Details

sample117.0ms

Algorithm

intervals

Results

42.0ms	49×	body	1280	valid
27.0ms	49×	body	640	valid
15.0ms	126×	body	80	valid
9.0ms	20×	body	320	valid
3.0ms	12×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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` `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:

1.0ms	(fma x (cos y) (* z (sin y)))
19.0ms	(* z (sin y))

series172.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(fma x (cos y) (* z (sin y)))
57.0ms	(* z (sin y))

simplify3.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	49	269
1	83	264
2	165	232
3	321	232
4	755	232
5	3025	232
done	5000	232

prune182.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))))

rewrite20.0ms

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

series1.5s

Counts

4 → 12

Calls

4 calls:

396.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
328.0ms	(cbrt (fma x (cos y) (* z (sin y))))
393.0ms	(cbrt (fma x (cos y) (* z (sin y))))
342.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify4.4s

Counts

93 → 93

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	120	1813
1	272	1680
2	685	1528
3	1702	1317
4	4844	1258
done	5000	1254

prune486.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(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:

346.0ms	(cbrt (fma x (cos y) (* z (sin y))))
242.0ms	(cbrt (fma x (cos y) (* z (sin y))))
323.0ms	(cbrt (fma x (cos y) (* z (sin y))))
358.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	63	992
1	138	964
2	305	872
3	709	836
4	1771	784
done	5000	776

prune486.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- (cos y)) (/ -1 x))) (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 (/ (- (cos y)) (/ -1 x)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

446×	`times-frac`
289×	`cbrt-prod`
251×	`add-sqr-sqrt`
229×	`add-cube-cbrt` `*-un-lft-identity`
138×	`associate-l`
78×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
26×	`neg-mul-1`
22×	`div-inv`
8×	`unswap-sqr`
6×	`pow1` `add-exp-log` `associate-r`
5×	`pow1/3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `associate-/r/`
1×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 339

Calls

4 calls:

161.0ms	(* (cbrt (/ (- (cos y)) (/ -1 x))) (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))))
11.0ms	(cbrt (/ (- (cos y)) (/ -1 x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

454.0ms	(* (cbrt (/ (- (cos y)) (/ -1 x))) (cbrt (fma x (cos y) (* z (sin y)))))
376.0ms	(cbrt (fma x (cos y) (* z (sin y))))
350.0ms	(cbrt (fma x (cos y) (* z (sin y))))
150.0ms	(cbrt (/ (- (cos y)) (/ -1 x)))

simplify2.5s

Counts

351 → 351

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	688	6899
1	1282	6618
2	2942	6458
done	5001	6412

prune2.5s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes152.0ms

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

sample4.4s

Algorithm

intervals

Results

1.9s	1491×	body	1280	valid
680.0ms	1231×	body	640	valid
647.0ms	4313×	body	80	valid
588.0ms	653×	body	320	valid
134.0ms	312×	body	160	valid