Details

sample88.0ms

Algorithm

intervals

Results

60.0ms	187×	body	1280	valid
7.0ms	262×	body	80	valid
7.0ms	39×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify216.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5

prune2.0ms

Filtered

1 candidates to 0 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: 27.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
2.7b	(+ (- (exp x) 2.0) (exp (- 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` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
53.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify97.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260

prune87.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
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-+` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

7.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series142.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
45.0ms	(* 1/360 (pow x 6))
39.0ms	(* 1/12 (pow x 4))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	281	379
1	1205	345
2	5001	330

prune132.0ms

Filtered

73 candidates to 45 candidates (61.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))) (* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))))
0.0b	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
2.9b	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`add-exp-log` `add-log-exp`
7×	`pow1`
4×	`pow-pow` `flip3-+` `associate-*r/` `flip-+`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `times-frac` `cube-prod` `associate-r` `associate-l` `sum-log` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `associate-+r+` `frac-2neg` `distribute-lft-in` `unpow3` `pow-prod-down` `pow-exp` `clear-num` `associate-/r` `-commutative` `div-inv` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 86

Calls

4 calls:

22.0ms	(/ (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))) (* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))))
13.0ms	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
4.0ms	(pow (exp x) 3)
13.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(/ (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))) (* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))))
53.0ms	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
23.0ms	(pow (exp x) 3)
89.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify111.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	522	1373
1	3142	1189
2	5002	1182

prune262.0ms

Filtered

98 candidates to 69 candidates (70.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(- (exp x) 2.0)
0.0b	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
2.2b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(* (exp x) (- (exp x) 2.0))
4.0ms	(- (exp x) 2.0)
22.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
9.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series210.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (exp x) (- (exp x) 2.0))
12.0ms	(- (exp x) 2.0)
101.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
59.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify85.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	513	953
1	3039	716
2	5001	705

prune159.0ms

Filtered

98 candidates to 66 candidates (67.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

regimes24.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.8s	5631×	body	1280	valid
229.0ms	8115×	body	80	valid
221.0ms	1221×	body	640	valid
76.0ms	661×	body	320	valid
24.0ms	327×	body	160	valid

Details

sample88.0ms

simplify216.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series65.0ms

simplify97.0ms

prune87.0ms

localize10.0ms

rewrite20.0ms

series142.0ms

simplify44.0ms

prune132.0ms

localize19.0ms

rewrite54.0ms

series412.0ms

simplify111.0ms

prune262.0ms

localize10.0ms

rewrite46.0ms

series210.0ms

simplify85.0ms

prune159.0ms

regimes24.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

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