Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

10.0ms

(+ x (/ 1.0 3.0))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ x (/ 1.0 3.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	82	61
1	218	55
2	532	55
3	1514	55
4	5001	55

prune58.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x))
0.0b	(+ (pow x 3) (pow (/ 1.0 3.0) 3))
1.0b	(pow (/ 1.0 3.0) 3)
21.3b	(/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
45×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
25×	`distribute-lft-out`
12×	`fma-def`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`add-log-exp`
5×	`pow1` `sum-cubes`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*` `div-inv`
2×	`cbrt-undiv` `cube-mult` `flip3-+` `unpow3` `div-exp` `pow-exp` `flip-+` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `cube-div` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `fma-udef`

Counts

4 → 144

Calls

4 calls:

1.0ms	(fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x))
23.0ms	(+ (pow x 3) (pow (/ 1.0 3.0) 3))
6.0ms	(pow (/ 1.0 3.0) 3)
45.0ms	(/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)))

series244.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x))
71.0ms	(+ (pow x 3) (pow (/ 1.0 3.0) 3))
0.0ms	(pow (/ 1.0 3.0) 3)
150.0ms	(/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	474	1342
1	2221	1220
2	5003	1210

prune293.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x))
0.0b	(+ (pow x 3) (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0)))
0.0b	(- (/ 1.0 3.0) x)
21.3b	(/ (+ (pow x 3) (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0))) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
57×	`add-cube-cbrt`
49×	`times-frac`
39×	`prod-diff`
13×	`fma-neg`
12×	`fma-def`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`unpow-prod-down` `cube-prod` `associate-/r*`
2×	`flip3-+` `flip-+` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `sub-neg` `flip3--` `frac-2neg` `diff-log` `unpow3` `div-exp` `clear-num` `sum-log` `flip--` `fma-udef` `distribute-lft-out--` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

1.0ms	(fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x))
16.0ms	(+ (pow x 3) (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0)))
9.0ms	(- (/ 1.0 3.0) x)
22.0ms	(/ (+ (pow x 3) (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0))) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x))
62.0ms	(+ (pow x 3) (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0)))
18.0ms	(- (/ 1.0 3.0) x)
154.0ms	(/ (+ (pow x 3) (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0))) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	436	1650
1	1572	1282
2	5002	1211

prune359.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample193.0ms

Algorithm

intervals

Results

104.0ms

8000×

body

valid