Details

sample51.0ms

Algorithm

intervals

Results

21.0ms

341×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
7.1b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite83.0ms

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:

13.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (* z 9.0) t)
49.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series229.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* x y) (* (* z 9.0) t))
32.0ms	(* (* z 9.0) t)
119.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	127	944
1	352	906
2	1808	787
done	5001	787

prune293.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.1b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite81.0ms

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:

13.0ms	(- (* x y) (* z (* 9.0 t)))
25.0ms	(* z (* 9.0 t))
41.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x y) (* z (* 9.0 t)))
20.0ms	(* z (* 9.0 t))
77.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	125	941
1	341	905
2	1576	790
done	5000	786

prune223.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ (* t z) a))
5.4b	(/ (* x y) a)
5.6b	(/ (* t z) a)

rewrite90.0ms

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:

32.0ms	(* 0.5 (/ (* x y) a))
32.0ms	(* 4.5 (/ (* t z) a))
10.0ms	(/ (* x y) a)
10.0ms	(/ (* t z) a)

series134.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 0.5 (/ (* x y) a))
35.0ms	(* 4.5 (/ (* t z) a))
30.0ms	(/ (* x y) a)
34.0ms	(/ (* t z) a)

simplify1.0s

Counts

116 → 116

Iterations

Useful iterations: done (1.0s)

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

prune406.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ t (/ a z)))
5.4b	(/ (* x y) a)
5.9b	(/ t (/ a z))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 192

Calls

4 calls:

25.0ms	(* 0.5 (/ (* x y) a))
30.0ms	(* 4.5 (/ t (/ a z)))
10.0ms	(/ (* x y) a)
9.0ms	(/ t (/ a z))

series166.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 0.5 (/ (* x y) a))
53.0ms	(* 4.5 (/ t (/ a z)))
32.0ms	(/ (* x y) a)
35.0ms	(/ t (/ a z))

simplify2.0s

Counts

204 → 204

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	297	2190
1	827	2072
2	4324	1876
done	5000	1848

prune864.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes714.0ms

Accuracy

88.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.0b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	71
1	48	57
done	48	57

end0.0ms

sample1.9s

Algorithm

intervals

Results

720.0ms

11156×

body

valid