Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	33×	body	1280	valid
9.0ms	179×	body	80	valid
7.0ms	28×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	9×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	25	8
done	25	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (sin y))
47.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.3s

Counts

33 → 33

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	46	251
1	99	246
2	194	220
3	468	220
4	1547	220
done	5000	220

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series796.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
194.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
195.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
194.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify567.0ms

Counts

93 → 93

Iterations

Useful iterations: done (564.0ms)

Iter	Nodes	Cost
0	137	2163
1	346	2023
2	1207	1839
done	5000	1833

prune319.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:

0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series766.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
191.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
193.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
192.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 3 (363.0ms)

Iter	Nodes	Cost
0	70	1332
1	182	1292
2	617	1172
3	3862	1128
done	5000	1128

prune307.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
2.1b	(pow (fma (cos y) z (+ x (sin y))) 1/3)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(pow (fma (cos y) z (+ x (sin y))) 1/3)

series766.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
192.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
191.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
191.0ms	(pow (fma (cos y) z (+ x (sin y))) 1/3)

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: 3 (454.0ms)

Iter	Nodes	Cost
0	95	1434
1	234	1294
2	730	1170
3	4151	1126
done	5000	1126

prune351.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

405.0ms	959×	body	1280	valid
294.0ms	5593×	body	80	valid
218.0ms	836×	body	640	valid
74.0ms	407×	body	320	valid
24.0ms	205×	body	160	valid