Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	230×	body	80	valid
4.0ms	10×	body	1280	valid
1.0ms	5×	body	2560	valid
1.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid

simplify13.0ms

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

localize4.0ms

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:

2.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (37.0ms)

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

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

14.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
274.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
273.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
282.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	244	1068
1	767	1003
2	2875	944
3	5002	915

prune270.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
289.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
256.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
285.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	274	872
1	647	822
2	1888	813
3	5001	787

prune317.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-div`
14×	`cbrt-prod` `flip3--` `flip--`
8×	`frac-times`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
6.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
6.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
266.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
259.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
287.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	274	1114
1	647	1052
2	1888	1042
3	5001	1018

prune370.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

sample450.0ms

Algorithm

intervals

Results

235.0ms	7351×	body	80	valid
35.0ms	248×	body	1280	valid
19.0ms	110×	body	2560	valid
17.0ms	148×	body	640	valid
8.0ms	87×	body	320	valid
3.0ms	56×	body	160	valid