Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

355×

body

valid

simplify234.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (40.0ms)

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

prune63.0ms

Filtered

36 candidates to 20 candidates (55.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

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)

rewrite271.0ms

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))))
7.0ms	(* 2.0 (pow x 3))
7.0ms	(* (* x x) 3.0)

series177.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
39.0ms	(* 2.0 (pow x 3))
29.0ms	(* (* x x) 3.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (72.0ms)

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

prune157.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	80	6	86

Merged error: 0.0b

Counts

86 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite17.0ms

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)))
9.0ms	(* x (* x (- 3.0 (* x 2.0))))

series156.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* x (- 3.0 (* x 2.0)))
80.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (43.0ms)

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

prune83.0ms

Filtered

80 candidates to 38 candidates (47.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
0.3b	(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.4b	(* x (sqrt 3.0))
0.4b	(* x (sqrt 3.0))

rewrite32.0ms

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:

10.0ms	(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
9.0ms	(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
5.0ms	(* x (sqrt 3.0))
5.0ms	(* x (sqrt 3.0))

series328.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
82.0ms	(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
39.0ms	(* x (sqrt 3.0))
45.0ms	(* x (sqrt 3.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	249	535
1	1300	430
2	5001	410

prune179.0ms

Filtered

114 candidates to 63 candidates (55.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	114	4	118

Merged error: 0b

Counts

118 → 4

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	6
1	19	6
2	19	6

end0.0ms

sample361.0ms

Algorithm

intervals

Results

237.0ms

11972×

body

valid