Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

343×

body

valid

simplify35.0ms

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

localize9.0ms

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` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

9.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	203	198
1	740	169
2	3492	169
3	5001	169

prune54.0ms

Filtered

33 candidates to 23 candidates (69.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize8.0ms

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)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
8×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `associate-/l*` `add-log-exp`
3×	`div-inv` `distribute-lft-out` `distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `div-exp` `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 → 44

Calls

2 calls:

6.0ms	(/ (+ x y) (* t 2.0))
10.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ x y) (* t 2.0))
39.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	268	324
1	890	289
2	3645	287
3	5001	287

prune79.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize8.0ms

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×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 65

Calls

1 calls:

17.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	396	501
1	1791	422
2	5002	416

prune96.0ms

Filtered

68 candidates to 42 candidates (61.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ (/ 1 t) (sqrt 2.0)) (/ (- (+ x y) z) (sqrt 2.0)))
0.4b	(/ (- (+ x y) z) (sqrt 2.0))
0.4b	(/ (/ 1 t) (sqrt 2.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

389×	`times-frac`
295×	`add-sqr-sqrt`
260×	`*-un-lft-identity`
189×	`add-cube-cbrt`
136×	`sqrt-prod`
82×	`associate-l`
49×	`add-exp-log`
40×	`associate-r`
31×	`add-cbrt-cube`
26×	`distribute-lft-out--`
24×	`div-exp`
21×	`unswap-sqr`
19×	`associate-/l*`
17×	`div-inv`
13×	`cbrt-undiv` `distribute-lft-out` `difference-of-squares`
12×	`associate-/r*`
10×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

3 → 348

Calls

3 calls:

61.0ms	(* (/ (/ 1 t) (sqrt 2.0)) (/ (- (+ x y) z) (sqrt 2.0)))
9.0ms	(/ (- (+ x y) z) (sqrt 2.0))
11.0ms	(/ (/ 1 t) (sqrt 2.0))

series373.0ms

Counts

3 → 9

Calls

3 calls:

220.0ms	(* (/ (/ 1 t) (sqrt 2.0)) (/ (- (+ x y) z) (sqrt 2.0)))
96.0ms	(/ (- (+ x y) z) (sqrt 2.0))
57.0ms	(/ (/ 1 t) (sqrt 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

357 → 357

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1109	3563
1	5001	3231

prune550.0ms

Filtered

357 candidates to 191 candidates (53.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	357	0	357
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	357	3	360

Merged error: 0b

Counts

360 → 3

regimes141.0ms

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

sample591.0ms

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