Details

sample113.0ms

Algorithm

intervals

Results

74.0ms

296×

body

valid

simplify696.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	1167
3	380
2	130
1	62
0	30

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
1.4b	(/ y (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
27.1b	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ y (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)

rewrite13.0ms

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 (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
11.0ms	(/ y (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
0.0ms	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ y (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)

series733.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
37.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
141.0ms	(/ y (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
430.0ms	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ y (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)

simplify601.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2001
2	783
1	280
0	149

prune717.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 1 expressions with local error:

0.5b	(fma (/ t z) (/ y z) (fma 3.13060547623 y x))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma (/ t z) (/ y z) (fma 3.13060547623 y x))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(fma (/ t z) (/ y z) (fma 3.13060547623 y x))

simplify516.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	2005
3	428
2	103
1	48
0	27

prune148.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize90.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
7.7b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
7.7b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
27.1b	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (/ 1 (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

6.0ms	(/ y (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))
2.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
0.0ms	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (/ 1 (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) x)

series861.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
97.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
98.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
450.0ms	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (/ 1 (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) x)

simplify613.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
2	856
1	325
0	162

prune948.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.5b

localize79.0ms

Local error

Found 4 expressions with local error:

7.7b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
7.7b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
17.0b	(log1p (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
27.1b	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (/ 1 (expm1 (log1p (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))) (/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
5×	`expm1-log1p-u`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`log1p-udef` `log1p-expm1` `fma-udef`

Counts

4 → 55

Calls

4 calls:

1.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
1.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
0.0ms	(log1p (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
0.0ms	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (/ 1 (expm1 (log1p (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))) (/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) x)

series4.3s

Counts

4 → 12

Calls

4 calls:

105.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
122.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
240.0ms	(log1p (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
3.8s	(fma (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (/ 1 (expm1 (log1p (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))) (/ y (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) x)

simplify695.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	2000
2	1126
1	391
0	162

prune676.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.5b

regimes1.3s

Accuracy

95.6% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 25.4b

bsearch380.0ms

Steps

Iters	Range		Point
8	6.958276601859552e+37	4.3273804415740485e+40	3.6239765426493e+38
8	-3.0026584550612127e+32	-5.593300959697928e+29	-4.56197502220436e+30

simplify12.0ms

Iterations

Iter	Nodes
done	60
1	60
0	40

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.3s

8843×

body

valid