Details

sample210.0ms

Algorithm

intervals

Results

91.0ms	843×	body	80	nan
18.0ms	191×	body	80	valid
14.0ms	28×	body	640	valid
7.0ms	22×	body	320	valid
7.0ms	7×	body	1280	valid
2.0ms	8×	body	160	valid

simplify141.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
6.3b	(log (- 1.0 y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

32.0ms	(* (- z 1.0) (log (- 1.0 y)))
45.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series171.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- z 1.0) (log (- 1.0 y)))
69.0ms	(* (- x 1.0) (log y))
53.0ms	(log (- 1.0 y))

simplify34.0ms

Counts: 87 → 87

prune401.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 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))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 180

Calls

3 calls:

39.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
94.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
37.0ms	(* (- x 1.0) (log y))

series190.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
72.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
60.0ms	(* (- x 1.0) (log y))

simplify68.0ms

Counts: 189 → 189

prune864.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`frac-add`
3×	`pow1/3`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

27.0ms	(* (- x 1.0) (log (cbrt y)))
49.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series919.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (- x 1.0) (log (cbrt y)))
259.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
263.0ms	(cbrt y)
229.0ms	(cbrt y)

simplify110.0ms

Counts: 122 → 122

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(cbrt (cbrt y))

series1.1s

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt y)
216.0ms	(cbrt y)
250.0ms	(cbrt y)
363.0ms	(cbrt (cbrt y))

simplify45.0ms

Counts: 59 → 59

prune626.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes358.0ms

Accuracy

-5.1% (0.4b remaining)

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

bsearch0.0ms

simplify85.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.1s	24189×	body	80	nan
680.0ms	5875×	body	80	valid
358.0ms	794×	body	640	valid
239.0ms	686×	body	320	valid
225.0ms	238×	body	1280	valid
77.0ms	438×	body	160	valid