Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	28	12
3	43	12
4	50	12
5	56	12
6	61	12
7	63	12
done	63	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
34×	`times-frac`
31×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
7×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
4×	`pow1` `add-log-exp`
3×	`associate-r` `associate-*l/` `div-inv`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div`

Counts

2 → 82

Calls

2 calls:

34.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms	(* (/ x y) z)

series65.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify2.4s

Counts

88 → 88

Iterations

Useful iterations: 3 (521.0ms)

Iter	Nodes	Cost
0	142	1182
1	333	1148
2	1123	1028
3	4822	955
done	5000	955

prune210.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `diff-log` `flip--` `log1p-expm1-u` `associate-/l/` `distribute-lft-out`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `clear-num` `sum-log` `div-inv`

Counts

2 → 56

Calls

2 calls:

22.0ms	(- (+ x 4.0) (* x z))
38.0ms	(/ (- (+ x 4.0) (* x z)) y)

series68.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (+ x 4.0) (* x z))
48.0ms	(/ (- (+ x 4.0) (* x z)) y)

simplify1.5s

Counts

62 → 62

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	97	834
1	232	809
2	779	737
3	3571	729
done	5001	724

prune145.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
61×	`*-un-lft-identity`
57×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-/r*`
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` `fma-neg` `prod-diff`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `distribute-lft-out`
1×	`sub-neg` `pow-flip` `associate--l+` `sum-log` `inv-pow`

Counts

3 → 141

Calls

3 calls:

22.0ms	(- (+ x 4.0) (* x z))
24.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
17.0ms	(/ y (- (+ x 4.0) (* x z)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (+ x 4.0) (* x z))
41.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
58.0ms	(/ y (- (+ x 4.0) (* x z)))

simplify1.2s

Counts

150 → 150

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	229	2752
1	532	2543
2	2079	2249
done	5000	2249

prune278.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
43×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
29×	`times-frac`
26×	`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-+l+` `associate-/r*`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`pow-flip` `fma-def` `flip3-+` `associate-l` `prod-diff` `flip-+` `div-inv` `unswap-sqr`
2×	`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 → 148

Calls

4 calls:

11.0ms	(+ (- 4.0 (* x z)) x)
21.0ms	(/ 1 (* y (/ 1 (+ (- 4.0 (* x z)) x))))
15.0ms	(/ 1 (+ (- 4.0 (* x z)) x))
32.0ms	(* y (/ 1 (+ (- 4.0 (* x z)) x)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (- 4.0 (* x z)) x)
43.0ms	(/ 1 (* y (/ 1 (+ (- 4.0 (* x z)) x))))
35.0ms	(/ 1 (+ (- 4.0 (* x z)) x))
58.0ms	(* y (/ 1 (+ (- 4.0 (* x z)) x)))

simplify1.1s

Counts

160 → 160

Iterations

Useful iterations: 2 (196.0ms)

Iter	Nodes	Cost
0	204	2247
1	524	1956
2	2003	1642
done	5000	1642

prune283.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

75.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.3b

bsearch48.0ms

Steps

Iters	Range		Point
7	7.098827287593002e-142	1.0474405962160618e-139	7.438065996397021e-140
4	-4.2782436650216614e+117	-2.345612917148945e+117	-2.4444603965533054e+117

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	42
1	26	31
done	26	31

end0.0ms

sample497.0ms

Algorithm

intervals

Results

289.0ms

10128×

body

valid