Details

sample122.0ms

Algorithm

intervals

Results

42.0ms	48×	body	640	valid
32.0ms	39×	body	1280	valid
17.0ms	139×	body	80	valid
9.0ms	22×	body	320	valid
2.0ms	8×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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))

rewrite63.0ms

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:

24.0ms	(- (* x (cos y)) (* z (sin y)))
18.0ms	(* x (cos y))
19.0ms	(* z (sin y))

series214.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (* x (cos y)) (* z (sin y)))
52.0ms	(* x (cos y))
76.0ms	(* z (sin y))

simplify2.0s

Counts

68 → 68

Iterations

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

prune376.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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))))
19.0ms	(* z (sin y))

series150.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(fma x (cos y) (- (* z (sin y))))
46.0ms	(* z (sin y))

simplify2.4s

Counts

38 → 38

Iterations

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

prune234.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

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×	`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 (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series663.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
155.0ms	(cbrt (cos y))
132.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))

simplify3.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4560
3	1176
2	391
1	152
0	70

prune593.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 92

Calls

4 calls:

9.0ms	(* z (sin y))
64.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
11.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series268.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* z (sin y))
46.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
20.0ms	(* (cos y) (cos y))
145.0ms	(cbrt (cos y))

simplify3.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5003
3	4027
2	1213
1	356
0	146

prune593.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1421×	body	1280	valid
1.0s	4456×	body	80	valid
789.0ms	1186×	body	640	valid
300.0ms	596×	body	320	valid
85.0ms	341×	body	160	valid