Details

sample15.0ms

Algorithm

intervals

Results

7.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	53
1	54	46
2	161	46
3	607	46
4	2687	46
5	5003	46

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `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 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
121.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
117.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
121.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	375	1093
1	1376	1017
2	5002	880

prune243.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
120.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
122.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
114.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	188	736
1	605	688
2	2286	600
3	5001	576

prune260.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
4.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
125.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
134.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
147.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	334	791
1	1115	732
2	4339	641
3	5001	620

prune245.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes35.0ms

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

end0.0ms

sample245.0ms

Algorithm

intervals

Results

160.0ms	8002×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid