Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

335×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	34	164
3	84	164
4	171	164
5	387	164
6	872	164
7	1716	164
8	2662	164
done	5002	164

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

34.0ms	(* (- 1.0 y) z)
32.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* (- 1.0 y) z)
68.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.8s

Counts

52 → 52

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	93	10470
1	226	9686
2	680	9366
3	3178	9246
done	5001	9246

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 1.0 x))
0.0b	(+ (* 1.0 x) (* z (- (* x y) (* 1.0 x))))
2.5b	(* z (- (* x y) (* 1.0 x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

6.0ms	(- (* x y) (* 1.0 x))
8.0ms	(+ (* 1.0 x) (* z (- (* x y) (* 1.0 x))))
41.0ms	(* z (- (* x y) (* 1.0 x)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* x y) (* 1.0 x))
93.0ms	(+ (* 1.0 x) (* z (- (* x y) (* 1.0 x))))
83.0ms	(* z (- (* x y) (* 1.0 x)))

simplify3.9s

Counts

60 → 60

Iterations

Useful iterations: 2 (234.0ms)

Iter	Nodes	Cost
0	85	14660
1	244	13506
2	763	11786
3	3412	11786
done	5000	11786

prune377.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.4b	(* (cbrt z) (- (* x y) (* 1.0 x)))
1.4b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (* x y) (* 1.0 x))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
33.0ms	(* (cbrt z) (- (* x y) (* 1.0 x)))
67.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (* x y) (* 1.0 x))))

series885.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt z)
239.0ms	(cbrt z)
265.0ms	(* (cbrt z) (- (* x y) (* 1.0 x)))
143.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (* x y) (* 1.0 x))))

simplify2.3s

Counts

94 → 94

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	118	30070
1	350	28010
2	1310	25812
done	5001	19252

prune466.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 x) (+ (* y (* x z)) (* (- (* x z)) 1.0)))
0.0b	(+ (* y (* x z)) (* (- (* x z)) 1.0))
3.1b	(* y (* x z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`distribute-lft-neg-out` `add-sqr-sqrt` `sum-log` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `flip-+`
1×	`associate-+r+` `associate-r` `*-commutative`

Counts

3 → 46

Calls

3 calls:

46.0ms	(+ (* 1.0 x) (+ (* y (* x z)) (* (- (* x z)) 1.0)))
12.0ms	(+ (* y (* x z)) (* (- (* x z)) 1.0))
12.0ms	(* y (* x z))

series163.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ (* 1.0 x) (+ (* y (* x z)) (* (- (* x z)) 1.0)))
59.0ms	(+ (* y (* x z)) (* (- (* x z)) 1.0))
27.0ms	(* y (* x z))

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	88	13491
1	273	11359
2	1102	9919
done	5000	9799

prune213.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes394.0ms

Accuracy

73.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch80.0ms

Steps

Iters	Range		Point
5	5.1153968503507004e-176	1.1463544159200915e-175	6.0001871772657174e-176
9	-3.250703450591813e-191	-4.6252954454033745e-196	-1.7726700886292986e-191

simplify13.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	706
1	39	706
2	45	706
3	46	706
done	46	706

end0.0ms

sample859.0ms

Algorithm

intervals

Results

514.0ms

10162×

body

valid