×

body

valid