Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

338×

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

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 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (62.0ms)

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

prune67.0ms

Filtered

39 candidates to 32 candidates (82.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0b

Counts

40 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.1b	(/ 6.0 (- (* x x) 3.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
16×	`difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 133

Calls

2 calls:

9.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms	(/ 6.0 (- (* x x) 3.0))

series126.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
55.0ms	(/ 6.0 (- (* x x) 3.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	516	1159
1	2503	1036
2	5001	934

prune148.0ms

Filtered

139 candidates to 79 candidates (56.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	139	5	144

Merged error: 0b

Counts

144 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

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` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(* 0.16666666666666666 (pow x 2))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* 0.16666666666666666 (pow x 2))

simplify73.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	109	108
1	408	93
2	2002	93
3	5001	92

prune39.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 0.16666666666666666) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x 0.16666666666666666) x)

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* x 0.16666666666666666) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune19.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	23	4	27

Merged error: 0b

Counts

27 → 4

regimes52.0ms

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

10637×

body

valid

Details

sample14.0ms

simplify10.0ms

prune1.0ms

localize4.0ms

rewrite7.0ms

series69.0ms

simplify67.0ms

prune67.0ms

localize5.0ms

rewrite20.0ms

series126.0ms

simplify63.0ms

prune148.0ms

localize5.0ms

rewrite6.0ms

series30.0ms

simplify73.0ms

prune39.0ms

localize4.0ms

rewrite5.0ms

series30.0ms

simplify56.0ms

prune19.0ms

regimes52.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample346.0ms

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