Details

sample33.0ms

Algorithm

intervals

Results

14.0ms	79×	body	1280	valid
6.0ms	53×	body	640	valid
3.0ms	182×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	14×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.9b

localize4.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (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)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(- (exp x) 1.0)

simplify64.0ms

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

prune56.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/6 (pow x 3) x)
2.8b	(/ (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) x)
11.6b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma 1/6 (pow x 3) x)
2.0ms	(/ (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) x)
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series160.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(fma 1/6 (pow x 3) x)
51.0ms	(/ (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) x)
28.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	140	391
1	510	356
2	2915	356
3	5002	356

prune357.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

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))
4.9b	(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)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (exp x) 1.0)
70.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
44.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (20.0ms)

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

prune182.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (exp x) 1.0))
4.9b	(fma (- 1.0) 1.0 (exp (+ x x)))
4.9b	(fma (- 1.0) 1.0 (exp (+ x x)))
4.9b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 46

Calls

4 calls:

5.0ms	(cbrt (+ (exp x) 1.0))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (+ (exp x) 1.0))
41.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
44.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
42.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	164	341
1	474	305
2	1812	301
3	5003	299

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.2b

bsearch41.0ms

Steps

Iters	Range		Point
9	-14674.600957416102	-0.00012459925560949148	-0.00014055578619402449

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	46
1	34	46

end0.0ms

sample876.0ms

Algorithm

intervals

Results

379.0ms	2193×	body	1280	valid
180.0ms	1680×	body	640	valid
107.0ms	5601×	body	80	valid
54.0ms	793×	body	320	valid
21.0ms	399×	body	160	valid