Details

sample99.0ms

Algorithm

intervals

Results

41.0ms	178×	body	80	valid
20.0ms	26×	body	1280	valid
12.0ms	26×	body	640	valid
5.0ms	14×	body	320	valid
3.0ms	12×	body	160	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (cos y) z (+ x (sin y)))

series75.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(fma (cos y) z (+ x (sin y)))

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	22	135
1	32	135
2	65	117
3	260	117
4	1360	117
done	5000	117

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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

rewrite18.0ms

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:

12.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
327.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
299.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
335.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify788.0ms

Counts

93 → 93

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	137	2163
1	348	2019
2	1137	1833
done	5000	1658

prune388.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.0b	(fma (cos y) z (+ x (sin y)))
0.0b	(fma (cos y) z (+ x (sin y)))
0.3b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
0.0ms	(fma (cos y) z (+ x (sin y)))
0.0ms	(fma (cos y) z (+ x (sin y)))
14.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
61.0ms	(fma (cos y) z (+ x (sin y)))
56.0ms	(fma (cos y) z (+ x (sin y)))
58.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify1.5s

Counts

98 → 98

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	92	1716
1	178	1179
2	447	1044
3	1486	993
done	5002	954

prune377.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (cos y) z (sin y))
0.1b	(fma (cos y) z (sin y))
0.2b	(* (sqrt (sqrt (+ x (fma (cos y) z (sin y))))) (sqrt (sqrt (+ x (fma (cos y) z (sin y))))))
0.3b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (* (sqrt (sqrt (+ x (fma (cos y) z (sin y))))) (sqrt (sqrt (+ x (fma (cos y) z (sin y)))))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

86×	`sqrt-prod`
50×	`add-sqr-sqrt`
48×	`sqrt-div`
35×	`pow1` `sqrt-pow1`
32×	`*-un-lft-identity`
19×	`pow1/2`
18×	`add-cube-cbrt` `swap-sqr`
16×	`associate-l`
12×	`flip3-+` `associate-*r/` `pow-prod-down` `flip-+`
11×	`add-exp-log` `associate-r` `add-cbrt-cube` `unswap-sqr`
9×	`pow-prod-up`
8×	`frac-times`
6×	`distribute-lft-out`
5×	`pow-sqr`
4×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative` `fma-udef`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 146

Calls

4 calls:

0.0ms	(fma (cos y) z (sin y))
0.0ms	(fma (cos y) z (sin y))
84.0ms	(* (sqrt (sqrt (+ x (fma (cos y) z (sin y))))) (sqrt (sqrt (+ x (fma (cos y) z (sin y))))))
129.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (* (sqrt (sqrt (+ x (fma (cos y) z (sin y))))) (sqrt (sqrt (+ x (fma (cos y) z (sin y)))))))

series424.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(fma (cos y) z (sin y))
62.0ms	(fma (cos y) z (sin y))
111.0ms	(* (sqrt (sqrt (+ x (fma (cos y) z (sin y))))) (sqrt (sqrt (+ x (fma (cos y) z (sin y))))))
173.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (* (sqrt (sqrt (+ x (fma (cos y) z (sin y))))) (sqrt (sqrt (+ x (fma (cos y) z (sin y)))))))

simplify2.6s

Counts

158 → 158

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	187	4293
1	373	2614
2	974	2162
3	3654	2084
done	5000	2082

prune579.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

701.0ms	5562×	body	80	valid
602.0ms	1001×	body	1280	valid
517.0ms	395×	body	320	valid
432.0ms	815×	body	640	valid
43.0ms	227×	body	160	valid