Details

analyze4.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 33.333349%

Guaranteed chance to sample good point: 99.990849%

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify190.0ms

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

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))

series16.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify150.0ms

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

prune75.0ms

Filtered

39 candidates to 64 candidates (-64.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (neg (* 0.12900613773279798 (pow x 3))))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 46

Calls

2 calls:

4.0ms	(+ (* x 0.954929658551372) (neg (* 0.12900613773279798 (pow x 3))))
6.0ms	(* 0.12900613773279798 (pow x 3))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x 0.954929658551372) (neg (* 0.12900613773279798 (pow x 3))))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify39.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	216	238
1	1062	207
2	5002	207

prune68.0ms

Filtered

31 candidates to 52 candidates (-67.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	52	6	58

Merged error: 0b

Counts

58 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
0.3b	(* (sqrt 0.12900613773279798) x)
0.3b	(* (sqrt 0.12900613773279798) x)
0.4b	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
23×	`add-sqr-sqrt`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
5×	`unswap-sqr`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `associate-*r/`
1×	`pow2` `flip3--` `swap-sqr` `flip--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

5.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
4.0ms	(* (sqrt 0.12900613773279798) x)
5.0ms	(* (sqrt 0.12900613773279798) x)
8.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

series30.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
4.0ms	(* (sqrt 0.12900613773279798) x)
4.0ms	(* (sqrt 0.12900613773279798) x)
7.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	239	525
1	1234	441
2	5002	428

prune130.0ms

Filtered

62 candidates to 115 candidates (-85.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x))))
22.7b	(cbrt (* 0.12900613773279798 (* x x)))
22.7b	(cbrt (* 0.12900613773279798 (* x x)))
22.7b	(cbrt (* 0.12900613773279798 (* x x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x))))
4.0ms	(cbrt (* 0.12900613773279798 (* x x)))
4.0ms	(cbrt (* 0.12900613773279798 (* x x)))
4.0ms	(cbrt (* 0.12900613773279798 (* x x)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x))))
25.0ms	(cbrt (* 0.12900613773279798 (* x x)))
28.0ms	(cbrt (* 0.12900613773279798 (* x x)))
26.0ms	(cbrt (* 0.12900613773279798 (* x x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	169	439
1	546	388
2	2577	311
3	5002	299

prune113.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	70	6	76

Merged error: 0b

Counts

76 → 6

regimes37.0ms

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	16	5
1	18	5
2	18	5

end0.0ms

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 33.333349%

Guaranteed chance to sample good point: 99.990849%

sample321.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify190.0ms

prune6.0ms

localize5.0ms

rewrite14.0ms

series16.0ms

simplify150.0ms

prune75.0ms

localize7.0ms

rewrite11.0ms

series13.0ms

simplify39.0ms

prune68.0ms

localize6.0ms

rewrite25.0ms

series30.0ms

simplify43.0ms

prune130.0ms

localize9.0ms

rewrite19.0ms

series108.0ms

simplify79.0ms

prune113.0ms

regimes37.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample321.0ms

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