Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify75.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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))))

rewrite19.0ms

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))
8.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series130.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* x 3.0) 4.0)
61.0ms	(* x (- (* x 3.0) 4.0))
31.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (39.0ms)

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

prune123.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

6.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms	(* 9.0 (pow x 2))

series51.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify157.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	193	233
1	766	207
2	4099	201
3	5003	200

prune91.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* (* x 9.0) (pow x (/ 2 2))) 3.0) (* 12.0 x))
0.1b	(* (* x 9.0) (pow x (/ 2 2)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
9×	`prod-exp`
7×	`associate-r` `add-cbrt-cube` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `cbrt-unprod`
2×	`pow1` `pow-to-exp` `diff-log` `pow-exp`
1×	`sub-neg` `flip3--` `associate-l` `associate--l+` `sum-log` `*-commutative` `flip--` `sqr-pow`

Counts

2 → 38

Calls

2 calls:

8.0ms	(- (+ (* (* x 9.0) (pow x (/ 2 2))) 3.0) (* 12.0 x))
6.0ms	(* (* x 9.0) (pow x (/ 2 2)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (+ (* (* x 9.0) (pow x (/ 2 2))) 3.0) (* 12.0 x))
25.0ms	(* (* x 9.0) (pow x (/ 2 2)))

simplify42.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	243	255
1	1023	223
2	5001	210

prune83.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

12.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
6.0ms	(* (cbrt 9.0) (pow x 2))
10.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
45.0ms	(* (cbrt 9.0) (pow x 2))
91.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	294	646
1	1211	515
2	5001	469

prune145.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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	18	6
1	23	6
2	23	6

end0.0ms

sample386.0ms

Algorithm

intervals

Results

273.0ms

10696×

body

valid