Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

308×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (34.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
9.0ms	(/ (- x z) y)

series53.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
26.0ms	(/ (- x z) y)

simplify83.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	263	320
1	854	293
2	3903	293
3	5001	293

prune102.0ms

Filtered

57 candidates to 42 candidates (73.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

10.0ms	(* 4.0 (/ (- x z) y))
6.0ms	(/ (- x z) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* 4.0 (/ (- x z) y))
29.0ms	(/ (- x z) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	275	397
1	1205	366
2	5002	366

prune125.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Merged error: 0b

Counts

85 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

19.0ms	(* 4.0 (- (/ x y) (/ z y)))
13.0ms	(- (/ x y) (/ z y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* 4.0 (- (/ x y) (/ z y)))
21.0ms	(- (/ x y) (/ z y))

simplify80.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	235	352
1	912	325
2	3828	325
3	5001	325

prune96.0ms

Filtered

64 candidates to 44 candidates (68.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x z) y)
0.2b	(* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y)))
3.2b	(sqrt (/ (- x z) y))
3.2b	(sqrt (/ (- x z) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
140×	`sqrt-prod`
138×	`*-un-lft-identity`
125×	`times-frac`
76×	`add-cube-cbrt`
30×	`swap-sqr`
28×	`distribute-lft-out--`
22×	`associate-r` `associate-l` `difference-of-squares`
21×	`pow1`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up` `associate-/l*`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 211

Calls

4 calls:

6.0ms	(/ (- x z) y)
25.0ms	(* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y)))
5.0ms	(sqrt (/ (- x z) y))
5.0ms	(sqrt (/ (- x z) y))

series219.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (- x z) y)
72.0ms	(* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y)))
63.0ms	(sqrt (/ (- x z) y))
59.0ms	(sqrt (/ (- x z) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	384	1377
1	1836	1289
2	5002	1270

prune432.0ms

Filtered

223 candidates to 142 candidates (63.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	223	3	226

Merged error: 0b

Counts

226 → 3

regimes48.0ms

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	5
1	11	5

end0.0ms

sample556.0ms

Algorithm

intervals

Results

349.0ms

10067×

body

valid