Details

sample99.0ms

Algorithm

intervals

Results

36.0ms	46×	body	1280	valid
20.0ms	45×	body	640	valid
16.0ms	144×	body	80	valid
5.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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 (cos y) z (* x (sin y)))
20.0ms	(* x (sin y))

series195.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(fma (cos y) z (* x (sin y)))
69.0ms	(* x (sin y))

simplify2.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4604
3	1246
2	320
1	107
0	56

prune251.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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)))
11.0ms	(* z (cos y))

series155.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(fma x (sin y) (* z (cos y)))
49.0ms	(* z (cos y))

simplify2.9s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	3470
3	1008
2	259
1	90
0	49

prune323.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (* z (cbrt (cos y))))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 62

Calls

4 calls:

31.0ms	(* (cbrt (cos y)) (* z (cbrt (cos y))))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series605.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (* z (cbrt (cos y))))
150.0ms	(cbrt (cos y))
149.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))

simplify2.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	3350
2	584
1	146
0	63

prune537.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt (pow (cos y) 2)) z) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `add-cbrt-cube` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

50.0ms	(* (* (cbrt (pow (cos y) 2)) z) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))

series451.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* (cbrt (pow (cos y) 2)) z) (cbrt (cos y)))
134.0ms	(cbrt (cos y))
21.0ms	(pow (cos y) 2)
232.0ms	(cbrt (pow (cos y) 2))

simplify930.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1452
1	291
0	116

prune557.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.0s	1527×	body	1280	valid
674.0ms	1291×	body	640	valid
468.0ms	4239×	body	80	valid
284.0ms	622×	body	320	valid
71.0ms	321×	body	160	valid