Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

413×

body

valid

simplify201.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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)))

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)))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (37.0ms)

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

prune64.0ms

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

localize6.0ms

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))))

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)))
8.0ms	(* x (* x (- 3.0 (* x 2.0))))

series164.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* x (- 3.0 (* x 2.0)))
82.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (46.0ms)

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

prune94.0ms

Filtered

80 candidates to 38 candidates (47.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0b

Counts

85 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.1b	(* x (* x 3.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

6.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
5.0ms	(* x (* x 3.0))

series133.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
27.0ms	(* x (* x 3.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	193	225
1	931	201
2	5001	191

prune84.0ms

Filtered

44 candidates to 32 candidates (72.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series812.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt x) (cbrt x))
202.0ms	(cbrt x)
195.0ms	(cbrt x)
197.0ms	(cbrt x)

simplify106.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune199.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes40.0ms

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

sample417.0ms

Algorithm

intervals

Results

288.0ms

12112×

body

valid