Details

sample16.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	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

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:

2.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- 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

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (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)))

rewrite24.0ms

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)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
258.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
261.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
261.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (63.0ms)

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

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
1.0b	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

series1.1s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
268.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
271.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
273.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

simplify92.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	361	839
1	1032	794
2	3943	785
3	5001	778

prune317.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
1.0b	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

series1.1s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
263.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
263.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

simplify149.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	316	895
1	924	855
2	3506	846
3	5002	820

prune335.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes174.0ms

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

sample405.0ms

Algorithm

intervals

Results

205.0ms	7360×	body	80	valid
27.0ms	226×	body	1280	valid
21.0ms	171×	body	640	valid
14.0ms	97×	body	2560	valid
7.0ms	93×	body	320	valid
3.0ms	53×	body	160	valid