Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

352×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	88	13
3	276	13
4	671	13
5	1183	13
6	1410	13
7	1435	13
done	1435	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
5.4b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

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×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

6.0ms	(* (* z 9.0) t)
2.0ms	(- (* x y) (* (* z 9.0) t))
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
64.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify467.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	116	858
1	329	827
2	1366	711
done	5000	711

prune161.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(- (* x y) (* 9.0 (* t z)))
5.4b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite18.0ms

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×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
8.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 9.0 (* t z))
55.0ms	(- (* x y) (* 9.0 (* t z)))
67.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.7s

Counts

63 → 63

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	111	855
1	312	826
2	1151	710
3	4947	710
done	5000	710

prune145.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.4b

localize13.0ms

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))
4.9b	(/ (* t z) a)
6.0b	(/ (* x y) a)

rewrite23.0ms

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/`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* t z) a)
3.0ms	(/ (* x y) a)

series172.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* t z) a)
19.0ms	(/ (* x y) a)

simplify558.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	144	1055
1	396	1008
2	1782	874
done	5000	874

prune231.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(- (* x y) (* 9.0 (* t z)))
5.4b	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1`
9×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
6×	`associate-l`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down`
3×	`flip3--` `times-frac` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `diff-log` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
19.0ms	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 9.0 (* t z))
55.0ms	(- (* x y) (* 9.0 (* t z)))
66.0ms	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

simplify622.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	139	1144
1	378	1043
2	1529	881
done	5001	881

prune161.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.8b

regimes406.0ms

Accuracy

50.1% (3.6b remaining)

Error of 4.0b against oracle of 0.5b and baseline of 7.6b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	85
1	55	85
done	55	85

end0.0ms

sample710.0ms

Algorithm

intervals

Results

382.0ms

11185×

body

valid