Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize4.0ms

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:

3.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (37.0ms)

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)))
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))) (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×	`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:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
262.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
235.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	244	1068
1	774	1003
2	2881	944
3	5001	915

prune288.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-div`
29×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`flip3--` `flip--`
11×	`pow1`
9×	`pow1/3`
8×	`frac-times`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
15.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
6.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
247.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
247.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
266.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	359	1368
1	1021	1300
2	3488	1225
3	5002	1205

prune394.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-div`
28×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`flip3--` `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 → 73

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
267.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
263.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
462.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	230	988
1	540	934
2	1620	925
3	5001	899

prune401.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

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

sample295.0ms

Algorithm

intervals

Results

134.0ms	7392×	body	80	valid
17.0ms	215×	body	1280	valid
13.0ms	153×	body	640	valid
9.0ms	94×	body	2560	valid
4.0ms	97×	body	320	valid
2.0ms	49×	body	160	valid