Details

sample125.0ms

Algorithm

intervals

Results

50.0ms	57×	body	1280	valid
24.0ms	42×	body	640	valid
17.0ms	131×	body	80	valid
6.0ms	16×	body	320	valid
3.0ms	10×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune47.0ms

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

rewrite16.0ms

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` `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 (cos y) z (* x (sin y)))
14.0ms	(* x (sin y))

series182.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(fma (cos y) z (* x (sin y)))
68.0ms	(* x (sin y))

simplify2.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4604
3	1246
2	320
1	107
0	56

prune209.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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` `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:

17.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
323.0ms	(cbrt (fma x (sin y) (* z (cos y))))
304.0ms	(cbrt (fma x (sin y) (* z (cos y))))
314.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify877.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	871
1	240
0	102

prune774.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt (fma x (sin y) (* z (cos y))))
363.0ms	(cbrt (fma x (sin y) (* (cos y) z)))
314.0ms	(cbrt (fma x (sin y) (* (cos y) z)))
318.0ms	(cbrt (fma x (sin y) (* (cos y) z)))

simplify717.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	1067
2	300
1	121
0	66

prune745.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (fma x (sin y) (* z (cos y))))
313.0ms	(cbrt (fma x (sin y) (* z (cos y))))
290.0ms	(cbrt (fma x (sin y) (* z (cos y))))
353.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify741.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	1032
2	273
1	103
0	51

prune661.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes437.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.9s	1508×	body	1280	valid
728.0ms	1295×	body	640	valid
512.0ms	308×	body	160	valid
491.0ms	4259×	body	80	valid
301.0ms	630×	body	320	valid