Details

sample63.0ms

Algorithm

intervals

Results

32.0ms

474×

body

valid

simplify35.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	24	15
2	42	15
3	54	15
done	54	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.6b	(/ (* z z) (* t t))
20.8b	(/ (* x x) (* y y))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

60.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
28.0ms	(/ (* z z) (* t t))
27.0ms	(/ (* x x) (* y y))

series205.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
33.0ms	(/ (* z z) (* t t))
38.0ms	(/ (* x x) (* y y))

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	113	909
1	326	856
2	1280	664
done	5000	628

prune168.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.4b	(* (/ z t) (/ z t))
20.8b	(/ (* x x) (* y y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
10×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`div-inv` `add-log-exp`
4×	`unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `associate-/l*`

Counts

3 → 102

Calls

3 calls:

22.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
29.0ms	(* (/ z t) (/ z t))
13.0ms	(/ (* x x) (* y y))

series161.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
32.0ms	(* (/ z t) (/ z t))
28.0ms	(/ (* x x) (* y y))

simplify1.6s

Counts

111 → 111

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	182	1515
1	539	1368
2	1947	1129
done	5001	1077

prune371.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))
0.4b	(* (/ z t) (/ z t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
40×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
17×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`swap-sqr` `associate-r` `associate-l`
5×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r/` `associate-l/` `sum-log` `flip-+`

Counts

3 → 103

Calls

3 calls:

14.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
14.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
29.0ms	(* (/ z t) (/ z t))

series119.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
9.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
29.0ms	(* (/ z t) (/ z t))

simplify1.7s

Counts

112 → 112

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	155	1544
1	435	1247
2	1521	1059
done	5000	1030

prune422.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z t)) (cbrt (/ z t)))
8.9b	(cbrt (/ z t))
8.9b	(cbrt (/ z t))
8.9b	(cbrt (/ z t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

39.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
5.0ms	(cbrt (/ z t))
5.0ms	(cbrt (/ z t))
5.0ms	(cbrt (/ z t))

series338.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
71.0ms	(cbrt (/ z t))
67.0ms	(cbrt (/ z t))
103.0ms	(cbrt (/ z t))

simplify2.6s

Counts

156 → 156

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	161	1876
1	258	1747
2	664	1675
3	1328	1601
4	3149	1520
done	5000	1434

prune601.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes629.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	25
1	19	25
done	19	25

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

15369×

body

valid