Details

sample52.0ms

Algorithm

intervals

Results

19.0ms

361×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize31.0ms

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))

rewrite63.0ms

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))
28.0ms	(* (* z 9.0) t)
19.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series274.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(- (* x y) (* (* z 9.0) t))
41.0ms	(* (* z 9.0) t)
121.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1770
1	352
0	127

prune632.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize34.0ms

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))

rewrite59.0ms

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:

7.0ms	(- (* x y) (* z (* 9.0 t)))
13.0ms	(* z (* 9.0 t))
38.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series224.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* x y) (* z (* 9.0 t)))
28.0ms	(* z (* 9.0 t))
104.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1576
1	341
0	125

prune509.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize23.0ms

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))

rewrite57.0ms

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

series227.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (* x y) (* (* z 9.0) t))
26.0ms	(* (* z 9.0) t)
106.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1770
1	352
0	127

prune608.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize29.0ms

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)

rewrite92.0ms

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:

28.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms	(* 4.5 (/ (* t z) a))
15.0ms	(/ (* x y) a)
15.0ms	(/ (* t z) a)

series382.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
66.0ms	(* 4.5 (/ (* t z) a))
29.0ms	(/ (* x y) a)
54.0ms	(/ (* t z) a)

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2262
1	433
0	157

prune703.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes1.4s

Accuracy

19.7% (5.6b remaining)

Error of 6.1b against oracle of 0.4b and baseline of 7.4b

bsearch210.0ms

Steps

Iters	Range		Point
8	64260609.3427585	2139574435580.4946	819283338.3549674
9	-5.471080099783974e+29	-1.0087594210629803e+24	-9.31236613093365e+24

simplify15.0ms

Iterations

Iter	Nodes
done	47
1	47
0	36

end0.0ms

sample1.7s

Algorithm

intervals

Results

726.0ms

11298×

body

valid