Details

sample119.0ms

Algorithm

intervals

Results

49.0ms	57×	body	1280	valid
22.0ms	42×	body	640	valid
15.0ms	132×	body	80	valid
6.0ms	16×	body	320	valid
2.0ms	9×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

26.0ms	(fma (sin y) (- z) (* x (cos y)))
11.0ms	(* x (cos y))

series192.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(fma (sin y) (- z) (* x (cos y)))
52.0ms	(* x (cos y))

simplify2.1s

Counts

36 → 36

Iterations

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

prune198.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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)

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:

16.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt x) (cbrt x))
272.0ms	(cbrt x)
279.0ms	(cbrt x)
246.0ms	(cbrt x)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune548.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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))))

rewrite22.0ms

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 (- (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:

298.0ms	(* (cbrt (fma (- (sin y)) z (* x (cos y)))) (cbrt (fma (- (sin y)) z (* x (cos y)))))
260.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
232.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
245.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))

simplify757.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	914
1	240
0	102

prune820.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

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 (* (cos y) x)))
0.6b	(cbrt (cbrt (fma (- (sin y)) z (* (cos y) x))))
0.9b	(pow (cbrt (cbrt (fma (- (sin y)) z (* (cos y) x)))) (+ 3 1))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`pow-to-exp` `unpow-prod-up` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
1.0ms	(cbrt (fma (- (sin y)) z (* (cos y) x)))
1.0ms	(cbrt (cbrt (fma (- (sin y)) z (* (cos y) x))))
7.0ms	(pow (cbrt (cbrt (fma (- (sin y)) z (* (cos y) x)))) (+ 3 1))

series1.1s

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt (fma (- (sin y)) z (* x (cos y))))
261.0ms	(cbrt (fma (- (sin y)) z (* (cos y) x)))
237.0ms	(cbrt (cbrt (fma (- (sin y)) z (* (cos y) x))))
321.0ms	(pow (cbrt (cbrt (fma (- (sin y)) z (* (cos y) x)))) (+ 3 1))

simplify876.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1417
1	397
0	156

prune877.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes329.0ms

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	9
1	9
0	8

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	1505×	body	1280	valid
678.0ms	1303×	body	640	valid
581.0ms	4260×	body	80	valid
245.0ms	624×	body	320	valid
77.0ms	308×	body	160	valid