Details

sample129.0ms

Algorithm

intervals

Results

83.0ms

278×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma 3.13060547623 z 11.1667541262) z t)
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)
25.1b	(/ (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))

rewrite16.0ms

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:

1.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
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))

series1.4s

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
47.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
978.0ms	(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)
326.0ms	(/ (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))

simplify2.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	2041
2	639
1	256
0	139

prune749.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize51.0ms

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)))
25.1b	(/ (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))

rewrite15.0ms

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` `insert-posit16` `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 → 131

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)
7.0ms	(/ 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))

series1.7s

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
1.0s	(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)
331.0ms	(/ 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)))
220.0ms	(/ (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))

simplify2.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
3	3622
2	1168
1	489
0	223

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b	(fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721)
0.1b	(/ y (/ (fma z (fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721) 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b)))
25.1b	(/ (fma z (fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721) 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

0.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
0.0ms	(fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721)
9.0ms	(/ y (/ (fma z (fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721) 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b)))
6.0ms	(/ (fma z (fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721) 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b))

series756.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
53.0ms	(fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721)
416.0ms	(/ y (/ (fma z (fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721) 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b)))
249.0ms	(/ (fma z (fma z (fma (+ 15.234687407 z) z 31.4690115749) 11.9400905721) 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b))

simplify1.7s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	1538
1	499
0	226

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize64.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
16.2b	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
16.2b	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
25.1b	(/ (fma (fma z (* (* (cbrt (fma (fma 3.13060547623 z 11.1667541262) z t)) (cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))) (cbrt (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))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `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` `pow1/3` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
1.0ms	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
1.0ms	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
7.0ms	(/ (fma (fma z (* (* (cbrt (fma (fma 3.13060547623 z 11.1667541262) z t)) (cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))) (cbrt (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))

series1.1s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
256.0ms	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
215.0ms	(cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))
389.0ms	(/ (fma (fma z (* (* (cbrt (fma (fma 3.13060547623 z 11.1667541262) z t)) (cbrt (fma (fma 3.13060547623 z 11.1667541262) z t))) (cbrt (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))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	1909
2	662
1	270
0	136

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes923.0ms

Accuracy

97.4% (0.7b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 27.1b

bsearch375.0ms

Steps

Iters	Range		Point
9	2.2698944026945608e+54	6.0276840188331816e+63	4.8590408174333496e+55
9	-5.982835699292103e+42	-6.060579516717037e+36	-3.9856954798303585e+39

simplify11.0ms

Iterations

Iter	Nodes
done	42
1	42
0	36

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.5s

8843×

body

valid