Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	241×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid

simplify18.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite7.0ms

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:

7.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (49.0ms)

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

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite46.0ms

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:

33.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
298.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
286.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
292.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (73.0ms)

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

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 63

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
296.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
297.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify132.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	199	630
1	500	592
2	1579	584
3	4949	556
4	5001	556

prune331.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-div`
20×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
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 → 70

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms	(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
296.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
300.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
279.0ms	(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

simplify69.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	294	974
1	662	922
2	1904	913
3	5001	890

prune408.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

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

sample358.0ms

Algorithm

intervals

Results

138.0ms	7362×	body	80	valid
18.0ms	229×	body	1280	valid
11.0ms	173×	body	640	valid
8.0ms	88×	body	2560	valid
5.0ms	100×	body	320	valid
2.0ms	48×	body	160	valid