Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

324×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (15.0ms)

Iter	Nodes	Cost
0	26	6
1	55	6
2	122	6
3	205	6
4	253	5
5	307	5
6	363	5
7	498	5
8	911	5
9	1187	5
10	1188	5
11	1188	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

4.0ms	(- (* x 3.0) 4.0)
6.0ms	(* x (- (* x 3.0) 4.0))
5.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series133.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* x 3.0) 4.0)
62.0ms	(* x (- (* x 3.0) 4.0))
31.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	267	361
1	1213	324
2	5001	323

prune122.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 9.0 (pow x 2)) 3.0)
0.0b	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ (* 9.0 (pow x 2)) 3.0)
6.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms	(* 9.0 (pow x 2))

series102.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (* 9.0 (pow x 2)) 3.0)
23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
29.0ms	(* 9.0 (pow x 2))

simplify192.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	237	299
1	891	276
2	4637	269
3	5001	269

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(- (* x 9.0) 12.0)
6.0ms	(* x (- (* x 9.0) 12.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* x 9.0) 12.0)
64.0ms	(* x (- (* x 9.0) 12.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	137	189
1	560	167
2	2720	166
3	5001	166

prune74.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.1b	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`sqrt-div` `associate-*r/`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`flip3--` `associate-*l/` `flip--`

Counts

4 → 101

Calls

4 calls:

7.0ms	(* x (- (* x 3.0) 4.0))
6.0ms	(* x (- (* x 3.0) 4.0))
6.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
10.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (- (* x 3.0) 4.0))
62.0ms	(* x (- (* x 3.0) 4.0))
113.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
36.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	422	972
1	1834	847
2	5002	836

prune221.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

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	13	5
1	13	5

end0.0ms

sample388.0ms

Algorithm

intervals

Results

273.0ms

10690×

body

valid