Details

sample410.0ms

Algorithm

intervals

Results

226.0ms	1530×	body	80	nan
94.0ms	511×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize37.0ms

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)

rewrite551.0ms

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:

9.0ms	(* y (log z))
260.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
86.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
195.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series651.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* y (log z))
204.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
147.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
246.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1651
1	432
0	191

prune776.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize42.0ms

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))

rewrite270.0ms

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:

16.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
156.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series462.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
221.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
119.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	2283
1	623
0	265

prune905.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.8b

localize56.0ms

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))

rewrite249.0ms

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)
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
83.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
87.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series683.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt y)
151.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
150.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

84 → 84

Iterations

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

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

localize82.0ms

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))

rewrite151.0ms

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))
65.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
18.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series625.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt y)
154.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
144.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
129.0ms	(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

prune869.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

regimes1.8s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	35
2	35
1	33
0	26

end0.0ms

sample14.6s

Algorithm

intervals

Results

8.9s	46140×	body	80	nan
2.9s	15275×	body	80	valid