Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify10.0ms

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

localize7.0ms

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:

0.0ms

(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))

simplify63.0ms

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

4 alts after pruning (3 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)))

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
117.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
132.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
145.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

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

prune265.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))
0.9b	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(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)))
3.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series553.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
116.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
120.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
197.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	395	889
1	1410	835
2	5001	742

prune298.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(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)))

rewrite3.0ms

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)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
122.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
132.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
124.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (53.0ms)

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

prune248.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample261.0ms

Algorithm

intervals

Results

167.0ms	8006×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid