Details

sample36.0ms

Algorithm

intervals

Results

16.0ms	94×	body	1280	valid
4.0ms	184×	body	80	valid
4.0ms	35×	body	640	valid
1.0ms	19×	body	320	valid
0.0ms	8×	body	160	valid

simplify61.0ms

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: 27.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
2.5b	(- (exp (* a x)) 1.0)

rewrite19.0ms

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)

series48.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
36.0ms	(- (exp (* a x)) 1.0)

simplify81.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (77.0ms)

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

prune100.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (exp (* a x)) 1.0))
2.5b	(- (exp (* a x)) 1.0)
2.5b	(- (exp (* a x)) 1.0)
2.5b	(- (exp (* a x)) 1.0)

rewrite56.0ms

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:

10.0ms	(cbrt (- (exp (* a x)) 1.0))
15.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series196.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (- (exp (* a x)) 1.0))
37.0ms	(- (exp (* a x)) 1.0)
32.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify106.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (98.0ms)

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

prune287.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0)))
2.5b	(- (exp (* a x)) 1.0)
2.5b	(- (exp (* a x)) 1.0)
2.5b	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
8×	`add-log-exp`
6×	`fma-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3` `fma-udef`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0)))
14.0ms	(- (exp (* a x)) 1.0)
15.0ms	(- (exp (* a x)) 1.0)
0.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

series281.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0)))
38.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
78.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	233	753
1	762	554
2	3782	522
3	5002	490

prune298.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (exp (* a x)) 1.0)
2.5b	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))
2.5b	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))
2.5b	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

17.0ms	(- (exp (* a x)) 1.0)
0.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))
0.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))
0.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

series263.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (exp (* a x)) 1.0)
78.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))
77.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))
75.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	174	436
1	564	346
2	2855	335
3	5002	299

prune297.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.0b

regimes297.0ms

Accuracy

93.9% (1.3b remaining)

Error of 9.3b against oracle of 8.1b and baseline of 29.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample1.0s

Algorithm

intervals

Results

436.0ms	2616×	body	1280	valid
142.0ms	1299×	body	640	valid
120.0ms	5572×	body	80	valid
54.0ms	761×	body	320	valid
20.0ms	415×	body	160	valid