Details

sample103.0ms

Algorithm

intervals

Results

36.0ms	741×	body	80	nan
10.0ms	32×	body	640	valid
9.0ms	169×	body	80	valid
9.0ms	15×	body	1280	valid
4.0ms	22×	body	320	valid
2.0ms	19×	body	160	valid

simplify368.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	13
1	22	12
2	37	12
3	47	12
4	55	12
5	72	12
6	108	12
7	181	12
8	250	12
9	299	12
10	332	12
11	342	12
done	342	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.7b	(log (- 1.0 y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`log-prod`
20×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `prod-diff` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 106

Calls

4 calls:

22.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series234.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
62.0ms	(* z (log (- 1.0 y)))
43.0ms	(* x (log y))
43.0ms	(log (- 1.0 y))

simplify628.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	241	1599
1	536	1423
2	1846	1228
done	5000	1228

prune344.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
0.0b	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.2b	(* x (log y))
7.4b	(* z (pow y 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`associate-r`
11×	`add-exp-log`
9×	`prod-diff` `add-log-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`log-prod` `associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `fma-neg`
2×	`diff-log` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-prod-down` `pow-exp` `associate--l+` `sum-log` `log-pow` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

23.0ms	(- (+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
0.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

series355.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(- (+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
106.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
36.0ms	(* x (log y))
32.0ms	(* z (pow y 2))

simplify789.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	192	2141
1	398	1974
2	1437	1709
done	5000	1709

prune442.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
0.0b	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.2b	(fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
7.4b	(* z (pow y 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`add-exp-log` `prod-diff`
8×	`associate-r`
6×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `associate-l` `prod-exp` `fma-udef`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

3.0ms	(- (fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
0.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0ms	(fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
6.0ms	(* z (pow y 2))

series439.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(- (fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
106.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
121.0ms	(fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
29.0ms	(* z (pow y 2))

simplify531.0ms

Counts

90 → 90

Iterations

Useful iterations: done (528.0ms)

Iter	Nodes	Cost
0	144	2223
1	305	2056
2	1071	1811
done	5000	1734

prune409.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ (* 1.0 y) (* 0.5 (pow y 2))))
0.0b	(- (fma x (log y) (fma z (log 1.0) (- (* z (+ (* 1.0 y) (* 0.5 (pow y 2))))))) t)
0.2b	(fma x (log y) (fma z (log 1.0) (- (* z (+ (* 1.0 y) (* 0.5 (pow y 2)))))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`prod-diff`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `associate-l` `log1p-expm1-u`
2×	`associate-*r/` `fma-udef`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

8.0ms	(* z (+ (* 1.0 y) (* 0.5 (pow y 2))))
3.0ms	(- (fma x (log y) (fma z (log 1.0) (- (* z (+ (* 1.0 y) (* 0.5 (pow y 2))))))) t)
0.0ms	(fma x (log y) (fma z (log 1.0) (- (* z (+ (* 1.0 y) (* 0.5 (pow y 2)))))))

series361.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* z (+ (* 1.0 y) (* 0.5 (pow y 2))))
162.0ms	(- (fma x (log y) (fma z (log 1.0) (- (* z (+ (* 1.0 y) (* 0.5 (pow y 2))))))) t)
112.0ms	(fma x (log y) (fma z (log 1.0) (- (* z (+ (* 1.0 y) (* 0.5 (pow y 2)))))))

simplify530.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	129	1862
1	336	1633
2	1343	1339
done	5000	1339

prune285.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	26
1	31	26
2	37	26
3	49	26
done	49	26

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	24144×	body	80	nan
283.0ms	5529×	body	80	valid
270.0ms	904×	body	640	valid
245.0ms	411×	body	1280	valid
130.0ms	736×	body	320	valid
49.0ms	444×	body	160	valid