Details

sample98.0ms

Algorithm

intervals

Results

36.0ms	46×	body	1280	valid
21.0ms	45×	body	640	valid
15.0ms	144×	body	80	valid
4.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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)))
15.0ms	(* x (sin y))

series185.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma (cos y) z (* x (sin y)))
74.0ms	(* x (sin y))

simplify2.7s

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

localize27.0ms

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))

series180.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(fma x (sin y) (* z (cos y)))
55.0ms	(* z (cos y))

simplify3.2s

Counts

36 → 36

Iterations

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

prune262.0ms

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)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos 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` `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:

21.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series710.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
154.0ms	(cbrt (cos y))
164.0ms	(cbrt (cos y))
129.0ms	(cbrt (cos y))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune670.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

42.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
11.0ms	(* (cos y) (cos y))
8.0ms	(cbrt (* (cos y) (cos y)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
31.0ms	(* (cos y) (cos y))
281.0ms	(cbrt (* (cos y) (cos y)))

simplify1.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2021
1	302
0	118

prune623.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes309.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.8s	1527×	body	1280	valid
1.0s	4239×	body	80	valid
990.0ms	1291×	body	640	valid
219.0ms	622×	body	320	valid
78.0ms	321×	body	160	valid