Details

sample47.0ms

Algorithm

intervals

Results

18.0ms	110×	body	1280	valid
9.0ms	87×	body	640	valid
4.0ms	381×	pre	80	true
2.0ms	33×	body	320	valid
2.0ms	132×	body	80	valid
1.0ms	19×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

9.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify1.5s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
3	2110
2	428
1	149
0	66

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
5.5b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

3 → 62

Calls

3 calls:

5.0ms	(+ 1.0 (exp x))
11.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ 1.0 (exp x))
92.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
53.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	2420
2	623
1	220
0	105

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
5.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (- 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

3.0ms	(sqrt (exp x))
9.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- 1.0))

series116.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(sqrt (exp x))
22.0ms	(sqrt (exp x))
72.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- 1.0))

simplify2.6s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
4	4629
3	763
2	202
1	84
0	52

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes81.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample2.1s

Algorithm

intervals

Results

860.0ms	3389×	body	1280	valid
371.0ms	2562×	body	640	valid
277.0ms	11997×	pre	80	true
148.0ms	1211×	body	320	valid
89.0ms	4204×	body	80	valid
35.0ms	631×	body	160	valid