Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	14	3
2	17	3
3	18	3
4	18	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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* x 100.0) (+ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

6.0ms

(/ (* x 100.0) (+ x y))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ (* x 100.0) (+ x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	152	122
1	703	102
2	3131	102
3	5001	102

prune44.0ms

Filtered

28 candidates to 19 candidates (67.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 100.0 (+ x y))
0.2b	(* x (/ 100.0 (+ x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 70

Calls

2 calls:

5.0ms	(/ 100.0 (+ x y))
9.0ms	(* x (/ 100.0 (+ x y)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 100.0 (+ x y))
48.0ms	(* x (/ 100.0 (+ x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	333
1	1017	304
2	4041	304
3	5001	304

prune109.0ms

Filtered

76 candidates to 51 candidates (67.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	76	5	81

Merged error: 0b

Counts

81 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) 100.0)
0.2b	(/ x (/ (+ x y) 100.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

2 → 115

Calls

2 calls:

5.0ms	(/ (+ x y) 100.0)
7.0ms	(/ x (/ (+ x y) 100.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (+ x y) 100.0)
45.0ms	(/ x (/ (+ x y) 100.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	379	794
1	1592	758
2	5001	757

prune180.0ms

Filtered

121 candidates to 84 candidates (69.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (sqrt 100.0))
0.1b	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
0.1b	(/ x (/ (+ x y) (sqrt 100.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
283×	`*-un-lft-identity`
211×	`add-sqr-sqrt`
185×	`add-cube-cbrt`
108×	`sqrt-prod`
89×	`associate-r`
49×	`distribute-lft-out`
34×	`associate-/r*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
8×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-l`
5×	`pow1`
3×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`flip3-+` `associate-r/` `pow-prod-down` `-commutative` `flip-+`

Counts

3 → 297

Calls

3 calls:

6.0ms	(/ (+ x y) (sqrt 100.0))
28.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
10.0ms	(/ x (/ (+ x y) (sqrt 100.0)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (+ x y) (sqrt 100.0))
133.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
85.0ms	(/ x (/ (+ x y) (sqrt 100.0)))

simplify104.0ms

Algorithm

egg-herbie

Counts

306 → 306

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	723	2618
1	3887	2458
2	5002	2406

prune463.0ms

Filtered

306 candidates to 169 candidates (55.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	306	4	310

Merged error: 0b

Counts

310 → 4

regimes43.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample280.0ms

Algorithm

intervals

Results

154.0ms

8000×

body

valid