Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	96×	body	1280	valid
3.0ms	35×	body	640	valid
3.0ms	174×	body	80	valid
1.0ms	18×	body	320	valid
1.0ms	15×	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: 28.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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:

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

series50.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(exp (* a x))
34.0ms	(- (exp (* a x)) 1.0)

simplify85.0ms

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

prune91.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.4b

localize11.0ms

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)

rewrite20.0ms

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:

3.0ms	(cbrt (- (exp (* a x)) 1.0))
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series200.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (- (exp (* a x)) 1.0))
33.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (100.0ms)

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

prune286.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.4b

localize13.0ms

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)
3.7b	(log (exp (- (exp (* a x)) 1.0)))

rewrite33.0ms

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:

5.0ms	(- (exp (* a x)) 1.0)
8.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
12.0ms	(log (exp (- (exp (* a x)) 1.0)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
36.0ms	(log (exp (- (exp (* a x)) 1.0)))

simplify96.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 3 (85.0ms)

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

prune324.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (exp (* a x)) 1.0)
3.6b	(- (exp (* a x)) 1.0)
3.7b	(log (sqrt (exp (- (exp (* a x)) 1.0))))
3.7b	(log (sqrt (exp (- (exp (* a x)) 1.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
34×	`log-prod`
28×	`sqrt-prod`
22×	`exp-sum`
16×	`log-pow`
12×	`sqrt-pow1`
10×	`exp-prod`
8×	`pow1` `add-log-exp`
6×	`add-exp-log` `fma-neg`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 128

Calls

4 calls:

5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
16.0ms	(log (sqrt (exp (- (exp (* a x)) 1.0))))
13.0ms	(log (sqrt (exp (- (exp (* a x)) 1.0))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
99.0ms	(log (sqrt (exp (- (exp (* a x)) 1.0))))
99.0ms	(log (sqrt (exp (- (exp (* a x)) 1.0))))

simplify106.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	272	1390
1	738	1068
2	3244	934
3	5001	802

prune407.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.3b

regimes470.0ms

Accuracy

95.5% (0.9b remaining)

Error of 9.4b against oracle of 8.4b and baseline of 29.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	77
1	52	77

end0.0ms

sample919.0ms

Algorithm

intervals

Results

423.0ms	2682×	body	1280	valid
134.0ms	1336×	body	640	valid
109.0ms	5531×	body	80	valid
49.0ms	727×	body	320	valid
17.0ms	391×	body	160	valid