Details

sample78.0ms

Algorithm

intervals

Results

26.0ms	287×	body	80	valid
16.0ms	255×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	101	12
4	156	12
5	206	12
6	250	12
7	363	12
8	497	12
9	624	12
10	679	12
11	680	12
done	680	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

59.0ms	(+ (- 1.0 z) (log z))
21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
113.0ms	(* y (+ (- 1.0 z) (log z)))

series485.0ms

Counts

3 → 9

Calls

3 calls:

286.0ms	(+ (- 1.0 z) (log z))
93.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
105.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: 2 (320.0ms)

Iter	Nodes	Cost
0	132	839
1	359	775
2	1203	704
done	5000	704

prune239.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* y (- 1.0 z)) (* 0.5 x))
0.1b	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* y (log z)))
0.3b	(* y (log z))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l`
5×	`associate-+l+`
4×	`sub-neg` `sum-log`
2×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

41.0ms	(* y (- 1.0 z))
30.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
109.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* y (log z)))
9.0ms	(* y (log z))

series244.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (- 1.0 z))
41.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
107.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* y (log z)))
58.0ms	(* y (log z))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	162	1113
1	407	1027
2	1326	955
done	5000	904

prune398.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 x) (* y (+ (- 1.0 z) (log (sqrt z)))))
0.1b	(+ (+ (* 0.5 x) (* y (+ (- 1.0 z) (log (sqrt z))))) (* y (log (sqrt z))))
0.1b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.3b	(* y (log (sqrt z)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod` `*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
14×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
13×	`associate-r`
12×	`pow1` `sqrt-prod`
11×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
5×	`log-pow`
4×	`sum-log` `distribute-lft-out`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 97

Calls

4 calls:

29.0ms	(+ (* 0.5 x) (* y (+ (- 1.0 z) (log (sqrt z)))))
73.0ms	(+ (+ (* 0.5 x) (* y (+ (- 1.0 z) (log (sqrt z))))) (* y (log (sqrt z))))
109.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
12.0ms	(* y (log (sqrt z)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 0.5 x) (* y (+ (- 1.0 z) (log (sqrt z)))))
160.0ms	(+ (+ (* 0.5 x) (* y (+ (- 1.0 z) (log (sqrt z))))) (* y (log (sqrt z))))
116.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
137.0ms	(* y (log (sqrt z)))

simplify1.1s

Counts

109 → 109

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	197	1756
1	529	1590
2	1662	1464
done	5000	1383

prune392.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (* 2 (log (cbrt (sqrt z))))))
0.2b	(* (log (cbrt (sqrt z))) y)
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`associate-r` `sqrt-prod`
4×	`add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 70

Calls

4 calls:

653.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (* 2 (log (cbrt (sqrt z))))))
18.0ms	(* (log (cbrt (sqrt z))) y)
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series1.0s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (* 2 (log (cbrt (sqrt z))))))
212.0ms	(* (log (cbrt (sqrt z))) y)
270.0ms	(cbrt (sqrt z))
274.0ms	(cbrt (sqrt z))

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	151	1030
1	413	992
2	1372	867
done	5000	840

prune464.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	27
1	27	27
done	27	27

end0.0ms

sample2.5s

Algorithm

intervals

Results

935.0ms	9060×	body	80	nan
744.0ms	9155×	body	80	valid