Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

304×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (13.0ms)

Iter	Nodes	Cost
0	16	3
1	24	3
2	38	3
3	45	3
4	53	3
5	57	3
6	67	3
7	309	2
8	2125	2
9	5001	2

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

3.4b	(fma (/ y z) x x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y z) x x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (/ y z) x x)

simplify143.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	26	44
1	62	39
2	205	39
3	849	39
4	4785	39
5	5001	39

prune25.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.1b

Counts

15 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
12.1b	(/ (* x (+ y z)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

6.0ms	(* x (+ y z))
7.0ms	(/ (* x (+ y z)) z)

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
39.0ms	(/ (* x (+ y z)) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	234	220
1	1134	191
2	5001	188

prune86.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.0b	(/ x (/ z (+ y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 127

Calls

2 calls:

5.0ms	(/ z (+ y z))
8.0ms	(/ x (/ z (+ y z)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ z (+ y z))
44.0ms	(/ x (/ z (+ y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	420	883
1	1912	847
2	5002	841

prune211.0ms

Filtered

133 candidates to 96 candidates (72.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	134	4	138

Merged error: 0b

Counts

138 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ y z))
0.3b	(/ 1 (/ (/ z (+ y z)) x))
2.9b	(/ (/ z (+ y z)) x)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

648×	`times-frac`
398×	`*-un-lft-identity`
294×	`add-sqr-sqrt` `add-cube-cbrt`
65×	`associate-/r*`
52×	`distribute-lft-out`
35×	`associate-/r/`
31×	`add-exp-log`
24×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 389

Calls

3 calls:

5.0ms	(/ z (+ y z))
19.0ms	(/ 1 (/ (/ z (+ y z)) x))
9.0ms	(/ (/ z (+ y z)) x)

series149.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ z (+ y z))
38.0ms	(/ 1 (/ (/ z (+ y z)) x))
68.0ms	(/ (/ z (+ y z)) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

398 → 398

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1215	3761
1	5001	3348

prune593.0ms

Filtered

398 candidates to 246 candidates (61.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	398	4	402

Merged error: 0b

Counts

402 → 4

regimes116.0ms

Accuracy

91% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	25	24
1	28	24
2	34	17
3	37	17
4	43	17
5	54	17
6	61	17
7	62	17
8	62	17

end0.0ms

sample461.0ms

Algorithm

intervals

Results

252.0ms

9634×

body

valid