Details

sample304.0ms

Algorithm

intervals

Results

126.0ms	1240×	body	80	nan
36.0ms	394×	body	80	valid
7.0ms	15×	body	640	valid
7.0ms	11×	body	320	valid
2.0ms	10×	body	160	valid
1.0ms	1×	body	1280	valid

simplify531.0ms

Counts: 1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.3b	(log (- 1.0 z))

rewrite95.0ms

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:

8.0ms	(- (log z) t)
40.0ms	(* y (- (log z) t))
36.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series569.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (log z) t)
132.0ms	(* y (- (log z) t))
285.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
61.0ms	(log (- 1.0 z))

simplify1.0s

Counts: 118 → 118

prune682.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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)))))
0.0b	(- (log z) t)
0.1b	(* 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)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

755.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
15.0ms	(- (log z) t)
44.0ms	(* y (- (log z) t))
211.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series783.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
67.0ms	(- (log z) t)
85.0ms	(* y (- (log z) t))
313.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.1s

Counts: 121 → 121

prune859.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 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)))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite653.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate--l+`
42×	`associate-+r+` `log-prod`
41×	`distribute-rgt-in` `distribute-lft-in`
30×	`associate-+l+`
26×	`associate-*r/`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt` `sub-neg`
13×	`flip3--` `flip--`
12×	`frac-add`
10×	`add-log-exp`
7×	`pow1`
6×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`+-commutative` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`distribute-lft-out--`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

31.0ms	(* y (- (log z) t))
223.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
203.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
184.0ms	(+ (* 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:

100.0ms	(* y (- (log z) t))
384.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
339.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
382.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.1s

Counts: 162 → 162

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`associate-r`
8×	`pow1` `add-log-exp`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
6×	`add-exp-log`
3×	`exp-sum`
2×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `exp-diff` `associate-*r/` `sum-log` `log-pow` `flip--`

Counts

3 → 55

Calls

3 calls:

286.0ms	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
16.0ms	(* (log z) y)
71.0ms	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))

series444.0ms

Counts

3 → 9

Calls

3 calls:

220.0ms	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
82.0ms	(* (log z) y)
142.0ms	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))

simplify612.0ms

Counts: 64 → 64

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify878.0ms

end0.0ms

sample12.7s

Algorithm

intervals

Results

5.8s	40630×	body	80	nan
2.1s	12514×	body	80	valid
211.0ms	390×	body	640	valid
173.0ms	392×	body	320	valid
86.0ms	86×	body	1280	valid
84.0ms	268×	body	160	valid