Details

sample104.0ms

Algorithm

intervals

Results

36.0ms	48×	body	1280	valid
21.0ms	46×	body	640	valid
12.0ms	128×	body	80	valid
8.0ms	26×	body	320	valid
2.0ms	8×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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)))
7.0ms	(* x (cos y))

series200.0ms

Counts

2 → 6

Calls

2 calls:

145.0ms	(fma (sin y) (- z) (* x (cos y)))
55.0ms	(* x (cos y))

simplify2.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	3094
3	927
2	253
1	95
0	51

prune271.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* x (cbrt (cos y))) (cbrt (cos y))) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 65

Calls

4 calls:

89.0ms	(* (* (* x (cbrt (cos y))) (cbrt (cos y))) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series566.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* (* x (cbrt (cos y))) (cbrt (cos y))) (cbrt (cos y)))
162.0ms	(cbrt (cos y))
182.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1101
1	179
0	70

prune494.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite8.0ms

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:

2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series517.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (cos y))
126.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))
125.0ms	(cbrt (cos y))

simplify3.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	4323
3	673
2	172
1	53
0	29

prune542.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize50.0ms

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

rewrite27.0ms

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:

22.0ms	(* (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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (cbrt (fma (- (sin y)) z (* x (cos y)))) (cbrt (fma (- (sin y)) z (* x (cos y)))))
269.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
250.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
247.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))

simplify988.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	914
1	240
0	102

prune768.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.1b

regimes402.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	1515×	body	1280	valid
852.0ms	4303×	body	80	valid
702.0ms	1236×	body	640	valid
201.0ms	624×	body	320	valid
81.0ms	322×	body	160	valid