Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

335×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

7.0ms

(/ (- (* x x) 3.0) 6.0)

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(/ (- (* x x) 3.0) 6.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	182	228
1	585	214
2	2311	212
3	5001	211

prune72.0ms

Filtered

39 candidates to 32 candidates (82.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* x x) 6.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

5.0ms

(/ (* x x) 6.0)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/ (* x x) 6.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	109	91
1	467	76
2	2005	76
3	5001	76

prune34.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (/ x 6.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

7.0ms

(* x (/ x 6.0))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* x (/ x 6.0))

simplify30.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	164	139
1	782	118
2	5002	118

prune49.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	37	4	41

Merged error: 0b

Counts

41 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(+ x (sqrt 3.0))
0.1b	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b	(/ 6.0 (- x (sqrt 3.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
196×	`*-un-lft-identity`
184×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
29×	`sqrt-prod`
26×	`distribute-lft-out`
20×	`distribute-lft-out--`
18×	`prod-diff`
13×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`flip3--` `flip--` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-def` `fma-neg`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 241

Calls

4 calls:

5.0ms	(- x (sqrt 3.0))
4.0ms	(+ x (sqrt 3.0))
13.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
7.0ms	(/ 6.0 (- x (sqrt 3.0)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- x (sqrt 3.0))
35.0ms	(+ x (sqrt 3.0))
165.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
71.0ms	(/ 6.0 (- x (sqrt 3.0)))

simplify105.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	681	2672
1	3341	2364
2	5002	2346

prune326.0ms

Filtered

253 candidates to 152 candidates (60.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	253	4	257

Merged error: 0b

Counts

257 → 4

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample345.0ms

Algorithm

intervals

Results

229.0ms

10639×

body

valid