Details

sample105.0ms

Algorithm

intervals

Results

38.0ms	823×	body	80	nan
12.0ms	186×	body	80	valid
7.0ms	12×	body	1280	valid
7.0ms	22×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify195.0ms

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	103	12
7	149	12
8	189	12
9	212	12
10	233	12
11	237	12
done	237	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(fma x (log y) (* z (log (- 1.0 y))))
5.2b	(log (- 1.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

3.0ms	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
0.0ms	(fma x (log y) (* z (log (- 1.0 y))))
3.0ms	(log (- 1.0 y))

series270.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
63.0ms	(* z (log (- 1.0 y)))
78.0ms	(fma x (log y) (* z (log (- 1.0 y))))
45.0ms	(log (- 1.0 y))

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: 3 (620.0ms)

Iter	Nodes	Cost
0	204	1528
1	454	1378
2	1129	1217
3	3279	1111
done	5001	1111

prune308.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.2b	(fma x (log y) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
8.5b	(* z (pow y 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate--l+`
16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
8×	`add-exp-log` `associate-r`
6×	`log-prod`
5×	`pow1` `add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `associate-*r/` `unswap-sqr`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `prod-exp` `log1p-expm1-u`
2×	`flip3--` `log-pow` `frac-sub` `flip--` `unpow2` `sqr-pow`
1×	`pow-to-exp` `fma-neg` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

3 → 75

Calls

3 calls:

9.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0ms	(fma x (log y) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
6.0ms	(* z (pow y 2))

series250.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
123.0ms	(fma x (log y) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
28.0ms	(* z (pow y 2))

simplify587.0ms

Counts

84 → 84

Iterations

Useful iterations: done (585.0ms)

Iter	Nodes	Cost
0	161	1630
1	394	1526
2	1282	1377
done	5001	1357

prune377.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* -1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
8.5b	(* z (pow y 2))
8.5b	(* z (pow y 2))
8.5b	(* z (pow y 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`associate-r`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`associate-l` `prod-exp`
6×	`unpow2` `sqr-pow`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`pow1/3`

Counts

4 → 100

Calls

4 calls:

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

series945.0ms

Counts

4 → 12

Calls

4 calls:

855.0ms	(cbrt (fma x (log y) (fma z (- (log 1.0) (* 1.0 y)) (* -1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
28.0ms	(* z (pow y 2))
33.0ms	(* z (pow y 2))
29.0ms	(* z (pow y 2))

simplify964.0ms

Counts

112 → 112

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	121	1263
1	256	1188
2	644	1037
3	1692	1027
done	5001	1026

prune592.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

8.5b	(* z (pow y 2))
8.5b	(* z (pow y 2))
8.5b	(* z (pow y 2))
8.5b	(* z (pow y 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
16×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
12×	`associate-l` `prod-exp` `add-cbrt-cube`
8×	`unpow2` `sqr-pow`
4×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

9.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series122.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* z (pow y 2))
34.0ms	(* z (pow y 2))
29.0ms	(* z (pow y 2))
30.0ms	(* z (pow y 2))

simplify2.9s

Counts

128 → 128

Iterations

Useful iterations: 4 (844.0ms)

Iter	Nodes	Cost
0	53	976
1	110	884
2	280	752
3	697	752
4	3188	740
done	5000	740

prune693.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	26
1	24	26
done	24	26

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.2s	24472×	body	80	nan
311.0ms	5489×	body	80	valid
294.0ms	918×	body	640	valid
254.0ms	409×	body	1280	valid
146.0ms	755×	body	320	valid
54.0ms	460×	body	160	valid