Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

359×

body

valid

simplify1.2s

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	704	13
5	1255	13
6	1559	13
7	1592	13
done	1592	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

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:

3.0ms	(- (* x y) (* (* z 9.0) t))
7.0ms	(* (* z 9.0) t)
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x y) (* (* z 9.0) t))
20.0ms	(* (* z 9.0) t)
74.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify538.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	127	944
1	349	906
2	1516	787
done	5001	787

prune218.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.2b	(- (* x y) (* 9.0 (* t z)))
7.3b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite19.0ms

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:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
9.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* 9.0 (* t z))
57.0ms	(- (* x y) (* 9.0 (* t z)))
75.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify448.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	122	941
1	337	905
2	1295	786
done	5000	786

prune208.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(fma x y (- (* (* z 9.0) t)))
7.3b	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

7.0ms	(* (* z 9.0) t)
0.0ms	(fma x y (- (* (* z 9.0) t)))
3.0ms	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

series162.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
62.0ms	(fma x y (- (* (* z 9.0) t)))
80.0ms	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	106	766
1	245	758
2	920	632
3	3818	632
done	5000	631

prune186.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.4b

localize16.0ms

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))
5.4b	(/ (* x y) a)
6.5b	(/ (* t z) a)

rewrite26.0ms

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:

7.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
9.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* x y) a)
4.0ms	(/ (* t z) a)

series225.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
38.0ms	(* 4.5 (/ (* t z) a))
26.0ms	(/ (* x y) a)
25.0ms	(/ (* t z) a)

simplify699.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	157	1165
1	420	1114
2	1840	975
done	5000	975

prune290.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

regimes516.0ms

Accuracy

40.4% (4.6b remaining)

Error of 5.1b against oracle of 0.5b and baseline of 8.2b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	83
1	49	83
done	49	83

end0.0ms

sample720.0ms

Algorithm

intervals

Results

385.0ms

11192×

body

valid