Details

sample515.0ms

Algorithm

intervals

Results

298.0ms	1530×	body	80	nan
113.0ms	511×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3114
4	560
3	180
2	65
1	32
0	17

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

11.0ms	(* y (log z))
239.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
70.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
162.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series683.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (log z))
190.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
243.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1651
1	432
0	191

prune950.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
30×	`associate-r`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
19×	`times-frac`
13×	`add-cbrt-cube`
12×	`pow1` `log-prod` `exp-sum` `add-exp-log`
11×	`associate-l`
10×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`sub-neg` `prod-exp` `associate--l+` `cbrt-unprod` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `*-commutative` `rem-exp-log`
2×	`diff-log` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `sum-log` `flip3--` `exp-diff` `div-exp` `associate-*r/` `div-inv` `flip--`

Counts

4 → 118

Calls

4 calls:

17.0ms	(* (- t 1.0) (log a))
6.0ms	(* y (log z))
250.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
97.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series509.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- t 1.0) (log a))
64.0ms	(* y (log z))
252.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
126.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.9s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	2283
1	623
0	265

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.8b

localize110.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`exp-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`exp-sum` `rem-exp-log`
8×	`add-cube-cbrt`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt y)
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series812.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt y)
175.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	2368
2	529
1	209
0	101

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
9×	`add-cube-cbrt`
6×	`exp-sum` `rem-exp-log`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`add-cbrt-cube` `diff-log` `insert-posit16`
3×	`cbrt-prod` `unpow-prod-up` `sub-neg` `unpow-prod-down` `associate--l+` `distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `exp-diff` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow1/3` `pow-sub` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt y)
67.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
76.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
42.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series760.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt y)
151.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
134.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
191.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1037
1	314
0	133

prune929.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

regimes1.9s

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	35
2	35
1	33
0	26

end0.0ms

sample15.5s

Algorithm

intervals

Results

8.3s	46140×	body	80	nan
3.6s	15275×	body	80	valid