Details

sample80.0ms

Algorithm

intervals

Results

44.0ms

346×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	1596
8	1596
7	1568
6	1530
5	1249
4	716
3	283
2	88
1	27
0	13

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize48.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
6.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

43.0ms	(* (* z 9.0) t)
18.0ms	(- (* x y) (* (* z 9.0) t))
51.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series416.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (* z 9.0) t)
156.0ms	(- (* x y) (* (* z 9.0) t))
213.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify3.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1255
1	352
0	127

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.9b	(/ (* x y) a)
6.2b	(/ (* t z) a)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

51.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
102.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ (* x y) a)
20.0ms	(/ (* t z) a)

series352.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
50.0ms	(* 4.5 (/ (* t z) a))
41.0ms	(/ (* x y) a)
44.0ms	(/ (* t z) a)

simplify3.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5011
2	1747
1	430
0	157

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b	(* 4.5 (/ t (/ a z)))
3.9b	(/ (* x y) a)
5.0b	(/ t (/ a z))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
93×	`add-sqr-sqrt`
84×	`add-cube-cbrt` `*-un-lft-identity`
44×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
10×	`div-inv`
8×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l*`
3×	`associate-r/` `associate-l*` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 180

Calls

4 calls:

39.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
55.0ms	(* 4.5 (/ t (/ a z)))
29.0ms	(/ (* x y) a)
19.0ms	(/ t (/ a z))

series398.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
67.0ms	(* 4.5 (/ t (/ a z)))
42.0ms	(/ (* x y) a)
43.0ms	(/ t (/ a z))

simplify4.7s

Counts

192 → 192

Iterations

Iter	Nodes
done	5004
2	2987
1	827
0	301

prune2.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
0.2b	(* 4.5 (/ t (/ a z)))
4.8b	(* x (/ y a))
5.0b	(/ t (/ a z))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
90×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`div-inv`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l` `add-log-exp`
5×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/l*`
2×	`pow-prod-down` `associate-/r/` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `frac-sub` `flip--`

Counts

4 → 191

Calls

4 calls:

74.0ms	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
257.0ms	(* 4.5 (/ t (/ a z)))
29.0ms	(* x (/ y a))
19.0ms	(/ t (/ a z))

series361.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
52.0ms	(* 4.5 (/ t (/ a z)))
49.0ms	(* x (/ y a))
48.0ms	(/ t (/ a z))

simplify6.5s

Counts

203 → 203

Iterations

Iter	Nodes
done	5002
2	3142
1	892
0	323

prune3.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes3.4s

Accuracy

89.7% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.1b

bsearch2.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	49
1	49
0	38

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s

11195×

body

valid