Details

sample89.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
22.0ms	127×	body	80	valid
16.0ms	47×	body	640	valid
5.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

15.0ms	(+ (* x (cos y)) (* z (sin y)))
8.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series318.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(+ (* x (cos y)) (* z (sin y)))
76.0ms	(* x (cos y))
99.0ms	(* z (sin y))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3228
2	684
1	192
0	80

prune300.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite34.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series578.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
130.0ms	(cbrt (sin y))
125.0ms	(cbrt (sin y))
132.0ms	(cbrt (sin y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	753
1	177
0	75

prune560.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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)

rewrite26.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt z) (cbrt z))
284.0ms	(cbrt z)
283.0ms	(cbrt z)
358.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune585.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))

rewrite28.0ms

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` `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 → 58

Calls

4 calls:

15.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series890.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
189.0ms	(cbrt (* z (sin y)))
211.0ms	(cbrt (* z (sin y)))
203.0ms	(cbrt (* z (sin y)))

simplify900.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	860
1	213
0	87

prune506.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes408.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	1474×	body	1280	valid
1.2s	1304×	body	640	valid
629.0ms	4319×	body	80	valid
213.0ms	606×	body	320	valid
121.0ms	297×	body	160	valid