Details

sample83.0ms

Algorithm

intervals

Results

35.0ms	112×	body	1280	valid
15.0ms	87×	body	640	valid
7.0ms	401×	pre	80	true
4.0ms	154×	body	80	valid
3.0ms	24×	body	320	valid
2.0ms	24×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize7.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1.0)

rewrite28.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- (exp x) 1.0)

simplify3.5s

Counts

31 → 31

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	66	376
1	142	288
2	272	231
3	799	204
4	2411	175
done	5001	175

prune95.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune11.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
6.1b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

13.0ms	(+ 1.0 (exp x))
210.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
86.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series116.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
72.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
35.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.8s

Counts

98 → 98

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	147	1493
1	354	1441
2	995	1308
3	3234	1293
done	5000	1287

prune306.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (fma x 0.5 1.0))
0.0b	(fma (pow x 3) 0.16666666666666663 (* x (fma x 0.5 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

14.0ms	(* x (fma x 0.5 1.0))
1.0ms	(fma (pow x 3) 0.16666666666666663 (* x (fma x 0.5 1.0)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* x (fma x 0.5 1.0))
69.0ms	(fma (pow x 3) 0.16666666666666663 (* x (fma x 0.5 1.0)))

simplify851.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	62	414
1	114	400
2	283	344
3	1125	344
done	5000	344

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	3449×	body	1280	valid
393.0ms	2495×	body	640	valid
231.0ms	11875×	pre	80	true
164.0ms	4072×	body	80	valid
147.0ms	1224×	body	320	valid
36.0ms	635×	body	160	valid