Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	234×	body	80	valid
2.0ms	11×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune1.0ms

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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (44.0ms)

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

prune44.0ms

Pruning

4 alts after pruning (3 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)))

rewrite21.0ms

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)))
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))))
267.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
255.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
260.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (61.0ms)

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

prune279.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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` `expm1-log1p-u` `frac-times` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 64

Calls

4 calls:

1.0ms	(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)))
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:

271.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
277.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
270.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
239.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify111.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	220	814
1	525	766
2	1607	757
3	4898	734
4	5001	734

prune279.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

464×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
50×	`associate-*r/`
44×	`associate-*l/`
10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 136

Calls

4 calls:

1.0ms	(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)))
96.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
266.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
306.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
304.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))))

simplify107.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	754	5353
1	1387	5279
2	2806	5170
3	5002	5144

prune467.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes169.0ms

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

sample534.0ms

Algorithm

intervals

Results

298.0ms	7381×	body	80	valid
43.0ms	235×	body	1280	valid
26.0ms	161×	body	640	valid
21.0ms	81×	body	2560	valid
12.0ms	104×	body	320	valid
3.0ms	38×	body	160	valid