Details

sample59.0ms

Algorithm

intervals

Results

26.0ms

266×

body

valid

simplify62.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	53
5	53
4	51
3	45
2	35
1	26
0	15

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.3b

localize33.0ms

Local error

Found 3 expressions with local error:

1.7b	(fma (/ y t) b (+ a 1.0))
3.4b	(fma (/ y t) z x)
11.9b	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (/ y t) b (+ a 1.0))
0.0ms	(fma (/ y t) z x)
4.0ms	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series698.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma (/ y t) b (+ a 1.0))
47.0ms	(fma (/ y t) z x)
605.0ms	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify2.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
4	4233
3	1002
2	325
1	128
0	77

prune425.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

localize19.0ms

Local error

Found 3 expressions with local error:

1.7b	(fma (/ y t) b (+ a 1.0))
4.8b	(* (/ y t) z)
11.9b	(/ (+ (* (/ y t) z) x) (fma (/ y t) b (+ a 1.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `fma-udef`

Counts

3 → 75

Calls

3 calls:

0.0ms	(fma (/ y t) b (+ a 1.0))
12.0ms	(* (/ y t) z)
30.0ms	(/ (+ (* (/ y t) z) x) (fma (/ y t) b (+ a 1.0)))

series615.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma (/ y t) b (+ a 1.0))
25.0ms	(* (/ y t) z)
551.0ms	(/ (+ (* (/ y t) z) x) (fma (/ y t) b (+ a 1.0)))

simplify1.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1027
1	312
0	142

prune632.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (fma (/ y t) b (+ a 1.0)))
1.7b	(fma (/ y t) b (+ a 1.0))
4.8b	(* (/ y t) z)
11.6b	(* (+ (* (/ y t) z) x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
29×	`*-un-lft-identity`
28×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube` `associate-r` `associate-l`
9×	`pow1`
6×	`prod-exp`
5×	`div-exp` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `associate-l/` `div-inv` `associate-/l*`
2×	`frac-times` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `*-commutative` `flip-+`
1×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

8.0ms	(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms	(fma (/ y t) b (+ a 1.0))
21.0ms	(* (/ y t) z)
55.0ms	(* (+ (* (/ y t) z) x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series788.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(/ 1 (fma (/ y t) b (+ a 1.0)))
41.0ms	(fma (/ y t) b (+ a 1.0))
25.0ms	(* (/ y t) z)
539.0ms	(* (+ (* (/ y t) z) x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1471
1	440
0	187

prune859.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 11.5b

localize35.0ms

Local error

Found 4 expressions with local error:

10.6b	(cbrt (fma (/ y t) b (+ a 1.0)))
10.6b	(cbrt (fma (/ y t) b (+ a 1.0)))
10.6b	(cbrt (fma (/ y t) b (+ a 1.0)))
11.9b	(/ (+ (* (/ y t) z) x) (* (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0)))) (cbrt (fma (/ y t) b (+ a 1.0)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `flip-+` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) b (+ a 1.0)))
1.0ms	(cbrt (fma (/ y t) b (+ a 1.0)))
1.0ms	(cbrt (fma (/ y t) b (+ a 1.0)))
46.0ms	(/ (+ (* (/ y t) z) x) (* (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0)))) (cbrt (fma (/ y t) b (+ a 1.0)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (fma (/ y t) b (+ a 1.0)))
307.0ms	(cbrt (fma (/ y t) b (+ a 1.0)))
269.0ms	(cbrt (fma (/ y t) b (+ a 1.0)))
595.0ms	(/ (+ (* (/ y t) z) x) (* (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0)))) (cbrt (fma (/ y t) b (+ a 1.0)))))

simplify2.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5005
3	3453
2	899
1	281
0	113

prune545.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 11.5b

regimes1.1s

Accuracy

43.1% (1.6b remaining)

Error of 12.8b against oracle of 11.2b and baseline of 14.0b

bsearch131.0ms

Steps

Iters	Range		Point
6	3.567448140193847e-228	3.1090108551282796e-227	9.963354697681221e-228
7	-2.579260339631958e-14	-1.0886590850937529e-16	-6.250985929191756e-15

simplify9.0ms

Iterations

Iter	Nodes
done	36
1	36
0	26

end0.0ms

sample1.5s

Algorithm

intervals

Results

978.0ms

8282×

body

valid