Details

sample26.0ms

Algorithm

intervals

Results

18.0ms

335×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

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

localize7.0ms

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))))

rewrite22.0ms

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:

3.0ms	(- (* x 3.0) 4.0)
11.0ms	(* x (- (* x 3.0) 4.0))
7.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series131.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* x 3.0) 4.0)
60.0ms	(* x (- (* x 3.0) 4.0))
34.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (39.0ms)

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

prune111.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))

rewrite35.0ms

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:

3.0ms	(+ (* 9.0 (pow x 2)) 3.0)
25.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms	(* 9.0 (pow x 2))

series98.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* 9.0 (pow x 2)) 3.0)
25.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
26.0ms	(* 9.0 (pow x 2))

simplify188.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (35.0ms)

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

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (- (* x 9.0) 12.0)) 3.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
11.0ms	(* x (- (* x 9.0) 12.0))

series83.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
61.0ms	(* x (- (* x 9.0) 12.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	187	237
1	682	211
2	3637	208
3	5001	208

prune67.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

3.0ms	(- (* 3.0 x) 4.0)
11.0ms	(* x (- (* 3.0 x) 4.0))
10.0ms	(* 3.0 (+ 1.0 (* x (- (* 3.0 x) 4.0))))

series129.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* 3.0 x) 4.0)
61.0ms	(* x (- (* 3.0 x) 4.0))
31.0ms	(* 3.0 (+ 1.0 (* x (- (* 3.0 x) 4.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	264	361
1	1191	324
2	5001	323

prune101.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample713.0ms

Algorithm

intervals

Results

591.0ms

10739×

body

valid