Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	58×	body	1280	valid
12.0ms	43×	body	640	valid
12.0ms	131×	body	80	valid
3.0ms	14×	body	320	valid
1.0ms	10×	body	160	valid

simplify14.1s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite79.0ms

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	(/ 2 (+ 1 (exp (* -2 x))))
6.0ms	(+ 1 (exp (* -2 x)))
60.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series141.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ 2 (+ 1 (exp (* -2 x))))
16.0ms	(+ 1 (exp (* -2 x)))
102.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.3s

Counts

159 → 159

Iterations

Iter	Nodes
3	2164
2	894
1	406
0	183

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite118.0ms

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:

23.0ms	(/ 2 (+ 1 (exp (* -2 x))))
12.0ms	(+ 1 (exp (* -2 x)))
77.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series141.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))
101.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.4s

Counts

159 → 159

Iterations

Iter	Nodes
3	2164
2	894
1	406
0	183

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 5) 2/15 x)
0.1b	(* (* x x) x)
19.1b	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

rewrite17.0ms

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)
15.0ms	(* (* x x) x)
0.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

series282.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(fma (pow x 5) 2/15 x)
51.0ms	(* (* x x) x)
79.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

simplify3.6s

Counts

62 → 62

Iterations

Iter	Nodes
4	5996
3	1256
2	350
1	130
0	70

prune594.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

13.3b	(cbrt (fma (pow x 5) 2/15 x))
13.3b	(cbrt (fma (pow x 5) 2/15 x))
13.3b	(cbrt (fma (pow x 5) 2/15 x))
19.1b	(fma (* (* x x) x) -1/3 (* (* (cbrt (fma (pow x 5) 2/15 x)) (cbrt (fma (pow x 5) 2/15 x))) (cbrt (fma (pow x 5) 2/15 x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

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

series2.4s

Counts

4 → 12

Calls

4 calls:

769.0ms	(cbrt (fma (pow x 5) 2/15 x))
795.0ms	(cbrt (fma (pow x 5) 2/15 x))
786.0ms	(cbrt (fma (pow x 5) 2/15 x))
91.0ms	(fma (* (* x x) x) -1/3 (* (* (cbrt (fma (pow x 5) 2/15 x)) (cbrt (fma (pow x 5) 2/15 x))) (cbrt (fma (pow x 5) 2/15 x))))

simplify1.9s

Counts

65 → 65

Iterations

Iter	Nodes
4	3963
3	1163
2	446
1	186
0	90

prune678.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes344.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.1b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	29
1	29
0	23

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	1702×	body	1280	valid
752.0ms	4125×	body	80	valid
487.0ms	1218×	body	640	valid
235.0ms	630×	body	320	valid
55.0ms	325×	body	160	valid