Details

sample9.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune2.0ms

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))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`prod-diff`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
28×	`times-frac`
3×	`fma-neg` `div-inv` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

1 → 59

Calls

1 calls:

8.0ms

(- x (/ 1.0 3.0))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(- x (/ 1.0 3.0))

simplify158.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (151.0ms)

Iter	Nodes	Cost
0	365	968
1	1117	631
2	4922	511
3	5001	505

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)))
17.6b	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
16×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-log-exp`
6×	`distribute-lft-out` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `sum-log` `div-inv`

Counts

3 → 77

Calls

3 calls:

6.0ms	(+ x (/ 1.0 3.0))
3.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
18.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ x (/ 1.0 3.0))
45.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
86.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	295	744
1	1314	683
2	5001	670

prune159.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ 1.0 3.0)))
0.1b	(/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
0.1b	(/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
0.1b	(* (/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))) (/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
187×	`*-un-lft-identity`
168×	`times-frac`
98×	`sqrt-prod`
81×	`add-cube-cbrt`
48×	`associate-r`
38×	`distribute-lft-out`
34×	`associate-l`
30×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out--`
14×	`associate-/r*`
10×	`pow1` `sqrt-div` `associate-/l*`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `hypot-def` `pow-div`
1×	`frac-times` `rem-sqrt-square` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

4 → 266

Calls

4 calls:

11.0ms	(sqrt (+ x (/ 1.0 3.0)))
34.0ms	(/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
31.0ms	(/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
123.0ms	(* (/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))) (/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ x (/ 1.0 3.0)))
107.0ms	(/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
32.0ms	(/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
30.0ms	(* (/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))) (/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))))

simplify105.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	807	3521
1	3941	2787
2	5002	2703

prune462.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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	5	2

end0.0ms

sample190.0ms

Algorithm

intervals

Results

108.0ms

8000×

body

valid