Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

341×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune2.0ms

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	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

2.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
32.0ms	(+ 0.253 (* x 0.12))
65.0ms	(* x (+ 0.253 (* x 0.12)))

simplify35.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	226	274
1	991	253
2	5002	253

prune100.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))
0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.1b	(* x (* x 0.12))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 46

Calls

3 calls:

6.0ms	(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))
3.0ms	(+ (* x 0.253) (* x (* x 0.12)))
6.0ms	(* x (* x 0.12))

series122.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))
66.0ms	(+ (* x 0.253) (* x (* x 0.12)))
28.0ms	(* x (* x 0.12))

simplify126.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	234	302
1	909	273
2	4015	270
3	5002	269

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
0.0b	(+ (* 0.12 (pow x 2)) (* 0.253 x))
0.2b	(* 0.12 (pow x 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt`
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` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 54

Calls

3 calls:

7.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
3.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
6.0ms	(* 0.12 (pow x 2))

series123.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
66.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
28.0ms	(* 0.12 (pow x 2))

simplify199.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (193.0ms)

Iter	Nodes	Cost
0	247	340
1	922	317
2	4573	311
3	5002	309

prune114.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (+ (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))) (* 0.253 x)))
0.0b	(+ (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))) (* 0.253 x))
0.2b	(* (sqrt 0.12) (pow x 2))
0.2b	(* (sqrt 0.12) (* (sqrt 0.12) (pow x 2)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

26.0ms	(- 1.0 (+ (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))) (* 0.253 x)))
10.0ms	(+ (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))) (* 0.253 x))
7.0ms	(* (sqrt 0.12) (pow x 2))
14.0ms	(* (sqrt 0.12) (* (sqrt 0.12) (pow x 2)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- 1.0 (+ (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))) (* 0.253 x)))
110.0ms	(+ (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))) (* 0.253 x))
48.0ms	(* (sqrt 0.12) (pow x 2))
70.0ms	(* (sqrt 0.12) (* (sqrt 0.12) (pow x 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	315	669
1	1353	550
2	5001	532

prune175.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes35.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample309.0ms

Algorithm

intervals

Results

195.0ms

10665×

body

valid