Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

343×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

10.0ms

(/ (- (+ x y) z) (* t 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178

prune58.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* t 2.0))
0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
63×	`*-un-lft-identity`
56×	`prod-diff`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
19×	`div-inv`
11×	`distribute-lft-out`
8×	`fma-neg`
7×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `difference-of-squares`

Counts

2 → 112

Calls

2 calls:

9.0ms	(/ (+ x y) (* t 2.0))
20.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ x y) (* t 2.0))
38.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	476	1714
1	1549	1268
2	5001	1158

prune199.0ms

Filtered

118 candidates to 54 candidates (45.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 t) (/ (- (+ x y) z) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`times-frac`
23×	`add-exp-log`
22×	`associate-r`
18×	`add-cube-cbrt`
13×	`associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`distribute-lft-out--` `unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1` `distribute-lft-out` `difference-of-squares`
2×	`rec-exp` `1-exp` `div-inv`
1×	`expm1-log1p-u` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 67

Calls

1 calls:

17.0ms

(* (/ 1 t) (/ (- (+ x y) z) 2.0))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (/ 1 t) (/ (- (+ x y) z) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	400	513
1	1807	434
2	5003	428

prune104.0ms

Filtered

70 candidates to 44 candidates (62.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sqrt (+ x y)) t)
0.1b	(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`sqrt-prod`
7×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 57

Calls

2 calls:

6.0ms	(/ (sqrt (+ x y)) t)
1.0ms	(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))

series236.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (sqrt (+ x y)) t)
170.0ms	(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	229	465
1	610	427
2	2087	416
3	5001	416

prune162.0ms

Filtered

63 candidates to 45 candidates (71.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	63	3	66

Merged error: 0b

Counts

66 → 3

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample594.0ms

Algorithm

intervals

Results

326.0ms

10894×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4