Details

sample71.0ms

Algorithm

intervals

Results

24.0ms	47×	body	1280	valid
16.0ms	39×	body	640	valid
15.0ms	144×	body	80	valid
4.0ms	18×	body	320	valid
1.0ms	8×	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

localize10.0ms

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))

series117.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(fma x (sin y) (* z (cos y)))
36.0ms	(* 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

prune102.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

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

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 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))))

series851.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
207.0ms	(cbrt (fma x (sin y) (* z (cos y))))
213.0ms	(cbrt (fma x (sin y) (* z (cos y))))
204.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify171.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (30.0ms)

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

prune299.0ms

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 (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)))))
0.8b	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`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 → 74

Calls

4 calls:

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)))))
3.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

series890.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
206.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
211.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
268.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

simplify100.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	229	906
1	731	858
2	3307	813
3	5002	787

prune320.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.8b	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)
4.4b	(exp (log (pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
3.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)
8.0ms	(exp (log (pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)))

series1.1s

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
202.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
447.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)
264.0ms	(exp (log (pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)))

simplify154.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	303	1051
1	984	991
2	4574	936
3	5001	936

prune373.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes121.0ms

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

sample2.0s

Algorithm

intervals

Results

736.0ms	1466×	body	1280	valid
441.0ms	4337×	body	80	valid
432.0ms	1266×	body	640	valid
151.0ms	630×	body	320	valid
51.0ms	301×	body	160	valid