Details

sample84.0ms

Algorithm

intervals

Results

25.0ms	30×	body	1280	valid
22.0ms	181×	body	80	valid
17.0ms	26×	body	640	valid
6.0ms	15×	body	320	valid
1.0ms	4×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

46.0ms	(+ (+ x (sin y)) (* z (cos y)))
14.0ms	(* z (cos y))

series129.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (+ x (sin y)) (* z (cos y)))
64.0ms	(* z (cos y))

simplify1.9s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	2350
2	551
1	162
0	65

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

31.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
6.0ms	(cbrt (* z (cos y)))
6.0ms	(cbrt (* z (cos y)))
6.0ms	(cbrt (* z (cos y)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
166.0ms	(cbrt (* z (cos y)))
150.0ms	(cbrt (* z (cos y)))
186.0ms	(cbrt (* z (cos y)))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1526
2	546
1	201
0	83

prune393.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (cos y))) (cbrt z))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`cbrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `associate-r` `add-exp-log`
5×	`pow1/3`
4×	`add-cbrt-cube` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `unswap-sqr`
1×	`prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 57

Calls

4 calls:

14.0ms	(* (cbrt (* z (cos y))) (cbrt z))
4.0ms	(cbrt (* z (cos y)))
7.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)

series707.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (* z (cos y))) (cbrt z))
144.0ms	(cbrt (* z (cos y)))
131.0ms	(cbrt (* z (cos y)))
227.0ms	(cbrt z)

simplify1.5s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	1864
2	560
1	200
0	94

prune476.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (* z (cos y)))
156.0ms	(cbrt (* z (cos y)))
154.0ms	(cbrt (* z (cos y)))
138.0ms	(cbrt (* z (cos y)))

simplify1.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	1929
3	518
2	157
1	71
0	38

prune330.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes254.0ms

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	11
1	11
0	8

end0.0ms

sample3.2s

Algorithm

intervals

Results

976.0ms	951×	body	1280	valid
835.0ms	5580×	body	80	valid
622.0ms	859×	body	640	valid
513.0ms	406×	body	320	valid
56.0ms	203×	body	160	valid
2.0ms	1×	body	2560	valid