Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

390×

body

valid

simplify197.0ms

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))))
0.1b	(* 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))

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
9.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
3.0ms	(* 0.12900613773279798 (* x x))

simplify153.0ms

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

prune68.0ms

Filtered

39 candidates to 64 candidates (-64.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Merged error: 0b

Counts

66 → 3

localize6.0ms

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)

rewrite15.0ms

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)

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
9.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
3.0ms	(* (* 0.12900613773279798 x) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (7.0ms)

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

prune56.0ms

Filtered

36 candidates to 63 candidates (-75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	63	3	66

Merged error: 0b

Counts

66 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (neg (* 0.12900613773279798 (pow x 3))))
0.3b	(* 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) (neg (* 0.12900613773279798 (pow x 3))))
6.0ms	(* 0.12900613773279798 (pow x 3))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x 0.954929658551372) (neg (* 0.12900613773279798 (pow x 3))))
7.0ms	(* 0.12900613773279798 (pow x 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune60.0ms

Filtered

31 candidates to 52 candidates (-67.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
6.0ms	(* 0.12900613773279798 (* x x))
9.0ms	(* (sqrt x) (* (sqrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
7.0ms	(* (sqrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
3.0ms	(* 0.12900613773279798 (* x x))
8.0ms	(* (sqrt x) (* (sqrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))
6.0ms	(* (sqrt x) (- 0.954929658551372 (* 0.12900613773279798 (* x x))))

simplify57.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	413	638
1	1859	554
2	5001	550

prune88.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Merged error: 0b

Counts

105 → 3

regimes28.0ms

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

sample514.0ms

Algorithm

intervals

Results

341.0ms

12108×

body

valid

Details

sample19.0ms

simplify197.0ms

prune6.0ms

localize5.0ms

rewrite15.0ms

series18.0ms

simplify153.0ms

prune68.0ms

localize6.0ms

rewrite15.0ms

series18.0ms

simplify37.0ms

prune56.0ms

localize7.0ms

rewrite12.0ms

series16.0ms

simplify40.0ms

prune60.0ms

localize8.0ms

rewrite26.0ms

series23.0ms

simplify57.0ms

prune88.0ms

regimes28.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample514.0ms

Profiling