Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize4.0ms

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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify90.0ms

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

prune31.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

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×	`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:

15.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(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:

243.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
266.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
267.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
262.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify69.0ms

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

prune245.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
7×	`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 → 56

Calls

4 calls:

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)))
10.0ms	(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)))
292.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
278.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
241.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify107.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	213	762
1	499	714
2	1467	706
3	4568	691
4	5003	688

prune283.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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 (- 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

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
7×	`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 → 56

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

417.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
286.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
273.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
247.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify115.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (106.0ms)

Iter	Nodes	Cost
0	213	762
1	499	714
2	1467	706
3	4568	691
4	5003	688

prune231.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes150.0ms

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

sample312.0ms

Algorithm

intervals

Results

144.0ms	7379×	body	80	valid
17.0ms	218×	body	1280	valid
10.0ms	159×	body	640	valid
9.0ms	88×	body	2560	valid
5.0ms	101×	body	320	valid
2.0ms	55×	body	160	valid