Details

analyze2.0ms

Algorithm

Search

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

sample37.0ms

Algorithm

intervals

Results

15.0ms	59×	body	1280	valid
6.0ms	35×	body	640	valid
4.0ms	124×	body	80	valid
4.0ms	31×	body	320	valid
1.0ms	7×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5238	10

prune6.0ms

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: 31.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.3b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4993	703
1	4993	703

prune116.0ms

Filtered

41 candidates to 53 candidates (-29.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0.0b

Counts

54 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
0.7b	(* 5.551115123125783e-17 (pow x 4))
8.6b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 80

Calls

4 calls:

6.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms	(* 0.33333333333333337 (pow x 3))
5.0ms	(* 5.551115123125783e-17 (pow x 4))
5.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
4.0ms	(* 0.33333333333333337 (pow x 3))
4.0ms	(* 5.551115123125783e-17 (pow x 4))
9.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify33.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4943	921
1	4943	921

prune130.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)) (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
3.3b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
3.3b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
3.3b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
32×	`cbrt-prod` `*-un-lft-identity`
14×	`difference-of-squares`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1` `swap-sqr`
10×	`add-log-exp`
9×	`flip3--` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log` `pow1/3`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

27.0ms	(* (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)) (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

series69.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)) (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
10.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
10.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

simplify49.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5057	2225

prune386.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (cbrt (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0))) 4)
3.3b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
3.3b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
3.3b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`cbrt-prod`
12×	`unpow-prod-down`
10×	`add-log-exp`
8×	`add-cube-cbrt` `difference-of-squares`
5×	`pow1` `add-exp-log`
4×	`times-frac` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `pow-unpow` `flip3--` `diff-log` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

14.0ms	(pow (cbrt (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0))) 4)
12.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
13.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

series73.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(pow (cbrt (cbrt (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0))) 4)
10.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
10.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4922	1356
1	4922	1356

prune332.0ms

Filtered

60 candidates to 81 candidates (-35.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

regimes139.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.4b

bsearch35.0ms

Steps

Iters	Range		Point
9	1.2566227802623575e-08	0.002567062139418591	0.0007021226027018857
8	-0.030532012726681528	-5.35089283520546e-05	-0.0007193271414721635

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	125	96
1	125	96

end0.0ms

sample1.0s

Algorithm

intervals

Results

437.0ms	1697×	body	1280	valid
216.0ms	1227×	body	640	valid
147.0ms	4160×	body	80	valid
72.0ms	603×	body	320	valid
24.0ms	313×	body	160	valid

Details

analyze2.0ms

sample37.0ms

simplify73.0ms

prune6.0ms

localize7.0ms

rewrite16.0ms

series13.0ms

simplify54.0ms

prune116.0ms

localize11.0ms

rewrite24.0ms

series22.0ms

simplify33.0ms

prune130.0ms

localize13.0ms

rewrite64.0ms

series69.0ms

simplify49.0ms

prune386.0ms

localize18.0ms

rewrite52.0ms

series73.0ms

simplify55.0ms

prune332.0ms

regimes139.0ms

bsearch35.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling