Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	275×	body	80	valid
3.0ms	72×	body	80	overflowed
2.0ms	7×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	6×	body	160	valid
1.0ms	3×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (log (+ 1.0 (exp x))) (* x y))
2.0ms	(+ 1.0 (exp x))
15.0ms	(log (+ 1.0 (exp x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune80.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0.1b

Counts

55 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

0.0b

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

0.0b

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
7×	`sum-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `associate-+r+` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `sub-neg` `log-prod` `diff-log` `add-cbrt-cube`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
1×	`flip3--` `associate--l+` `flip--`

Counts

3 → 46

Calls

3 calls:

7.0ms

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

8.0ms

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

6.0ms

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

series41.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

10.0ms

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

6.0ms

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	271	625
1	1051	590
2	5002	570

prune117.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.1b

Counts

58 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.1b	(exp (* x y))
0.3b	(/ (+ 1.0 (exp x)) (exp (* x y)))
1.8b	(log (/ (+ 1.0 (exp x)) (exp (* x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
8×	`distribute-lft-out` `add-log-exp`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-/l*`
3×	`associate-/r*`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `clear-num` `sum-log` `log-pow` `rem-exp-log`

Counts

4 → 82

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
2.0ms	(exp (* x y))
6.0ms	(/ (+ 1.0 (exp x)) (exp (* x y)))
5.0ms	(log (/ (+ 1.0 (exp x)) (exp (* x y))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
4.0ms	(exp (* x y))
8.0ms	(/ (+ 1.0 (exp x)) (exp (* x y)))
14.0ms	(log (/ (+ 1.0 (exp x)) (exp (* x y))))

simplify87.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	264	726
1	782	672
2	2861	656
3	5002	655

prune103.0ms

Filtered

66 candidates to 94 candidates (-42.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.1b

Counts

97 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(log (- (* 1.0 1.0) (* (exp x) (exp x))))
0.3b	(- (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))))
6.8b	(- (* 1.0 1.0) (* (exp x) (exp x)))
6.8b	(- 1.0 (exp x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `log-prod`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`log-div` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `log-pow` `associate--r+`
4×	`associate--l+` `add-cbrt-cube`
3×	`sub-neg` `diff-log`
2×	`associate--l-` `associate--r-`
1×	`rem-log-exp`

Counts

4 → 72

Calls

4 calls:

4.0ms	(log (- (* 1.0 1.0) (* (exp x) (exp x))))
9.0ms	(- (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))))
3.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
4.0ms	(- 1.0 (exp x))

series49.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(log (- (* 1.0 1.0) (* (exp x) (exp x))))
26.0ms	(- (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))))
4.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
2.0ms	(- 1.0 (exp x))

simplify76.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	307	778
1	837	725
2	2699	672
3	5001	652

prune128.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	84	3	87

Merged error: 0.1b

Counts

87 → 3

regimes87.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 14.3b

bsearch24.0ms

Steps

Iters	Range		Point
10	-12.491957682506335	-1.112244273187387e-09	-0.001093852599277222

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

end0.0ms

sample987.0ms

Algorithm

intervals

Results

382.0ms	8375×	body	80	valid
97.0ms	2450×	body	80	overflowed
82.0ms	272×	body	640	valid
71.0ms	124×	body	1280	valid
32.0ms	175×	body	320	valid
13.0ms	119×	body	160	valid

Details

sample34.0ms

simplify4.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series26.0ms

simplify51.0ms

prune80.0ms

localize15.0ms

rewrite21.0ms

series41.0ms

simplify38.0ms

prune117.0ms

localize9.0ms

rewrite21.0ms

series27.0ms

simplify87.0ms

prune103.0ms

localize12.0ms

rewrite21.0ms

series49.0ms

simplify76.0ms

prune128.0ms

regimes87.0ms

bsearch24.0ms

simplify2.0ms

end0.0ms

sample987.0ms

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