Details

sample38.0ms

Algorithm

intervals

Results

14.0ms	105×	body	1280	valid
7.0ms	81×	body	640	valid
4.0ms	375×	pre	80	true
3.0ms	46×	body	320	valid
1.0ms	125×	body	80	valid
1.0ms	18×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify67.0ms

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

prune54.0ms

Filtered

31 candidates to 18 candidates (58.1%)

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))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify34.0ms

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

prune38.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))
5.2b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite14.0ms

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)
8.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (exp x) 1.0)
65.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
39.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify89.0ms

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

prune156.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (- (exp x) 1.0))
0.2b	(exp (log (- (exp x) 1.0)))
5.2b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`log-prod`
9×	`prod-diff`
5×	`pow1` `exp-sum` `add-log-exp`
4×	`add-exp-log` `log-div` `exp-prod`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `log-pow`
1×	`sub-neg` `diff-log` `rem-log-exp` `rem-exp-log`

Counts

3 → 67

Calls

3 calls:

4.0ms	(log (- (exp x) 1.0))
5.0ms	(exp (log (- (exp x) 1.0)))
5.0ms	(- (exp x) 1.0)

series88.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(log (- (exp x) 1.0))
14.0ms	(exp (log (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	203	429
1	514	336
2	2290	322
3	5002	286

prune121.0ms

Filtered

76 candidates to 48 candidates (63.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

491.0ms	3475×	body	1280	valid
206.0ms	2452×	body	640	valid
99.0ms	11948×	pre	80	true
65.0ms	1224×	body	320	valid
50.0ms	4142×	body	80	valid
22.0ms	655×	body	160	valid