Details

sample71.0ms

Algorithm

intervals

Results

28.0ms	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

prune7.0ms

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

localize7.0ms

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)))

simplify1.2s

Counts

17 → 17

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	245	158
3	603	157
4	2102	157
done	5000	157

prune40.0ms

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

localize14.0ms

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))

rewrite21.0ms

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))

series22.0ms

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))
4.0ms	(* 1/3 (pow x 3))

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	113	734
1	284	643
2	839	601
3	3914	600
done	5000	596

prune125.0ms

Filtered

49 candidates to 76 candidates (-55.1%)

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)))

rewrite50.0ms

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:

21.0ms	(/ (- (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:

24.0ms	(/ (- (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)))

simplify518.0ms

Counts

137 → 137

Iterations

Useful iterations: done (514.0ms)

Iter	Nodes	Cost
0	204	3174
1	505	3003
2	1564	2870
done	5001	2867

prune263.0ms

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

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))
4.0ms	(pow (exp x) 3)
9.0ms	(pow (+ (exp (+ x x)) 1) 3)
11.0ms	(- (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)
10.0ms	(- (pow (exp x) 3) (exp (* x -3)))

simplify422.0ms

Counts

107 → 107

Iterations

Useful iterations: done (419.0ms)

Iter	Nodes	Cost
0	157	1374
1	375	1147
2	1192	1011
done	5001	1005

prune415.0ms

Filtered

66 candidates to 107 candidates (-62.1%)

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

regimes70.0ms

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

930.0ms	3391×	body	1280	valid
427.0ms	2422×	body	640	valid
243.0ms	8174×	body	80	valid
142.0ms	1241×	body	320	valid
47.0ms	666×	body	160	valid

Details

sample71.0ms

simplify11.0ms

prune7.0ms

localize7.0ms

rewrite6.0ms

series6.0ms

simplify1.2s

prune40.0ms

localize14.0ms

rewrite21.0ms

series22.0ms

simplify1.5s

prune125.0ms

localize17.0ms

rewrite50.0ms

series41.0ms

simplify518.0ms

prune263.0ms

localize19.0ms

rewrite37.0ms

series24.0ms

simplify422.0ms

prune415.0ms

regimes70.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling