Details

sample97.0ms

Algorithm

intervals

Results

36.0ms	746×	body	80	nan
10.0ms	193×	body	80	valid
9.0ms	28×	body	640	valid
4.0ms	21×	body	320	valid
3.0ms	5×	body	1280	valid
1.0ms	11×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	48	17
3	86	17
4	190	17
5	413	17
6	953	17
7	1987	17
8	2567	17
9	2668	17
done	2668	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- x 1.0) (log y))
6.4b	(log (- 1.0 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

13.0ms	(* (- x 1.0) (log y))
2.0ms	(log (- 1.0 y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (- x 1.0) (log y))
45.0ms	(log (- 1.0 y))

simplify1.3s

Counts

51 → 51

Iterations

Useful iterations: 3 (459.0ms)

Iter	Nodes	Cost
0	131	524
1	264	501
2	779	445
3	2949	439
done	5001	439

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
57×	`*-un-lft-identity`
56×	`unpow-prod-down`
50×	`add-cube-cbrt`
31×	`add-exp-log`
27×	`flip3--` `flip--`
24×	`log-prod` `associate-*l/` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
13×	`associate-l` `add-cbrt-cube`
12×	`pow1` `frac-times` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp`
7×	`associate-*r/`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod` `distribute-lft-out--`
3×	`pow-prod-down` `*-commutative` `difference-of-squares`
2×	`log-pow`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 223

Calls

4 calls:

35.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
29.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
11.0ms	(* (- x 1.0) (log y))

series343.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
51.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
158.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
62.0ms	(* (- x 1.0) (log y))

simplify417.0ms

Counts

235 → 235

Iterations

Useful iterations: done (404.0ms)

Iter	Nodes	Cost
0	496	5887
1	1324	5333
done	5000	5255

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

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

series759.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt y) (cbrt y))
188.0ms	(cbrt y)
182.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: 3 (320.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	381	397
3	1865	379
done	5000	379

prune423.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

2.0ms	(cbrt (- z 1.0))
5.0ms	(cbrt (- z 1.0))
2.0ms	(cbrt (- z 1.0))
20.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (- z 1.0))
107.0ms	(cbrt (- z 1.0))
102.0ms	(cbrt (- z 1.0))
128.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: 3 (682.0ms)

Iter	Nodes	Cost
0	167	1563
1	370	1421
2	1125	1353
3	4399	1256
done	5001	1256

prune539.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes286.0ms

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	27	41
1	35	41
done	35	41

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	24277×	body	80	nan
339.0ms	5914×	body	80	valid
244.0ms	760×	body	640	valid
161.0ms	255×	body	1280	valid
130.0ms	659×	body	320	valid
56.0ms	446×	body	160	valid