Details

sample77.0ms

Algorithm

intervals

Results

23.0ms	33×	body	1280	valid
17.0ms	176×	body	80	valid
12.0ms	27×	body	640	valid
4.0ms	12×	body	320	valid
2.0ms	8×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	21
1	13
0	8

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 2 expressions with local error:

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

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` `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)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (sin y))
71.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.5s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
3	808
2	233
1	101
0	46

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:

7.0ms	(+ (fma z (cos y) x) (sin y))
0.0ms	(fma z (cos y) x)

series102.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (fma z (cos y) x) (sin y))
55.0ms	(fma z (cos y) x)

simplify1.9s

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
3	2765
2	382
1	100
0	45

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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))

series1.0s

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))
218.0ms	(cbrt (fma z (cos y) x))
268.0ms	(cbrt (fma z (cos y) x))
276.0ms	(cbrt (fma z (cos y) x))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	904
1	248
0	106

prune675.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(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))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(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))

series871.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (fma z (cos y) x))
206.0ms	(cbrt (fma z (cos y) x))
248.0ms	(cbrt (fma z (cos y) x))
184.0ms	(cbrt (fma z (cos y) x))

simplify2.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	4916
3	1000
2	277
1	107
0	52

prune566.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes194.0ms

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

sample2.8s

Algorithm

intervals

Results

734.0ms	1012×	body	1280	valid
688.0ms	5579×	body	80	valid
555.0ms	818×	body	640	valid
481.0ms	401×	body	320	valid
38.0ms	190×	body	160	valid