Details

sample57.0ms

Algorithm

intervals

Results

23.0ms	56×	body	1280	valid
10.0ms	37×	body	640	valid
8.0ms	129×	body	80	valid
4.0ms	20×	body	320	valid
2.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (cos y) (* z (sin y)))
4.0ms	(* z (sin y))

series110.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma x (cos y) (* z (sin y)))
44.0ms	(* z (sin y))

simplify50.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	149
1	279	130
2	726	130
3	1552	130
4	5002	130

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))

rewrite12.0ms

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:

8.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.0ms	(cbrt (fma x (cos y) (* z (sin y))))
0.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))

series857.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
208.0ms	(cbrt (fma x (cos y) (* z (sin y))))
208.0ms	(cbrt (fma x (cos y) (* z (sin y))))
208.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify122.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	274	1020
1	870	937
2	4031	843
3	5001	824

prune305.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
0.6b	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 53

Calls

4 calls:

0.0ms	(cbrt (fma x (cos y) (* z (sin y))))
0.0ms	(cbrt (fma x (cos y) (* z (sin y))))
3.0ms	(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
1.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

series868.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (fma x (cos y) (* z (sin y))))
208.0ms	(cbrt (fma x (cos y) (* z (sin y))))
236.0ms	(cbrt (* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y))))))
216.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	334	717
1	844	652
2	2647	627
3	5002	586

prune511.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
0.6b	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
0.6b	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

0.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

series817.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (fma x (cos y) (* z (sin y))))
204.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
208.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))
203.0ms	(cbrt (cbrt (fma x (cos y) (* z (sin y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	232	772
1	555	718
2	1622	694
3	5001	662

prune306.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.1b 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	4
1	8	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

663.0ms	1550×	body	1280	valid
311.0ms	1204×	body	640	valid
258.0ms	4328×	body	80	valid
122.0ms	625×	body	320	valid
42.0ms	293×	body	160	valid