Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

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 2 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(+ x (/ (- y x) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`fma-def` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

6.0ms	(/ (- y x) z)
9.0ms	(+ x (/ (- y x) z))

series48.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) z)
22.0ms	(+ x (/ (- y x) z))

simplify63.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	230	286
1	705	273
2	3068	273
3	5001	273

prune119.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 0b

Counts

65 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (/ y z)) (/ x z))
0.0b	(+ x (/ y z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
52×	`prod-diff`
50×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
37×	`times-frac`
16×	`distribute-lft-out`
9×	`add-log-exp`
4×	`fma-neg` `div-inv`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 95

Calls

2 calls:

13.0ms	(- (+ x (/ y z)) (/ x z))
6.0ms	(+ x (/ y z))

series40.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (+ x (/ y z)) (/ x z))
16.0ms	(+ x (/ y z))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	452	1584
1	1467	1108
2	5002	997

prune108.0ms

Filtered

101 candidates to 41 candidates (40.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	101	2	103

Merged error: 0b

Counts

103 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
0.1b	(/ 1 (sqrt z))
0.1b	(/ (- y x) (sqrt z))
0.2b	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

141×	`add-sqr-sqrt`
118×	`times-frac`
101×	`*-un-lft-identity`
69×	`add-cube-cbrt`
65×	`sqrt-prod`
34×	`associate-r`
32×	`add-exp-log`
22×	`associate-l`
20×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`div-exp`
8×	`pow1` `prod-exp` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `pow-flip` `fma-def` `1-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `frac-times` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 218

Calls

4 calls:

3.0ms	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
4.0ms	(/ 1 (sqrt z))
8.0ms	(/ (- y x) (sqrt z))
29.0ms	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
28.0ms	(/ 1 (sqrt z))
58.0ms	(/ (- y x) (sqrt z))
45.0ms	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	792	1744
1	3645	1529
2	5002	1395

prune382.0ms

Filtered

230 candidates to 133 candidates (57.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	230	2	232

Merged error: 0b

Counts

232 → 2

regimes39.0ms

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	8	4
1	8	4

end0.0ms

sample411.0ms

Algorithm

intervals

Results

205.0ms

10137×

body

valid