Details

sample8.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite6.0ms

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:

6.0ms

(+ x (/ 1.0 3.0))

series17.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(+ x (/ 1.0 3.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (3.0ms)

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

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.0b	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
11.3b	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
57×	`times-frac`
50×	`add-cube-cbrt`
40×	`prod-diff`
20×	`difference-of-squares`
7×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `fma-neg` `flip--` `div-inv` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`

Counts

3 → 129

Calls

3 calls:

8.0ms	(- x (/ 1.0 3.0))
3.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
21.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- x (/ 1.0 3.0))
42.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
93.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	617	1824
1	2626	1405
2	5001	1298

prune214.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.1b	(* (fma x x (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))
0.1b	(* (* x x) (* x x))
18.6b	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (fma x x (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-sqr-sqrt`
117×	`pow1` `prod-diff`
115×	`*-un-lft-identity`
111×	`add-cube-cbrt`
87×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
36×	`pow-prod-up`
24×	`pow-prod-down`
23×	`add-exp-log` `add-cbrt-cube`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod` `div-inv`
7×	`associate-r`
6×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `flip3--` `associate-r/` `associate-l` `flip--` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `fma-neg`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`frac-2neg` `diff-log` `div-sub` `swap-sqr` `clear-num` `associate-/r*`

Counts

4 → 261

Calls

4 calls:

8.0ms	(- x (/ 1.0 3.0))
33.0ms	(* (fma x x (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))
12.0ms	(* (* x x) (* x x))
48.0ms	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (fma x x (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- x (/ 1.0 3.0))
37.0ms	(* (fma x x (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))
31.0ms	(* (* x x) (* x x))
208.0ms	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (fma x x (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0))))

simplify146.0ms

Algorithm

egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	853	4681
1	4304	3548
2	5001	3542

prune366.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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

sample187.0ms

Algorithm

intervals

Results

106.0ms

8000×

body

valid