Details

sample16.0ms

Algorithm

intervals

Results

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

simplify10.0ms

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

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- 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

prune35.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite25.0ms

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))))
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:

238.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
265.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
264.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (60.0ms)

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

prune235.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite12.0ms

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×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(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:

271.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
271.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
264.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

simplify98.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	351	792
1	987	748
2	3683	737
3	5001	719

prune259.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite12.0ms

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×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

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:

272.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
266.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

simplify93.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	308	846
1	883	807
2	3271	796
3	5001	776

prune305.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

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

sample419.0ms

Algorithm

intervals

Results

213.0ms	7360×	body	80	valid
28.0ms	226×	body	1280	valid
17.0ms	97×	body	2560	valid
17.0ms	171×	body	640	valid
10.0ms	93×	body	320	valid
3.0ms	53×	body	160	valid