Details

sample67.0ms

Algorithm

intervals

Results

26.0ms	101×	body	1280	valid
14.0ms	83×	body	640	valid
8.0ms	280×	body	80	valid
4.0ms	40×	body	320	valid
2.0ms	22×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	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: 57.7b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b	(- (exp x) (exp (neg x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

simplify1.4s

Counts

17 → 17

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	231	158
3	504	157
4	1592	157
done	5000	157

prune42.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

5.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
6.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series21.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify1.9s

Counts

76 → 76

Iterations

Useful iterations: 3 (478.0ms)

Iter	Nodes	Cost
0	113	734
1	278	633
2	763	597
3	3472	596
done	5001	596

prune121.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Merged error: 0.0b

Counts

79 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 3) (exp (* x -3))) (+ (+ (exp (+ x x)) 1) (exp (* x -2))))
0.0b	(+ (exp (+ x x)) 1)
0.0b	(pow (exp x) 3)
7.5b	(- (pow (exp x) 3) (exp (* x -3)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
40×	`times-frac`
28×	`distribute-lft-out` `difference-of-squares`
23×	`add-cube-cbrt`
10×	`unpow-prod-down` `cube-prod`
8×	`associate-/l*` `add-log-exp` `sqr-pow`
7×	`add-cbrt-cube` `distribute-lft-out--`
6×	`add-exp-log`
5×	`pow1` `associate-/r*`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 125

Calls

4 calls:

19.0ms	(/ (- (pow (exp x) 3) (exp (* x -3))) (+ (+ (exp (+ x x)) 1) (exp (* x -2))))
8.0ms	(+ (exp (+ x x)) 1)
4.0ms	(pow (exp x) 3)
8.0ms	(- (pow (exp x) 3) (exp (* x -3)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (- (pow (exp x) 3) (exp (* x -3))) (+ (+ (exp (+ x x)) 1) (exp (* x -2))))
2.0ms	(+ (exp (+ x x)) 1)
4.0ms	(pow (exp x) 3)
12.0ms	(- (pow (exp x) 3) (exp (* x -3)))

simplify727.0ms

Counts

137 → 137

Iterations

Useful iterations: done (722.0ms)

Iter	Nodes	Cost
0	204	3174
1	481	2990
2	1520	2868
done	5000	2867

prune266.0ms

Filtered

86 candidates to 137 candidates (-59.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Merged error: 0b

Counts

140 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp (* 2 x)) 1) 3))
0.0b	(pow (exp x) 3)
0.1b	(pow (+ (exp (* 2 x)) 1) 3)
7.5b	(- (pow (exp x) 3) (exp (* x -3)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
14×	`cbrt-prod` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1` `pow-unpow` `add-cbrt-cube` `add-log-exp`
5×	`add-exp-log` `pow-pow`
4×	`cube-div` `distribute-lft-out` `difference-of-squares` `sqr-pow`
3×	`cube-mult` `exp-prod` `unpow3`
2×	`pow-to-exp` `cbrt-div` `flip3-+` `pow-exp` `flip-+` `rem-cube-cbrt`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

6.0ms	(cbrt (pow (+ (exp (* 2 x)) 1) 3))
4.0ms	(pow (exp x) 3)
6.0ms	(pow (+ (exp (* 2 x)) 1) 3)
8.0ms	(- (pow (exp x) 3) (exp (* x -3)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(cbrt (pow (+ (exp (* 2 x)) 1) 3))
7.0ms	(pow (exp x) 3)
6.0ms	(pow (+ (exp (* 2 x)) 1) 3)
9.0ms	(- (pow (exp x) 3) (exp (* x -3)))

simplify600.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	153	1374
1	343	1111
2	1002	1005
done	5000	1005

prune223.0ms

Filtered

68 candidates to 107 candidates (-57.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

regimes71.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample2.2s

Algorithm

intervals

Results

907.0ms	3391×	body	1280	valid
581.0ms	2422×	body	640	valid
235.0ms	8174×	body	80	valid
135.0ms	1241×	body	320	valid
47.0ms	666×	body	160	valid

Details

sample67.0ms

simplify11.0ms

prune3.0ms

localize6.0ms

rewrite6.0ms

series5.0ms

simplify1.4s

prune42.0ms

localize11.0ms

rewrite20.0ms

series21.0ms

simplify1.9s

prune121.0ms

localize16.0ms

rewrite43.0ms

series41.0ms

simplify727.0ms

prune266.0ms

localize20.0ms

rewrite26.0ms

series24.0ms

simplify600.0ms

prune223.0ms

regimes71.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling