Details

sample56.0ms

Algorithm

intervals

Results

24.0ms	60×	body	1280	valid
9.0ms	36×	body	640	valid
8.0ms	132×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	11×	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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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))

series109.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(fma x (cos y) (* z (sin y)))
38.0ms	(* z (sin y))

simplify51.0ms

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

prune98.0ms

Pruning

7 alts after pruning (7 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))

rewrite4.0ms

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)))
3.0ms	(* z (sin y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma x (cos y) (* z (sin y)))
36.0ms	(* z (sin y))

simplify52.0ms

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

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.3b	(cbrt (* z (sin y)))
9.3b	(cbrt (* z (sin y)))
9.3b	(cbrt (* z (sin y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
120.0ms	(cbrt (* z (sin y)))
118.0ms	(cbrt (* z (sin y)))
121.0ms	(cbrt (* z (sin y)))

simplify106.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3129	396
3	5002	368

prune293.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.6b	(cbrt (sin y))
9.3b	(cbrt (* z (sin y)))
9.3b	(cbrt (* z (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
100.0ms	(cbrt (sin y))
124.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune252.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes97.0ms

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	13	4
1	15	4
2	15	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

653.0ms	1535×	body	1280	valid
328.0ms	1247×	body	640	valid
242.0ms	4307×	body	80	valid
102.0ms	596×	body	320	valid
38.0ms	315×	body	160	valid