Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	53×	body	1280	valid
5.0ms	38×	body	640	valid
5.0ms	23×	body	320	valid
3.0ms	135×	body	80	valid
0.0ms	7×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	30	5
3	52	5
4	114	5
5	322	5
6	1627	5
7	5002	5
done	5002	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
15.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
66.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series132.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
38.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
78.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify91.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	251	494
1	731	465
2	2785	460
3	5001	460
done	5001	460

prune146.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
2.6b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`times-frac`
8×	`add-log-exp`
7×	`log-pow`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube`
5×	`pow1` `log-prod` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-/l*`
2×	`sub-neg` `flip3-+` `exp-sum` `associate-/r/` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
15.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
66.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
146.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
38.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
73.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
77.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify95.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	291	672
1	851	622
2	3011	617
3	5001	617
done	5001	617

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.7b	(cbrt (+ 1.0 (exp (* -2.0 x))))
2.6b	(- (/ (/ 2.0 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (cbrt (+ 1.0 (exp (* -2.0 x))))) 1.0)
2.6b	(log (exp (- (/ (/ 2.0 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (cbrt (+ 1.0 (exp (* -2.0 x))))) 1.0)))

rewrite615.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`cbrt-prod` `times-frac`
10×	`log-pow` `difference-of-squares`
9×	`exp-prod`
8×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `log-prod`
4×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
2×	`sub-neg` `flip3-+` `pow1/3` `exp-sum` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 70

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
5.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
178.0ms	(- (/ (/ 2.0 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (cbrt (+ 1.0 (exp (* -2.0 x))))) 1.0)
423.0ms	(log (exp (- (/ (/ 2.0 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (cbrt (+ 1.0 (exp (* -2.0 x))))) 1.0)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
128.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
80.0ms	(- (/ (/ 2.0 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (cbrt (+ 1.0 (exp (* -2.0 x))))) 1.0)
82.0ms	(log (exp (- (/ (/ 2.0 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (cbrt (+ 1.0 (exp (* -2.0 x))))) 1.0)))

simplify95.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	295	1288
1	826	1086
2	3359	1034
3	5001	1010
done	5001	1010

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
0.4b	(* 5.551115123125783e-17 (pow x 4))
8.6b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 81

Calls

4 calls:

16.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
12.0ms	(* 0.33333333333333337 (pow x 3))
14.0ms	(* 5.551115123125783e-17 (pow x 4))
10.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
35.0ms	(* 0.33333333333333337 (pow x 3))
41.0ms	(* 5.551115123125783e-17 (pow x 4))
104.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify49.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	344	493
1	1475	459
2	5001	459
done	5001	459

prune181.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes251.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.4b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16
done	37	16

end0.0ms

sample888.0ms

Algorithm

intervals

Results

345.0ms	1694×	body	1280	valid
172.0ms	1296×	body	640	valid
105.0ms	4086×	body	80	valid
52.0ms	606×	body	320	valid
18.0ms	318×	body	160	valid