Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

365×

body

valid

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

prune4.0ms

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series118.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify144.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	190	227
1	849	198
2	4408	197
3	5001	197

prune68.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	44	7	51

Merged error: 0b

Counts

51 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

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

series117.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
26.0ms	(* (* 0.12900613773279798 x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	191	223
1	986	195
2	5002	195

prune67.0ms

Filtered

48 candidates to 26 candidates (54.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Merged error: 0b

Counts

55 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

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)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

49.0ms

(* (sqrt 0.12900613773279798) (* x x))

68.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	259	498
1	1200	394
2	5002	377

prune141.0ms

Filtered

80 candidates to 49 candidates (61.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	81	6	87

Merged error: 0b

Counts

87 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.3b	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

5.0ms	(* 0.12900613773279798 (* x x))
13.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
4.0ms	(sqrt (* 0.12900613773279798 (* x x)))
4.0ms	(sqrt (* 0.12900613773279798 (* x x)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 0.12900613773279798 (* x x))
70.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
33.0ms	(sqrt (* 0.12900613773279798 (* x x)))
37.0ms	(sqrt (* 0.12900613773279798 (* x x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	169	362
1	787	296
2	5001	285

prune143.0ms

Filtered

121 candidates to 55 candidates (45.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	121	6	127

Merged error: 0b

Counts

127 → 6

regimes40.0ms

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

sample360.0ms

Algorithm

intervals

Results

244.0ms

11819×

body

valid