Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	38×	body	1280	valid
13.0ms	50×	body	640	valid
11.0ms	137×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

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))

rewrite10.0ms

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)))
9.0ms	(* z (cos y))

series122.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(fma x (sin y) (* z (cos y)))
38.0ms	(* z (cos y))

simplify2.1s

Counts

36 → 36

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	50	271
1	85	266
2	167	237
3	324	233
4	757	233
5	3020	233
done	5000	233

prune100.0ms

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 z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite17.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series753.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt z) (cbrt z))
180.0ms	(cbrt z)
182.0ms	(cbrt z)
188.0ms	(cbrt z)

simplify3.3s

Counts

93 → 93

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune264.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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))))

rewrite15.0ms

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:

10.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))

series893.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
216.0ms	(cbrt (fma x (sin y) (* z (cos y))))
217.0ms	(cbrt (fma x (sin y) (* z (cos y))))
219.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	102	1745
1	214	1617
2	577	1481
3	1630	1282
done	5000	1252

prune283.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (sin y) (* z (cos y))))
0.5b	(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))))))
0.8b	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
10×	`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 → 63

Calls

4 calls:

1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
5.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
5.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

series1.2s

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (fma x (sin y) (* z (cos y))))
211.0ms	(cbrt (fma x (sin y) (* z (cos y))))
457.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
282.0ms	(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 4)

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	144	1343
1	318	1269
2	808	1140
3	2273	1117
done	5000	1030

prune285.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

633.0ms	1470×	body	1280	valid
310.0ms	1236×	body	640	valid
249.0ms	4384×	body	80	valid
108.0ms	632×	body	320	valid
34.0ms	278×	body	160	valid