Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

392×

body

valid

simplify337.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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	4767	4
10	5001	4

prune7.0ms

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)))

rewrite26.0ms

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:

19.0ms

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

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify134.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	692	1676
1	3308	1169
2	5001	1169

prune92.0ms

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)

rewrite72.0ms

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`
12×	`associate-r`
9×	`distribute-lft-out`
8×	`swap-sqr`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-neg-in` `*-commutative` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

2 → 93

Calls

2 calls:

58.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
8.0ms	(* (* x x) 3.0)

series148.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
33.0ms	(* (* x x) 3.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	237	325
1	1121	296
2	5001	278

prune170.0ms

Filtered

99 candidates to 67 candidates (67.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* x 1) (* x 3.0) (- (* 2.0 (pow x 3))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (* x 1) (* x 3.0) (- (* 2.0 (pow x 3))))

series124.0ms

Counts

1 → 3

Calls

1 calls:

124.0ms

(fma (* x 1) (* x 3.0) (- (* 2.0 (pow x 3))))

simplify63.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	52	101
1	171	87
2	742	83
3	5001	81

prune39.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	13	6	19

Merged error: 0b

Counts

19 → 6

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)))

rewrite38.0ms

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))))
26.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))

series310.0ms

Counts

2 → 6

Calls

2 calls:

214.0ms	(fma (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0) (- (* 2.0 (pow x 3))))
96.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))

simplify122.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	459	975
1	2385	857
2	5002	815

prune201.0ms

Filtered

137 candidates to 64 candidates (46.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	138	5	143

Merged error: 0b

Counts

143 → 5

regimes46.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	26	6
2	26	6

end0.0ms

sample360.0ms

Algorithm

intervals

Results

237.0ms

11975×

body

valid