Details

sample53.0ms

Algorithm

intervals

Results

21.0ms	54×	body	1280	valid
8.0ms	33×	body	640	valid
7.0ms	133×	body	80	valid
5.0ms	27×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2490
7	682
6	240
5	101
4	51
3	30
2	22
1	18
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.4b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 132

Calls

2 calls:

14.0ms	(/ 2 (+ 1 (exp (* -2 x))))
142.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series106.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 2 (+ 1 (exp (* -2 x))))
77.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.9s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
3	2451
2	948
1	397
0	172

prune473.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ (exp (* x -2)) 1))
2.4b	(- (/ 2 (+ (exp (* x -2)) 1)) 1)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 132

Calls

2 calls:

16.0ms	(/ 2 (+ (exp (* x -2)) 1))
159.0ms	(- (/ 2 (+ (exp (* x -2)) 1)) 1)

series98.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ 2 (+ (exp (* x -2)) 1))
77.0ms	(- (/ 2 (+ (exp (* x -2)) 1)) 1)

simplify3.3s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
3	2584
2	980
1	402
0	174

prune381.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 5) 2/15 x)
0.1b	(* (* x x) x)
18.5b	(fma -1/3 (* (* x x) x) (fma (pow x 5) 2/15 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/15 x)
35.0ms	(* (* x x) x)
1.0ms	(fma -1/3 (* (* x x) x) (fma (pow x 5) 2/15 x))

series321.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(fma (pow x 5) 2/15 x)
37.0ms	(* (* x x) x)
84.0ms	(fma -1/3 (* (* x x) x) (fma (pow x 5) 2/15 x))

simplify1.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	5006
3	1700
2	388
1	136
0	70

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (expm1 (* x -4)))
0.3b	(* (/ 2 (expm1 (* x -4))) (- (exp (* x -2)) 1))
1.6b	(- (* (/ 2 (expm1 (* x -4))) (- (exp (* x -2)) 1)) 1)
2.7b	(- (exp (* x -2)) 1)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
52×	`add-cube-cbrt`
48×	`prod-diff`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
19×	`times-frac`
17×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`associate-r`
6×	`pow1` `sub-neg`
4×	`expm1-log1p-u` `expm1-def` `flip3--` `fma-neg` `prod-exp` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
3×	`associate-/r` `div-exp` `associate-/l`
2×	`frac-times` `cbrt-undiv` `diff-log` `difference-of-sqr-1` `associate-*r/` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 171

Calls

4 calls:

4.0ms	(/ 2 (expm1 (* x -4)))
57.0ms	(* (/ 2 (expm1 (* x -4))) (- (exp (* x -2)) 1))
38.0ms	(- (* (/ 2 (expm1 (* x -4))) (- (exp (* x -2)) 1)) 1)
14.0ms	(- (exp (* x -2)) 1)

series398.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 2 (expm1 (* x -4)))
92.0ms	(* (/ 2 (expm1 (* x -4))) (- (exp (* x -2)) 1))
257.0ms	(- (* (/ 2 (expm1 (* x -4))) (- (exp (* x -2)) 1)) 1)
18.0ms	(- (exp (* x -2)) 1)

simplify1.9s

Counts

183 → 183

Iterations

Iter	Nodes
done	5001
2	1921
1	691
0	252

prune852.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch129.0ms

Steps

Iters	Range		Point
10	1.7877411926250683e-07	38910778292.312386	0.011811720304489515
9	-1.1375194732999505	-6.231393320517686e-07	-0.007801985501095653

simplify8.0ms

Iterations

Iter	Nodes
done	37
1	37
0	30

end0.0ms

sample2.0s

Algorithm

intervals

Results

706.0ms	1718×	body	1280	valid
593.0ms	4107×	body	80	valid
403.0ms	1267×	body	640	valid
100.0ms	586×	body	320	valid
35.0ms	322×	body	160	valid