Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

328×

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)))

rewrite26.0ms

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:

5.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
5.0ms	(+ 0.253 (* x 0.12))
15.0ms	(* x (+ 0.253 (* x 0.12)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
32.0ms	(+ 0.253 (* x 0.12))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify36.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

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

prune99.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* 0.253 x))
0.0b	(- (- 1.0 (* 0.253 x)) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

5.0ms	(- 1.0 (* 0.253 x))
33.0ms	(- (- 1.0 (* 0.253 x)) (* x (* x 0.12)))
15.0ms	(* x (* x 0.12))

series89.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- 1.0 (* 0.253 x))
29.0ms	(- (- 1.0 (* 0.253 x)) (* x (* x 0.12)))
25.0ms	(* x (* x 0.12))

simplify95.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	212	265
1	755	241
2	3506	239
3	5001	238

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite40.0ms

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:

19.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
9.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
11.0ms	(* 0.12 (pow x 2))

series125.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
72.0ms	(+ (* 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 (194.0ms)

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

prune116.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.12) (sqrt (pow x 2)))
0.3b	(* (* (sqrt 0.12) (sqrt (pow x 2))) (* (sqrt 0.12) (sqrt (pow x 2))))
18.3b	(sqrt (pow x 2))
18.3b	(sqrt (pow x 2))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
40×	`sqrt-prod`
33×	`add-sqr-sqrt`
26×	`pow-prod-down`
18×	`add-exp-log` `add-cbrt-cube`
16×	`pow1/2`
13×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
12×	`associate-r`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`rem-sqrt-square`
7×	`associate-l` `unpow2` `sqr-pow`
6×	`sqrt-unprod`
5×	`pow-sqr` `pow-prod-up`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow-plus` `*-commutative`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

4 → 121

Calls

4 calls:

18.0ms	(* (sqrt 0.12) (sqrt (pow x 2)))
61.0ms	(* (* (sqrt 0.12) (sqrt (pow x 2))) (* (sqrt 0.12) (sqrt (pow x 2))))
3.0ms	(sqrt (pow x 2))
3.0ms	(sqrt (pow x 2))

series131.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt 0.12) (sqrt (pow x 2)))
73.0ms	(* (* (sqrt 0.12) (sqrt (pow x 2))) (* (sqrt 0.12) (sqrt (pow x 2))))
8.0ms	(sqrt (pow x 2))
9.0ms	(sqrt (pow x 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	215	571
1	948	435
2	5002	429

prune270.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample348.0ms

Algorithm

intervals

Results

200.0ms

10647×

body

valid