Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	94×	body	1280	valid
3.0ms	35×	body	640	valid
3.0ms	184×	body	80	valid
1.0ms	19×	body	320	valid
0.0ms	8×	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: 27.7b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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

series44.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify40.0ms

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

prune63.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.0b

localize8.0ms

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)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

7.0ms	(cbrt (- (exp (* a x)) 1.0))
12.0ms	(- (exp (* a x)) 1.0)
11.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series182.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (- (exp (* a x)) 1.0))
31.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
30.0ms	(- (exp (* a x)) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	167	460
1	491	412
2	1911	395
3	5001	391

prune395.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`cbrt-div`
6×	`flip3--` `sqrt-prod` `flip--` `difference-of-squares`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `diff-log` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 63

Calls

4 calls:

31.0ms	(cbrt (* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0))))
12.0ms	(- (exp (* a x)) 1.0)
11.0ms	(- (exp (* a x)) 1.0)
17.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series746.0ms

Counts

4 → 12

Calls

4 calls:

633.0ms	(cbrt (* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0))))
30.0ms	(- (exp (* a x)) 1.0)
30.0ms	(- (exp (* a x)) 1.0)
52.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	336	859
1	1347	781
2	5002	764

prune258.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

14.0ms	(- (exp (* a x)) 1.0)
11.0ms	(- (exp (* a x)) 1.0)
17.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))
11.0ms	(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* a x))) (sqrt 1.0)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (exp (* a x)) 1.0)
30.0ms	(- (exp (* a x)) 1.0)
52.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))
109.0ms	(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* a x))) (sqrt 1.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	268	568
1	963	509
2	3942	501
3	5001	501

prune303.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.0b

regimes255.0ms

Accuracy

94.1% (1.2b remaining)

Error of 9.3b against oracle of 8.1b and baseline of 29.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	25
1	41	25

end0.0ms

sample928.0ms

Algorithm

intervals

Results

390.0ms	2616×	body	1280	valid
120.0ms	1299×	body	640	valid
101.0ms	5572×	body	80	valid
46.0ms	761×	body	320	valid
19.0ms	415×	body	160	valid