Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

391×

body

valid

simplify206.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (33.0ms)

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

prune61.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)

rewrite23.0ms

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	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
6.0ms	(* 2.0 (pow x 3))
8.0ms	(* (* x x) 3.0)

series175.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
39.0ms	(* 2.0 (pow x 3))
28.0ms	(* (* x x) 3.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (57.0ms)

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

prune173.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

6.0ms	(* x (- 3.0 (* x 2.0)))
7.0ms	(* x (* x (- 3.0 (* x 2.0))))

series154.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* x (- 3.0 (* x 2.0)))
80.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	248	535
1	1174	460
2	5001	440

prune106.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
13×	`pow1`
7×	`associate-r/` `associate-l*`
6×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `times-frac` `div-exp` `prod-diff`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*l/` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-/r` `-commutative` `flip--`
2×	`sub-neg` `flip3-+` `flip-+` `fma-udef` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 118

Calls

4 calls:

9.0ms	(* x (- 3.0 (* x 2.0)))
11.0ms	(* x (/ (* (* x (- 3.0 (* x 2.0))) (fma 2.0 x 3.0)) (+ 3.0 (* x 2.0))))
7.0ms	(* (* x (- 3.0 (* x 2.0))) (fma 2.0 x 3.0))
10.0ms	(/ (* (* x (- 3.0 (* x 2.0))) (fma 2.0 x 3.0)) (+ 3.0 (* x 2.0)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* x (- 3.0 (* x 2.0)))
222.0ms	(* x (/ (* (* x (- 3.0 (* x 2.0))) (fma 2.0 x 3.0)) (+ 3.0 (* x 2.0))))
162.0ms	(* (* x (- 3.0 (* x 2.0))) (fma 2.0 x 3.0))
230.0ms	(/ (* (* x (- 3.0 (* x 2.0))) (fma 2.0 x 3.0)) (+ 3.0 (* x 2.0)))

simplify101.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	491	1165
1	3075	777
2	5001	761

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b 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	10	4
1	10	4

end0.0ms

sample354.0ms

Algorithm

intervals

Results

231.0ms

11928×

body

valid