Details

sample49.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
8.0ms	150×	body	80	valid
7.0ms	30×	body	640	valid
4.0ms	22×	body	320	valid
1.0ms	5×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune5.0ms

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 (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))

series105.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(fma x (cos y) (* z (sin y)))
35.0ms	(* z (sin y))

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	49	269
1	85	264
2	170	232
3	297	232
4	662	232
5	2117	232
done	5000	232

prune105.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series412.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))

simplify884.0ms

Counts

93 → 93

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	79	750
1	165	668
2	452	564
3	1414	541
done	5000	536

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))

rewrite5.0ms

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:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
99.0ms	(cbrt (cbrt (sin y)))
99.0ms	(cbrt (cbrt (sin y)))
105.0ms	(cbrt (cbrt (sin y)))

simplify739.0ms

Counts

73 → 73

Iterations

Useful iterations: 4 (177.0ms)

Iter	Nodes	Cost
0	60	547
1	119	531
2	243	489
3	516	477
4	1521	473
done	5000	473

prune295.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite9.0ms

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 (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))))

series819.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
204.0ms	(cbrt (fma x (cos y) (* z (sin y))))
197.0ms	(cbrt (fma x (cos y) (* z (sin y))))
197.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify248.0ms

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	120	1813
1	275	1684
2	742	1530