Details

sample93.0ms

Algorithm

intervals

Results

33.0ms	45×	body	1280	valid
20.0ms	39×	body	640	valid
16.0ms	138×	body	80	valid
8.0ms	21×	body	320	valid
3.0ms	13×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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))

rewrite31.0ms

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`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

13.0ms	(- (* x (cos y)) (* z (sin y)))
8.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series242.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- (* x (cos y)) (* z (sin y)))
55.0ms	(* x (cos y))
70.0ms	(* z (sin y))

simplify2.7s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	1329
2	422
1	182
0	83

prune333.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`neg-sub0` `+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

10.0ms	(+ (* x (cos y)) (- (* z (sin y))))
11.0ms	(* x (cos y))
16.0ms	(* z (sin y))

series239.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (* x (cos y)) (- (* z (sin y))))
61.0ms	(* x (cos y))
60.0ms	(* z (sin y))

simplify2.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	2411
2	659
1	221
0	90

prune332.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite15.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

10.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series800.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
185.0ms	(cbrt (cos y))
175.0ms	(cbrt (cos y))
164.0ms	(cbrt (cos y))

simplify4.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5012
4	4963
3	1192
2	354
1	145
0	66

prune552.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite55.0ms

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:

41.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series920.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
211.0ms	(cbrt (* z (sin y)))
222.0ms	(cbrt (* z (sin y)))
211.0ms	(cbrt (* z (sin y)))

simplify3.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5031
4	4685
3	1449
2	590
1	213
0	89

prune410.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes376.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
2	22
1	20
0	12

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.1s	1487×	body	1280	valid
1.1s	1246×	body	640	valid
718.0ms	4301×	body	80	valid
426.0ms	620×	body	320	valid
198.0ms	346×	body	160	valid