Details

sample67.0ms

Algorithm

intervals

Results

28.0ms

277×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
0.1b	(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)
27.6b	(/ (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))

rewrite6.0ms

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 z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
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)
4.0ms	(/ (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))

series1.5s

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
37.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
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)
300.0ms	(/ (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))

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	1980
2	632
1	252
0	132

prune887.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

3.8b	(fma y (+ 3.13060547623 (/ t (* z z))) x)
8.6b	(/ t (* z z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma y (+ 3.13060547623 (/ t (* z z))) x)
10.0ms	(/ t (* z z))

series122.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(fma y (+ 3.13060547623 (/ t (* z z))) x)
36.0ms	(/ t (* z z))

simplify1.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	1702
2	418
1	139
0	65

prune293.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ t z) z)
3.8b	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `fma-udef` `associate-/l/`

Counts

2 → 82

Calls

2 calls:

11.0ms	(/ (/ t z) z)
0.0ms	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series86.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (/ t z) z)
57.0ms	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify2.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5040
3	4478
2	905
1	359
0	162

prune615.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.8b	(fma y (+ 3.13060547623 (* (/ (cbrt t) (/ z (cbrt t))) (/ (cbrt t) z))) x)

rewrite5.0ms

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:

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

series903.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt t)
260.0ms	(cbrt t)
267.0ms	(cbrt t)
119.0ms	(fma y (+ 3.13060547623 (* (/ (cbrt t) (/ z (cbrt t))) (/ (cbrt t) z))) x)

simplify2.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5006
4	3012
3	726
2	253
1	99
0	53

prune371.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes1.2s

Accuracy

97.1% (0.8b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 26.6b

bsearch342.0ms

Steps

Iters	Range		Point
9	1.0619574867451315e+27	3.808858172108706e+32	5.877344572473257e+29
9	-3.9628163174181575e+30	-3.9554820123738635e+22	-3.240660210645078e+30

simplify9.0ms

Iterations

Iter	Nodes
done	44
1	44
0	38

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.7s

8902×

body

valid