Details

sample66.0ms

Algorithm

intervals

Results

31.0ms

426×

body

valid

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
5	106
4	105
3	82
2	48
1	26
0	15

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite176.0ms

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:

6.0ms	(+ (* x y) (* z t))
123.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
45.0ms	(+ (+ (* x y) (* z t)) (* a b))

series413.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* x y) (* z t))
274.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
71.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify833.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1605
1	281
0	84

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
0.5b	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
0.5b	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
0.5b	(* (cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b))) (cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b))))

rewrite807.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

84.0ms	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
70.0ms	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
58.0ms	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
590.0ms	(* (cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b))) (cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b))))

series731.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
168.0ms	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
169.0ms	(cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
232.0ms	(* (cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b))) (cbrt (+ (+ (+ (* z t) (* x y)) (* i c)) (* a b))))

simplify648.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1087
1	304
0	121

prune816.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ (* z t) (* x y))) (sqrt (+ (* z t) (* x y)))) (* a b))
0.2b	(* (sqrt (+ (* z t) (* x y))) (sqrt (+ (* z t) (* x y))))
0.6b	(sqrt (+ (* z t) (* x y)))
0.6b	(sqrt (+ (* z t) (* x y)))

rewrite110.0ms

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:

41.0ms	(+ (* (sqrt (+ (* z t) (* x y))) (sqrt (+ (* z t) (* x y)))) (* a b))
36.0ms	(* (sqrt (+ (* z t) (* x y))) (sqrt (+ (* z t) (* x y))))
16.0ms	(sqrt (+ (* z t) (* x y)))
12.0ms	(sqrt (+ (* z t) (* x y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* (sqrt (+ (* z t) (* x y))) (sqrt (+ (* z t) (* x y)))) (* a b))
63.0ms	(* (sqrt (+ (* z t) (* x y))) (sqrt (+ (* z t) (* x y))))
109.0ms	(sqrt (+ (* z t) (* x y)))
82.0ms	(sqrt (+ (* z t) (* x y)))

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1659
1	326
0	122

prune641.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
3.1b	(* (* a (* a b)) b)
5.9b	(- (* (+ (* z t) (+ (* i c) (* x y))) (+ (* z t) (+ (* i c) (* x y)))) (* (* a (* a b)) b))
36.3b	(cbrt (- (* (+ (* z t) (+ (* i c) (* x y))) (+ (* z t) (+ (* i c) (* x y)))) (* (* a (* a b)) b)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-div`
3×	`flip3--` `associate-r` `flip--`
2×	`pow1/3` `associate--l+`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

71.0ms	(cbrt (- (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
59.0ms	(* (* a (* a b)) b)
58.0ms	(- (* (+ (* z t) (+ (* i c) (* x y))) (+ (* z t) (+ (* i c) (* x y)))) (* (* a (* a b)) b))
73.0ms	(cbrt (- (* (+ (* z t) (+ (* i c) (* x y))) (+ (* z t) (+ (* i c) (* x y)))) (* (* a (* a b)) b)))

series2.6m

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (- (+ (+ (* z t) (* x y)) (* i c)) (* a b)))
71.0ms	(* (* a (* a b)) b)
2.6m	(- (* (+ (* z t) (+ (* i c) (* x y))) (+ (* z t) (+ (* i c) (* x y)))) (* (* a (* a b)) b))
550.0ms	(cbrt (- (* (+ (* z t) (+ (* i c) (* x y))) (+ (* z t) (+ (* i c) (* x y)))) (* (* a (* a b)) b)))

simplify1.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	2924
1	474
0	173

prune897.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.2s

13625×

body

valid