Details

sample211.0ms

Algorithm

intervals

Results

82.0ms	799×	body	80	nan
21.0ms	193×	body	80	valid
15.0ms	25×	body	640	valid
8.0ms	22×	body	320	valid
6.0ms	5×	body	1280	valid
3.0ms	14×	body	160	valid

simplify1.9s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
4.5b	(log (- 1.0 y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

90.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
24.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series360.0ms

Counts

3 → 9

Calls

3 calls:

225.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
76.0ms	(* (- x 1.0) (log y))
59.0ms	(log (- 1.0 y))

simplify658.0ms

Counts: 70 → 70

prune347.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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)))))))
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2))))))
0.1b	(* (- x 1.0) (log y))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 301

Calls

4 calls:

61.0ms	(* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))
45.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))))))
121.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2))))))
26.0ms	(* (- x 1.0) (log y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))
196.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2)))))))
92.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* (/ 1 2) (/ (pow y 2) (pow 1.0 2))))))
83.0ms	(* (- x 1.0) (log y))

simplify766.0ms

Counts: 313 → 313

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

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)

rewrite33.0ms

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:

23.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt y) (cbrt y))
256.0ms	(cbrt y)
248.0ms	(cbrt y)
278.0ms	(cbrt y)

simplify920.0ms

Counts: 85 → 85

prune711.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) (/ -1 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
19.0ms	(pow (/ 1 y) (/ -1 3))

series1.1s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt y) (cbrt y))
263.0ms	(cbrt y)
231.0ms	(cbrt y)
244.0ms	(pow (/ 1 y) (/ -1 3))

simplify665.0ms

Counts: 116 → 116

prune872.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes458.0ms

Accuracy

-1.6% (0.4b remaining)

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

bsearch0.0ms

simplify435.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.4s	24209×	body	80	nan
645.0ms	5843×	body	80	valid
437.0ms	815×	body	640	valid
302.0ms	683×	body	320	valid
250.0ms	272×	body	1280	valid
116.0ms	421×	body	160	valid