Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample38.0ms

Algorithm

intervals

Results

16.0ms	59×	body	1280	valid
5.0ms	28×	body	640	valid
5.0ms	128×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	16×	body	160	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4926	10
1	4926	10

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 29.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
3.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 59

Calls

3 calls:

5.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms	(+ 1.0 (exp (* -2.0 x)))
10.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series17.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.0ms	(+ 1.0 (exp (* -2.0 x)))
9.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5097	834

prune155.0ms

Filtered

53 candidates to 68 candidates (-28.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 0b

Counts

69 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (pow (exp -2.0) x))
0.0b	(pow (exp -2.0) x)
3.7b	(log (exp (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
3.8b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
9×	`add-cube-cbrt` `exp-prod`
8×	`add-log-exp`
7×	`log-pow`
6×	`pow1`
4×	`add-exp-log` `log-prod` `pow-pow` `add-cbrt-cube` `difference-of-squares`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `times-frac` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `log-div` `flip3--` `flip3-+` `exp-diff` `diff-log` `rem-log-exp` `exp-sum` `pow-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

5.0ms	(+ 1.0 (pow (exp -2.0) x))
3.0ms	(pow (exp -2.0) x)
14.0ms	(log (exp (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
12.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ 1.0 (pow (exp -2.0) x))
3.0ms	(pow (exp -2.0) x)
11.0ms	(log (exp (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
12.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4926	805
1	4926	805

prune159.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	78	2	80

Merged error: 0b

Counts

80 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
0.1b	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate--r+` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

2 → 48

Calls

2 calls:

4.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
8.0ms	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
8.0ms	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

simplify54.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4995	694
1	4995	694

prune82.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Merged error: 0b

Counts

56 → 2

regimes130.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.1b

bsearch38.0ms

Steps

Iters	Range		Point
9	1.8738956018419023e-09	5.225095422798747	0.0006423116001531665
10	-10904.142956026957	-2.8612890116033334e-08	-0.000783981168693726

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	181	34
1	181	34

end0.0ms

sample1.1s

Algorithm

intervals

Results

451.0ms	1698×	body	1280	valid
223.0ms	1240×	body	640	valid
162.0ms	4136×	body	80	valid
81.0ms	635×	body	320	valid
24.0ms	291×	body	160	valid

Details

analyze2.0ms

sample38.0ms

simplify42.0ms

prune8.0ms

localize7.0ms

rewrite21.0ms

series17.0ms

simplify49.0ms

prune155.0ms

localize13.0ms

rewrite35.0ms

series31.0ms

simplify63.0ms

prune159.0ms

localize9.0ms

rewrite13.0ms

series13.0ms

simplify54.0ms

prune82.0ms

regimes130.0ms

bsearch38.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling