Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify12.0ms

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

prune4.0ms

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

localize5.0ms

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` `expm1-log1p-u` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

6.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify77.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	155	130
1	718	110
2	3170	110
3	5002	110

prune55.0ms

Filtered

30 candidates to 21 candidates (70.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Merged error: 0b

Counts

31 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 74

Calls

2 calls:

5.0ms	(/ 100.0 (+ x y))
13.0ms	(* x (/ 100.0 (+ x y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 100.0 (+ x y))
48.0ms	(* x (/ 100.0 (+ x y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	228	347
1	1038	318
2	4106	318
3	5002	318

prune139.0ms

Filtered

80 candidates to 54 candidates (67.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	80	5	85

Merged error: 0b

Counts

85 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

2 → 119

Calls

2 calls:

6.0ms	(/ (+ x y) 100.0)
9.0ms	(/ x (/ (+ x y) 100.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (+ x y) 100.0)
51.0ms	(/ x (/ (+ x y) 100.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	386	808
1	1615	772
2	5001	771

prune225.0ms

Filtered

125 candidates to 88 candidates (70.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize7.0ms

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)))

rewrite76.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`flip3-+` `associate-r/` `pow-prod-down` `-commutative` `flip-+`

Counts

3 → 303

Calls

3 calls:

7.0ms	(/ (+ x y) (sqrt 100.0))
34.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
11.0ms	(/ x (/ (+ x y) (sqrt 100.0)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (+ x y) (sqrt 100.0))
143.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
100.0ms	(/ x (/ (+ x y) (sqrt 100.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	731	2650
1	3938	2489
2	5001	2437

prune541.0ms

Filtered

312 candidates to 175 candidates (56.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	312	4	316

Merged error: 0b

Counts

316 → 4

regimes47.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample299.0ms

Algorithm

intervals

Results

162.0ms

8000×

body

valid