Details

sample163.0ms

Algorithm

intervals

Results

56.0ms	818×	body	80	nan
15.0ms	198×	body	80	valid
10.0ms	18×	body	320	valid
10.0ms	23×	body	640	valid
6.0ms	8×	body	1280	valid
2.0ms	10×	body	160	valid

simplify162.0ms

Counts: 1 → 1

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
5.6b	(log (- 1.0 y))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

112.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
48.0ms	(* (- z 1.0) (log (- 1.0 y)))
37.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series408.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
71.0ms	(* (- z 1.0) (log (- 1.0 y)))
71.0ms	(* (- x 1.0) (log y))
54.0ms	(log (- 1.0 y))

simplify56.0ms

Counts: 106 → 106

prune445.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite405.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

154.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
139.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
46.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
57.0ms	(* (- x 1.0) (log y))

series692.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
85.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
239.0ms	(+ (* (- x 1.0) (log y)) (* (- 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))

simplify113.0ms

Counts: 141 → 141

prune875.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.1b	(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b	(* (- x 1.0) (log y))
0.4b	(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

98×	`associate-*l/`
88×	`frac-times`
84×	`flip3--` `flip--`
52×	`frac-add`
31×	`flip3-+` `flip-+`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
26×	`associate-*r/`
20×	`associate-r`
16×	`pow1`
13×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
12×	`log-prod` `sqrt-prod`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
6×	`associate-+l+` `add-log-exp` `difference-of-squares`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`sub-neg` `associate-+r+`
3×	`log-pow` `*-commutative` `distribute-lft-out`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 190

Calls

4 calls:

55.0ms	(+ (* (- x 1.0) (log y)) (* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
120.0ms	(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
26.0ms	(* (- x 1.0) (log y))
213.0ms	(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

595.0ms	(+ (* (- x 1.0) (log y)) (* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
262.0ms	(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
69.0ms	(* (- x 1.0) (log y))
373.0ms	(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify113.0ms

Counts: 202 → 202

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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)) (cbrt (- z 1.0)))
0.4b	(* (* (* (cbrt (- z 1.0)) (cbrt (- z 1.0))) (* (cbrt (- z 1.0)) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite873.0ms

Algorithm

rewrite-expression-head

Rules

572×	`frac-times`
502×	`cbrt-div`
332×	`flip3--` `flip--`
214×	`associate-*l/`
136×	`associate-*r/`
81×	`flip3-+` `flip-+`
43×	`add-sqr-sqrt`
38×	`cbrt-prod` `*-un-lft-identity`
30×	`pow1`
24×	`add-exp-log`
18×	`associate-r`
16×	`add-cbrt-cube`
15×	`add-cube-cbrt` `pow-prod-down`
14×	`prod-exp` `cbrt-unprod`
11×	`distribute-lft-out--`
10×	`swap-sqr` `difference-of-squares`
9×	`associate-l`
8×	`pow1/3` `sqrt-prod`
4×	`add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 366

Calls

4 calls:

7.0ms	(cbrt (- z 1.0))
7.0ms	(cbrt (- z 1.0))
59.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
730.0ms	(* (* (* (cbrt (- z 1.0)) (cbrt (- z 1.0))) (* (cbrt (- z 1.0)) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series847.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- z 1.0))
140.0ms	(cbrt (- z 1.0))
171.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
402.0ms	(* (* (* (cbrt (- z 1.0)) (cbrt (- z 1.0))) (* (cbrt (- z 1.0)) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify222.0ms

Counts: 378 → 378

prune3.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes440.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify56.0ms

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.8s	24578×	body	80	nan
1.0s	5857×	body	80	valid
386.0ms	747×	body	640	valid
332.0ms	274×	body	1280	valid
238.0ms	718×	body	320	valid
119.0ms	433×	body	160	valid