Details

sample21.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 99.993896%

Results

7.0ms	256×	body	80	valid
4.0ms	142×	body	80	invalid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	4
8	5001	4

prune6.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
8.0ms	(* 0.12900613773279798 (* (* x x) x))
5.0ms	(* (* x x) x)

series19.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
4.0ms	(* 0.12900613773279798 (* (* x x) x))
4.0ms	(* (* x x) x)

simplify155.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4603	210
3	5001	206

prune63.0ms

Filtered

36 candidates to 70 candidates (-94.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 43

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	182	213
1	777	194
2	5001	193

prune60.0ms

Filtered

30 candidates to 49 candidates (-63.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	49	5	54

Merged error: 0b

Counts

54 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 55

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms	(* 0.12900613773279798 (* x x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
10.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
3.0ms	(* 0.12900613773279798 (* x x))

simplify147.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	208	309
1	918	272
2	4620	271
3	5002	271

prune60.0ms

Filtered

39 candidates to 64 candidates (-64.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* (* x (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
0.2b	(* 0.12900613773279798 (* x x))
0.2b	(* 0.12900613773279798 (* x x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`sqrt-div`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-r`
7×	`flip3--` `associate-l` `flip--`
6×	`add-log-exp`
4×	`frac-times`
3×	`sqrt-prod` `*-commutative`
2×	`associate-*l/` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

4 → 79

Calls

4 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
9.0ms	(* (* x (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
5.0ms	(* 0.12900613773279798 (* x x))
5.0ms	(* 0.12900613773279798 (* x x))

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
8.0ms	(* (* x (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
3.0ms	(* 0.12900613773279798 (* x x))
3.0ms	(* 0.12900613773279798 (* x x))

simplify38.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	289	617
1	1124	515
2	5001	513

prune96.0ms

Filtered

51 candidates to 91 candidates (-78.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	91	5	96

Merged error: 0b

Counts

96 → 5

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample511.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 99.993896%

Results

214.0ms	8000×	body	80	valid
114.0ms	4059×	body	80	invalid

Details

sample21.0ms

simplify187.0ms

prune6.0ms

localize6.0ms

rewrite18.0ms

series19.0ms

simplify155.0ms

prune63.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify32.0ms

prune60.0ms

localize5.0ms

rewrite14.0ms

series18.0ms

simplify147.0ms

prune60.0ms

localize7.0ms

rewrite25.0ms

series21.0ms

simplify38.0ms

prune96.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample511.0ms

Profiling