Details

sample22.0ms

Algorithm

intervals

Results

15.0ms

382×

body

valid

simplify210.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	89	4
3	157	4
4	170	4
5	186	4
6	244	4
7	442	4
8	1389	4
9	4761	4
10	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

13.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	216	252
1	984	214
2	5002	203

prune65.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite25.0ms

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×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 72

Calls

3 calls:

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

series172.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* 2.0 (pow x 3))
102.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
30.0ms	(* (* x x) 3.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	305	350
1	1570	308
2	5001	301

prune184.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))))
0.3b	(* x (* x 3.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`associate-l` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 71

Calls

3 calls:

7.0ms	(* 2.0 (pow x 3))
6.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
6.0ms	(* x (* x 3.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* 2.0 (pow x 3))
101.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
26.0ms	(* x (* x 3.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	292	349
1	1485	309
2	5001	301

prune171.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
0.4b	(* x (sqrt 3.0))
0.4b	(* x (sqrt 3.0))
0.4b	(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod` `add-log-exp`
7×	`associate-l`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus` `sum-log`
1×	`+-commutative` `pow2` `neg-sub0` `associate-+r-` `fma-def` `flip3-+` `swap-sqr` `unsub-neg` `neg-log` `flip-+`

Counts

4 → 102

Calls

4 calls:

18.0ms	(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
4.0ms	(* x (sqrt 3.0))
4.0ms	(* x (sqrt 3.0))
15.0ms	(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
47.0ms	(* x (sqrt 3.0))
44.0ms	(* x (sqrt 3.0))
78.0ms	(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	249	535
1	1300	430
2	5002	410

prune216.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	20	6
2	20	6

end0.0ms

sample594.0ms

Algorithm

intervals

Results

462.0ms

11999×

body

valid