Details

sample548.0ms

Algorithm

intervals

Results

313.0ms	1574×	body	80	nan
98.0ms	492×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2012
6	2012
5	1717
4	477
3	179
2	71
1	33
0	17

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite394.0ms

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:

17.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
274.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series597.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (- t 1.0) (log a))
56.0ms	(* y (log z))
164.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
277.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	2000
3	2000
2	1896
1	626
0	281

prune2.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- t 1.0) (log a) (* (log z) y))
0.2b	(* (log z) y)
0.5b	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))
0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
216×	`add-sqr-sqrt`
214×	`*-un-lft-identity`
212×	`add-cube-cbrt`
156×	`exp-sum`
117×	`prod-diff`
50×	`associate-/r*`
14×	`fma-udef`
13×	`sub-neg` `associate--l+`
11×	`add-cbrt-cube`
10×	`add-exp-log`
7×	`pow1` `add-log-exp`
5×	`exp-prod` `exp-diff` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-/l*`
2×	`rem-exp-log`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 284

Calls

4 calls:

0.0ms	(fma (- t 1.0) (log a) (* (log z) y))
8.0ms	(* (log z) y)
40.0ms	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))
22.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series661.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(fma (- t 1.0) (log a) (* (log z) y))
93.0ms	(* (log z) y)
252.0ms	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))
173.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.4s

Counts

296 → 296

Iterations

Iter	Nodes
done	2001
2	2001
1	1366
0	545

prune6.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
15×	`exp-prod`
13×	`add-log-exp`
6×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `sub-neg` `exp-diff` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt x)
24.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
12.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
12.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series798.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt x)
181.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
186.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
156.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify854.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	2000
3	2000
2	657
1	287
0	142

prune2.9s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.6b

localize133.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.9b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

48×	`exp-sum`
40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
20×	`exp-prod`
16×	`add-log-exp`
8×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `associate--l+` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

17.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
11.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
11.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
31.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series730.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
170.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
189.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
208.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.5s

Counts

132 → 132

Iterations

Iter	Nodes
done	2006
4	2006
3	1840
2	564
1	244
0	117

prune3.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.6b

regimes2.7s

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	28
1	28
0	24

end0.0ms

sample13.6s

Algorithm

intervals

Results

8.2s	45688×	body	80	nan
2.6s	15051×	body	80	valid