Details

sample57.0ms

Algorithm

intervals

Results

9.0ms	170×	body	80	valid
8.0ms	27×	body	1280	valid
6.0ms	33×	body	640	valid
4.0ms	99×	body	80	nan
3.0ms	19×	body	320	valid
3.0ms	14×	body	640	nan
1.0ms	11×	body	320	nan
1.0ms	5×	body	1280	nan
1.0ms	7×	body	160	valid
0.0ms	3×	body	160	nan

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2335
8	741
7	343
6	223
5	123
4	75
3	41
2	29
1	19
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 108

Calls

4 calls:

31.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
21.0ms	(/ (- x y) (- 1.0 y))
30.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
28.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
43.0ms	(/ (- x y) (- 1.0 y))
58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
89.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.1s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1712
1	498
0	204

prune611.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
0.1b	(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
4.1b	(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
4.4b	(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
476×	`*-un-lft-identity`
373×	`add-sqr-sqrt`
170×	`add-cube-cbrt`
136×	`associate-l`
97×	`distribute-lft-out--` `difference-of-squares`
56×	`distribute-lft-out`
26×	`associate-/r/` `associate-/l*`
19×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`flip3-+` `flip-+` `div-inv`
7×	`pow1`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`flip3--` `associate-r` `flip--`
3×	`log-prod` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `log-div` `distribute-lft-in` `div-sub` `associate-*r/` `associate--r+`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `rem-log-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `associate-/l/`

Counts

4 → 372

Calls

4 calls:

46.0ms	(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
129.0ms	(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
4.0ms	(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
3.0ms	(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (/ (- x y) (+ 1.0 y)) (- 1.0 y))
51.0ms	(* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))
72.0ms	(- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y)))
140.0ms	(log (- 1.0 (* (/ (/ (- x y) (+ 1.0 y)) (- 1.0 y)) (+ 1.0 y))))

simplify1.5s

Counts

384 → 384

Iterations

Iter	Nodes
done	5000
1	1688
0	436

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `rem-log-exp` `associate-/l/`
1×	`log-div` `sub-neg` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

29.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
18.0ms	(/ (- x y) (- 1.0 y))
60.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
48.0ms	(/ (- x y) (- 1.0 y))
141.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
58.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.6s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	2296
1	652
0	268

prune913.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp 1.0) (* x (exp 1.0)))
0.0b	(- (* 1.0 (+ (exp 1.0) (* x (exp 1.0)))) (* 1.0 (* (exp 1.0) y)))
0.3b	(* (exp 1.0) y)
0.3b	(* x (exp 1.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`pow1` `add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-l` `add-exp-log`
2×	`pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `flip3-+` `distribute-rgt-out` `flip3--` `diff-log` `distribute-rgt1-in` `flip-+` `flip--` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

7.0ms	(+ (exp 1.0) (* x (exp 1.0)))
35.0ms	(- (* 1.0 (+ (exp 1.0) (* x (exp 1.0)))) (* 1.0 (* (exp 1.0) y)))
20.0ms	(* (exp 1.0) y)
18.0ms	(* x (exp 1.0))

series493.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (exp 1.0) (* x (exp 1.0)))
132.0ms	(- (* 1.0 (+ (exp 1.0) (* x (exp 1.0)))) (* 1.0 (* (exp 1.0) y)))
75.0ms	(* (exp 1.0) y)
98.0ms	(* x (exp 1.0))

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	1634
1	305
0	109

prune353.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes273.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.4b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample2.5s

Algorithm

intervals

Results

449.0ms	5677×	body	80	valid
383.0ms	817×	body	1280	valid
342.0ms	3924×	body	80	nan
262.0ms	803×	body	640	valid
195.0ms	383×	body	1280	nan
119.0ms	363×	body	640	nan
87.0ms	461×	body	320	valid
71.0ms	242×	body	160	valid
33.0ms	201×	body	320	nan
15.0ms	99×	body	160	nan