Details

sample60.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
15.0ms	55×	body	640	valid
6.0ms	126×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	3495
7	880
6	223
5	97
4	48
3	27
2	20
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
3.1b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite142.0ms

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-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

22.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
9.0ms	(+ 1.0 (exp (* -2.0 x)))
107.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series218.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms	(+ 1.0 (exp (* -2.0 x)))
136.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2207
2	722
1	261
0	116

prune347.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))) 1.0)
0.0b	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
3.1b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
64×	`times-frac`
52×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
24×	`swap-sqr`
20×	`distribute-lft-out`
18×	`associate-r` `associate-l`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`add-log-exp`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`+-commutative` `sum-log`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

5.0ms	(+ 1.0 (exp (* -2.0 x)))
59.0ms	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
77.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
29.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series327.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ 1.0 (exp (* -2.0 x)))
98.0ms	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
81.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
130.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify2.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5012
2	2364
1	646
0	200

prune727.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
3.1b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
64×	`times-frac`
52×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
24×	`swap-sqr`
20×	`distribute-lft-out`
18×	`associate-r` `associate-l`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`add-log-exp`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`+-commutative` `sum-log`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
5.0ms	(+ 1.0 (exp (* -2.0 x)))
90.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
42.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ 1.0 (exp (* -2.0 x)))
27.0ms	(+ 1.0 (exp (* -2.0 x)))
58.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
93.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify1.6s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	1929
1	580
0	178

prune748.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))
0.5b	(/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))
3.1b	(- (* (* (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))) (* (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x))))))) (* 1.0 1.0))

rewrite971.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div` `add-exp-log`
20×	`pow1`
18×	`pow-flip`
16×	`associate-/r/`
13×	`flip3-+` `pow1/3` `flip-+`
11×	`*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`frac-times` `div-exp`
6×	`times-frac` `prod-exp` `associate-/l*` `add-log-exp`
4×	`cbrt-prod` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
2×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `cbrt-unprod` `div-inv` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

4.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
34.0ms	(/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))
30.0ms	(/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))
899.0ms	(- (* (* (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))) (* (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x))))))) (* 1.0 1.0))

series735.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
238.0ms	(/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))
198.0ms	(/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))
131.0ms	(- (* (* (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x))))))) (* (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x))))))) (* 1.0 1.0))

simplify3.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5002
3	4967
2	1223
1	433
0	173

prune846.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes582.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.2b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	39
1	39
0	28

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	1731×	body	1280	valid
322.0ms	1234×	body	640	valid
270.0ms	4102×	body	80	valid
137.0ms	618×	body	320	valid
31.0ms	315×	body	160	valid