Details

sample96.0ms

Algorithm

intervals

Results

35.0ms	746×	body	80	nan
9.0ms	30×	body	640	valid
9.0ms	180×	body	80	valid
5.0ms	9×	body	1280	valid
4.0ms	26×	body	320	valid
1.0ms	13×	body	160	valid

simplify357.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(* x (log y))
6.4b	(log (- 1.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `log-prod`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`pow1`
5×	`add-exp-log`
4×	`associate-r` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`expm1-log1p-u` `log-div` `log-pow` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (log y))
42.0ms	(log (- 1.0 y))

simplify1.2s

Counts

51 → 51

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	116	414
1	229	392
2	687	352
3	2483	347
done	5000	345

prune146.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b	(* x (log y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
69×	`*-un-lft-identity`
67×	`add-cube-cbrt`
56×	`unpow-prod-down`
34×	`associate-+r+`
33×	`prod-diff`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
23×	`distribute-rgt-in` `distribute-lft-in`
18×	`log-prod` `unswap-sqr`
15×	`pow1`
11×	`prod-exp` `add-cbrt-cube` `add-log-exp`
9×	`div-exp`
7×	`associate--l+` `log-pow`
6×	`pow-to-exp` `associate-+l+` `associate-l` `pow-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `sum-log` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `flip3-+` `associate-*r/` `flip--` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 223

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
29.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
9.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
4.0ms	(* x (log y))

series390.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
54.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
117.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
41.0ms	(* x (log y))

simplify1.7s

Counts

235 → 235

Iterations

Useful iterations: 2 (421.0ms)

Iter	Nodes	Cost
0	444	4731
1	1028	3922
2	4062	3384
done	5000	3384

prune856.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log 1)) (fma z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (* x (log y)))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(fma z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (* x (log y)))
0.3b	(* x (log y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
56×	`unpow-prod-down`
51×	`*-un-lft-identity`
49×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
18×	`unswap-sqr`
11×	`prod-exp` `add-cbrt-cube`
9×	`pow1` `div-exp` `prod-diff` `add-log-exp`
6×	`pow-to-exp` `log-prod` `associate-l` `pow-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `fma-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `sub-neg` `flip3--` `associate-*r/` `associate--l+` `sum-log` `log-pow` `flip--` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 179

Calls

4 calls:

24.0ms	(- (+ (* x (log 1)) (fma z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (* x (log y)))) t)
30.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0ms	(fma z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (* x (log y)))
4.0ms	(* x (log y))

series625.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(- (+ (* x (log 1)) (fma z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (* x (log y)))) t)
55.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
328.0ms	(fma z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (* x (log y)))
38.0ms	(* x (log y))

simplify1.6s

Counts

191 → 191

Iterations

Useful iterations: 2 (365.0ms)

Iter	Nodes	Cost
0	369	3493
1	858	3109
2	3656	2556
done	5000	2556

prune707.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series744.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
180.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (292.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune435.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes177.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	33
1	27	33
done	27	33

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	24277×	body	80	nan
282.0ms	5613×	body	80	valid
250.0ms	860×	body	640	valid
235.0ms	398×	body	1280	valid
121.0ms	697×	body	320	valid
53.0ms	466×	body	160	valid