Details

sample82.0ms

Algorithm

intervals

Results

37.0ms

282×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	30	37
1	62	30
2	132	30
3	376	29
4	1053	29
5	3174	29
done	5001	29

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
0.1b	(fma (fma z 3.13060547623 11.1667541262) z t)
2.4b	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
27.7b	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
0.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
5.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

125.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
46.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
175.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.1s	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	145	1496
1	271	1478
2	632	1311
3	1743	1303
done	5000	1292

prune616.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
0.0b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.4b	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
9.6b	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma a z b) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
0.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
7.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma a z b) x)

series790.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
50.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
188.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
492.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma a z b) x)

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	1406
1	267	1384
2	645	1244
3	1698	1225
done	5000	1213

prune485.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

9.6b	(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma a z b) x)
18.0b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
18.0b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
18.0b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

0.0ms	(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma a z b) x)
1.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

series1.0s

Counts

4 → 12

Calls

4 calls:

376.0ms	(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma a z b) x)
228.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
238.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
191.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	90	1699
1	193	1666
2	504	1455
3	1644	1111
done	5000	1107

prune504.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

2.9b	(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
6.4b	(/ t (pow z 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
8×	`associate-/r*`
7×	`add-exp-log`
4×	`add-cbrt-cube` `unpow2` `sqr-pow`
3×	`div-exp` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 61

Calls

2 calls:

0.0ms	(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
8.0ms	(/ t (pow z 2))

series119.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
42.0ms	(/ t (pow z 2))

simplify1.1s

Counts

67 → 67

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	111	726
1	190	677
2	408	575
3	1285	575
done	5000	575

prune243.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.2b

regimes976.0ms

Accuracy

94.9% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 22.2b

bsearch266.0ms

Steps

Iters	Range		Point
8	4.7234597796334773e+33	1.0482750695857111e+38	4.060395068869863e+37
7	-1.7485765846485206e+42	-9.677506334057291e+39	-7.015082020649901e+40

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	59
1	43	50
done	43	50

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.8s

8873×

body

valid