Details

sample83.0ms

Algorithm

intervals

Results

33.0ms

282×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.0b

localize73.0ms

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))

rewrite10.0ms

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))

series1.8s

Counts

4 → 12

Calls

4 calls:

86.0ms	(fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a)
47.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
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)
394.0ms	(/ (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

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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 15.234687407) z 31.4690115749) 11.9400905721)
0.0ms	(fma y (/ 1 (/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))) x)
16.0ms	(/ 1 (/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)))
5.0ms	(/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))

series1.9s

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721)
1.2s	(fma y (/ 1 (/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))) x)
386.0ms	(/ 1 (/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b)))
265.0ms	(/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b))

simplify1.3s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	2277
1	491
0	219

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize148.0ms

Local error

Found 4 expressions with local error:

17.7b	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
17.7b	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
17.7b	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
24.3b	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771)) (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
1.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
1.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
19.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771)) (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))))

series1.6s

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
191.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
167.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
1.1s	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (* (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771)) (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	4098
2	945
1	309
0	142

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.7b

localize108.0ms

Local error

Found 4 expressions with local error:

17.7b	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
17.7b	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
17.7b	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
18.2b	(* (/ 1 (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))) (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
58×	`times-frac`
39×	`*-un-lft-identity`
38×	`cbrt-prod`
33×	`add-cube-cbrt`
26×	`add-exp-log`
22×	`associate-r` `associate-l`
15×	`unswap-sqr`
12×	`add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
1.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
1.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
40.0ms	(* (/ 1 (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))) (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))))

series1.7s

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
224.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
223.0ms	(cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))
1.0s	(* (/ 1 (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))) (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (cbrt (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771))))

simplify2.9s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	3644
1	676
0	237

prune1.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.7b

regimes1.7s

Accuracy

97.2% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 27.2b

bsearch390.0ms

Steps

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

simplify4.0ms

Iterations

Iter	Nodes
done	40
1	40
0	34

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.8s

8864×

body

valid