Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

364×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	38	7
4	44	7
done	44	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

11.0ms	(- 1.0 (* x y))
36.0ms	(* x (- 1.0 (* x y)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- 1.0 (* x y))
61.0ms	(* x (- 1.0 (* x y)))

simplify2.6s

Counts

42 → 42

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	59	405
1	138	397
2	374	353
3	1227	353
done	5000	353

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

47.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
7.0ms	(cbrt (- 1.0 (* x y)))
7.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

391.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
344.0ms	(cbrt (- 1.0 (* x y)))
354.0ms	(cbrt (- 1.0 (* x y)))
284.0ms	(cbrt (- 1.0 (* x y)))

simplify2.9s

Counts

99 → 99

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	148	2038
1	355	1877
2	1127	1755
3	4173	1442
done	5000	1386

prune376.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (* x y) (* x y))
4.7b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
17×	`pow-prod-down`
16×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-prod`
8×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
46.0ms	(* (* x y) (* x y))
7.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series947.0ms

Counts

4 → 12

Calls

4 calls:

383.0ms	(cbrt (- 1.0 (* x y)))
372.0ms	(cbrt (- 1.0 (* x y)))
49.0ms	(* (* x y) (* x y))
143.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify3.7s

Counts

86 → 86

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	141	1281
1	344	1141
2	1180	1007
3	4779	883
done	5000	824

prune448.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
1.1b	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
4.7b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
4.7b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

57.0ms	(* (* x y) (* x y))
102.0ms	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
13.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
12.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series808.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x y) (* x y))
400.0ms	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
179.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
187.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify1.5s

Counts

111 → 111

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	187	3008
1	521	2656
2	1795	2107
done	5000	1960

prune515.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes80.0ms

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	7
1	8	7
done	8	7

end0.0ms

sample860.0ms

Algorithm

intervals

Results

427.0ms

10554×

body

valid