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

sample77.0ms

Algorithm

intervals

Results

61.0ms	192×	body	1280	valid
6.0ms	33×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	4×	body	80	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5405	8

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: 24.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.7b	(+ (- (exp x) 2.0) (exp (neg x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `associate-+l+` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 33

Calls

2 calls:

4.0ms	(- (exp x) 2.0)
11.0ms	(+ (- (exp x) 2.0) (exp (neg x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4999	423
1	4999	423

prune67.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

5.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
7.0ms	(+ (* 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))

series27.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
6.0ms	(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
7.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))

simplify41.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5625	851

prune137.0ms

Filtered

56 candidates to 86 candidates (-53.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (exp x) 2.0))
0.0b	(log (exp (- (exp x) 2.0)))
0.0b	(- (exp x) 2.0)
3.9b	(+ (log (exp (- (exp x) 2.0))) (exp (neg x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

5.0ms	(exp (- (exp x) 2.0))
5.0ms	(log (exp (- (exp x) 2.0)))
4.0ms	(- (exp x) 2.0)
12.0ms	(+ (log (exp (- (exp x) 2.0))) (exp (neg x)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4880	568
1	4880	568

prune105.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0b

Counts

82 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0)))) (* (exp x) (+ (exp x) 2.0)))
0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0))))
2.9b	(+ 1 (* (exp x) (- (exp x) 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube`
17×	`add-exp-log`
14×	`add-sqr-sqrt` `flip3-+` `flip-+`
12×	`*-un-lft-identity`
8×	`pow1` `frac-times` `add-cube-cbrt` `associate-r/` `associate-r*` `associate-/l/`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `sub-neg` `div-exp` `associate-*l/`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`associate-+r+` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-log` `flip--` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 97

Calls

4 calls:

14.0ms	(/ (* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0)))) (* (exp x) (+ (exp x) 2.0)))
8.0ms	(* (exp x) (- (exp x) 2.0))
8.0ms	(* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0))))
4.0ms	(+ 1 (* (exp x) (- (exp x) 2.0)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0)))) (* (exp x) (+ (exp x) 2.0)))
4.0ms	(* (exp x) (- (exp x) 2.0))
14.0ms	(* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0))))
7.0ms	(+ 1 (* (exp x) (- (exp x) 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5205	1616

prune147.0ms

Filtered

81 candidates to 109 candidates (-34.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0b

Counts

113 → 4

regimes34.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	15
1	38	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.9s	5677×	body	1280	valid
228.0ms	1227×	body	640	valid
74.0ms	627×	body	320	valid
24.0ms	314×	body	160	valid
6.0ms	155×	body	80	valid

Details

analyze4.0ms

sample77.0ms

simplify73.0ms

prune6.0ms

localize6.0ms

rewrite16.0ms

series9.0ms

simplify45.0ms

prune67.0ms

localize9.0ms

rewrite24.0ms

series27.0ms

simplify41.0ms

prune137.0ms

localize10.0ms

rewrite27.0ms

series18.0ms

simplify62.0ms

prune105.0ms

localize10.0ms

rewrite36.0ms

series40.0ms

simplify42.0ms

prune147.0ms

regimes34.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling