Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

388×

body

valid

simplify204.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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)

rewrite19.0ms

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))
6.0ms	(* (* x x) x)

series171.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
40.0ms	(* 0.12900613773279798 (* (* x x) x))
33.0ms	(* (* x x) x)

simplify156.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (151.0ms)

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

prune80.0ms

Filtered

70 candidates to 36 candidates (51.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	1	1
Picked	1	0	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))

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`
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))

series142.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
42.0ms	(* 0.12900613773279798 (pow x 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (30.0ms)

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

prune73.0ms

Filtered

49 candidates to 30 candidates (61.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
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))

rewrite15.0ms

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))))
6.0ms	(* 0.12900613773279798 (* x x))

series191.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
101.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
30.0ms	(* 0.12900613773279798 (* x x))

simplify151.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	208	309
1	918	272
2	4620	271
3	5001	271

prune74.0ms

Filtered

64 candidates to 39 candidates (60.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
5.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
7.0ms	(* (sqrt 0.12900613773279798) (* x x))
10.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
171.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
49.0ms	(* (sqrt 0.12900613773279798) (* x x))
75.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	277	636
1	1278	496
2	5001	478

prune122.0ms

Filtered

95 candidates to 58 candidates (61.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0b

Counts

99 → 4

regimes14.0ms

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	10	4
1	10	4

end0.0ms

sample473.0ms

Algorithm

intervals

Results

340.0ms

12024×

body

valid

Details

sample19.0ms

simplify204.0ms

prune7.0ms

localize6.0ms

rewrite19.0ms

series171.0ms

simplify156.0ms

prune80.0ms

localize6.0ms

rewrite11.0ms

series142.0ms

simplify35.0ms

prune73.0ms

localize5.0ms

rewrite15.0ms

series191.0ms

simplify151.0ms

prune74.0ms

localize7.0ms

rewrite27.0ms

series403.0ms

simplify46.0ms

prune122.0ms

regimes14.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample473.0ms

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