Details

sample82.0ms

Algorithm

intervals

Results

35.0ms

462×

body

valid

simplify83.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	84
4	84
3	73
2	46
1	26
0	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

127.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
19.0ms	(+ (* x y) (* z t))
22.0ms	(+ (+ (* x y) (* z t)) (* a b))

series413.0ms

Counts

3 → 9

Calls

3 calls:

270.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
49.0ms	(+ (* x y) (* z t))
94.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify1.5s

Counts

47 → 47

Iterations

Iter	Nodes
done	5009
2	1345
1	275
0	84

prune455.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`sum-log` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `associate-+l+` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

40.0ms	(+ (+ (* x y) (* z t)) (* a b))
31.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
36.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
174.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series1.4s

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (+ (* x y) (* z t)) (* a b))
634.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
592.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
98.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify1.3s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	1081
1	315
0	126

prune924.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.2b	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.2b	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.3b	(* (cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-div` `sqrt-div`
11×	`pow1` `swap-sqr`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

14.0ms	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
14.0ms	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
14.0ms	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
137.0ms	(* (cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))

series719.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
165.0ms	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
188.0ms	(cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
174.0ms	(* (cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))

simplify2.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
3	1966
2	715
1	294
0	129

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

16.0ms	(+ (* x y) (* z t))
63.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
6.0ms	(sqrt (+ (* x y) (* z t)))
7.0ms	(sqrt (+ (* x y) (* z t)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* x y) (* z t))
55.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
112.0ms	(sqrt (+ (* x y) (* z t)))
115.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
3	2658
2	718
1	262
0	106

prune893.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s

13719×

body

valid