Details

sample43.0ms

Algorithm

intervals

Results

11.0ms	41×	body	1280	valid
9.0ms	40×	body	640	valid
6.0ms	144×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5012
8	2654
7	760
6	224
5	98
4	49
3	28
2	20
1	15
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize24.0ms

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))))
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
17×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

3 → 141

Calls

3 calls:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
11.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
98.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series224.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ 1.0 (exp (* -2.0 x)))
58.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
136.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
3	3749
2	1082
1	419
0	180

prune594.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.4b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.8b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite617.0ms

Algorithm

rewrite-expression-head

Rules

1375×	`times-frac`
1227×	`*-un-lft-identity`
853×	`add-sqr-sqrt`
829×	`add-cube-cbrt`
789×	`sqrt-prod`
585×	`prod-diff`
198×	`distribute-lft-out`
195×	`fma-neg`
66×	`sqrt-div` `associate-/r/`
35×	`flip3-+` `flip-+`
33×	`div-inv`
10×	`add-log-exp`
7×	`associate-/r*` `difference-of-squares`
6×	`fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`associate-/l*`
2×	`+-commutative` `sum-log`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

4 → 883

Calls

4 calls:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(+ 1.0 (exp (* -2.0 x)))
15.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
438.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series298.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ 1.0 (exp (* -2.0 x)))
18.0ms	(+ 1.0 (exp (* -2.0 x)))
103.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
147.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify2.7s

Counts

895 → 895

Iterations

Iter	Nodes
done	5008
2	3517
1	1542
0	672

prune2.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* (* x (* x x)) 0.33333333333333337)
0.1b	(* (* x x) (* x x))
9.3b	(fma 5.551115123125783e-17 (* (* x x) (* x x)) (* (* x (* x x)) 0.33333333333333337))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

138×	`pow1`
41×	`pow-prod-up`
32×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
23×	`pow-sqr`
19×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
14×	`pow2`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`cube-unmult` `swap-sqr` `fma-udef`

Counts

4 → 124

Calls

4 calls:

13.0ms	(* x (* x x))
62.0ms	(* (* x (* x x)) 0.33333333333333337)
29.0ms	(* (* x x) (* x x))
1.0ms	(fma 5.551115123125783e-17 (* (* x x) (* x x)) (* (* x (* x x)) 0.33333333333333337))

series356.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (* x x))
49.0ms	(* (* x (* x x)) 0.33333333333333337)
57.0ms	(* (* x x) (* x x))
195.0ms	(fma 5.551115123125783e-17 (* (* x x) (* x x)) (* (* x (* x x)) 0.33333333333333337))

simplify2.2s

Counts

136 → 136

Iterations

Iter	Nodes
done	5006
3	2318
2	599
1	246
0	110

prune353.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes326.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.8b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	1716×	body	1280	valid
453.0ms	1245×	body	640	valid
300.0ms	4091×	body	80	valid
166.0ms	640×	body	320	valid
33.0ms	308×	body	160	valid