Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	93×	body	1280	valid
4.0ms	36×	body	640	valid
3.0ms	178×	body	80	valid
1.0ms	16×	body	320	valid
1.0ms	14×	body	160	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	27	3
3	50	3
4	115	3
5	329	3
6	1642	3
7	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.6b	(- (exp (* a x)) 1.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
6×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

4.0ms	(exp (* a x))
14.0ms	(- (exp (* a x)) 1.0)

series42.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(exp (* a x))
31.0ms	(- (exp (* a x)) 1.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	173	292
1	562	211
2	2710	200
3	5002	164

prune90.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
3.6b	(- (exp (* a x)) 1.0)
3.6b	(- (exp (* a x)) 1.0)
3.6b	(- (exp (* a x)) 1.0)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

7.0ms	(cbrt (- (exp (* a x)) 1.0))
16.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series185.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (- (exp (* a x)) 1.0))
30.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
32.0ms	(- (exp (* a x)) 1.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	227	927
1	730	660
2	3541	616
3	5001	569

prune272.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (exp (cbrt (- (exp (* a x)) 1.0))))
3.6b	(- (exp (* a x)) 1.0)
3.6b	(- (exp (* a x)) 1.0)
3.6b	(- (exp (* a x)) 1.0)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

23.0ms	(log (exp (cbrt (- (exp (* a x)) 1.0))))
14.0ms	(- (exp (* a x)) 1.0)
16.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series179.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log (exp (cbrt (- (exp (* a x)) 1.0))))
30.0ms	(- (exp (* a x)) 1.0)
30.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify108.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	253	943
1	767	663
2	3611	619
3	5001	572

prune313.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.6b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (exp (* a x)) 1.0)
3.6b	(- (exp (* a x)) 1.0)
3.6b	(- (exp (* a x)) 1.0)
3.9b	(log (exp (- (exp (* a x)) 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

15.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)
13.0ms	(- (exp (* a x)) 1.0)
30.0ms	(log (exp (- (exp (* a x)) 1.0)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (exp (* a x)) 1.0)
32.0ms	(- (exp (* a x)) 1.0)
29.0ms	(- (exp (* a x)) 1.0)
30.0ms	(log (exp (- (exp (* a x)) 1.0)))

simplify92.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	225	1029
1	633	701
2	2823	551
3	5001	515

prune332.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.6b

regimes299.0ms

Accuracy

94.4% (1.2b remaining)

Error of 9.9b against oracle of 8.7b and baseline of 29.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	30
1	34	30

end0.0ms

sample964.0ms

Algorithm

intervals

Results

418.0ms	2761×	body	1280	valid
134.0ms	1369×	body	640	valid
98.0ms	5401×	body	80	valid
44.0ms	726×	body	320	valid
17.0ms	393×	body	160	valid