Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	53×	body	1280	valid
9.0ms	51×	body	640	valid
4.0ms	124×	body	80	valid
2.0ms	16×	body	320	valid
1.0ms	12×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
0.0b	(pow (exp x) -2.0)
3.5b	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
5×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `div-inv` `add-log-exp`
4×	`pow1` `associate-/r*` `pow-pow`
3×	`expm1-log1p-u` `pow-unpow` `exp-prod` `unpow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`difference-of-squares`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `pow-exp` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

3 → 146

Calls

3 calls:

18.0ms	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
4.0ms	(pow (exp x) -2.0)
167.0ms	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

series575.0ms

Counts

3 → 9

Calls

3 calls:

210.0ms	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
128.0ms	(pow (exp x) -2.0)
237.0ms	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

simplify1.1s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	1591
1	499
0	208

prune632.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow x 4) 5.551115123125783e-17)
6.8b	(fma 0.33333333333333337 (pow x 3) (* (pow x 4) 5.551115123125783e-17))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`associate-l` `add-exp-log`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-r` `prod-exp` `unswap-sqr`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

14.0ms	(* (pow x 4) 5.551115123125783e-17)
0.0ms	(fma 0.33333333333333337 (pow x 3) (* (pow x 4) 5.551115123125783e-17))

series189.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (pow x 4) 5.551115123125783e-17)
141.0ms	(fma 0.33333333333333337 (pow x 3) (* (pow x 4) 5.551115123125783e-17))

simplify4.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
3	4322
2	509
1	130
0	65

prune242.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.5b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
3.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
108×	`prod-diff`
106×	`add-cube-cbrt`
98×	`times-frac`
59×	`log-prod`
56×	`exp-sum`
25×	`distribute-lft-out`
18×	`fma-neg`
16×	`associate-/r/`
8×	`flip3-+` `flip-+` `div-inv`
7×	`log-pow`
6×	`exp-prod`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`sub-neg` `distribute-lft-out--`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `flip--`

Counts

3 → 201

Calls

3 calls:

18.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
213.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
105.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series281.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
124.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
114.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify825.0ms

Counts

210 → 210

Iterations

Iter	Nodes
done	5001
2	1475
1	547
0	296

prune808.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.5b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	27

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	1683×	body	1280	valid
290.0ms	1243×	body	640	valid
219.0ms	4160×	body	80	valid
126.0ms	608×	body	320	valid
29.0ms	306×	body	160	valid