Details

sample337.0ms

Algorithm

intervals

Results

51.0ms	201×	body	10240	exit
14.0ms	418×	body	80	nan
10.0ms	243×	body	80	valid
2.0ms	18×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

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))
3.8b	(- (exp (* 2.0 x)) 1.0)
3.9b	(- (exp x) 1.0)

rewrite45.0ms

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:

13.0ms	(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)
7.0ms	(- (exp x) 1.0)

series199.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
54.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
33.0ms	(- (exp (* 2.0 x)) 1.0)
23.0ms	(- (exp x) 1.0)

simplify123.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (107.0ms)

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

prune331.0ms

Filtered

135 candidates to 92 candidates (68.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))
3.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.9b	(- (exp x) 1.0)

rewrite33.0ms

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 1))
43.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
45.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify90.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (82.0ms)

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

prune243.0ms

Filtered

89 candidates to 54 candidates (60.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.9b	(- (exp x) 1.0)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
46.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
49.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify96.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	156	606
1	399	565
2	1035	561
3	2831	561
4	5002	561

prune272.0ms

Filtered

80 candidates to 51 candidates (63.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.9b	(- (exp x) 1.0)
3.9b	(- (exp x) 1.0)
3.9b	(- (exp x) 1.0)

rewrite21.0ms

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)

series90.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
13.0ms	(- (exp x) 1.0)
17.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)

simplify93.0ms

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

prune252.0ms

Filtered

72 candidates to 49 candidates (68.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

80.6% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.7b

bsearch46.0ms

Steps

Iters	Range		Point
8	-5.097960459803195e-05	-1.4117940793321767e-07	-1.3208543123846857e-05

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	22
1	35	22

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	6712×	body	10240	exit
408.0ms	12719×	body	80	nan
252.0ms	7391×	body	80	valid
63.0ms	745×	body	160	valid