Details

sample66.0ms

Algorithm

intervals

Results

20.0ms	41×	body	1280	valid
13.0ms	40×	body	640	valid
9.0ms	144×	body	80	valid
5.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3503
6	454
5	122
4	55
3	31
2	22
1	15
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
17×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

3 → 141

Calls

3 calls:

11.0ms	(+ 1.0 (exp (* -2.0 x)))
22.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
133.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series205.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ 1.0 (exp (* -2.0 x)))
54.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
123.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	1295
1	420
0	180

prune549.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.4b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.8b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite471.0ms

Algorithm

rewrite-expression-head

Rules

1375×	`times-frac`
1227×	`*-un-lft-identity`
853×	`add-sqr-sqrt`
829×	`add-cube-cbrt`
789×	`sqrt-prod`
585×	`prod-diff`
198×	`distribute-lft-out`
195×	`fma-neg`
66×	`sqrt-div` `associate-/r/`
35×	`flip3-+` `flip-+`
33×	`div-inv`
10×	`add-log-exp`
7×	`associate-/r*` `difference-of-squares`
6×	`fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`associate-/l*`
2×	`+-commutative` `sum-log`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

4 → 883

Calls

4 calls:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(+ 1.0 (exp (* -2.0 x)))
21.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
338.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series238.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ 1.0 (exp (* -2.0 x)))
17.0ms	(+ 1.0 (exp (* -2.0 x)))
109.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
93.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify2.8s

Counts

895 → 895

Iterations

Iter	Nodes
done	5000
2	4941
1	1559
0	672

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x x) (* x x))
0.2b	(* (* 0.33333333333333337 x) (* x x))
9.3b	(fma 5.551115123125783e-17 (* (* x x) (* x x)) (* (* 0.33333333333333337 x) (* x x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

126×	`pow1`
36×	`pow-prod-up`
31×	`pow-prod-down`
27×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
16×	`prod-exp` `cbrt-unprod`
13×	`pow2`
3×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `associate-l` `*-commutative`
1×	`swap-sqr` `fma-udef` `unswap-sqr`

Counts

3 → 99

Calls

3 calls:

40.0ms	(* (* x x) (* x x))
42.0ms	(* (* 0.33333333333333337 x) (* x x))
0.0ms	(fma 5.551115123125783e-17 (* (* x x) (* x x)) (* (* 0.33333333333333337 x) (* x x)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (* x x) (* x x))
40.0ms	(* (* 0.33333333333333337 x) (* x x))
142.0ms	(fma 5.551115123125783e-17 (* (* x x) (* x x)) (* (* 0.33333333333333337 x) (* x x)))

simplify978.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1228
1	252
0	91

prune223.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes243.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.8b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample2.0s

Algorithm

intervals

Results

979.0ms	1716×	body	1280	valid
337.0ms	1245×	body	640	valid
286.0ms	4091×	body	80	valid
195.0ms	640×	body	320	valid
33.0ms	308×	body	160	valid