Details

sample77.0ms

Algorithm

intervals

Results

27.0ms	52×	body	1280	valid
19.0ms	145×	body	80	valid
11.0ms	32×	body	640	valid
5.0ms	17×	body	320	valid
1.0ms	10×	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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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)))
10.0ms	(* z (cos y))

series190.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma x (sin y) (* z (cos y)))
80.0ms	(* z (cos y))

simplify2.0s

Counts

36 → 36

Iterations

Useful iterations: 3 (224.0ms)

Iter	Nodes	Cost
0	50	271
1	91	266
2	240	235
3	893	233
4	2775	233
done	5000	233

prune142.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(* (cbrt (cos y)) (cbrt (cos y)))

rewrite41.0ms

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:

3.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
30.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (cos y))
182.0ms	(cbrt (cos y))
172.0ms	(cbrt (cos y))
263.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	643	551
done	5001	537

prune788.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

53.0ms	(* z (pow (pow (cos y) 2) 1/3))
91.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series400.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* z (pow (pow (cos y) 2) 1/3))
73.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
36.0ms	(pow (cos y) 2)
138.0ms	(cbrt (cos y))

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	141	1143
1	372	954
2	1861	846
done	5001	824

prune498.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.5b	(log1p (cbrt (cos y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
11×	`prod-exp` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
5×	`expm1-log1p-u` `pow-exp` `cbrt-unprod`
4×	`log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `unpow-prod-down` `pow-unpow` `associate-r`
1×	`log1p-udef` `pow-pow` `unpow1/3` `pow1/3` `log1p-expm1` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

67.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
16.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
1.0ms	(log1p (cbrt (cos y)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
32.0ms	(pow (cos y) 2)
168.0ms	(cbrt (cos y))
243.0ms	(log1p (cbrt (cos y)))

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	123	818
1	311	660
2	1407	570
done	5001	542

prune462.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes126.0ms

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

sample3.5s

Algorithm

intervals

Results

1.2s	1474×	body	1280	valid
1.1s	1280×	body	640	valid
540.0ms	4306×	body	80	valid
232.0ms	625×	body	320	valid
118.0ms	315×	body	160	valid