Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	111×	body	1280	valid
6.0ms	77×	body	640	valid
4.0ms	385×	pre	80	true
2.0ms	44×	body	320	valid
2.0ms	135×	body	80	valid
1.0ms	18×	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: 58.6b

localize3.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify2.2s

Counts

31 → 31

Iterations

Useful iterations: 4 (608.0ms)

Iter	Nodes	Cost
0	66	376
1	138	288
2	288	231
3	861	204
4	2830	175
done	5000	175

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

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 1/6 x 1/2)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma 1/6 x 1/2)

simplify2.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	15	78
1	18	75
2	41	67
3	107	67
4	297	67
5	964	67
6	2941	67
done	5000	67

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
4.7b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

131×	`sqrt-prod`
108×	`prod-diff`
104×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
84×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
8×	`pow1` `sqrt-pow1` `difference-of-squares`
6×	`add-exp-log` `exp-prod` `fma-neg` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`rem-sqrt-square` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 210

Calls

4 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
55.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
10.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
96.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
37.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify746.0ms

Counts

222 → 222

Iterations

Useful iterations: done (738.0ms)

Iter	Nodes	Cost
0	219	5936
1	600	4299
2	1788	3205
done	5000	3085

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
4.6b	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt (exp x))
1.0ms	(cbrt (exp x))
7.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
0.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

series476.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt (exp x))
80.0ms	(cbrt (exp x))
95.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
217.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- 1.0))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: 4 (680.0ms)

Iter	Nodes	Cost
0	86	844
1	159	770
2	377	640
3	1010	563
4	2976	498
done	5000	498

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes39.0ms

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

519.0ms	3464×	body	1280	valid
217.0ms	2483×	body	640	valid
104.0ms	11929×	pre	80	true
70.0ms	1245×	body	320	valid
50.0ms	4145×	body	80	valid
20.0ms	592×	body	160	valid