Details

sample357.0ms

Algorithm

intervals

Results

144.0ms	1284×	body	80	nan
40.0ms	393×	body	80	valid
29.0ms	16×	body	640	valid
6.0ms	16×	body	320	valid
2.0ms	9×	body	160	valid

simplify37.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.3b	(log (- 1.0 z))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

48.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
26.0ms	(* y (- (log z) t))
59.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series604.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
86.0ms	(* y (- (log z) t))
229.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
53.0ms	(log (- 1.0 z))

simplify58.0ms

Counts: 113 → 113

prune544.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.1b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

684.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
213.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
41.0ms	(* y (- (log z) t))
226.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series859.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
201.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
76.0ms	(* y (- (log z) t))
294.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify74.0ms

Counts: 116 → 116

prune691.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (log z) t))
0.5b	(cbrt (- (log z) t))
0.5b	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
0.5b	(+ (* (* y (* (cbrt (- (log z) t)) (cbrt (- (log z) t)))) (cbrt (- (log z) t))) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

124×	`cbrt-div`
118×	`associate-*r/`
88×	`flip3--` `flip--`
60×	`frac-times`
52×	`cbrt-prod` `frac-add`
50×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
30×	`associate-*l/`
21×	`pow1`
20×	`distribute-lft-out--`
16×	`add-cube-cbrt` `associate--l+`
15×	`swap-sqr`
14×	`associate-+r+`
10×	`log-pow`
9×	`associate-r` `associate-l`
8×	`pow1/3`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-exp-log` `log-prod` `add-log-exp` `difference-of-squares`
4×	`sub-neg` `add-cbrt-cube` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 172

Calls

4 calls:

6.0ms	(cbrt (- (log z) t))
5.0ms	(cbrt (- (log z) t))
84.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
461.0ms	(+ (* (* y (* (cbrt (- (log z) t)) (cbrt (- (log z) t)))) (cbrt (- (log z) t))) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series634.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (- (log z) t))
105.0ms	(cbrt (- (log z) t))
104.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
322.0ms	(+ (* (* y (* (cbrt (- (log z) t)) (cbrt (- (log z) t)))) (cbrt (- (log z) t))) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify90.0ms

Counts: 184 → 184

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.1b	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

28×	`associate--l+`
26×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`log-prod`
17×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
14×	`associate-+r+` `associate-r`
13×	`add-exp-log`
10×	`associate-+l+` `associate-*r/`
8×	`pow1` `sub-neg` `add-cbrt-cube`
7×	`unpow-prod-down`
6×	`associate-l` `add-log-exp`
5×	`flip3--` `prod-exp` `flip--`
4×	`frac-add` `pow-exp` `unswap-sqr`
3×	`pow-unpow` `sqr-pow`
2×	`unpow-prod-up` `pow-to-exp` `e-exp-1` `*-commutative` `cbrt-unprod` `distribute-lft-out--`
1×	`+-commutative` `pow-pow` `flip3-+` `pow-prod-down` `sum-log` `log-pow` `flip-+` `difference-of-squares`

Counts

4 → 118

Calls

4 calls:

583.0ms	(* x (pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
277.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
28.0ms	(* y (- (log z) t))
277.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.2s

Counts

4 → 12

Calls

4 calls:

376.0ms	(* x (pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
309.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
134.0ms	(* y (- (log z) t))
337.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify83.0ms

Counts: 130 → 130

prune811.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes400.0ms

Accuracy

-4555.2% (20.9b remaining)

Error of 20.9b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify94.0ms

end0.0ms

sample12.1s

Algorithm

intervals

Results

5.9s	41215×	body	80	nan
1.8s	12563×	body	80	valid
212.0ms	402×	body	640	valid
139.0ms	418×	body	320	valid
103.0ms	76×	body	1280	valid
56.0ms	267×	body	160	valid