Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	47×	body	1280	valid
9.0ms	35×	body	640	valid
7.0ms	141×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos 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 (sin y) (* z (cos y)))
3.0ms	(* z (cos y))

series123.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(fma x (sin y) (* z (cos y)))
45.0ms	(* z (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	85	150
1	280	130
2	715	130
3	1541	130
4	5001	130

prune107.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

9.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
0.0ms	(cbrt (fma x (sin y) (* z (cos y))))
0.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))

series868.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
210.0ms	(cbrt (fma x (sin y) (* z (cos y))))
210.0ms	(cbrt (fma x (sin y) (* z (cos y))))
215.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify173.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	216	972
1	851	889
2	4601	816
3	5001	816

prune314.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (sin y) (* z (cos y))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos 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 (sin y) (* z (cos y))))
1.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

series854.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (fma x (sin y) (* z (cos y))))
210.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
214.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
221.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	162	724
1	456	673
2	1930	658
3	5001	650

prune336.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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 → 46

Calls

4 calls:

0.0ms	(cbrt (fma x (sin y) (* z (cos y))))
6.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
3.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
3.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))

series914.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (fma x (sin y) (* z (cos y))))
240.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
233.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
235.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	178	736
1	531	649
2	2255	637
3	5001	614

prune427.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes145.0ms

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

628.0ms	1470×	body	1280	valid
346.0ms	1345×	body	640	valid
230.0ms	4226×	body	80	valid
106.0ms	615×	body	320	valid
45.0ms	344×	body	160	valid