Details

sample138.0ms

Algorithm

intervals

Results

48.0ms	39×	body	1280	valid
37.0ms	41×	body	640	valid
27.0ms	152×	body	80	valid
9.0ms	18×	body	320	valid
3.0ms	6×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	21
1	13
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

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))

rewrite29.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 59

Calls

3 calls:

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

series166.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- (* x (cos y)) (* z (sin y)))
39.0ms	(* x (cos y))
46.0ms	(* z (sin y))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5004
3	1654
2	470
1	203
0	94

prune328.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (- (* z (sin y))))
0.1b	(* z (sin y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma x (cos y) (- (* z (sin y))))
16.0ms	(* z (sin y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(fma x (cos y) (- (* z (sin y))))
48.0ms	(* z (sin y))

simplify2.2s

Counts

38 → 38

Iterations

Iter	Nodes
done	5002
4	2111
3	634
2	213
1	95
0	51

prune196.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite33.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 85

Calls

4 calls:

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

series590.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
178.0ms	(cbrt (sin y))
131.0ms	(cbrt (sin y))
140.0ms	(cbrt (sin y))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	1352
2	474
1	182
0	81

prune582.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 70

Calls

4 calls:

36.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
7.0ms	(cbrt (* x (cos y)))
8.0ms	(cbrt (* x (cos y)))
8.0ms	(cbrt (* x (cos y)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
176.0ms	(cbrt (* x (cos y)))
189.0ms	(cbrt (* x (cos y)))
181.0ms	(cbrt (* x (cos y)))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5004
3	1710
2	554
1	204
0	87

prune397.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes352.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1393×	body	1280	valid
1.1s	1245×	body	640	valid
868.0ms	4412×	body	80	valid
341.0ms	635×	body	320	valid
102.0ms	315×	body	160	valid