Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

315×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	28	12
3	39	12
4	46	12
5	52	12
6	55	12
done	55	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.3b	(* (/ x y) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r` `associate-*l/`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

2 → 46

Calls

2 calls:

27.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
11.0ms	(* (/ x y) z)

series69.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms	(* (/ x y) z)

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	98	556
1	244	534
2	752	476
3	2776	476
done	5000	476

prune133.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
2.2b	(/ (- (+ x 4.0) (* x z)) y)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `diff-log` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `clear-num` `sum-log` `div-inv`

Counts

2 → 44

Calls

2 calls:

18.0ms	(- (+ x 4.0) (* x z))
36.0ms	(/ (- (+ x 4.0) (* x z)) y)

series71.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (+ x 4.0) (* x z))
50.0ms	(/ (- (+ x 4.0) (* x z)) y)

simplify1000.0ms

Counts

50 → 50

Iterations

Useful iterations: done (998.0ms)

Iter	Nodes	Cost
0	83	705
1	207	685
2	639	629
3	2483	629
done	5000	628

prune119.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- 4.0 (* x z)))
0.2b	(/ 1 (/ y (+ x (- 4.0 (* x z)))))
2.2b	(/ y (+ x (- 4.0 (* x z))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
97×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
17×	`distribute-lft-out`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `associate-+r+` `frac-2neg` `1-exp` `clear-num` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

3 → 145

Calls

3 calls:

6.0ms	(+ x (- 4.0 (* x z)))
14.0ms	(/ 1 (/ y (+ x (- 4.0 (* x z)))))
10.0ms	(/ y (+ x (- 4.0 (* x z))))

series124.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ x (- 4.0 (* x z)))
46.0ms	(/ 1 (/ y (+ x (- 4.0 (* x z)))))
57.0ms	(/ y (+ x (- 4.0 (* x z))))

simplify804.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	213	2854
1	482	2538
2	1467	2295
done	5000	2295

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 4.0 (* x z)) x)
0.2b	(/ 1 (* y (/ 1 (+ (- 4.0 (* x z)) x))))
0.3b	(/ 1 (+ (- 4.0 (* x z)) x))
1.9b	(* y (/ 1 (+ (- 4.0 (* x z)) x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
41×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`times-frac`
24×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
18×	`associate-r`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp`
9×	`add-log-exp`
8×	`distribute-lft-out`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*`
5×	`associate-/r*`
4×	`cbrt-unprod`
3×	`pow-flip` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`associate-+l+` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `inv-pow`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `*-commutative`

Counts

4 → 134

Calls

4 calls:

9.0ms	(+ (- 4.0 (* x z)) x)
21.0ms	(/ 1 (* y (/ 1 (+ (- 4.0 (* x z)) x))))
13.0ms	(/ 1 (+ (- 4.0 (* x z)) x))
34.0ms	(* y (/ 1 (+ (- 4.0 (* x z)) x)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (- 4.0 (* x z)) x)
42.0ms	(/ 1 (* y (/ 1 (+ (- 4.0 (* x z)) x))))
39.0ms	(/ 1 (+ (- 4.0 (* x z)) x))
62.0ms	(* y (/ 1 (+ (- 4.0 (* x z)) x)))

simplify745.0ms

Counts

146 → 146

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	192	2132
1	483	1809
2	1545	1551
done	5001	1551

prune246.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

62.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.8b

bsearch71.0ms

Steps

Iters	Range		Point
7	7.098827287593002e-142	1.0474405962160618e-139	7.438065996397021e-140
9	-6.582690336833318e+97	-4.6370901662035465e+92	-4.215108549341022e+93

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	42
1	28	42
done	28	42

end0.0ms

sample531.0ms

Algorithm

intervals

Results

310.0ms

10128×

body

valid