Details

sample132.0ms

Algorithm

intervals

Results

46.0ms	39×	body	1280	valid
35.0ms	41×	body	640	valid
26.0ms	152×	body	80	valid
10.0ms	18×	body	320	valid
2.0ms	6×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

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))

rewrite30.0ms

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×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 57

Calls

3 calls:

10.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
12.0ms	(* z (sin y))

series200.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (* x (cos y)) (* z (sin y)))
54.0ms	(* x (cos y))
48.0ms	(* z (sin y))

simplify2.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	2160
2	580
1	207
0	89

prune378.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite32.0ms

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:

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series588.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
158.0ms	(cbrt (sin y))
163.0ms	(cbrt (sin y))
125.0ms	(cbrt (sin y))

simplify1.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	1352
2	474
1	182
0	81

prune588.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

36.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
7.0ms	(cbrt (* x (cos y)))
7.0ms	(cbrt (* x (cos y)))
8.0ms	(cbrt (* x (cos y)))

series777.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
220.0ms	(cbrt (* x (cos y)))
193.0ms	(cbrt (* x (cos y)))
183.0ms	(cbrt (* x (cos y)))

simplify1.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5004
3	1710
2	554
1	204
0	87

prune478.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

4×	`cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

4.0ms	(cbrt (* x (cos y)))
6.0ms	(cbrt (* x (cos y)))
7.0ms	(cbrt (* x (cos y)))
9.0ms	(cbrt (* x (cos y)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (* x (cos y)))
197.0ms	(cbrt (* x (cos y)))
180.0ms	(cbrt (* x (cos y)))
159.0ms	(cbrt (* x (cos y)))

simplify1.9s

Counts

60 → 60

Iterations

Iter	Nodes
done	5099
4	2055
3	536
2	160
1	73
0	40

prune357.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes343.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.1s	1393×	body	1280	valid
1.4s	1245×	body	640	valid
907.0ms	4412×	body	80	valid
496.0ms	635×	body	320	valid
116.0ms	315×	body	160	valid