Details

sample332.0ms

Algorithm

intervals

Results

21.0ms	416×	body	80	nan
15.0ms	243×	body	80	valid
11.0ms	232×	body	80	overflowed
2.0ms	19×	body	160	valid

simplify71.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.1b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.3b	(- (exp (* 2.0 x)) 1.0)
4.4b	(- (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:

21.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
15.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms	(- (exp (* 2.0 x)) 1.0)
6.0ms	(- (exp x) 1.0)

series200.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
60.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
26.0ms	(- (exp (* 2.0 x)) 1.0)
23.0ms	(- (exp x) 1.0)

simplify124.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (110.0ms)

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

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 1))
0.0b	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.4b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.4b	(- (exp x) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
33×	`sqrt-prod`
27×	`add-sqr-sqrt`
17×	`times-frac`
13×	`add-cube-cbrt`
10×	`add-log-exp`
8×	`distribute-lft-out`
5×	`pow1` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube`
3×	`rem-sqrt-square` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `sum-log` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

12.0ms	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 1))
6.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
9.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series185.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 1))
41.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
49.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify92.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	309	746
1	946	698
2	3752	656
3	5002	628

prune243.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.4b	(- (exp x) 1.0)
4.4b	(- (exp x) 1.0)
4.4b	(- (exp x) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

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

series92.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)
17.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)

simplify95.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	156	394
1	399	367
2	1035	363
3	2831	363
4	5002	363

prune263.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

4.3b	(- (exp (* 2.0 x)) 1.0)
4.4b	(- (exp x) 1.0)
4.4b	(- (exp x) 1.0)
4.4b	(- (exp x) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series71.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (exp (* 2.0 x)) 1.0)
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)
18.0ms	(- (exp x) 1.0)

simplify95.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	139	312
1	321	289
2	893	284
3	2766	284
4	5001	284

prune216.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

85.9% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 3.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms

sample1.8s

Algorithm

intervals

Results

660.0ms	12778×	body	80	nan
406.0ms	7427×	body	80	valid
330.0ms	6672×	body	80	overflowed
89.0ms	700×	body	160	valid