Details

sample422.0ms

Algorithm

intervals

Results

193.0ms	1376×	body	80	nan
42.0ms	376×	body	80	valid
12.0ms	19×	body	640	valid
7.0ms	17×	body	320	valid
4.0ms	4×	body	1280	valid
2.0ms	11×	body	160	valid

simplify865.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1299
4	353
3	127
2	58
1	30
0	17

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize362.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.1b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
5.0b	(log (- 1.0 z))

rewrite116.0ms

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×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `add-cbrt-cube` `associate-r` `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:

27.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
40.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
41.0ms	(* y (- (log z) t))
4.0ms	(log (- 1.0 z))

series645.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
200.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
101.0ms	(* y (- (log z) t))
53.0ms	(log (- 1.0 z))

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2327
1	658
0	254

prune878.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite650.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

118.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (/ 1/2 1.0) (/ (* z z) 1.0))) (* 1.0 z)) b)))
346.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (/ 1/2 1.0) (/ (* z z) 1.0))) (* 1.0 z)) b)))))
149.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (/ 1/2 1.0) (/ (* z z) 1.0))) (* 1.0 z)) b))))
33.0ms	(* y (- (log z) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

359.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (/ 1/2 1.0) (/ (* z z) 1.0))) (* 1.0 z)) b)))
307.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (/ 1/2 1.0) (/ (* z z) 1.0))) (* 1.0 z)) b)))))
252.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (/ 1/2 1.0) (/ (* z z) 1.0))) (* 1.0 z)) b))))
110.0ms	(* y (- (log z) t))

simplify910.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2347
1	628
0	239

prune989.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (log z) t) y)
0.2b	(* y (- (log z) t))
0.2b	(/ 1.0 (/ (* z z) 1.0))
0.5b	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
117×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
109×	`add-cube-cbrt`
33×	`associate-/r*`
31×	`add-cbrt-cube` `add-exp-log`
22×	`div-inv`
14×	`cbrt-undiv` `div-exp`
10×	`pow1`
9×	`associate-r` `associate-l`
6×	`log-prod` `associate--l+` `associate-/r/` `associate-/l*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `pow-prod-down` `associate-l/` `associate-r/` `log-pow` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 230

Calls

4 calls:

23.0ms	(* (- (log z) t) y)
38.0ms	(* y (- (log z) t))
17.0ms	(/ 1.0 (/ (* z z) 1.0))
14.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (- (log z) t) y)
113.0ms	(* y (- (log z) t))
28.0ms	(/ 1.0 (/ (* z z) 1.0))
49.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))

simplify580.0ms

Counts

242 → 242

Iterations

Iter	Nodes
done	5000
1	1118
0	403

prune3.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* x (exp (+ (* (- (log z) t) y) (* a (- (log 1.0) (+ (/ 1/2 (/ 1.0 (/ (* z z) 1.0))) (+ b (* 1.0 z)))))))))
0.5b	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))
0.5b	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))
0.5b	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

594×	`times-frac`
253×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
78×	`associate-/r*`
51×	`div-inv`
46×	`add-cbrt-cube` `add-exp-log`
27×	`cbrt-undiv` `div-exp`
15×	`associate-/r/`
9×	`associate-/l*`
4×	`pow1` `add-log-exp`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 387

Calls

4 calls:

140.0ms	(cbrt (* x (exp (+ (* (- (log z) t) y) (* a (- (log 1.0) (+ (/ 1/2 (/ 1.0 (/ (* z z) 1.0))) (+ b (* 1.0 z)))))))))
14.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))
14.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))
27.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

497.0ms	(cbrt (* x (exp (+ (* (- (log z) t) y) (* a (- (log 1.0) (+ (/ 1/2 (/ 1.0 (/ (* z z) 1.0))) (+ b (* 1.0 z)))))))))
48.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))
36.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))
31.0ms	(/ 1/2 (/ 1.0 (/ (* z z) 1.0)))

simplify574.0ms

Counts

399 → 399

Iterations

Iter	Nodes
done	5000
1	1004
0	352

prune6.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes594.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample14.3s

Algorithm

intervals

Results

6.8s	41267×	body	80	nan
1.9s	12500×	body	80	valid
692.0ms	416×	body	640	valid
201.0ms	431×	body	320	valid
108.0ms	301×	body	160	valid
76.0ms	64×	body	1280	valid