Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	8×	body	640	valid
1.0ms	4×	body	2560	valid
0.0ms	1×	body	320	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	34	3
3	41	3
4	47	3
5	50	3
6	50	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))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

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))

simplify97.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	80	79
1	258	72
2	1053	72
3	3864	72
4	5002	72

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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

rewrite20.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

13.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
1.0ms	(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)))

series1.0s

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
273.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
265.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
260.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	237	1018
1	740	953
2	2721	895
3	5002	874

prune233.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
277.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
272.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
245.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	265	818
1	617	768
2	1725	760
3	5001	742

prune273.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
38×	`cbrt-div`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`flip3--` `flip--`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 74

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
269.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
268.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
241.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify128.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	239	1134
1	525	1074
2	1488	1066
3	4549	1051
4	5001	1051

prune347.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

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

sample399.0ms

Algorithm

intervals

Results

202.0ms	7393×	body	80	valid
31.0ms	216×	body	1280	valid
16.0ms	92×	body	2560	valid
14.0ms	147×	body	640	valid
6.0ms	87×	body	320	valid
3.0ms	65×	body	160	valid