Details

sample106.0ms

Algorithm

intervals

Results

41.0ms	185×	body	80	valid
24.0ms	27×	body	1280	valid
18.0ms	25×	body	640	valid
7.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite525.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r`
2×	`+-commutative` `associate-+l+` `insert-posit16`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

510.0ms	(+ (+ x (sin y)) (* z (cos y)))
13.0ms	(* z (cos y))

series174.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(+ (+ x (sin y)) (* z (cos y)))
82.0ms	(* z (cos y))

simplify2.4s

Counts

44 → 44

Iterations

Iter	Nodes
done	5002
3	2403
2	543
1	163
0	66

prune250.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

20.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt z) (cbrt z))
328.0ms	(cbrt z)
272.0ms	(cbrt z)
336.0ms	(cbrt z)

simplify3.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
4	4512
3	1200
2	427
1	151
0	66

prune509.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt z)
276.0ms	(cbrt z)
327.0ms	(cbrt z)
317.0ms	(cbrt z)

simplify2.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
5	1363
4	446
3	184
2	95
1	45
0	25

prune416.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
0.6b	(cbrt (+ (+ x (sin y)) (* z (cos y))))
0.6b	(cbrt (+ (+ x (sin y)) (* z (cos y))))
0.6b	(cbrt (+ (+ x (sin y)) (* z (cos y))))

rewrite458.0ms

Algorithm

rewrite-expression-head

Rules

173×	`*-un-lft-identity`
93×	`cbrt-prod`
90×	`distribute-lft-out`
40×	`associate-l`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 138

Calls

4 calls:

351.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
26.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
34.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
37.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
274.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
257.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
318.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

simplify3.1s

Counts

150 → 150

Iterations

Iter	Nodes
done	5028
3	4391
2	1182
1	403
0	152

prune543.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes304.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.5s	5643×	body	80	valid
1.1s	919×	body	1280	valid
841.0ms	810×	body	640	valid
239.0ms	404×	body	320	valid
74.0ms	224×	body	160	valid