Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

329×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	10	123
2	23	123
3	39	123
4	46	123
done	46	123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

19.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.9s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	51	5778
1	133	4893
2	569	4893
3	4580	4693
done	5000	4693

prune133.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))))

rewrite38.0ms

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:

3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
25.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (- 1.0 (* x y)))
354.0ms	(cbrt (- 1.0 (* x y)))
317.0ms	(cbrt (- 1.0 (* x y)))
317.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	146	43622
1	382	34232
2	1584	33910
done	5000	33023

prune675.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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))))

rewrite41.0ms

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×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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 → 72

Calls

4 calls:

21.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
5.0ms	(cbrt (* x (- 1.0 (* x y))))
5.0ms	(cbrt (* x (- 1.0 (* x y))))
7.0ms	(cbrt (* x (- 1.0 (* x y))))

series1.6s

Counts

4 → 12

Calls

4 calls:

386.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
396.0ms	(cbrt (* x (- 1.0 (* x y))))
375.0ms	(cbrt (* x (- 1.0 (* x y))))
415.0ms	(cbrt (* x (- 1.0 (* x y))))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	163	40595
1	453	32210
2	1995	32005
done	5000	31325

prune529.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

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))))

rewrite73.0ms

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×	`pow-sqr` `pow-prod-up` `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 → 132

Calls

4 calls:

26.0ms	(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
2.0ms	(cbrt (+ 1.0 (* x y)))
26.0ms	(* (* x y) (* x y))
10.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series892.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
277.0ms	(cbrt (+ 1.0 (* x y)))
41.0ms	(* (* x y) (* x y))
170.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify2.5s

Counts

144 → 144

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	243	72765
1	563	64479
2	2549	63509
done	5000	63189

prune846.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes188.0ms

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

sample686.0ms

Algorithm

intervals

Results

366.0ms

10766×

body

valid