Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	115×	body	1280	valid
7.0ms	82×	body	640	valid
6.0ms	378×	pre	80	true
2.0ms	30×	body	320	valid
1.0ms	124×	body	80	valid
1.0ms	27×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize3.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) 1.0)

rewrite12.0ms

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:

11.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify59.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) 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 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify32.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
6.7b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

9.0ms	(+ (exp x) 1.0)
18.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (exp x) 1.0)
69.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
42.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	217	568
1	607	522
2	2817	511
3	5003	511

prune144.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (fma (- 1.0) 1.0 (exp (+ x x)))) (sqrt (+ (exp x) 1.0)))
0.0b	(/ (sqrt (fma (- 1.0) 1.0 (exp (+ x x)))) (sqrt (+ (exp x) 1.0)))
6.7b	(fma (- 1.0) 1.0 (exp (+ x x)))
6.7b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

104×	`sqrt-prod`
92×	`*-un-lft-identity`
84×	`times-frac`
64×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`associate-/r*` `distribute-lft-out`
12×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `sqrt-div` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sqrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

4 → 164

Calls

4 calls:

18.0ms	(/ (sqrt (fma (- 1.0) 1.0 (exp (+ x x)))) (sqrt (+ (exp x) 1.0)))
18.0ms	(/ (sqrt (fma (- 1.0) 1.0 (exp (+ x x)))) (sqrt (+ (exp x) 1.0)))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (sqrt (fma (- 1.0) 1.0 (exp (+ x x)))) (sqrt (+ (exp x) 1.0)))
87.0ms	(/ (sqrt (fma (- 1.0) 1.0 (exp (+ x x)))) (sqrt (+ (exp x) 1.0)))
42.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
48.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify97.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	239	2590
1	707	2422
2	3589	2326
3	5003	2326

prune380.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

469.0ms	3478×	body	1280	valid
202.0ms	2472×	body	640	valid
92.0ms	12049×	pre	80	true
62.0ms	1264×	body	320	valid
45.0ms	4223×	body	80	valid
23.0ms	612×	body	160	valid