Details

sample41.0ms

Algorithm

intervals

Results

16.0ms	113×	body	1280	valid
9.0ms	73×	body	640	valid
3.0ms	374×	pre	80	true
2.0ms	45×	body	320	valid
1.0ms	124×	body	80	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize3.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (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)

simplify61.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (58.0ms)

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify38.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
6.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

131×	`sqrt-prod`
108×	`prod-diff`
104×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
84×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
8×	`pow1` `sqrt-pow1` `difference-of-squares`
6×	`add-exp-log` `exp-prod` `fma-neg` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`rem-sqrt-square` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 210

Calls

4 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
60.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
10.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
98.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
42.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	607	3803
1	2679	2741
2	5002	2459

prune270.0ms

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	(exp (- (exp x) 1.0))
6.7b	(log (exp (- (exp x) 1.0)))
6.7b	(- (exp x) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
22×	`exp-sum`
14×	`log-prod`
10×	`exp-prod`
8×	`add-log-exp`
6×	`log-pow`
4×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `sub-neg` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 87

Calls

3 calls:

13.0ms	(exp (- (exp x) 1.0))
13.0ms	(log (exp (- (exp x) 1.0)))
5.0ms	(- (exp x) 1.0)

series69.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(exp (- (exp x) 1.0))
19.0ms	(log (exp (- (exp x) 1.0)))
15.0ms	(- (exp x) 1.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	217	650
1	577	432
2	2489	335
3	5001	293

prune126.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

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

sample1.1s

Algorithm

intervals

Results

498.0ms	3471×	body	1280	valid
216.0ms	2452×	body	640	valid
106.0ms	11967×	pre	80	true
63.0ms	1220×	body	320	valid
48.0ms	4163×	body	80	valid
22.0ms	661×	body	160	valid