Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

384×

body

valid

simplify188.0ms

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 3 expressions with local error:

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

series178.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
100.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify156.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (27.0ms)

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

prune86.0ms

Filtered

64 candidates to 39 candidates (60.9%)

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

rewrite12.0ms

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) (- (* 0.12900613773279798 (pow x 3))))
7.0ms	(* 0.12900613773279798 (pow x 3))

series139.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
37.0ms	(* 0.12900613773279798 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	216	235
1	1062	204
2	5001	204

prune71.0ms

Filtered

52 candidates to 31 candidates (59.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0b

Counts

58 → 6

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)))
0.1b	(* (* 0.12900613773279798 x) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

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)

series182.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
103.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
24.0ms	(* (* 0.12900613773279798 x) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	305
1	1065	270
2	5001	270

prune66.0ms

Filtered

63 candidates to 36 candidates (57.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	63	6	69

Merged error: 0b

Counts

69 → 6

localize7.0ms

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

rewrite29.0ms

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))))
5.0ms	(* (sqrt 0.12900613773279798) x)
5.0ms	(* (sqrt 0.12900613773279798) x)
12.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

series321.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
44.0ms	(* (sqrt 0.12900613773279798) x)
38.0ms	(* (sqrt 0.12900613773279798) x)
74.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (38.0ms)

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

prune122.0ms

Filtered

115 candidates to 61 candidates (53.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

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

Merged error: 0b

Counts

121 → 6

regimes17.0ms

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

sample454.0ms

Algorithm

intervals

Results

330.0ms

11926×

body

valid