Details

sample480.0ms

Algorithm

intervals

Results

265.0ms	1345×	body	80	nan
89.0ms	465×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1760
4	460
3	167
2	63
1	32
0	17

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite9.4s

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
84×	`times-frac` `associate-r`
80×	`exp-sum`
74×	`add-cube-cbrt`
72×	`log-prod`
70×	`associate--l+`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`associate-+l+` `associate-+r+`
28×	`associate-/l*`
27×	`associate-l`
15×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`exp-prod`
10×	`pow1` `distribute-lft-out--` `add-log-exp`
6×	`*-commutative` `distribute-lft-out` `unswap-sqr`
5×	`+-commutative` `sub-neg`
4×	`prod-exp` `insert-posit16`
3×	`associate-/r*` `div-exp` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `pow-prod-down` `associate-*l/` `log-pow` `difference-of-squares`
1×	`clear-num` `sum-log` `frac-2neg` `flip3--` `associate-*r/` `div-inv` `flip--` `associate-/l/`

Counts

4 → 227

Calls

4 calls:

43.0ms	(* (- t 1.0) (log a))
15.0ms	(* y (log z))
1.6s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
7.7s	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series715.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- t 1.0) (log a))
78.0ms	(* y (log z))
219.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
329.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.3s

Counts

239 → 239

Iterations

Iter	Nodes
done	5000
2	2892
1	1082
0	467

prune2.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.8b

localize98.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.5s

Algorithm

rewrite-expression-head

Rules

4040×	`cbrt-prod`
3342×	`associate-r`
3236×	`add-sqr-sqrt`
2538×	`times-frac`
1952×	`exp-sum`
1696×	`*-un-lft-identity`
1630×	`add-cube-cbrt`
1610×	`associate--l+`
1380×	`log-prod`
1298×	`swap-sqr`
1291×	`associate-l`
856×	`unswap-sqr`
690×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in`
179×	`*-commutative`
171×	`sub-neg`
115×	`+-commutative`
94×	`associate-/l*`
89×	`add-cbrt-cube`
69×	`cbrt-unprod`
33×	`exp-prod`
30×	`cbrt-undiv`
27×	`associate-/r*` `distribute-lft-out--`
25×	`add-exp-log`
22×	`add-log-exp`
18×	`distribute-lft-out`
9×	`prod-exp` `rem-exp-log`
7×	`exp-diff`
6×	`diff-log` `div-exp`
4×	`pow1` `cbrt-div` `associate-*r/` `insert-posit16`
3×	`sum-log` `difference-of-squares` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*l/` `div-inv`

Counts

4 → 2826

Calls

4 calls:

26.4s	(/ (* x (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (* (cbrt y) (cbrt y)))
1.8s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.3s

Counts

4 → 12

Calls

4 calls:

703.0ms	(/ (* x (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (* (cbrt y) (cbrt y)))
213.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
197.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify6.2s

Counts

2838 → 2838

Iterations

Iter	Nodes
done	5001
0	3223

prune50.8s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 0.6b

localize132.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.4s

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
64×	`exp-sum`
56×	`associate--l+`
48×	`log-prod`
44×	`exp-prod`
36×	`distribute-lft-out--`
32×	`add-sqr-sqrt`
28×	`associate-l` `add-log-exp`
24×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `add-cube-cbrt` `distribute-lft-out`
12×	`rem-exp-log`
8×	`diff-log`
4×	`pow1` `+-commutative` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `add-exp-log` `insert-posit16` `difference-of-squares`

Counts

4 → 156

Calls

4 calls:

1.7s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.6s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series757.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
188.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
181.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
188.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.9s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
3	1978
2	659
1	316
0	156

prune2.6s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 0.6b

localize138.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.8s

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
64×	`exp-sum`
56×	`associate--l+`
48×	`log-prod`
44×	`exp-prod`
36×	`distribute-lft-out--`
32×	`add-sqr-sqrt`
28×	`associate-l` `add-log-exp`
24×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `add-cube-cbrt` `distribute-lft-out`
12×	`rem-exp-log`
8×	`diff-log`
4×	`pow1` `+-commutative` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `add-exp-log` `insert-posit16` `difference-of-squares`

Counts

4 → 156

Calls

4 calls:

1.8s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7s	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series863.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
200.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
227.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
231.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.0s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
3	1978
2	659
1	316
0	156

prune2.0s

Pruning

32 alts after pruning (30 fresh and 2 done)

Merged error: 0.5b

regimes4.8s

Accuracy

0% (0.8b remaining)

Error of 1.3b against oracle of 0.6b and baseline of 1.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	36
1	36
0	29

end0.0ms

sample14.4s

Algorithm

intervals

Results

8.0s	46021×	body	80	nan
3.0s	15223×	body	80	valid