Details

sample53.0ms

Algorithm

intervals

Results

23.0ms	120×	body	1280	valid
10.0ms	78×	body	640	valid
5.0ms	388×	pre	80	true
3.0ms	138×	body	80	valid
3.0ms	33×	body	320	valid
1.0ms	19×	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: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (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:

6.0ms

(- (exp x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (60.0ms)

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

prune55.0ms

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))

simplify36.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))
5.6b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite13.0ms

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:

4.0ms	(+ (exp x) 1.0)
7.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (exp x) 1.0)
66.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
41.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (18.0ms)

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

prune154.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp x) 1.0) 3))
0.0b	(pow (+ (exp x) 1.0) 3)
0.0b	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (cbrt (pow (+ (exp x) 1.0) 3)))
5.6b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
68×	`*-un-lft-identity`
51×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
17×	`associate-/r*`
12×	`distribute-lft-out`
7×	`add-exp-log`
6×	`cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `sqr-pow`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

6.0ms	(cbrt (pow (+ (exp x) 1.0) 3))
6.0ms	(pow (+ (exp x) 1.0) 3)
16.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (cbrt (pow (+ (exp x) 1.0) 3)))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (pow (+ (exp x) 1.0) 3))
32.0ms	(pow (+ (exp x) 1.0) 3)
67.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (cbrt (pow (+ (exp x) 1.0) 3)))
44.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	381	1705
1	1444	1587
2	5001	1561

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

686.0ms	3401×	body	1280	valid
327.0ms	2488×	body	640	valid
132.0ms	12029×	pre	80	true
112.0ms	1279×	body	320	valid
90.0ms	4226×	body	80	valid
36.0ms	635×	body	160	valid