Details

sample81.0ms

Algorithm

intervals

Results

52.0ms	179×	body	1280	valid
7.0ms	276×	body	80	valid
5.0ms	34×	body	640	valid
3.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify89.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	38	8
4	49	8
5	54	8
6	63	8
7	80	8
8	99	8
9	106	8
10	110	8
11	114	8
done	114	8

prune3.0ms

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: 29.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.9b	(+ (- (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` `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 (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)))

simplify1.2s

Counts

41 → 41

Iterations

Useful iterations: 3 (523.0ms)

Iter	Nodes	Cost
0	93	511
1	213	465
2	539	445
3	1766	432
done	5000	432

prune68.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow x 4)
0.0b	(+ (* 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

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

Counts

4 → 78

Calls

4 calls:

2.0ms	(pow x 4)
5.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms	(* 1/360 (pow x 6))
6.0ms	(* 1/12 (pow x 4))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow x 4)
12.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
8.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: 3 (711.0ms)

Iter	Nodes	Cost
0	120	801
1	280	697
2	678	657
3	2547	639
done	5000	639

prune151.0ms

Filtered

55 candidates to 90 candidates (-63.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Merged error: 0.0b

Counts

92 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))
0.0b	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
0.0b	(pow (exp x) 3)
5.2b	(+ (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))) (* (+ 2.0 (exp x)) 2.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`pow1` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-*r/`
5×	`add-exp-log` `associate-r`
4×	`associate-+l+` `pow-pow` `associate-*l/` `frac-add`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `exp-prod` `distribute-lft-in` `cube-prod` `associate-l`
2×	`+-commutative` `sum-log` `distribute-lft-out`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

25.0ms	(* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))
11.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
4.0ms	(pow (exp x) 3)
26.0ms	(+ (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))) (* (+ 2.0 (exp x)) 2.0))

series37.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))
5.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
5.0ms	(pow (exp x) 3)
17.0ms	(+ (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))) (* (+ 2.0 (exp x)) 2.0))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: 2 (247.0ms)

Iter	Nodes	Cost
0	190	1794
1	554	1652
2	2481	1559
done	5001	1559

prune222.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
0.0b	(cbrt (pow (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x))) 3))
0.0b	(pow (exp x) 3)
5.2b	(+ (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))) (* (+ 2.0 (exp x)) 2.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
7×	`flip3-+` `flip-+`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `associate-+l+` `pow-pow` `associate-r/` `associate-l/` `frac-add`
3×	`pow-unpow` `exp-prod`
2×	`+-commutative` `cube-div` `distribute-rgt-in` `cube-mult` `cbrt-div` `distribute-lft-in` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 79

Calls

4 calls:

11.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
12.0ms	(cbrt (pow (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x))) 3))
4.0ms	(pow (exp x) 3)
26.0ms	(+ (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))) (* (+ 2.0 (exp x)) 2.0))

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
5.0ms	(cbrt (pow (+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x))) 3))
4.0ms	(pow (exp x) 3)
14.0ms	(+ (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))) (* (+ 2.0 (exp x)) 2.0))

simplify871.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (223.0ms)

Iter	Nodes	Cost
0	192	1986
1	546	1733
2	2318	1621
done	5001	1621

prune238.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

regimes34.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.5s	5618×	body	1280	valid
222.0ms	8066×	body	80	valid
196.0ms	1260×	body	640	valid
61.0ms	622×	body	320	valid
21.0ms	328×	body	160	valid

Details

sample81.0ms

simplify89.0ms

prune3.0ms

localize6.0ms

rewrite16.0ms

series9.0ms

simplify1.2s

prune68.0ms

localize10.0ms

rewrite20.0ms

series27.0ms

simplify1.8s

prune151.0ms

localize22.0ms

rewrite68.0ms

series37.0ms

simplify1.1s

prune222.0ms

localize22.0ms

rewrite58.0ms

series28.0ms

simplify871.0ms

prune238.0ms

regimes34.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling