Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

370×

body

valid

simplify239.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
72×	`prod-diff`
53×	`*-un-lft-identity`
49×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
37×	`associate-l`
28×	`associate-r`
14×	`unswap-sqr`
9×	`*-commutative`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`swap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 121

Calls

1 calls:

18.0ms

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

series79.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify102.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	696	1672
1	3349	1169
2	5001	1169

prune109.0ms

Filtered

124 candidates to 37 candidates (29.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

48×	`associate-l`
39×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
28×	`fma-def`
15×	`add-cube-cbrt`
14×	`unswap-sqr`
13×	`associate-r`
9×	`distribute-lft-out`
8×	`swap-sqr`
7×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube`
6×	`distribute-rgt-neg-in` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
1×	`+-commutative` `neg-sub0` `distribute-lft-neg-in` `cube-mult` `associate-+r-` `distribute-rgt-out` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

2 → 94

Calls

2 calls:

67.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
9.0ms	(* (* x x) 3.0)

series127.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
27.0ms	(* (* x x) 3.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	250	323
1	1177	298
2	5001	280

prune207.0ms

Filtered

100 candidates to 68 candidates (68.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	101	5	106

Merged error: 0b

Counts

106 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`associate-r`
19×	`associate-l`
16×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`unswap-sqr`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`*-commutative`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

2 → 65

Calls

2 calls:

10.0ms	(* (- 3.0 (* x 2.0)) x)
18.0ms	(* x (* (- 3.0 (* x 2.0)) x))

series150.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (- 3.0 (* x 2.0)) x)
78.0ms	(* x (* (- 3.0 (* x 2.0)) x))

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	240	372
1	1179	334
2	5002	320

prune123.0ms

Filtered

71 candidates to 45 candidates (63.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 0b

Counts

76 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (* (* 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)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-sqr-sqrt`
79×	`unswap-sqr`
46×	`cbrt-prod`
36×	`associate-r`
30×	`pow1`
28×	`swap-sqr`
27×	`add-cbrt-cube`
24×	`associate-l`
23×	`cbrt-unprod`
17×	`*-commutative`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log` `pow-prod-down`
8×	`prod-exp`
4×	`pow-plus` `pow-prod-up`
2×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`fma-udef`

Counts

2 → 131

Calls

2 calls:

1.0ms	(fma (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0) (- (* 2.0 (pow x 3))))
24.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))

series271.0ms

Counts

2 → 6

Calls

2 calls:

194.0ms	(fma (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0) (- (* 2.0 (pow x 3))))
77.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	459	955
1	2379	857
2	5002	815

prune233.0ms

Filtered

137 candidates to 64 candidates (46.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	137	5	142

Merged error: 0b

Counts

142 → 5

regimes20.0ms

Accuracy

0% (0.2b 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

sample361.0ms

Algorithm

intervals

Results

232.0ms

11834×

body

valid