Details

sample70.0ms

Algorithm

intervals

Results

34.0ms

282×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1293
3	386
2	132
1	62
0	30

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
0.1b	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
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)
26.1b	(/ (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))

rewrite11.0ms

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` `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 → 59

Calls

4 calls:

0.0ms	(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
0.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
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))

series1.6s

Counts

4 → 12

Calls

4 calls:

85.0ms	(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
41.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
1.1s	(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)
332.0ms	(/ (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))

simplify1.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	2982
2	752
1	262
0	138

prune750.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize98.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.1b	(fma y (/ 1 (/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))) x)
0.2b	(/ 1 (/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)))
26.1b	(/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.0ms	(fma y (/ 1 (/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))) x)
8.0ms	(/ 1 (/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)))
6.0ms	(/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))

series1.6s

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
906.0ms	(fma y (/ 1 (/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))) x)
340.0ms	(/ 1 (/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)))
264.0ms	(/ (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))

simplify1.8s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	2287
1	491
0	219

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 1 expressions with local error:

0.7b	(fma (/ y z) (/ t z) (fma 3.13060547623 y x))

rewrite1.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	2333
3	402
2	117
1	47
0	26

prune170.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(fma (/ y z) (/ t z) (fma 3.13060547623 y x))
13.4b	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))
13.4b	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))
13.4b	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(fma (/ y z) (/ t z) (fma 3.13060547623 y x))
1.0ms	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))
1.0ms	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))
1.0ms	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma (/ y z) (/ t z) (fma 3.13060547623 y x))
328.0ms	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))
336.0ms	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))
346.0ms	(cbrt (fma (/ y z) (/ t z) (fma 3.13060547623 y x)))

simplify1.5s

Counts

61 → 61

Iterations

Iter	Nodes
done	5002
3	1677
2	410
1	142
0	70

prune582.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.7b

regimes1.7s

Accuracy

97.2% (0.8b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 26.9b

bsearch377.0ms

Steps

Iters	Range		Point
8	1.2451536107620915e+24	9.583338110176862e+26	8.547714906039646e+26
9	-7.557965777348655e+48	-3.570751249498963e+39	-1.1377676592436387e+43

simplify7.0ms

Iterations

Iter	Nodes
done	44
1	44
0	37

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s

8864×

body

valid