Details

sample56.0ms

Algorithm

intervals

Results

26.0ms

371×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	1597
8	1597
7	1569
6	1531
5	1250
4	720
3	283
2	88
1	27
0	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.7b	(/ (- (* 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×	`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:

20.0ms	(* (* z 9.0) t)
10.0ms	(- (* x y) (* (* z 9.0) t))
31.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series177.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (* z 9.0) t)
58.0ms	(- (* x y) (* (* z 9.0) t))
93.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
2	1256
1	352
0	127

prune437.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.8b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity` `add-cbrt-cube`
18×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`prod-exp`
10×	`pow1`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `associate-l/` `associate-r/` `flip--`

Counts

3 → 94

Calls

3 calls:

13.0ms	(* (* z 9.0) t)
6.0ms	(- (* x y) (* (* z 9.0) t))
30.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series279.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (* z 9.0) t)
79.0ms	(- (* x y) (* (* z 9.0) t))
168.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1724
1	535
0	190

prune615.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.8b

localize28.0ms

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))
5.7b	(/ (* x y) a)
7.1b	(/ (* t z) a)

rewrite57.0ms

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:

18.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
20.0ms	(* 4.5 (/ (* t z) a))
10.0ms	(/ (* x y) a)
7.0ms	(/ (* t z) a)

series242.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
48.0ms	(* 4.5 (/ (* t z) a))
28.0ms	(/ (* x y) a)
23.0ms	(/ (* t z) a)

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1740
1	430
0	157

prune685.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.5b	(/ x (/ a y))
7.1b	(/ (* t z) a)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
53×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
6×	`pow1` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`associate-l` `associate-*r/`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-/r/` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

25.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
14.0ms	(/ x (/ a y))
12.0ms	(/ (* t z) a)

series234.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
42.0ms	(* 4.5 (/ (* t z) a))
34.0ms	(/ x (/ a y))
39.0ms	(/ (* t z) a)

simplify1.4s

Counts

153 → 153

Iterations

Iter	Nodes
done	5006
2	2394
1	688
0	263

prune985.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

88.6% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 8.3b

bsearch3.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	49
1	49
0	37

end0.0ms

sample1.5s

Algorithm

intervals

Results

882.0ms

11133×

body

valid