Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

371×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify71.0ms

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

prune61.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0b

Counts

36 → 3

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)))

rewrite24.0ms

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:

6.0ms	(/ (+ x y) (* t 2.0))
13.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ x y) (* t 2.0))
35.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (38.0ms)

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

prune123.0ms

Filtered

118 candidates to 55 candidates (46.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* t 2.0) (- (+ x y) z))
0.3b	(/ 1 (/ (* t 2.0) (- (+ x y) z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
55×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
28×	`add-exp-log`
25×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`add-cbrt-cube`
14×	`div-exp`
12×	`distribute-lft-out--`
11×	`associate-/r/`
7×	`cbrt-undiv`
6×	`div-inv` `distribute-lft-out` `difference-of-squares`
5×	`flip3--` `flip--`
4×	`prod-exp` `associate-/l*`
3×	`pow1` `rec-exp` `1-exp`
2×	`expm1-log1p-u` `frac-2neg` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 109

Calls

2 calls:

8.0ms	(/ (* t 2.0) (- (+ x y) z))
10.0ms	(/ 1 (/ (* t 2.0) (- (+ x y) z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (* t 2.0) (- (+ x y) z))
42.0ms	(/ 1 (/ (* t 2.0) (- (+ x y) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	428	901
1	2153	791
2	5002	713

prune126.0ms

Filtered

115 candidates to 56 candidates (48.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

16.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (36.0ms)

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

prune103.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample741.0ms

Algorithm

intervals

Results

462.0ms

10853×

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