Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

361×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	247
1	27	247
2	90	247
3	289	247
4	779	247
5	1670	247
6	2265	247
7	2422	247
8	2434	247
done	2434	247

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize38.0ms

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))

rewrite56.0ms

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×	`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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

7.0ms	(- (* x y) (* (* z 9.0) t))
15.0ms	(* (* z 9.0) t)
32.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series239.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(- (* x y) (* (* z 9.0) t))
25.0ms	(* (* z 9.0) t)
101.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: 2 (468.0ms)

Iter	Nodes	Cost
0	127	17073
1	352	16086
2	1770	15591
done	5001	15591

prune616.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize33.0ms

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))

rewrite58.0ms

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×	`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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

14.0ms	(- (* x y) (* z (* 9.0 t)))
18.0ms	(* z (* 9.0 t))
23.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series227.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x y) (* z (* 9.0 t)))
35.0ms	(* z (* 9.0 t))
123.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify2.0s

Counts

71 → 71

Iterations

Useful iterations: 2 (497.0ms)

Iter	Nodes	Cost
0	125	17033
1	341	16102
2	1576	15592
done	5000	15592

prune519.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize25.0ms

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))

rewrite65.0ms

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×	`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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

13.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(* (* z 9.0) t)
25.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series237.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(* (* z 9.0) t)
125.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.9s

Counts

71 → 71

Iterations

Useful iterations: 2 (476.0ms)

Iter	Nodes	Cost
0	127	17073
1	352	16086
2	1770	15591
done	5001	15591

prune544.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.4b

localize46.0ms

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)

rewrite70.0ms

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/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `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:

19.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
19.0ms	(* 4.5 (/ (* t z) a))
14.0ms	(/ (* x y) a)
15.0ms	(/ (* t z) a)

series351.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
52.0ms	(* 4.5 (/ (* t z) a))
34.0ms	(/ (* x y) a)
28.0ms	(/ (* t z) a)

simplify1.6s

Counts

105 → 105

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	157	22116
1	433	20609
2	2262	20099
done	5000	19579

prune646.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

44% (3.9b remaining)

Error of 4.3b against oracle of 0.4b and baseline of 7.4b

bsearch2.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	31	911
1	39	911
done	39	911

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

11298×

body

valid