Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample75.0ms

Algorithm

intervals

Results

59.0ms	182×	body	1280	valid
7.0ms	38×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	2×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 32.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (neg x)) 2.0)
4.3b	(+ (exp x) (- (exp (neg x)) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

9.0ms	(- (exp (neg x)) 2.0)
8.0ms	(+ (exp x) (- (exp (neg x)) 2.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(- (exp (neg x)) 2.0)
7.0ms	(+ (exp x) (- (exp (neg x)) 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5069	335

prune51.0ms

Filtered

25 candidates to 35 candidates (-40.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 63

Calls

3 calls:

6.0ms	(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series13.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5048	654

prune103.0ms

Filtered

46 candidates to 72 candidates (-56.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0b

Counts

74 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))) (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
27.8b	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
27.8b	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
27.8b	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))) (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
6.0ms	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
6.0ms	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
6.0ms	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))) (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
15.0ms	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
15.0ms	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
15.0ms	(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5083	2790

prune384.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (exp (neg x)) 2.0)
0.2b	(exp (log (+ (exp x) (- (exp (neg x)) 2.0))))
4.3b	(+ (exp x) (- (exp (neg x)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `log-prod` `exp-sum`
4×	`pow1` `exp-prod` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`sub-neg` `log-div` `flip3-+` `exp-diff` `diff-log` `sum-log` `flip-+`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `log-pow` `flip--` `rem-exp-log` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

5.0ms	(- (exp (neg x)) 2.0)
8.0ms	(exp (log (+ (exp x) (- (exp (neg x)) 2.0))))
8.0ms	(+ (exp x) (- (exp (neg x)) 2.0))

series16.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(- (exp (neg x)) 2.0)
7.0ms	(exp (log (+ (exp x) (- (exp (neg x)) 2.0))))
7.0ms	(+ (exp x) (- (exp (neg x)) 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4874	579
1	4874	579

prune62.0ms

Filtered

38 candidates to 57 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	57	3	60

Merged error: 0b

Counts

60 → 3

regimes32.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	15
1	16	15

end0.0ms

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample2.5s

Algorithm

intervals

Results

2.1s	5771×	body	1280	valid
217.0ms	1187×	body	640	valid
66.0ms	580×	body	320	valid
27.0ms	299×	body	160	valid
6.0ms	163×	body	80	valid

Details

analyze4.0ms

sample75.0ms

simplify3.0ms

prune8.0ms

localize6.0ms

rewrite17.0ms

series9.0ms

simplify44.0ms

prune51.0ms

localize10.0ms

rewrite18.0ms

series13.0ms

simplify43.0ms

prune103.0ms

localize15.0ms

rewrite38.0ms

series62.0ms

simplify53.0ms

prune384.0ms

localize9.0ms

rewrite23.0ms

series16.0ms

simplify45.0ms

prune62.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample2.5s

Profiling