Details

sample82.0ms

Algorithm

intervals

Results

33.0ms	54×	body	1280	valid
17.0ms	39×	body	640	valid
12.0ms	136×	body	80	valid
5.0ms	16×	body	320	valid
2.0ms	11×	body	160	valid

simplify14.0s

Counts

1 → 1

Iterations

Iter	Nodes
9	9728
8	1956
7	573
6	233
5	101
4	49
3	28
2	20
1	16
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite90.0ms

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:

10.0ms	(/ 2 (+ 1 (exp (* -2 x))))
77.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series101.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 2 (+ 1 (exp (* -2 x))))
78.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify9.0s

Counts

138 → 138

Iterations

Iter	Nodes
4	5879
3	1933
2	835
1	383
0	172

prune277.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ (exp (* -2 x)) 1))
2.9b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

rewrite89.0ms

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:

12.0ms	(/ 2 (+ (exp (* -2 x)) 1))
74.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series79.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ 2 (+ (exp (* -2 x)) 1))
58.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify12.8s

Counts

138 → 138

Iterations

Iter	Nodes
4	6379
3	1890
2	799
1	374
0	169

prune418.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma -1/3 (* x (* x x)) x)
0.1b	(* x (* x x))
23.0b	(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))

rewrite22.0ms

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 -1/3 (* x (* x x)) x)
21.0ms	(* x (* x x))
1.0ms	(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))

series264.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(fma -1/3 (* x (* x x)) x)
65.0ms	(* x (* x x))
72.0ms	(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))

simplify3.5s

Counts

58 → 58

Iterations

Iter	Nodes
4	6148
3	1102
2	285
1	120
0	72

prune249.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

94.7% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 29.1b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	29
1	29
0	23

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	1642×	body	1280	valid
568.0ms	1289×	body	640	valid
407.0ms	4119×	body	80	valid
193.0ms	617×	body	320	valid
62.0ms	333×	body	160	valid