Details

sample94.0ms

Algorithm

intervals

Results

27.0ms	28×	body	1280	valid
21.0ms	169×	body	80	valid
17.0ms	28×	body	640	valid
7.0ms	18×	body	320	valid
4.0ms	13×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

11.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ x (sin y))
79.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.9s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
4	1653
3	494
2	208
1	101
0	46

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (cos y) z (+ x (sin y)))
1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
13.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series383.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(fma (cos y) z (+ x (sin y)))
125.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
153.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
57.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify2.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5006
3	1636
2	443
1	182
0	92

prune535.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.0b	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.2b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
0.2b	(* (* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (sqrt (fma (cos y) z (+ x (sin y)))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-pow1`
53×	`sqrt-prod`
49×	`pow1`
38×	`add-sqr-sqrt`
32×	`pow-prod-up`
30×	`pow1/2`
18×	`associate-r`
16×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down`
7×	`associate-l`
6×	`pow3` `unswap-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`pow-plus` `*-commutative`

Counts

4 → 132

Calls

4 calls:

2.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
3.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
25.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
67.0ms	(* (* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (sqrt (fma (cos y) z (+ x (sin y)))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
252.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
339.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
70.0ms	(* (* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (sqrt (fma (cos y) z (+ x (sin y)))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

simplify2.0s

Counts

144 → 144

Iterations

Iter	Nodes
done	5009
2	1697
1	527
0	194

prune690.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

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

rewrite13.0ms

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 (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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
220.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
273.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
285.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1294
1	369
0	135

prune796.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

803.0ms	936×	body	1280	valid
785.0ms	5637×	body	80	valid
482.0ms	431×	body	320	valid
397.0ms	789×	body	640	valid
50.0ms	206×	body	160	valid
3.0ms	1×	body	2560	valid