Details

sample48.0ms

Algorithm

intervals

Results

23.0ms

433×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
3	27
2	24
1	15
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

42.0ms	(* x (+ 2.0 x))
14.0ms	(+ (* y y) (* x (+ 2.0 x)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* x (+ 2.0 x))
55.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify1.0s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	1272
1	234
0	72

prune201.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 2.0 x) (* x x))
0.0b	(+ (* y y) (+ (* 2.0 x) (* x x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+r+` `distribute-rgt-out`

Counts

2 → 25

Calls

2 calls:

10.0ms	(+ (* 2.0 x) (* x x))
29.0ms	(+ (* y y) (+ (* 2.0 x) (* x x)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+ (* 2.0 x) (* x x))
42.0ms	(+ (* y y) (+ (* 2.0 x) (* x x)))

simplify1.1s

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	1459
1	223
0	58

prune121.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))

rewrite52.0ms

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:

35.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
7.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
4.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
4.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
143.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
152.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
132.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1145
1	293
0	118

prune565.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
0.6b	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
0.6b	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
23.0ms	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
15.0ms	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
15.0ms	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))

series666.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
163.0ms	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
178.0ms	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
157.0ms	(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))

simplify2.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	3975
2	748
1	238
0	112

prune442.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

913.0ms

14298×

body

valid