Details

sample454.0ms

Algorithm

intervals

Results

223.0ms	1402×	body	80	nan
84.0ms	462×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite398.0ms

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:

31.0ms	(* (- t 1.0) (log a))
15.0ms	(* y (log z))
131.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
219.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series572.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (- t 1.0) (log a))
70.0ms	(* y (log z))
164.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
256.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.3s

Counts

128 → 128

Iterations

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

prune2.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.9b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
52×	`associate-r`
51×	`add-cube-cbrt`
48×	`exp-sum`
46×	`times-frac`
36×	`prod-diff`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`pow1`
7×	`associate-l` `add-log-exp`
5×	`exp-prod` `fma-udef`
4×	`expm1-log1p-u` `sub-neg` `associate--l+` `insert-posit16` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `rem-exp-log`
1×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `associate-*r/` `log-pow` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

0.0ms	(fma (- t 1.0) (log a) (* (log z) y))
15.0ms	(* (log z) y)
88.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
13.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series713.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(fma (- t 1.0) (log a) (* (log z) y))
117.0ms	(* (log z) y)
274.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
189.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.6s

Counts

146 → 146

Iterations

Iter	Nodes
done	2002
3	2002
2	1910
1	713
0	298

prune3.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.9b

localize107.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite90.0ms

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 y)
24.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
35.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
26.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series811.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt y)
152.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
195.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
205.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	2009
4	2009
3	1915
2	654
1	286
0	141

prune3.8s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.7b

localize146.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.1b	(exp (+ (- (fma (- 1.0) (log a) (* (log z) y)) b) (* (log a) t)))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

25×	`exp-sum`
24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
16×	`add-log-exp`
13×	`exp-prod`
7×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `exp-diff` `diff-log`
2×	`sum-log` `sub-neg` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3` `associate-+l-`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt y)
109.0ms	(exp (+ (- (fma (- 1.0) (log a) (* (log z) y)) b) (* (log a) t)))
24.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
24.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series830.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt y)
202.0ms	(exp (+ (- (fma (- 1.0) (log a) (* (log z) y)) b) (* (log a) t)))
169.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
163.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	2005
3	2005
2	795
1	337
0	169

prune2.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.7b

regimes3.0s

Accuracy

-44.9% (0.6b remaining)

Error of 1.3b against oracle of 0.6b and baseline of 1.1b

bsearch32.0ms

Steps

Iters	Range		Point
2	-133.68642777292953	-120.85307569739706	-122.10184297103054
0	-682.1841523319417	-666.6434143768023	-674.4137833543721

simplify15.0ms

Iterations

Iter	Nodes
done	51
2	51
1	49
0	40

end0.0ms

sample13.7s

Algorithm

intervals

Results

8.2s	45832×	body	80	nan
2.5s	15072×	body	80	valid