Details

sample91.0ms

Algorithm

intervals

Results

31.0ms	57×	body	1280	valid
26.0ms	42×	body	640	valid
10.0ms	132×	body	80	valid
4.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (sin y) z (* x (cos y)))
0.1b	(* x (cos y))

rewrite15.0ms

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

series581.0ms

Counts

2 → 6

Calls

2 calls:

499.0ms	(fma (sin y) z (* x (cos y)))
82.0ms	(* x (cos y))

simplify5.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4857
3	1134
2	275
1	91
0	50

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite25.0ms

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:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt x) (cbrt x))
295.0ms	(cbrt x)
292.0ms	(cbrt x)
269.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune584.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
0.6b	(cbrt (fma (sin y) z (* x (cos y))))
0.6b	(cbrt (fma (sin y) z (* x (cos y))))
0.6b	(cbrt (fma (sin y) z (* x (cos y))))

rewrite15.0ms

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:

9.0ms	(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
294.0ms	(cbrt (fma (sin y) z (* x (cos y))))
250.0ms	(cbrt (fma (sin y) z (* x (cos y))))
209.0ms	(cbrt (fma (sin y) z (* x (cos y))))

simplify3.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4818
2	870
1	238
0	102

prune555.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (sin y) z (* x (cos y))))
0.6b	(cbrt (fma (sin y) z (* x (cos y))))
0.6b	(cbrt (fma (sin y) z (* x (cos y))))
0.9b	(pow (cbrt (cbrt (fma (sin y) z (* x (cos y))))) 4)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
1.0ms	(cbrt (fma (sin y) z (* x (cos y))))
5.0ms	(pow (cbrt (cbrt (fma (sin y) z (* x (cos y))))) 4)

series1.2s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt (fma (sin y) z (* x (cos y))))
272.0ms	(cbrt (fma (sin y) z (* x (cos y))))
293.0ms	(cbrt (fma (sin y) z (* x (cos y))))
306.0ms	(pow (cbrt (cbrt (fma (sin y) z (* x (cos y))))) 4)

simplify2.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	4673
2	987
1	302
0	118

prune746.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes392.0ms

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

sample4.1s

Algorithm

intervals

Results

1.5s	1505×	body	1280	valid
1.3s	4260×	body	80	valid
688.0ms	1303×	body	640	valid
201.0ms	624×	body	320	valid
66.0ms	308×	body	160	valid