Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	300×	body	80	valid
8.0ms	293×	body	80	nan

simplify883.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	46	12
3	84	12
4	145	12
5	184	12
6	237	12
7	346	12
8	540	12
9	709	12
10	736	12
11	737	12
done	737	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

14.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series310.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(+ (- 1.0 z) (log z))
63.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify513.0ms

Counts

70 → 70

Iterations

Useful iterations: done (511.0ms)

Iter	Nodes	Cost
0	132	839
1	351	775
2	1239	704
done	5000	703

prune162.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (- z (log z)))
0.0b	(+ (* x 0.5) (* y (- 1.0 (- z (log z)))))
0.2b	(* y (- 1.0 (- z (log z))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

8.0ms	(- 1.0 (- z (log z)))
3.0ms	(+ (* x 0.5) (* y (- 1.0 (- z (log z)))))
35.0ms	(* y (- 1.0 (- z (log z))))

series309.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(- 1.0 (- z (log z)))
64.0ms	(+ (* x 0.5) (* y (- 1.0 (- z (log z)))))
79.0ms	(* y (- 1.0 (- z (log z))))

simplify431.0ms

Counts

76 → 76

Iterations

Useful iterations: done (429.0ms)

Iter	Nodes	Cost
0	132	908
1	321	845
2	1034	779
done	5001	777

prune170.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* 1.0 y) (* y (- (- z (log z))))))
0.2b	(+ (* 1.0 y) (* y (- (- z (log z)))))
0.2b	(* y (- (- z (log z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
8×	`distribute-neg-in`
7×	`pow1` `add-cube-cbrt`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`add-exp-log` `associate-+r+` `distribute-rgt-neg-out` `add-cbrt-cube`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sum-log` `distribute-lft-out--`
3×	`associate-l`
2×	`+-commutative` `associate-+r-` `flip3-+` `associate-*r/` `unsub-neg` `log-pow` `flip-+` `distribute-neg-frac` `difference-of-squares`
1×	`neg-mul-1` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

7.0ms	(+ (* x 0.5) (+ (* 1.0 y) (* y (- (- z (log z))))))
3.0ms	(+ (* 1.0 y) (* y (- (- z (log z)))))
22.0ms	(* y (- (- z (log z))))

series226.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x 0.5) (+ (* 1.0 y) (* y (- (- z (log z))))))
93.0ms	(+ (* 1.0 y) (* y (- (- z (log z)))))
70.0ms	(* y (- (- z (log z))))

simplify644.0ms

Counts

79 → 79

Iterations

Useful iterations: done (642.0ms)

Iter	Nodes	Cost
0	151	1051
1	418	900
2	1447	770
done	5000	757

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- z (log z)))
0.1b	(sqrt (- z (log z)))
0.2b	(* y (+ (sqrt 1.0) (sqrt (- z (log z)))))
0.3b	(* (* y (+ (sqrt 1.0) (sqrt (- z (log z))))) (- (sqrt 1.0) (sqrt (- z (log z)))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
17×	`pow1`
12×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `sqrt-div` `associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative`
1×	`unswap-sqr`

Counts

4 → 100

Calls

4 calls:

4.0ms	(sqrt (- z (log z)))
4.0ms	(sqrt (- z (log z)))
47.0ms	(* y (+ (sqrt 1.0) (sqrt (- z (log z)))))
85.0ms	(* (* y (+ (sqrt 1.0) (sqrt (- z (log z))))) (- (sqrt 1.0) (sqrt (- z (log z)))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (- z (log z)))
39.0ms	(sqrt (- z (log z)))
106.0ms	(* y (+ (sqrt 1.0) (sqrt (- z (log z)))))
351.0ms	(* (* y (+ (sqrt 1.0) (sqrt (- z (log z))))) (- (sqrt 1.0) (sqrt (- z (log z)))))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	340	2525
1	974	2072
2	3834	1883
done	5000	1879

prune374.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	20	15
2	23	15
3	24	15
done	24	15

end0.0ms

sample972.0ms

Algorithm

intervals

Results

339.0ms	9156×	body	80	valid
251.0ms	9113×	body	80	nan