Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	70×	body	1280	valid
6.0ms	57×	body	640	valid
2.0ms	28×	body	320	valid
2.0ms	87×	body	80	overflowed
2.0ms	87×	body	80	valid
1.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
3.6b	(- (exp x) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 67

Calls

2 calls:

20.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series36.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (exp x) (- (exp x) 1.0))
13.0ms	(- (exp x) 1.0)

simplify184.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (178.0ms)

Iter	Nodes	Cost
0	237	520
1	786	429
2	4651	416
3	5001	404

prune144.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x (/ 1 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 1/12 x (/ 1 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma 1/12 x (/ 1 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	43
1	49	38
2	150	38
3	482	38
4	2338	38
5	5002	38

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
0.0b	(/ (exp x) (/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))))
0.0b	(pow (exp x) 3)
3.5b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

717×	`add-sqr-sqrt`
612×	`times-frac`
479×	`*-un-lft-identity`
309×	`add-cube-cbrt`
282×	`unpow-prod-down` `cube-prod`
272×	`difference-of-squares`
162×	`sqr-pow`
144×	`prod-diff`
85×	`distribute-lft-out--`
82×	`associate-/r*`
28×	`associate-/l*`
26×	`cube-mult` `unpow3`
17×	`difference-cubes`
12×	`fma-neg` `add-cbrt-cube`
9×	`add-exp-log`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `pow-pow` `div-exp` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`pow-to-exp` `sub-neg` `diff-log` `div-sub` `pow-exp` `associate-/r/` `rem-cube-cbrt`

Counts

4 → 676

Calls

4 calls:

91.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
58.0ms	(/ (exp x) (/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))))
4.0ms	(pow (exp x) 3)
42.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series246.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
104.0ms	(/ (exp x) (/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))))
21.0ms	(pow (exp x) 3)
34.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify151.0ms

Algorithm

egg-herbie

Counts

688 → 688

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1625	12703
1	5001	11880

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 21.0b

bsearch34.0ms

Steps

Iters	Range		Point
9	-1500.694570789724	-8.340668492905662e-07	-0.0016580727144551504

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample937.0ms

Algorithm

intervals

Results

388.0ms	2253×	body	1280	valid
187.0ms	1676×	body	640	valid
57.0ms	829×	body	320	valid
56.0ms	2822×	body	80	valid
49.0ms	2556×	body	80	overflowed
19.0ms	422×	body	160	valid