Details

sample197.0ms

Algorithm

intervals

Results

78.0ms	799×	body	80	nan
16.0ms	186×	body	80	valid
13.0ms	11×	body	1280	valid
12.0ms	28×	body	640	valid
6.0ms	23×	body	320	valid
4.0ms	11×	body	160	valid

simplify202.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
4.5b	(log (- 1.0 y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`log-pow` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 70

Calls

3 calls:

53.0ms	(* z (log (- 1.0 y)))
17.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series274.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(* z (log (- 1.0 y)))
79.0ms	(* x (log y))
78.0ms	(log (- 1.0 y))

simplify520.0ms

Counts: 79 → 79

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

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)))))))
0.0b	(* (/ 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))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

181×	`add-sqr-sqrt`
155×	`times-frac`
110×	`add-exp-log`
78×	`associate-r`
76×	`*-un-lft-identity`
72×	`unpow-prod-down`
56×	`add-cube-cbrt` `div-exp`
53×	`unswap-sqr`
42×	`prod-exp`
40×	`unpow2` `sqr-pow`
24×	`pow-to-exp` `log-prod` `pow-exp`
20×	`add-cbrt-cube`
19×	`associate-l`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1` `associate--l+`
10×	`rec-exp` `associate-+r+` `1-exp`
6×	`associate-+l+` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `sub-neg`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`log-pow` `div-inv` `distribute-lft-out--`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `associate-*l/` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 273

Calls

4 calls:

31.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))))))
71.0ms	(* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))
98.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2))))))
18.0ms	(* x (log y))

series467.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))))))
64.0ms	(* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))
164.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2))))))
65.0ms	(* x (log y))

simplify582.0ms

Counts: 285 → 285

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite74.0ms

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:

12.0ms	(* x (log (cbrt y)))
57.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series878.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* x (log (cbrt y)))
184.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
259.0ms	(cbrt y)
307.0ms	(cbrt y)

simplify2.2s

Counts: 89 → 89

prune719.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt y))) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow y (/ 1 3)))))
0.6b	(cbrt y)
5.1b	(pow y (/ 1 3))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-+r+` `log-prod`
13×	`pow-unpow`
10×	`pow1` `add-exp-log`
9×	`unpow-prod-down` `times-frac` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-log-exp`
3×	`cbrt-prod` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

4 → 81

Calls

4 calls:

20.0ms	(* (* 2 (log (cbrt y))) x)
42.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow y (/ 1 3)))))
1.0ms	(cbrt y)
4.0ms	(pow y (/ 1 3))

series936.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (* 2 (log (cbrt y))) x)
232.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (pow y (/ 1 3)))))
280.0ms	(cbrt y)
265.0ms	(pow y (/ 1 3))

simplify859.0ms

Counts: 93 → 93

prune726.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes253.0ms

Accuracy

-3.3% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.6s

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	24209×	body	80	nan
504.0ms	5516×	body	80	valid
446.0ms	900×	body	640	valid
376.0ms	446×	body	1280	valid
250.0ms	723×	body	320	valid
71.0ms	449×	body	160	valid