Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

329×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	10	123
2	23	123
3	45	123
4	60	123
done	60	123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
3×	`pow1` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

22.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify735.0ms

Counts

35 → 35

Iterations

Useful iterations: done (733.0ms)

Iter	Nodes	Cost
0	71	8636
1	174	7751
2	721	7329
done	5000	7169

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite60.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `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 → 95

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* x y)))
9.0ms	(cbrt (- 1.0 (* x y)))
5.0ms	(cbrt (- 1.0 (* x y)))
41.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt (- 1.0 (* x y)))
383.0ms	(cbrt (- 1.0 (* x y)))
305.0ms	(cbrt (- 1.0 (* x y)))
291.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.9s

Counts

107 → 107

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	150	45646
1	397	35806
2	1597	35404
done	5001	34297

prune654.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

24.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
8.0ms	(cbrt (* x (- 1.0 (* x y))))
8.0ms	(cbrt (* x (- 1.0 (* x y))))
5.0ms	(cbrt (* x (- 1.0 (* x y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

388.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
354.0ms	(cbrt (* x (- 1.0 (* x y))))
360.0ms	(cbrt (* x (- 1.0 (* x y))))
342.0ms	(cbrt (* x (- 1.0 (* x y))))

simplify2.0s

Counts

92 → 92

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	167	42939
1	472	34016
2	2030	33851
done	5001	33064

prune586.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
0.2b	(cbrt (+ 1.0 (* x y)))
0.3b	(* (* x y) (* x y))
6.1b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

59×	`cbrt-prod`
43×	`pow1`
42×	`times-frac`
36×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`add-exp-log`
17×	`pow-prod-down`
16×	`add-cbrt-cube`
8×	`cbrt-div` `prod-exp` `cbrt-unprod` `difference-of-squares`
7×	`associate-/l*`
6×	`associate-/r*`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `pow-plus` `flip3--` `pow1/3` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 140

Calls

4 calls:

35.0ms	(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
5.0ms	(cbrt (+ 1.0 (* x y)))
48.0ms	(* (* x y) (* x y))
9.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series780.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
248.0ms	(cbrt (+ 1.0 (* x y)))
43.0ms	(* (* x y) (* x y))
165.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify2.0s

Counts

152 → 152

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	251	75187
1	588	66627
2	2662	64831
done	5000	64396

prune962.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	8	123
done	8	123

end0.0ms

sample684.0ms

Algorithm

intervals

Results

410.0ms

10766×

body

valid