Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

391×

body

valid

simplify193.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	81	4
3	127	4
4	133	4
5	149	4
6	205	4
7	396	4
8	1328	4
9	4662	4
10	5001	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

7.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify140.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	171	170
1	807	140
2	4462	140
3	5001	140

prune43.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.0b	(* 2.0 (pow x 3))
0.2b	(* (* x x) 3.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 65

Calls

3 calls:

6.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
6.0ms	(* 2.0 (pow x 3))
5.0ms	(* (* x x) 3.0)

series152.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
37.0ms	(* 2.0 (pow x 3))
24.0ms	(* (* x x) 3.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	292	325
1	1517	282
2	5002	277

prune124.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.1b	(* x (* x (- 3.0 (* x 2.0))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

5.0ms	(* x (- 3.0 (* x 2.0)))
6.0ms	(* x (* x (- 3.0 (* x 2.0))))

series137.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (- 3.0 (* x 2.0)))
70.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	192	313
1	954	262
2	5002	262

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
0.1b	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.1b	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
0.3b	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`sub-neg` `flip3--` `associate-/r*` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 92

Calls

4 calls:

3.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
6.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
11.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
8.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
90.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
144.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
158.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	405	1074
1	2260	875
2	5001	875

prune192.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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	12	5
1	12	5

end0.0ms

sample371.0ms

Algorithm

intervals

Results

244.0ms

11928×

body

valid