Details

sample98.0ms

Algorithm

intervals

Results

34.0ms	823×	body	80	nan
11.0ms	186×	body	80	valid
7.0ms	12×	body	1280	valid
6.0ms	22×	body	640	valid
4.0ms	22×	body	320	valid
1.0ms	15×	body	160	valid

simplify214.0ms

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	235	12
done	235	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize11.0ms

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))
5.2b	(log (- 1.0 y))

rewrite41.0ms

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:

20.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
10.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series253.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
72.0ms	(* z (log (- 1.0 y)))
45.0ms	(* x (log y))
45.0ms	(log (- 1.0 y))

simplify642.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	241	1599
1	516	1423
2	1596	1232
done	5000	1232

prune353.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 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)))))))
0.0b	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b	(* x (log y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 140

Calls

3 calls:

10.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
19.0ms	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms	(* x (log y))

series281.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
113.0ms	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
40.0ms	(* x (log y))

simplify662.0ms

Counts

149 → 149

Iterations

Useful iterations: done (656.0ms)

Iter	Nodes	Cost
0	243	5034
1	475	3540
2	1435	2986
done	5000	2938

prune508.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite10.0ms

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))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series783.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (cbrt y) (cbrt y))
187.0ms	(cbrt y)
193.0ms	(cbrt y)
189.0ms	(cbrt y)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 3 (547.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune476.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.2b	(pow (/ 1 y) -1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series747.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt y) (cbrt y))
181.0ms	(cbrt y)
186.0ms	(cbrt y)
171.0ms	(pow (/ 1 y) -1/3)

simplify2.9s

Counts

114 → 114

Iterations

Useful iterations: 3 (959.0ms)

Iter	Nodes	Cost
0	141	824
1	282	652
2	871	624
3	3821	602
done	5001	602

prune539.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	45
1	39	45
done	39	45

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	24472×	body	80	nan
268.0ms	918×	body	640	valid
266.0ms	5489×	body	80	valid
238.0ms	409×	body	1280	valid
130.0ms	755×	body	320	valid
47.0ms	460×	body	160	valid