Details

sample62.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
13.0ms	43×	body	640	valid
9.0ms	135×	body	80	valid
4.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2017
8	2017
7	682
6	240
5	101
4	51
3	30
2	22
1	18
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
63×	`times-frac` `add-cube-cbrt`
54×	`prod-diff`
18×	`fma-neg`
17×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log`
7×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`add-cbrt-cube` `div-inv`
4×	`associate-/r*` `difference-of-squares`
3×	`expm1-log1p-u` `pow1` `fma-def` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`expm1-def` `difference-of-sqr-1` `div-exp`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 150

Calls

3 calls:

11.0ms	(+ 1 (exp (* -2 x)))
20.0ms	(/ 2 (+ 1 (exp (* -2 x))))
117.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series149.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ 1 (exp (* -2 x)))
41.0ms	(/ 2 (+ 1 (exp (* -2 x))))
96.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.1s

Counts

159 → 159

Iterations

Iter	Nodes
done	2002
3	2002
2	930
1	426
0	183

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite509.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity`
259×	`add-sqr-sqrt`
169×	`times-frac`
162×	`prod-diff` `add-cube-cbrt`
56×	`cbrt-prod`
54×	`fma-neg`
36×	`distribute-lft-out`
32×	`difference-of-squares`
24×	`associate-/r/`
19×	`swap-sqr`
18×	`difference-of-sqr-1`
15×	`add-exp-log`
13×	`associate-r` `associate-l`
12×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
11×	`pow1`
10×	`add-log-exp`
9×	`flip3--` `flip--` `distribute-lft-out--`
6×	`expm1-def` `pow1/3`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`sub-neg` `diff-log` `div-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 366

Calls

4 calls:

232.0ms	(* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
57.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
99.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
114.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series498.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
92.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
76.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
69.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.5s

Counts

378 → 378

Iterations

Iter	Nodes
done	2001
3	2001
2	1049
1	510
0	239

prune4.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (log (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite550.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
188×	`add-sqr-sqrt`
162×	`prod-diff`
155×	`add-cube-cbrt`
153×	`times-frac`
54×	`fma-neg`
36×	`distribute-lft-out`
24×	`associate-/r/`
13×	`add-exp-log`
12×	`pow1` `cbrt-div` `exp-prod` `flip3-+` `flip-+` `div-inv` `difference-of-squares`
10×	`add-log-exp`
9×	`flip3--` `log-pow` `flip--`
8×	`log-div` `exp-diff`
6×	`expm1-def` `pow1/3` `difference-of-sqr-1`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `diff-log` `div-exp` `distribute-lft-out--`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `exp-sum` `rem-exp-log`

Counts

4 → 320

Calls

4 calls:

248.0ms	(exp (log (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))
87.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
82.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
125.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series468.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(exp (log (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))
92.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
76.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
72.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.3s

Counts

332 → 332

Iterations

Iter	Nodes
done	2001
3	2001
2	1006
1	496
0	238

prune5.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 5) 2/15 x)
0.1b	(* x (* x x))
22.4b	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/15 x)
31.0ms	(* x (* x x))
1.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))

series329.0ms

Counts

3 → 9

Calls

3 calls:

210.0ms	(fma (pow x 5) 2/15 x)
44.0ms	(* x (* x x))
75.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	2034
4	2034
3	1429
2	365
1	122
0	71

prune497.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes285.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.1b

bsearch1.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	37
1	37
0	28

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1692×	body	1280	valid
566.0ms	1236×	body	640	valid
385.0ms	4125×	body	80	valid
168.0ms	639×	body	320	valid
88.0ms	308×	body	160	valid