Details

sample57.0ms

Algorithm

intervals

Results

33.0ms

516×

body

valid

simplify28.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
22.0b	(/ (* x x) (* y y))
23.3b	(/ (* z z) (* t t))

rewrite87.0ms

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:

36.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
14.0ms	(/ (* x x) (* y y))
36.0ms	(/ (* z z) (* t t))

series193.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
34.0ms	(/ (* x x) (* y y))
37.0ms	(/ (* z z) (* t t))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

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

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
22.0b	(/ (* x x) (* y y))

rewrite92.0ms

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:

30.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
37.0ms	(* (/ z t) (/ z t))
19.0ms	(/ (* x x) (* y y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
41.0ms	(* (/ z t) (/ z t))
38.0ms	(/ (* x x) (* y y))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

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

prune355.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 154

Calls

3 calls:

24.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
45.0ms	(* (/ x y) (/ x y))
39.0ms	(* (/ z t) (/ z t))

series193.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
46.0ms	(* (/ x y) (/ x y))
40.0ms	(* (/ z t) (/ z t))

simplify1.9s

Counts

163 → 163

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	255	2208
1	765	1967
2	2686	1685
done	5000	1637

prune419.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
21.1b	(cbrt (* (/ z t) (/ z t)))
21.1b	(cbrt (* (/ z t) (/ z t)))
21.1b	(cbrt (* (/ z t) (/ z t)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

19.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
13.0ms	(cbrt (* (/ z t) (/ z t)))
15.0ms	(cbrt (* (/ z t) (/ z t)))
16.0ms	(cbrt (* (/ z t) (/ z t)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
108.0ms	(cbrt (* (/ z t) (/ z t)))
116.0ms	(cbrt (* (/ z t) (/ z t)))
125.0ms	(cbrt (* (/ z t) (/ z t)))

simplify2.4s

Counts

97 → 97

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	112	1432
1	195	1309
2	465	1159
3	1154	1054
4	3269	1032
done	5000	778

prune350.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes675.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	14	34
done	14	34

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

15582×

body

valid