Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

391×

body

valid

simplify207.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

12.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify144.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (7.0ms)

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

prune40.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

7.0ms	(* 2.0 (pow x 3))
8.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
10.0ms	(* (* x x) 3.0)

series155.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* 2.0 (pow x 3))
93.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms	(* (* x x) 3.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	292	325
1	1517	282
2	5001	277

prune116.0ms

Filtered

74 candidates to 45 candidates (60.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

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))))

rewrite22.0ms

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:

7.0ms	(* x (- 3.0 (* x 2.0)))
13.0ms	(* x (* x (- 3.0 (* x 2.0))))

series138.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* x (- 3.0 (* x 2.0)))
72.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (8.0ms)

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

prune71.0ms

Filtered

58 candidates to 30 candidates (51.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
39×	`add-exp-log`
27×	`pow-prod-down`
24×	`prod-exp`
23×	`add-cbrt-cube`
22×	`cbrt-unprod`
19×	`associate-r`
17×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`unpow-prod-down` `pow-plus` `cube-prod` `pow-prod-up`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sum-log` `pow-sqr` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

4 → 105

Calls

4 calls:

7.0ms	(* 2.0 (pow x 3))
59.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
16.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
61.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series364.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 2.0 (pow x 3))
160.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
73.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
89.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	410	756
1	2302	558
2	5002	518

prune198.0ms

Filtered

117 candidates to 62 candidates (53.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b 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	27	16
1	29	16
2	29	16

end0.0ms

sample332.0ms

Algorithm

intervals

Results

213.0ms

11897×

body

valid