Details

sample295.0ms

Algorithm

intervals

Results

14.0ms	406×	body	80	nan
8.0ms	231×	body	80	valid
6.0ms	187×	body	80	overflowed
2.0ms	30×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	28	7
2	40	7
3	73	7
4	176	7
5	559	7
6	2626	7
7	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
6.0b	(- (exp (* 2.0 x)) 1.0)
6.1b	(- (exp x) 1.0)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

14.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
14.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms	(- (exp (* 2.0 x)) 1.0)
6.0ms	(- (exp x) 1.0)

series201.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
61.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
25.0ms	(- (exp (* 2.0 x)) 1.0)
23.0ms	(- (exp x) 1.0)

simplify122.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	387	1380
1	1054	1314
2	4287	1301
3	5003	1293

prune324.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* 2.0 x)))
0.0b	(sqrt (exp (* 2.0 x)))
6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(sqrt (exp (* 2.0 x)))
1.0ms	(sqrt (exp (* 2.0 x)))
7.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series112.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt (exp (* 2.0 x)))
23.0ms	(sqrt (exp (* 2.0 x)))
47.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify102.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	168	382
1	414	365
2	1068	363
3	3163	361
4	5001	361

prune205.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (exp (* 2.0 x))))
0.2b	(sqrt (sqrt (exp (* 2.0 x))))
6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-prod`
22×	`add-sqr-sqrt`
16×	`sqrt-pow1`
14×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`pow1` `add-cube-cbrt`
5×	`difference-of-squares`
4×	`add-exp-log` `rem-sqrt-square` `pow1/2` `add-cbrt-cube`
3×	`distribute-lft-out--`
2×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--`

Counts

4 → 74

Calls

4 calls:

2.0ms	(sqrt (sqrt (exp (* 2.0 x))))
2.0ms	(sqrt (sqrt (exp (* 2.0 x))))
7.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series276.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (sqrt (exp (* 2.0 x))))
105.0ms	(sqrt (sqrt (exp (* 2.0 x))))
50.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify115.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	200	470
1	501	447
2	1249	445
3	3604	439
4	5002	439

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (exp (* 2.0 x))))
0.2b	(sqrt (sqrt (exp (* 2.0 x))))
6.1b	(- (* (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt (exp (* 2.0 x))))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

2.0ms	(sqrt (sqrt (exp (* 2.0 x))))
2.0ms	(sqrt (sqrt (exp (* 2.0 x))))
13.0ms	(- (* (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt (exp (* 2.0 x))))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series280.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (sqrt (exp (* 2.0 x))))
111.0ms	(sqrt (sqrt (exp (* 2.0 x))))
48.0ms	(- (* (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt (exp (* 2.0 x))))) (sqrt 1.0))
15.0ms	(- (exp x) 1.0)

simplify119.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	209	527
1	497	447
2	1279	445
3	3748	439
4	5001	439

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

78.1% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.3b

bsearch36.0ms

Steps

Iters	Range		Point
7	-0.0002940191646985452	-1.3208117009198815e-05	-0.00016456609655863793

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	26
1	32	26

end0.0ms

sample1.2s

Algorithm

intervals

Results

383.0ms	12508×	body	80	nan
245.0ms	7438×	body	80	valid
195.0ms	6617×	body	80	overflowed
57.0ms	720×	body	160	valid