Details

sample70.0ms

Algorithm

intervals

Results

27.0ms	101×	body	1280	valid
15.0ms	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	31	8
4	35	8
done	35	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)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify640.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	241	158
3	583	157
4	1805	157
done	5000	157

prune41.0ms

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

localize12.0ms

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))

series25.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: 3 (318.0ms)

Iter	Nodes	Cost
0	113	734
1	284	637
2	898	597
3	3957	596
done	5001	596

prune122.0ms

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

localize17.0ms

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)))

rewrite45.0ms

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:

20.0ms	(/ (- (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)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (- (pow (exp x) 3) (exp (* x -3))) (+ (+ (exp (+ x x)) 1) (exp (* x -2))))
2.0ms	(+ (exp (+ x x)) 1)
5.0ms	(pow (exp x) 3)
10.0ms	(- (pow (exp x) 3) (exp (* x -3)))

simplify538.0ms

Counts

137 → 137

Iterations

Useful iterations: done (533.0ms)

Iter	Nodes	Cost
0	204	3174
1	505	2990
2	1727	2868
done	5000	2867

prune262.0ms

Filtered

84 candidates to 137 candidates (-63.1%)

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

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(cbrt (pow (+ (exp (+ x x)) 1) 3))
5.0ms	(pow (exp x) 3)
7.0ms	(pow (+ (exp (+ x x)) 1) 3)
9.0ms	(- (pow (exp x) 3) (exp (* x -3)))

simplify474.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	157	1374
1	375	1111
2	1303	1005
done	5000	1005

prune194.0ms

Filtered

65 candidates to 107 candidates (-64.6%)

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

regimes72.0ms

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

sample2.1s

Algorithm

intervals

Results

918.0ms	3391×	body	1280	valid
416.0ms	2422×	body	640	valid
237.0ms	8174×	body	80	valid
139.0ms	1241×	body	320	valid
49.0ms	666×	body	160	valid

Details

sample70.0ms

simplify11.0ms

prune3.0ms

localize6.0ms

rewrite6.0ms

series6.0ms

simplify640.0ms

prune41.0ms

localize12.0ms

rewrite20.0ms

series25.0ms

simplify1.4s

prune122.0ms

localize17.0ms

rewrite45.0ms

series44.0ms

simplify538.0ms

prune262.0ms

localize19.0ms

rewrite37.0ms

series24.0ms

simplify474.0ms

prune194.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

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