Details

sample114.0ms

Algorithm

intervals

Results

58.0ms

458×

body

valid

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
5	106
4	105
3	82
2	48
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))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite192.0ms

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))
35.0ms	(+ (+ (* x y) (* z t)) (* a b))
150.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series486.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* x y) (* z t))
64.0ms	(+ (+ (* x y) (* z t)) (* a b))
367.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	1570
1	277
0	84

prune392.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite751.0ms

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:

539.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
74.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
60.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
75.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series750.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
169.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
198.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
152.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1147
1	304
0	121

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.6b	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div`
14×	`flip3-+` `flip-+`
8×	`cbrt-prod` `frac-times`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

55.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
47.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
158.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
152.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series795.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
205.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
226.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
196.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
3	3080
2	690
1	252
0	116

prune833.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.3b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite767.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`sum-log` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
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` `associate-+l+` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

110.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
103.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
123.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
428.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series12.0s

Counts

4 → 12

Calls

4 calls:

289.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.3s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
335.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify1.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1924
1	363
0	144

prune759.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes1.7s

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

sample2.7s

Algorithm

intervals

Results

1.3s

13628×

body

valid