Details

sample91.0ms

Algorithm

intervals

Results

42.0ms

284×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
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)
0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
25.7b	(/ (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))

rewrite12.0ms

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 (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
1.0ms	(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)
0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
8.0ms	(/ (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))

series1.8s

Counts

4 → 12

Calls

4 calls:

157.0ms	(fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)
1.2s	(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)
61.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
411.0ms	(/ (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))

simplify4.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	3057
2	726
1	247
0	131

prune880.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (/ 1 (/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))) x)
0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.2b	(/ 1 (/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b)))
25.6b	(/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) 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 y (/ 1 (/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))) x)
0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
8.0ms	(/ 1 (/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b)))
4.0ms	(/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))

series1.9s

Counts

4 → 12

Calls

4 calls:

1.2s	(fma y (/ 1 (/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))) x)
47.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
400.0ms	(/ 1 (/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b)))
288.0ms	(/ (fma (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) z 0.607771387771) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))

simplify1.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5002
2	2133
1	475
0	215

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b)
0.1b	(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b	(/ y (/ (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b)))
25.6b	(/ (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b))

rewrite37.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`associate-/r/`

Counts

4 → 121

Calls

4 calls:

1.0ms	(fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b)
12.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
12.0ms	(/ y (/ (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b)))
4.0ms	(/ (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b))

series1.1s

Counts

4 → 12

Calls

4 calls:

146.0ms	(fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b)
33.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
670.0ms	(/ y (/ (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b)))
291.0ms	(/ (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) z b))

simplify1.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	5002
2	2209
1	504
0	219

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b)
0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.2b	(/ 1 (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.8b	(* (/ 1 (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b)
0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
4.0ms	(/ 1 (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771))
21.0ms	(* (/ 1 (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))

series721.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b)
56.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
118.0ms	(/ 1 (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771))
394.0ms	(* (/ 1 (fma (fma (fma (+ 15.234687407 z) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma z (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) b))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1760
1	384
0	171

prune991.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

regimes1.1s

Accuracy

97.3% (0.7b remaining)

Error of 0.9b against oracle of 0.2b and baseline of 25.4b

bsearch435.0ms

Steps

Iters	Range		Point
10	68386531807.04786	7.445004787773374e+23	7.31737881160239e+23
9	-3.427055368095583e+69	-1.4228449744716017e+63	-4.2326254338963627e+64

simplify8.0ms

Iterations

Iter	Nodes
done	40
1	40
0	34

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.0s

8905×

body

valid