Details

sample72.0ms

Algorithm

intervals

Results

30.0ms

356×

body

valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	289	13
4	777	13
5	1682	13
6	2279	13
7	2440	13
8	2452	13
done	2452	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.2b	(- (* x y) (* (* z 9.0) t))
5.2b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite89.0ms

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:

37.0ms	(* (* z 9.0) t)
11.0ms	(- (* x y) (* (* z 9.0) t))
38.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series241.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (* z 9.0) t)
83.0ms	(- (* x y) (* (* z 9.0) t))
126.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.6s

Counts

71 → 71

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	127	944
1	352	906
2	1799	787
done	5000	787

prune359.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 4.5 (/ (* t z) a))
0.2b	(* 0.5 (/ (* x y) a))
4.0b	(/ (* t z) a)
5.0b	(/ (* x y) a)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

33.0ms	(* 4.5 (/ (* t z) a))
48.0ms	(* 0.5 (/ (* x y) a))
20.0ms	(/ (* t z) a)
21.0ms	(/ (* x y) a)

series197.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 4.5 (/ (* t z) a))
50.0ms	(* 0.5 (/ (* x y) a))
35.0ms	(/ (* t z) a)
50.0ms	(/ (* x y) a)

simplify1.3s

Counts

116 → 116

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	154	1036
1	416	1002
2	2245	860
done	5000	836

prune491.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.2b	(- (* x y) (* z (* 9.0 t)))
5.2b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite99.0ms

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-l` `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-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

37.0ms	(* z (* 9.0 t))
11.0ms	(- (* x y) (* z (* 9.0 t)))
48.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series261.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* z (* 9.0 t))
94.0ms	(- (* x y) (* z (* 9.0 t)))
145.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	125	941
1	341	905
2	1561	786
done	5001	786

prune318.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt 4.5) (/ (* t z) a))
0.2b	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
4.0b	(/ (* t z) a)
5.0b	(/ (* x y) a)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
38×	`add-cbrt-cube`
26×	`prod-exp` `cbrt-unprod`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
9×	`times-frac` `pow-prod-down`
8×	`associate-r`
7×	`associate-l`
6×	`associate-/r*`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`frac-2neg` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

26.0ms	(* (cbrt 4.5) (/ (* t z) a))
82.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
13.0ms	(/ (* t z) a)
34.0ms	(/ (* x y) a)

series341.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt 4.5) (/ (* t z) a))
148.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
37.0ms	(/ (* t z) a)
36.0ms	(/ (* x y) a)

simplify2.3s

Counts

124 → 124

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	164	1468
1	470	1420
2	2690	1080
done	5000	943

prune479.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes946.0ms

Accuracy

41.8% (4.1b remaining)

Error of 4.5b against oracle of 0.4b and baseline of 7.5b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	74
1	54	74
done	54	74

end0.0ms

sample1.7s

Algorithm

intervals

Results

865.0ms

11079×

body

valid