Details

sample39.0ms

Algorithm

intervals

Results

25.0ms

329×

body

valid

simplify113.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	115
6	115
5	111
4	98
3	65
2	31
1	12
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 47

Calls

1 calls:

39.0ms

(* (* x y) (- 1.0 y))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* (* x y) (- 1.0 y))

simplify2.3s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	3492
2	862
1	336
0	111

prune91.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b	(* (* x y) (- y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 47

Calls

2 calls:

17.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
26.0ms	(* (* x y) (- y))

series186.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
53.0ms	(* (* x y) (- y))

simplify1.7s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
2	986
1	268
0	87

prune201.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 105

Calls

4 calls:

166.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
18.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
23.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
29.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

series863.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
222.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
223.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
193.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1357
1	484
0	186

prune676.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (* (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 90

Calls

4 calls:

12.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
24.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
22.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
198.0ms	(cbrt (* (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))))

series909.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
240.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
236.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
216.0ms	(cbrt (* (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))))

simplify2.8s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
3	3631
2	944
1	389
0	195

prune774.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	24
3	24
2	18
1	14
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

825.0ms

10580×

body

valid