Details

sample92.0ms

Algorithm

intervals

Results

24.0ms	36×	body	640	valid
24.0ms	179×	body	80	valid
23.0ms	24×	body	1280	valid
5.0ms	12×	body	320	valid
1.0ms	5×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	21
1	13
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

24.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ x (sin y))
59.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.8s

Counts

35 → 35

Iterations

Iter	Nodes
done	5048
4	1774
3	533
2	210
1	103
0	48

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

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))))

rewrite21.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

13.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
259.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
277.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
289.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify2.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1283
1	371
0	137

prune681.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

5.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
5.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
327.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
247.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
256.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify2.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1134
1	313
0	127

prune630.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
267.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
292.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
229.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify2.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5037
3	2845
2	582
1	184
0	80

prune769.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	5673×	body	80	valid
845.0ms	953×	body	1280	valid
444.0ms	764×	body	640	valid
126.0ms	392×	body	320	valid
46.0ms	217×	body	160	valid
1.0ms	1×	body	2560	valid