Details

sample145.0ms

Algorithm

intervals

Results

48.0ms	39×	body	640	valid
43.0ms	45×	body	1280	valid
19.0ms	138×	body	80	valid
9.0ms	21×	body	320	valid
4.0ms	13×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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))

rewrite50.0ms

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:

19.0ms	(- (* x (cos y)) (* z (sin y)))
15.0ms	(* x (cos y))
16.0ms	(* z (sin y))

series247.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (* x (cos y)) (* z (sin y)))
70.0ms	(* x (cos y))
86.0ms	(* z (sin y))

simplify2.1s

Counts

60 → 60

Iterations

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

prune306.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite47.0ms

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:

17.0ms	(+ (* x (cos y)) (- (* z (sin y))))
14.0ms	(* x (cos y))
15.0ms	(* z (sin y))

series213.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* x (cos y)) (- (* z (sin y))))
50.0ms	(* x (cos y))
70.0ms	(* z (sin y))

simplify2.6s

Counts

63 → 63

Iterations

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

prune350.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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))

rewrite14.0ms

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))

series577.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
158.0ms	(cbrt (cos y))
124.0ms	(cbrt (cos y))
121.0ms	(cbrt (cos y))

simplify3.9s

Counts

89 → 89

Iterations

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

prune507.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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)))

rewrite36.0ms

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:

24.0ms	(* (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)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
152.0ms	(cbrt (* z (sin y)))
148.0ms	(cbrt (* z (sin y)))
179.0ms	(cbrt (* z (sin y)))

simplify2.9s

Counts

74 → 74

Iterations

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

prune469.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes362.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	22
2	22
1	20
0	12

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s	1487×	body	1280	valid
856.0ms	1246×	body	640	valid
540.0ms	4301×	body	80	valid
236.0ms	620×	body	320	valid
124.0ms	346×	body	160	valid