Details

sample398.0ms

Algorithm

intervals

Results

163.0ms	1263×	body	80	nan
58.0ms	365×	body	80	valid
8.0ms	21×	body	320	valid
6.0ms	11×	body	640	valid
5.0ms	3×	body	1280	valid
2.0ms	12×	body	160	valid

simplify41.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.1b	(log (- 1.0 z))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

25.0ms	(- (log z) t)
51.0ms	(* y (- (log z) t))
29.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
335.0ms	(log (- 1.0 z))

series478.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (log z) t)
83.0ms	(* y (- (log z) t))
235.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
76.0ms	(log (- 1.0 z))

simplify64.0ms

Counts: 118 → 118

prune624.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.2b	(* y (- (log z) t))
0.3b	(+ (* 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

92×	`add-sqr-sqrt`
81×	`associate-r`
80×	`times-frac`
60×	`*-un-lft-identity`
56×	`unpow-prod-down`
50×	`add-cube-cbrt`
44×	`associate--l+`
31×	`add-exp-log`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `unpow2` `sqr-pow`
19×	`unswap-sqr`
14×	`associate-+r+`
13×	`associate-*r/` `add-cbrt-cube`
12×	`pow1` `sub-neg` `prod-exp`
10×	`associate-+l+`
9×	`div-exp` `associate-l`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `add-log-exp`
4×	`frac-add` `cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`log-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 220

Calls

4 calls:

46.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
892.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
47.0ms	(* y (- (log z) t))
242.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
121.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
91.0ms	(* y (- (log z) t))
319.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify82.0ms

Counts: 232 → 232

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (- (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))))))
0.0b	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
0.0b	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
7.3b	(* a (pow z 2))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`associate-r`
11×	`add-log-exp`
10×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`pow1` `associate-l`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp` `sum-log`
2×	`+-commutative` `exp-neg` `flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`neg-sub0` `pow-to-exp` `associate-+r+` `distribute-neg-in` `exp-diff` `exp-sum` `pow-prod-down` `pow-exp` `un-div-inv`

Counts

4 → 73

Calls

4 calls:

1.2s	(* x (exp (- (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))))))
33.0ms	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
45.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
26.0ms	(* a (pow z 2))

series373.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* x (exp (- (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))))))
121.0ms	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
74.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
33.0ms	(* a (pow z 2))

simplify55.0ms

Counts: 85 → 85

prune393.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify89.0ms

end0.0ms

sample12.4s

Algorithm

intervals

Results

6.0s	41117×	body	80	nan
1.7s	12648×	body	80	valid
219.0ms	372×	body	640	valid
183.0ms	436×	body	320	valid
94.0ms	276×	body	160	valid
88.0ms	61×	body	1280	valid