Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

330×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (11.0ms)

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: 0.2b

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))))

rewrite16.0ms

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))))

series136.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* 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))))

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (35.0ms)

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

prune117.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

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:

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

simplify151.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (147.0ms)

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

prune89.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

7.0ms

(* x (- (* x 9.0) 12.0))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* x (- (* x 9.0) 12.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	130
1	497	113
2	2567	113
3	5002	113

prune47.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.1b	(* x (- (* x 3.0) 4.0))
0.2b	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

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

series223.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x 3.0) 4.0)
62.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
63.0ms	(* x (- (* x 3.0) 4.0))
56.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	418	846
1	1962	682
2	5003	616

prune176.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes21.0ms

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

sample403.0ms

Algorithm

intervals

Results

277.0ms

10713×

body

valid