Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

339×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	289	13
4	703	13
5	1234	13
6	1526	13
7	1561	13
done	1561	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.7b	(- (* x y) (* (* z 9.0) t))
6.7b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (* z 9.0) t)
55.0ms	(- (* x y) (* (* z 9.0) t))
67.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify846.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	127	944
1	346	906
2	1466	787
done	5000	787

prune215.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.7b	(- (* x y) (* z (* 9.0 t)))
6.7b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(* z (* 9.0 t))
3.0ms	(- (* x y) (* z (* 9.0 t)))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* z (* 9.0 t))
55.0ms	(- (* x y) (* z (* 9.0 t)))
70.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify799.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	125	941
1	342	905
2	1296	786
done	5000	786

prune197.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.8b

localize12.0ms

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))
5.1b	(/ (* x y) a)
5.2b	(/ (* t z) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `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:

7.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* x y) a)
3.0ms	(/ (* t z) a)

series176.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
22.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify674.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	157	1165
1	403	1114
2	1477	975
done	5000	975

prune284.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt 4.5) (/ (* t z) a))
0.2b	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
5.1b	(/ (* x y) a)
5.2b	(/ (* t z) a)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
38×	`add-cbrt-cube`
26×	`prod-exp` `cbrt-unprod`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
9×	`times-frac` `pow-prod-down`
8×	`associate-r`
7×	`associate-l`
6×	`associate-/r*`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`frac-2neg` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

11.0ms	(* (cbrt 4.5) (/ (* t z) a))
27.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
3.0ms	(/ (* x y) a)
3.0ms	(/ (* t z) a)

series221.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (cbrt 4.5) (/ (* t z) a))
100.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
19.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify729.0ms

Counts

124 → 124

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	164	1468
1	430	1420
2	1666	1052
done	5001	1052

prune337.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

regimes513.0ms

Accuracy

38.1% (4.4b remaining)

Error of 4.8b against oracle of 0.4b and baseline of 7.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	69
1	48	69
done	48	69

end0.0ms

sample718.0ms

Algorithm

intervals

Results

390.0ms

11090×

body

valid