Details

sample87.0ms

Algorithm

intervals

Results

23.0ms	31×	body	1280	valid
19.0ms	181×	body	80	valid
15.0ms	31×	body	640	valid
8.0ms	10×	body	320	valid
1.0ms	3×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune26.0ms

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

rewrite12.0ms

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:

11.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (sin y))
96.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.4s

Counts

33 → 33

Iterations

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

prune320.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)

series129.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (fma z (cos y) x) (sin y))
74.0ms	(fma z (cos y) x)

simplify2.0s

Counts

34 → 34

Iterations

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

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

1.0ms	(cbrt (fma z (cos y) x))
1.0ms	(cbrt (fma z (cos y) x))
1.0ms	(cbrt (fma z (cos y) x))
26.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))

series934.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (fma z (cos y) x))
207.0ms	(cbrt (fma z (cos y) x))
223.0ms	(cbrt (fma z (cos y) x))
246.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	959
1	248
0	106

prune597.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (fma z (cos y) x))
255.0ms	(cbrt (fma z (cos y) x))
264.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))
251.0ms	(* (cbrt (fma z (cos y) x)) (cbrt (fma z (cos y) x)))

simplify1.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	959
1	248
0	106

prune921.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

796.0ms	994×	body	1280	valid
687.0ms	843×	body	640	valid
618.0ms	5559×	body	80	valid
148.0ms	389×	body	320	valid
41.0ms	215×	body	160	valid