Details

sample90.0ms

Algorithm

intervals

Results

63.0ms

356×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	1711
7	1711
6	1663
5	1408
4	765
3	288
2	90
1	27
0	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize38.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
5.7b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite60.0ms

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` `insert-posit16` `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 → 65

Calls

3 calls:

28.0ms	(* (* z 9.0) t)
11.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series218.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (* z 9.0) t)
82.0ms	(- (* x y) (* (* z 9.0) t))
102.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1359
1	356
0	130

prune569.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
5.7b	(/ (- (* x y) (* 9.0 (* t z))) (* 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-l` `pow-prod-down` `insert-posit16` `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 → 65

Calls

3 calls:

13.0ms	(* 9.0 (* t z))
16.0ms	(- (* x y) (* 9.0 (* t z)))
27.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series269.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* 9.0 (* t z))
109.0ms	(- (* x y) (* 9.0 (* t z)))
119.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1335
1	340
0	125

prune444.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.5b

localize38.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 9.0 t) z)
0.3b	(- (* x y) (* (* 9.0 t) z))
5.7b	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

rewrite64.0ms

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` `insert-posit16` `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 → 65

Calls

3 calls:

14.0ms	(* (* 9.0 t) z)
8.0ms	(- (* x y) (* (* 9.0 t) z))
42.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

series621.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (* 9.0 t) z)
91.0ms	(- (* x y) (* (* 9.0 t) z))
501.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1384
1	361
0	129

prune492.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.5b

localize24.0ms

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

rewrite90.0ms

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` `insert-posit16` `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 → 97

Calls

4 calls:

37.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
24.0ms	(* 4.5 (/ (* t z) a))
17.0ms	(/ (* x y) a)
11.0ms	(/ (* t z) a)

series298.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
63.0ms	(* 4.5 (/ (* t z) a))
28.0ms	(/ (* x y) a)
40.0ms	(/ (* t z) a)

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1748
1	436
0	161

prune640.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes1.1s

Accuracy

14.6% (5.9b remaining)

Error of 6.3b against oracle of 0.4b and baseline of 7.3b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	43
1	43
0	35

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s

11156×

body

valid