Details

sample37.0ms

Algorithm

intervals

Results

13.0ms	81×	body	1280	valid
8.0ms	54×	body	640	valid
3.0ms	163×	body	80	valid
1.0ms	20×	body	320	valid
1.0ms	13×	body	160	valid

simplify60.0ms

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: 29.9b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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))
13.0ms	(- (exp (* a x)) 1.0)

series45.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(exp (* a x))
34.0ms	(- (exp (* a x)) 1.0)

simplify86.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (81.0ms)

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

prune99.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (- (exp (* a x)) 1.0) 3))
0.0b	(pow (- (exp (* a x)) 1.0) 3)
0.0b	(exp (* a x))
3.6b	(- (exp (* a x)) 1.0)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `flip3--` `fma-neg` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `exp-prod` `exp-to-pow` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 100

Calls

4 calls:

14.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
15.0ms	(pow (- (exp (* a x)) 1.0) 3)
4.0ms	(exp (* a x))
14.0ms	(- (exp (* a x)) 1.0)

series118.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
43.0ms	(pow (- (exp (* a x)) 1.0) 3)
11.0ms	(exp (* a x))
29.0ms	(- (exp (* a x)) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	333	721
1	1342	623
2	5001	613

prune205.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.3b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
13.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series85.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (* a x))
11.0ms	(exp (* a x))
30.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)

simplify87.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	173	584
1	562	422
2	2710	400
3	5002	328

prune223.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.3b	(cbrt (pow (exp (* a x)) 3))
3.6b	(- (cbrt (pow (exp (* a x)) 3)) 1.0)
3.6b	(- (exp (* a x)) 1.0)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`add-sqr-sqrt`
54×	`prod-diff`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
18×	`fma-neg`
16×	`unpow-prod-down` `cube-prod`
10×	`add-log-exp`
6×	`difference-of-squares` `sqr-pow`
5×	`cube-mult` `unpow3`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`exp-prod` `exp-to-pow` `pow1/3` `rem-cbrt-cube` `rem-exp-log`

Counts

4 → 143

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(cbrt (pow (exp (* a x)) 3))
41.0ms	(- (cbrt (pow (exp (* a x)) 3)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series87.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (* a x))
16.0ms	(cbrt (pow (exp (* a x)) 3))
30.0ms	(- (cbrt (pow (exp (* a x)) 3)) 1.0)
30.0ms	(- (exp (* a x)) 1.0)

simplify140.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	354	1201
1	976	740
2	4767	684
3	5001	684

prune414.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.2b

regimes316.0ms

Accuracy

96.4% (0.8b remaining)

Error of 8.9b against oracle of 8.2b and baseline of 29.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	53
1	50	53

end0.0ms

sample992.0ms

Algorithm

intervals

Results

429.0ms	2688×	body	1280	valid
138.0ms	1339×	body	640	valid
110.0ms	5469×	body	80	valid
53.0ms	770×	body	320	valid
18.0ms	394×	body	160	valid