Details

sample89.0ms

Algorithm

intervals

Results

28.0ms	35×	body	1280	valid
21.0ms	184×	body	80	valid
11.0ms	19×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	7×	body	160	valid
1.0ms	1×	body	2560	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	21
1	13
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (sin y))
55.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.9s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
4	1653
3	494
2	208
1	101
0	46

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

6.0ms	(+ (fma z (cos y) x) (sin y))
0.0ms	(fma z (cos y) x)

series126.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (fma z (cos y) x) (sin y))
64.0ms	(fma z (cos y) x)

simplify1.9s

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
3	1399
2	328
1	100
0	45

prune263.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:

9.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))
1.0ms	(cbrt (fma z (cos y) x))
1.0ms	(cbrt (fma z (cos y) x))
1.0ms	(cbrt (fma z (cos y) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))
277.0ms	(cbrt (fma z (cos y) x))
298.0ms	(cbrt (fma z (cos y) x))
233.0ms	(cbrt (fma z (cos y) x))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	1994
2	661
1	246
0	106

prune607.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma z (cos y) x))
0.1b	(fma z (cos y) x)
0.1b	(fma z (cos y) x)
0.2b	(fma (sqrt (fma z (cos y) x)) (sqrt (fma z (cos y) x)) (sin y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `fma-udef`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 45

Calls

4 calls:

1.0ms	(sqrt (fma z (cos y) x))
1.0ms	(fma z (cos y) x)
1.0ms	(fma z (cos y) x)
1.0ms	(fma (sqrt (fma z (cos y) x)) (sqrt (fma z (cos y) x)) (sin y))

series520.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (fma z (cos y) x))
71.0ms	(fma z (cos y) x)
92.0ms	(fma z (cos y) x)
253.0ms	(fma (sqrt (fma z (cos y) x)) (sqrt (fma z (cos y) x)) (sin y))

simplify3.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
4	4651
3	1293
2	402
1	170
0	78

prune361.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	5543×	body	80	valid
855.0ms	1008×	body	1280	valid
445.0ms	807×	body	640	valid
270.0ms	447×	body	320	valid
43.0ms	194×	body	160	valid
1.0ms	1×	body	2560	valid