Details

sample57.0ms

Algorithm

intervals

Results

21.0ms

361×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	247
1	26	247
2	89	247
3	278	247
4	743	247
5	1561	247
6	2006	247
7	2120	247
8	2126	247
done	2126	247

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.4b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

18.0ms	(- (* x y) (* (* z 9.0) t))
26.0ms	(* (* z 9.0) t)
23.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series231.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* x y) (* (* z 9.0) t))
36.0ms	(* (* z 9.0) t)
126.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (410.0ms)

Iter	Nodes	Cost
0	116	15122
1	328	14250
2	1595	13770
done	5000	13770

prune351.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
6.4b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

12.0ms	(- (* x y) (* z (* 9.0 t)))
24.0ms	(* z (* 9.0 t))
23.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x y) (* z (* 9.0 t)))
20.0ms	(* z (* 9.0 t))
102.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (346.0ms)

Iter	Nodes	Cost
0	114	15082
1	316	14251
2	1276	13891
done	5000	13891

prune358.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.4b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

11.0ms	(- (* x y) (* (* z 9.0) t))
25.0ms	(* (* z 9.0) t)
29.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series201.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- (* x y) (* (* z 9.0) t))
27.0ms	(* (* z 9.0) t)
96.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts

63 → 63

Iterations

Useful iterations: 2 (421.0ms)

Iter	Nodes	Cost
0	116	15122
1	328	14250
2	1595	13770
done	5000	13770

prune282.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize27.0ms

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))
3.6b	(/ (* x y) a)
6.0b	(/ (* t z) a)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `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:

23.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
24.0ms	(* 4.5 (/ (* t z) a))
13.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

series267.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
44.0ms	(* 4.5 (/ (* t z) a))
27.0ms	(/ (* x y) a)
31.0ms	(/ (* t z) a)

simplify1.7s

Counts

95 → 95

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	144	19637
1	404	18180
2	2146	17740
done	5000	17180

prune501.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

Accuracy

21.3% (5.5b remaining)

Error of 5.9b against oracle of 0.4b and baseline of 7.4b

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	33	1070
1	41	1070
done	41	1070

end0.0ms

sample1.4s

Algorithm

intervals

Results

889.0ms

11298×

body

valid