Details

sample131.0ms

Algorithm

intervals

Results

63.0ms	55×	body	1280	valid
22.0ms	32×	body	640	valid
21.0ms	141×	body	80	valid
11.0ms	23×	body	320	valid
2.0ms	5×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	21
1	13
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (sin y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 59

Calls

3 calls:

11.0ms	(- (* x (cos y)) (* z (sin y)))
8.0ms	(* x (cos y))
23.0ms	(* z (sin y))

series216.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- (* x (cos y)) (* z (sin y)))
53.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify1.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	2000
3	1654
2	470
1	203
0	94

prune420.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series609.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
140.0ms	(cbrt (cos y))
128.0ms	(cbrt (cos y))
131.0ms	(cbrt (cos y))

simplify851.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2024
3	1176
2	391
1	152
0	70

prune541.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 99

Calls

4 calls:

18.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
63.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
10.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series360.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
56.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
21.0ms	(* (cos y) (cos y))
141.0ms	(cbrt (cos y))

simplify680.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2001
2	964
1	346
0	139

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
0.2b	(* (cos y) (cos y))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
19×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r`
13×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`swap-sqr`
5×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sqr-cos` `pow-plus` `pow-sqr` `cos-mult` `pow-prod-up` `unswap-sqr`
1×	`unpow-prod-down` `pow1/3` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

61.0ms	(* (* x (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
19.0ms	(* (cos y) (cos y))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series372.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (* x (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
22.0ms	(* (cos y) (cos y))
29.0ms	(* (cos y) (cos y))
179.0ms	(cbrt (cos y))

simplify800.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
2	952
1	291
0	118

prune683.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes282.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.7s	1558×	body	1280	valid
1.4s	1184×	body	640	valid
819.0ms	4316×	body	80	valid
425.0ms	646×	body	320	valid
99.0ms	296×	body	160	valid