Details

sample22.0ms

Algorithm

intervals

Results

13.0ms

348×

body

valid

simplify27.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

17.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify2.3s

Counts

27 → 27

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	51	273
1	122	270
2	332	236
3	1181	236
done	5000	236

prune94.0ms

Pruning

7 alts after pruning (6 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))) (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)))

rewrite91.0ms

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:

67.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
7.0ms	(cbrt (- 1.0 (* x y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

356.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
377.0ms	(cbrt (- 1.0 (* x y)))
366.0ms	(cbrt (- 1.0 (* x y)))
368.0ms	(cbrt (- 1.0 (* x y)))

simplify2.8s

Counts

99 → 99

Iterations

Useful iterations: done (2.8s)

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

prune500.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
1.6b	(/ (* (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)))))
5.4b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
5.4b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite161.0ms

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:

48.0ms	(* (* x y) (* x y))
84.0ms	(/ (* (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)))))
11.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
14.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series825.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* x y) (* x y))
449.0ms	(/ (* (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)))))
149.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
171.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

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

prune977.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* x y) (* x y))
0.8b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
5.9b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-sqr` `pow-prod-up`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`pow2` `frac-2neg` `flip3-+` `swap-sqr` `clear-num` `flip-+` `div-inv` `associate-/l*` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

28.0ms	(* (* x y) (* x y))
38.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
27.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series351.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (* x y) (* x y))
132.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
159.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	131	1465
1	368	1337
2	1506	1085
done	5000	941

prune225.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample754.0ms

Algorithm

intervals

Results

451.0ms

10660×

body

valid