Details

sample196.0ms

Algorithm

intervals

Results

61.0ms	739×	body	80	nan
30.0ms	175×	body	80	valid
16.0ms	32×	body	640	valid
9.0ms	10×	body	1280	valid
7.0ms	21×	body	320	valid
4.0ms	19×	body	160	valid

simplify635.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	30	13
3	38	13
4	44	13
5	59	13
6	90	13
7	187	13
8	611	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
7.8b	(log (- 1.0 y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
6×	`associate-+l+` `associate-l` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 97

Calls

4 calls:

22.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
15.0ms	(* z (log (- 1.0 y)))
16.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series340.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
87.0ms	(* z (log (- 1.0 y)))
69.0ms	(* x (log y))
66.0ms	(log (- 1.0 y))

simplify874.0ms

Counts

109 → 109

Iterations

Useful iterations: done (864.0ms)

Iter	Nodes	Cost
0	207	1236
1	483	1176
2	1498	1066
done	5001	1042

prune513.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

56.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
18.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
76.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
9.0ms	(* x (log y))

series628.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
199.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
142.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
41.0ms	(* x (log y))

simplify828.0ms

Counts

113 → 113

Iterations

Useful iterations: done (824.0ms)

Iter	Nodes	Cost
0	201	2374
1	470	2239
2	1539	2120
done	5001	2089

prune633.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

21.0ms	(* x (log (cbrt y)))
47.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series831.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* x (log (cbrt y)))
185.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
254.0ms	(cbrt y)
287.0ms	(cbrt y)

simplify923.0ms

Counts

89 → 89

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	119	909
1	305	849
2	1321	721
done	5000	711

prune627.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
0.7b	(cbrt (- y))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`log-prod`
15×	`pow1`
14×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate--l+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-prod` `associate-+r+`
6×	`pow-prod-down` `add-log-exp`
4×	`sub-neg` `associate-l` `prod-exp` `log-pow` `cbrt-unprod`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3`
2×	`associate-+l+` `associate-r/` `-commutative` `distribute-lft-out--`
1×	`+-commutative` `neg-mul-1` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

54.0ms	(+ (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
124.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
62.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
2.0ms	(cbrt (- y))

series1.4s

Counts

4 → 12

Calls

4 calls:

356.0ms	(+ (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
147.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
660.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
281.0ms	(cbrt (- y))

simplify1.6s

Counts

109 → 109

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	204	2143
1	508	2029
2	2360	1858
done	5000	1851

prune703.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes463.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	32
1	35	32
done	35	32

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.7s	23659×	body	80	nan
709.0ms	5655×	body	80	valid
428.0ms	832×	body	640	valid
346.0ms	381×	body	1280	valid
252.0ms	702×	body	320	valid
126.0ms	465×	body	160	valid