Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	60×	body	1280	valid
8.0ms	49×	body	640	valid
5.0ms	41×	body	320	valid
4.0ms	91×	body	80	valid
3.0ms	80×	body	80	overflowed
1.0ms	15×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.6b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 67

Calls

2 calls:

8.0ms	(/ (exp x) (- (exp x) 1.0))
5.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (exp x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

simplify196.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (188.0ms)

Iter	Nodes	Cost
0	237	520
1	786	429
2	4651	416
3	5001	404

prune149.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x (/ 1 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 1/12 x (/ 1 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fma 1/12 x (/ 1 x))

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	43
1	49	38
2	150	38
3	482	38
4	2338	38
5	5002	38

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.6b	(- 1 (/ 1.0 (exp x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
70×	`times-frac`
59×	`add-cube-cbrt`
39×	`prod-diff`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`div-inv` `distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 145

Calls

3 calls:

3.0ms	(/ 1.0 (exp x))
17.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
10.0ms	(- 1 (/ 1.0 (exp x)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1.0 (exp x))
47.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
38.0ms	(- 1 (/ 1.0 (exp x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	552	1839
1	2298	1281
2	5001	1188

prune184.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1.0))))
4.6b	(- (exp x) 1.0)
4.8b	(log (exp (- (exp x) 1.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
18×	`prod-diff`
14×	`log-prod`
11×	`exp-sum`
9×	`associate-/r*`
8×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `associate-/l*`
2×	`sub-neg`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 112

Calls

3 calls:

21.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
5.0ms	(- (exp x) 1.0)
13.0ms	(log (exp (- (exp x) 1.0)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
14.0ms	(- (exp x) 1.0)
15.0ms	(log (exp (- (exp x) 1.0)))

simplify198.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	316	944
1	904	734
2	4679	655
3	5001	655

prune211.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

96.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

537.0ms	2281×	body	1280	valid
272.0ms	1654×	body	640	valid
115.0ms	2874×	body	80	valid
102.0ms	2523×	body	80	overflowed
93.0ms	809×	body	320	valid
35.0ms	382×	body	160	valid