Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	38	3
3	45	3
4	51	3
5	57	3
6	59	3
7	59	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

3.0ms

(- x (* (/ 3.0 8.0) y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- x (* (/ 3.0 8.0) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	107	129
1	372	112
2	1541	111
3	5002	94

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `prod-diff` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

3.0ms	(- x (* (/ 3.0 8.0) y))
3.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
19.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- x (* (/ 3.0 8.0) y))
77.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
79.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
29.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	256	852
1	948	767
2	5002	739

prune217.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.3b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))))
0.3b	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
91×	`sqrt-pow1` `sqrt-prod`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
39×	`pow-prod-up`
35×	`flip3--` `flip--`
32×	`frac-times`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
16×	`associate-*r/`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r` `associate-*l/`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 205

Calls

4 calls:

3.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
4.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
52.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))))
23.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

series648.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
268.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
31.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))))
83.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	549	2236
1	1948	1945
2	5003	1912

prune381.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))))
0.2b	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.2b	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y)))))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

118×	`sqrt-div`
40×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
28×	`cbrt-div`
21×	`sqrt-prod`
18×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`associate-*l/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 125

Calls

4 calls:

31.0ms	(* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))))
2.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
84.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y)))))))

series979.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))))
286.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
263.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
228.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y)))))))

simplify91.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	742	3368
1	2761	3109
2	5002	3069

prune588.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample399.0ms

Algorithm

intervals

Results

179.0ms	7366×	body	80	valid
25.0ms	227×	body	1280	valid
17.0ms	156×	body	640	valid
13.0ms	101×	body	2560	valid
6.0ms	97×	body	320	valid
2.0ms	53×	body	160	valid