Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

334×

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

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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:

8.0ms	(- (* x 3.0) 4.0)
15.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
28.0ms	(* x (- (* x 3.0) 4.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* x 3.0) 4.0)
29.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
58.0ms	(* x (- (* x 3.0) 4.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	267	361
1	1213	324
2	5002	323

prune109.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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))

rewrite68.0ms

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:

50.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
14.0ms	(* 9.0 (pow x 2))

series43.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
22.0ms	(* 9.0 (pow x 2))

simplify152.0ms

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

prune84.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

17.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
10.0ms	(- (* x 9.0) 12.0)
28.0ms	(* x (- (* x 9.0) 12.0))

series110.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
33.0ms	(- (* x 9.0) 12.0)
57.0ms	(* x (- (* x 9.0) 12.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	206	296
1	748	265
2	3793	261
3	5001	261

prune96.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

177.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
28.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))
18.0ms	(* (sqrt 9.0) (pow x 2))

series158.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
62.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))
47.0ms	(* (sqrt 9.0) (pow x 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	259	502
1	1126	405
2	5002	388

prune140.0ms

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

sample399.0ms

Algorithm

intervals

Results

251.0ms

10633×

body

valid