Details

sample107.0ms

Algorithm

intervals

Results

49.0ms	45×	body	1280	valid
17.0ms	33×	body	640	valid
13.0ms	133×	body	80	valid
9.0ms	27×	body	320	valid
4.0ms	18×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune11.0ms

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

rewrite9.0ms

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)))
8.0ms	(* x (sin y))

series174.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(fma (cos y) z (* x (sin y)))
68.0ms	(* x (sin y))

simplify2.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
4	2388
3	737
2	253
1	107
0	56

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
8.1b	(cbrt (* x (sin y)))
8.1b	(cbrt (* x (sin y)))
8.1b	(cbrt (* x (sin y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

29.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
13.0ms	(cbrt (* x (sin y)))
7.0ms	(cbrt (* x (sin y)))
7.0ms	(cbrt (* x (sin y)))

series787.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
195.0ms	(cbrt (* x (sin y)))
192.0ms	(cbrt (* x (sin y)))
213.0ms	(cbrt (* x (sin y)))

simplify2.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
4	4477
3	1511
2	541
1	215
0	91

prune653.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite14.0ms

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 x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt x) (cbrt x))
278.0ms	(cbrt x)
263.0ms	(cbrt x)
279.0ms	(cbrt x)

simplify3.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4108
3	1072
2	382
1	140
0	65

prune600.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (sin y)) (* x (sin y)))
0.3b	(* (cbrt (* (* x (sin y)) (* x (sin y)))) (cbrt (* x (sin y))))
8.1b	(cbrt (* x (sin y)))
30.6b	(cbrt (* (* x (sin y)) (* x (sin y))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
19×	`pow-prod-down`
18×	`add-exp-log`
16×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow1/3` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus` `*-commutative` `unswap-sqr`
1×	`pow2` `swap-sqr` `pow3`

Counts

4 → 83

Calls

4 calls:

45.0ms	(* (* x (sin y)) (* x (sin y)))
51.0ms	(* (cbrt (* (* x (sin y)) (* x (sin y)))) (cbrt (* x (sin y))))
4.0ms	(cbrt (* x (sin y)))
20.0ms	(cbrt (* (* x (sin y)) (* x (sin y))))

series548.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* x (sin y)) (* x (sin y)))
67.0ms	(* (cbrt (* (* x (sin y)) (* x (sin y)))) (cbrt (* x (sin y))))
198.0ms	(cbrt (* x (sin y)))
191.0ms	(cbrt (* (* x (sin y)) (* x (sin y))))

simplify3.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
3	3422
2	962
1	306
0	131

prune572.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes295.0ms

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

sample3.6s

Algorithm

intervals

Results

1.2s	1463×	body	1280	valid
1.1s	1208×	body	640	valid
499.0ms	4336×	body	80	valid
425.0ms	665×	body	320	valid
109.0ms	328×	body	160	valid