Details

sample398.0ms

Algorithm

intervals

Results

150.0ms	1267×	body	80	nan
46.0ms	406×	body	80	valid
35.0ms	13×	body	320	valid
8.0ms	13×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	6×	body	160	valid

simplify500.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.1b	(* y (- (log z) t))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.8b	(log (- 1.0 z))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-r/` `associate-r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `flip3--` `associate-l` `flip--` `add-log-exp`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `sum-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

176.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
57.0ms	(* y (- (log z) t))
44.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series745.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
112.0ms	(* y (- (log z) t))
316.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
67.0ms	(log (- 1.0 z))

simplify987.0ms

Counts: 119 → 119

prune600.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

47×	`associate--l+`
30×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `log-prod`
24×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`associate-+r+`
13×	`sub-neg` `associate-r`
12×	`associate-*r/`
11×	`pow1`
10×	`associate-+l+`
9×	`distribute-lft-out--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
4×	`frac-add`
3×	`log-pow` `difference-of-squares`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 128

Calls

4 calls:

8.0ms	(- (log z) t)
815.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
26.0ms	(* y (- (log z) t))
173.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series698.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (log z) t)
154.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
117.0ms	(* y (- (log z) t))
341.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.1s

Counts: 140 → 140

prune790.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.8b	(log (- 1.0 z))
7.8b	(log (- 1.0 z))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
32×	`associate--l+`
28×	`associate-+r+`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
20×	`associate-+l+`
16×	`associate-*r/`
14×	`add-cube-cbrt`
10×	`flip3--` `flip--`
8×	`sub-neg` `frac-add` `add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
4×	`log-div` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+`

Counts

4 → 110

Calls

4 calls:

56.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
37.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(log (- 1.0 z))
9.0ms	(log (- 1.0 z))

series697.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
299.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
69.0ms	(log (- 1.0 z))
68.0ms	(log (- 1.0 z))

simplify842.0ms

Counts: 122 → 122

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

111.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
8.0ms	(- (log z) t)
32.0ms	(* y (- (log z) t))

series342.0ms

Counts

3 → 9

Calls

3 calls:

196.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
67.0ms	(- (log z) t)
79.0ms	(* y (- (log z) t))

simplify526.0ms

Counts: 79 → 79

prune332.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes501.0ms

Accuracy

91.8% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 11.3b

bsearch4.0ms

simplify813.0ms

end0.0ms

sample12.9s

Algorithm

intervals

Results

5.8s	41700×	body	80	nan
1.9s	12508×	body	80	valid
425.0ms	386×	body	320	valid
244.0ms	348×	body	640	valid
114.0ms	84×	body	1280	valid
63.0ms	296×	body	160	valid