Details

sample35.0ms

Algorithm

intervals

Results

14.0ms	87×	body	1280	valid
7.0ms	186×	body	80	valid
4.0ms	40×	body	640	valid
1.0ms	21×	body	320	valid
0.0ms	11×	body	160	valid

simplify59.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b	(- (exp (* a x)) 1.0)

rewrite5.0ms

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:

4.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify79.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	162	253
1	526	172
2	2608	161
3	5002	125

prune67.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.1b

localize8.0ms

Local error

Found 2 expressions with local error:

3.4b	(log (exp (- (exp (* a x)) 1.0)))
3.4b	(- (exp (* a x)) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

5.0ms	(log (exp (- (exp (* a x)) 1.0)))
5.0ms	(- (exp (* a x)) 1.0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(log (exp (- (exp (* a x)) 1.0)))
33.0ms	(- (exp (* a x)) 1.0)

simplify93.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	225	523
1	631	357
2	2840	283
3	5001	265

prune119.0ms

Filtered

65 candidates to 35 candidates (53.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 8.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b	(- (exp (* a 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 (* a x)) 1.0)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	162	253
1	526	172
2	2608	161
3	5002	125

prune49.0ms

Filtered

31 candidates to 14 candidates (45.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 8.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* a x)))
0.0b	(sqrt (exp (* a x)))
3.4b	(log (exp (fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))))
3.5b	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-pow1` `sqrt-prod` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `expm1-log1p-u` `log-prod` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
2×	`rem-sqrt-square` `exp-to-pow` `pow1/2` `fma-udef`
1×	`rem-log-exp` `exp-sum`

Counts

4 → 62

Calls

4 calls:

2.0ms	(sqrt (exp (* a x)))
2.0ms	(sqrt (exp (* a x)))
2.0ms	(log (exp (fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))))
1.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(sqrt (exp (* a x)))
21.0ms	(sqrt (exp (* a x)))
83.0ms	(log (exp (fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))))
80.0ms	(fma (sqrt (exp (* a x))) (sqrt (exp (* a x))) (- 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	142	495
1	382	428
2	1380	428
3	5002	426

prune202.0ms

Filtered

74 candidates to 55 candidates (74.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 8.1b

regimes250.0ms

Accuracy

94.8% (1.1b remaining)

Error of 9.5b against oracle of 8.4b and baseline of 30.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample959.0ms

Algorithm

intervals

Results

446.0ms	2775×	body	1280	valid
137.0ms	1340×	body	640	valid
109.0ms	5414×	body	80	valid
52.0ms	753×	body	320	valid
18.0ms	401×	body	160	valid