Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	113×	body	1280	valid
7.0ms	82×	body	640	valid
3.0ms	366×	pre	80	true
2.0ms	43×	body	320	valid
1.0ms	117×	body	80	valid
0.0ms	11×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize6.0ms

Local error

Found 1 expressions with local error:

3.2b	(- (exp x) 1.0)

rewrite6.0ms

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:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify2.4s

Counts

31 → 31

Iterations

Useful iterations: 4 (885.0ms)

Iter	Nodes	Cost
0	66	376
1	142	288
2	293	231
3	863	204
4	2907	175
done	5000	175

prune57.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (pow x 2) (fma 1/6 x 1/2) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (pow x 2) (fma 1/6 x 1/2) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (pow x 2) (fma 1/6 x 1/2) x)

simplify979.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	25	167
1	50	161
2	126	137
3	350	137
4	1531	137
done	5000	137

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(+ (exp x) 1.0)
3.2b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite109.0ms

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:

70.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
4.0ms	(+ (exp x) 1.0)
31.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series73.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
8.0ms	(+ (exp x) 1.0)
22.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	145	1493
1	352	1442
2	1000	1308
3	3786	1138
done	5000	1133

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(fma 1.0 1.0 (exp (+ x x)))
0.0b	(exp (* x 6))
3.2b	(- (exp (* x 6)) (pow 1.0 6))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`prod-diff`
19×	`add-cube-cbrt`
10×	`unpow-prod-down` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `sqr-pow`
3×	`fma-def` `fma-neg` `difference-of-squares`
1×	`+-commutative` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+` `fma-udef` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
0.0ms	(fma 1.0 1.0 (exp (+ x x)))
1.0ms	(exp (* x 6))
11.0ms	(- (exp (* x 6)) (pow 1.0 6))

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
21.0ms	(fma 1.0 1.0 (exp (+ x x)))
6.0ms	(exp (* x 6))
19.0ms	(- (exp (* x 6)) (pow 1.0 6))

simplify3.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	165	1506
1	358	1190
2	860	966
3	3752	815
done	5000	815

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

480.0ms	3437×	body	1280	valid
213.0ms	2504×	body	640	valid
99.0ms	11940×	pre	80	true
71.0ms	1233×	body	320	valid
46.0ms	4129×	body	80	valid
23.0ms	637×	body	160	valid