Details

sample52.0ms

Algorithm

intervals

Results

30.0ms

284×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
5	3129
4	1167
3	380
2	130
1	62
0	30

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.8b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
0.0b	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.1b	(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
28.8b	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.0ms	(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
7.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

series1.4s

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
31.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
974.0ms	(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
327.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

simplify2.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5006
3	2085
2	643
1	258
0	140

prune777.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 3.13060547623 (/ (/ t z) z))
0.2b	(/ (/ t z) z)
3.1b	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `associate-/r*` `fma-def` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out` `associate-/l/`

Counts

3 → 102

Calls

3 calls:

16.0ms	(+ 3.13060547623 (/ (/ t z) z))
12.0ms	(/ (/ t z) z)
0.0ms	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series160.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ 3.13060547623 (/ (/ t z) z))
29.0ms	(/ (/ t z) z)
87.0ms	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify2.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	4800
2	1102
1	431
0	187

prune603.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize79.0ms

Local error

Found 4 expressions with local error:

8.7b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
8.7b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
18.7b	(/ (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
25.2b	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 252

Calls

4 calls:

1.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
2.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
12.0ms	(/ (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
5.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

series1.0s

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
115.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
298.0ms	(/ (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
486.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

simplify2.4s

Counts

264 → 264

Iterations

Iter	Nodes
done	5000
2	1665
1	693
0	317

prune2.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize96.0ms

Local error

Found 4 expressions with local error:

8.7b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
17.7b	(sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
17.7b	(sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
18.7b	(/ (/ (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

5352×	`times-frac`
4529×	`sqrt-prod`
2437×	`add-sqr-sqrt`
2432×	`*-un-lft-identity` `add-cube-cbrt`
283×	`associate-/l*`
71×	`div-inv`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1` `sqrt-pow1`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`rem-sqrt-square` `pow1/2`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 2067

Calls

4 calls:

2.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
4.0ms	(sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
3.0ms	(sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
31.0ms	(/ (/ (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

series907.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
217.0ms	(sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
182.0ms	(sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
367.0ms	(/ (/ (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (sqrt (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

simplify5.8s

Counts

2079 → 2079

Iterations

Iter	Nodes
done	5001
1	4020
0	1795

prune10.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes1.0s

Accuracy

97.4% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 26.2b

bsearch343.0ms

Steps

Iters	Range		Point
7	2.080635594348528e+42	5.689174447694687e+43	8.317246802743899e+42
8	-1.0556877403825354e+46	-1.8269303503676755e+43	-1.0597997332978914e+45

simplify13.0ms

Iterations

Iter	Nodes
done	41
1	41
0	36

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.9s

8943×

body

valid