Details

sample38.0ms

Algorithm

intervals

Results

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

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	52	11
3	100	11
4	183	11
5	268	11
6	349	11
7	496	11
8	739	11
9	967	11
10	1075	11
11	1082	11
done	1082	11

prune6.0ms

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-log-exp`
5×	`add-exp-log` `fma-def` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `associate-+r+` `log-prod` `associate-l` `log1p-expm1-u`
2×	`flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `difference-of-squares` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

20.0ms	(+ (- 1.0 z) (log z))
0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ (- 1.0 z) (log z))
57.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
75.0ms	(* y (+ (- 1.0 z) (log z)))

simplify506.0ms

Counts

85 → 85

Iterations

Useful iterations: done (504.0ms)

Iter	Nodes	Cost
0	136	897
1	327	826
2	1138	696
done	5000	692

prune229.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

0.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
12.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series234.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
38.0ms	(* y (- 1.0 z))
95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
38.0ms	(* y (log z))

simplify783.0ms

Counts

138 → 138

Iterations

Useful iterations: done (779.0ms)

Iter	Nodes	Cost
0	218	1876
1	469	1431
2	1566	1184
done	5000	1126

prune369.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
41×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
37×	`add-cube-cbrt`
34×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
18×	`pow1`
13×	`log-pow`
12×	`log-prod` `associate--l+`
6×	`associate-r`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`associate-*r/` `distribute-lft-out--`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `fma-udef` `difference-of-squares` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

0.0ms	(fma x 0.5 (+ (* 1.0 y) (* y (- (log z) z))))
8.0ms	(+ (* 1.0 y) (* y (- (log z) z)))
15.0ms	(* y (- (log z) z))

series230.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma x 0.5 (+ (* 1.0 y) (* y (- (log z) z))))
95.0ms	(+ (* 1.0 y) (* y (- (log z) z)))
72.0ms	(* y (- (log z) z))

simplify788.0ms

Counts

126 → 126

Iterations

Useful iterations: done (784.0ms)

Iter	Nodes	Cost
0	212	2072
1	463	1623
2	1456	1289
done	5002	1236

prune454.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (- z (log z)))
0.0b	(fma x 0.5 (+ (* y (- 1.0 (- z (log z)))) (* y (fma (- z) 1 (* z 1)))))
0.2b	(* y (- 1.0 (- z (log z))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
66×	`prod-diff`
64×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
28×	`distribute-lft-out--`
21×	`distribute-rgt-in` `distribute-lft-in`
19×	`pow1`
14×	`log-pow` `associate--r+`
11×	`difference-of-squares`
7×	`associate-r` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`sub-neg`
3×	`expm1-log1p-u` `fma-neg` `diff-log` `associate-l` `log1p-expm1-u` `associate--r-`
2×	`flip3--` `associate-*r/` `flip--`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 133

Calls

3 calls:

13.0ms	(- 1.0 (- z (log z)))
0.0ms	(fma x 0.5 (+ (* y (- 1.0 (- z (log z)))) (* y (fma (- z) 1 (* z 1)))))
41.0ms	(* y (- 1.0 (- z (log z))))

series828.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(- 1.0 (- z (log z)))
594.0ms	(fma x 0.5 (+ (* y (- 1.0 (- z (log z)))) (* y (fma (- z) 1 (* z 1)))))
74.0ms	(* y (- 1.0 (- z (log z))))

simplify666.0ms

Counts

142 → 142

Iterations

Useful iterations: done (661.0ms)

Iter	Nodes	Cost
0	223	3252
1	453	2536
2	1422	2164
done	5000	2047

prune281.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	22	19
2	27	19
done	27	19

end0.0ms

sample973.0ms

Algorithm

intervals

Results

332.0ms	9156×	body	80	valid
265.0ms	9113×	body	80	nan