Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	81×	body	1280	valid
5.0ms	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	26	3
3	48	3
4	110	3
5	318	3
6	1623	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)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

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

simplify41.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune69.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.5b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`difference-of-squares`
14×	`*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod` `add-log-exp`
8×	`sqr-pow`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 64

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
39.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series86.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (* a x))
11.0ms	(exp (* a x))
11.0ms	(exp (* a x))
52.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify105.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	207	469
1	647	457
2	3082	456
3	5001	456

prune203.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.3b	(cbrt (pow (exp (* a x)) 3))
3.5b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`difference-of-squares`
15×	`unpow-prod-down` `cube-prod`
12×	`cbrt-prod`
10×	`add-log-exp`
9×	`sqr-pow`
7×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `cube-mult` `sub-neg` `flip3--` `pow1/3` `diff-log` `unpow3` `flip--` `rem-cbrt-cube`

Counts

4 → 75

Calls

4 calls:

6.0ms	(exp (* a x))
4.0ms	(exp (* a x))
4.0ms	(cbrt (pow (exp (* a x)) 3))
36.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series84.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
11.0ms	(exp (* a x))
11.0ms	(cbrt (pow (exp (* a x)) 3))
49.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	243	546
1	838	533
2	5001	530

prune233.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.3b	(cbrt (pow (exp (* a x)) 3))
3.6b	(- (pow (exp (* a x)) 3/2) (sqrt (pow 1.0 3)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
15×	`difference-of-squares`
12×	`cbrt-prod` `sqrt-prod`
11×	`unpow-prod-down`
10×	`add-log-exp`
9×	`*-un-lft-identity` `sqr-pow`
7×	`add-cube-cbrt`
6×	`cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`cube-mult` `sub-neg` `flip3--` `pow1/3` `diff-log` `unpow3` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 69

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
6.0ms	(cbrt (pow (exp (* a x)) 3))
35.0ms	(- (pow (exp (* a x)) 3/2) (sqrt (pow 1.0 3)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (* a x))
12.0ms	(exp (* a x))
11.0ms	(cbrt (pow (exp (* a x)) 3))
92.0ms	(- (pow (exp (* a x)) 3/2) (sqrt (pow 1.0 3)))

simplify102.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	236	547
1	732	533
2	2891	527
3	5002	527

prune247.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.2b

regimes312.0ms

Accuracy

96.2% (0.8b remaining)

Error of 8.9b against oracle of 8.1b and baseline of 29.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	54
1	63	54

end0.0ms

sample1.0s

Algorithm

intervals

Results

430.0ms	2688×	body	1280	valid
141.0ms	1339×	body	640	valid
112.0ms	5469×	body	80	valid
51.0ms	770×	body	320	valid
18.0ms	394×	body	160	valid