Details

sample113.0ms

Algorithm

intervals

Results

52.0ms	44×	body	1280	valid
19.0ms	38×	body	640	valid
14.0ms	150×	body	80	valid
5.0ms	17×	body	320	valid
1.0ms	7×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (cos y) (* z (sin y)))
12.0ms	(* z (sin y))

series187.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(fma x (cos y) (* z (sin y)))
75.0ms	(* z (sin y))

simplify3.7s

Counts

36 → 36

Iterations

Useful iterations: 3 (612.0ms)

Iter	Nodes	Cost
0	49	269
1	89	264
2	240	234
3	1121	232
4	4628	232
done	5000	232

prune212.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

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)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

21.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

327.0ms	(* (cbrt z) (cbrt z))
289.0ms	(cbrt z)
263.0ms	(cbrt z)
263.0ms	(cbrt z)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune578.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

13.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

374.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
324.0ms	(cbrt (fma x (cos y) (* z (sin y))))
317.0ms	(cbrt (fma x (cos y) (* z (sin y))))
307.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify5.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	120	1813
1	295	1680
2	948	1529
3	4760	1317
done	5000	1317

prune654.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* z (sin y))
0.2b	(* (sqrt (fma x (cos y) (* z (sin y)))) (sqrt (fma x (cos y) (* z (sin y)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
23×	`pow1`
18×	`sqrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `fma-udef`

Counts

4 → 101

Calls

4 calls:

1.0ms	(fma x (cos y) (* z (sin y)))
34.0ms	(* z (sin y))
20.0ms	(* z (sin y))
15.0ms	(* (sqrt (fma x (cos y) (* z (sin y)))) (sqrt (fma x (cos y) (* z (sin y)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(fma x (cos y) (* z (sin y)))
64.0ms	(* z (sin y))
82.0ms	(* z (sin y))
101.0ms	(* (sqrt (fma x (cos y) (* z (sin y)))) (sqrt (fma x (cos y) (* z (sin y)))))

simplify2.7s

Counts

113 → 113

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	94	1603
1	177	1086
2	516	954
3	2816	909
done	5001	879

prune537.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	1474×	body	1280	valid
874.0ms	1243×	body	640	valid
754.0ms	4385×	body	80	valid
215.0ms	597×	body	320	valid
71.0ms	301×	body	160	valid