Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

346×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3

prune1.0ms

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 2 expressions with local error:

0.0b	(- (* x x) 3.0)
0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

7.0ms	(- (* x x) 3.0)
6.0ms	(/ (- (* x x) 3.0) 6.0)

series109.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* x x) 3.0)
65.0ms	(/ (- (* x x) 3.0) 6.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	285
1	661	264
2	2616	264
3	5001	264

prune209.0ms

Filtered

53 candidates to 41 candidates (77.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Merged error: 0b

Counts

54 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.16666666666666666 (pow x 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

5.0ms

(* 0.16666666666666666 (pow x 2))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* 0.16666666666666666 (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	107	102
1	404	87
2	1988	87
3	5002	86

prune35.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	30	5	35

Merged error: 0b

Counts

35 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.2b	(cbrt (- (* x x) 3.0))
0.2b	(cbrt (- (* x x) 3.0))
0.2b	(cbrt (- (* x x) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

12.0ms	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
4.0ms	(cbrt (- (* x x) 3.0))
4.0ms	(cbrt (- (* x x) 3.0))
4.0ms	(cbrt (- (* x x) 3.0))

series868.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
187.0ms	(cbrt (- (* x x) 3.0))
250.0ms	(cbrt (- (* x x) 3.0))
211.0ms	(cbrt (- (* x x) 3.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	335	957
1	1207	905
2	5001	856

prune268.0ms

Filtered

105 candidates to 81 candidates (77.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize10.0ms

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))))
0.6b	(/ 6.0 (- x (sqrt 3.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
182×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
26×	`distribute-lft-out`
20×	`sqrt-prod` `distribute-lft-out--`
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` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 209

Calls

4 calls:

4.0ms	(- x (sqrt 3.0))
3.0ms	(+ x (sqrt 3.0))
12.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
6.0ms	(/ 6.0 (- x (sqrt 3.0)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- x (sqrt 3.0))
35.0ms	(+ x (sqrt 3.0))
161.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
69.0ms	(/ 6.0 (- x (sqrt 3.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	579	2326
1	2898	2165
2	5002	2148

prune291.0ms

Filtered

221 candidates to 134 candidates (60.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	221	5	226

Merged error: 0b

Counts

226 → 5

regimes59.0ms

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	6	3

end0.0ms

sample346.0ms

Algorithm

intervals

Results

227.0ms

10731×

body

valid