Details

sample428.0ms

Algorithm

intervals

Results

239.0ms	1596×	body	80	nan
68.0ms	503×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	1717
4	477
3	179
2	71
1	33
0	17

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 116

Calls

4 calls:

26.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
203.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
100.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series511.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- t 1.0) (log a))
55.0ms	(* y (log z))
214.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1919
1	626
0	281

prune987.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.7b

localize61.0ms

Local error

Found 4 expressions with local error:

1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
12×	`exp-sum`
10×	`add-log-exp`
9×	`times-frac` `prod-diff`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-div` `pow1/3` `div-inv` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
139.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
153.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
127.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
399.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
335.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
269.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4198
2	1068
1	400
0	190

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize92.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`unpow-prod-up`
9×	`times-frac` `prod-diff`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `unpow-prod-down` `pow1/3` `div-inv`
2×	`pow-exp`
1×	`pow-to-exp` `e-exp-1` `sub-neg` `pow-pow` `associate--l+` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

42.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
182.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
174.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
11.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
324.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
382.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
402.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
3	4313
2	1307
1	531
0	228

prune1.4s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.6b

localize95.0ms

Local error

Found 4 expressions with local error:

1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (* (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y))

rewrite546.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
12×	`exp-sum`
10×	`add-log-exp`
9×	`times-frac` `prod-diff`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-div` `pow1/3` `div-inv` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
205.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
165.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
53.0ms	(cbrt (/ (* x (* (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y))

series1.7s

Counts

4 → 12

Calls

4 calls:

163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
287.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
318.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
946.0ms	(cbrt (/ (* x (* (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y))

simplify1.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1544
1	555
0	254

prune1.5s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 0.5b

regimes3.2s

Accuracy

0% (1.2b remaining)

Error of 1.8b against oracle of 0.6b and baseline of 1.8b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	35
2	35
1	33
0	25

end0.0ms

sample11.8s

Algorithm

intervals

Results

6.5s	44868×	body	80	nan
2.7s	15195×	body	80	valid