Details

sample59.0ms

Algorithm

intervals

Results

19.0ms	32×	body	640	valid
17.0ms	45×	body	1280	valid
8.0ms	145×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	13×	body	160	valid

simplify14.6s

Counts

1 → 1

Iterations

Iter	Nodes
9	10145
8	1977
7	586
6	228
5	100
4	48
3	27
2	20
1	16
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.3b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
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 → 67

Calls

3 calls:

5.0ms	(+ 1 (exp (* -2 x)))
12.0ms	(/ 2 (+ 1 (exp (* -2 x))))
53.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series134.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ 1 (exp (* -2 x)))
30.0ms	(/ 2 (+ 1 (exp (* -2 x))))
92.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify13.5s

Counts

76 → 76

Iterations

Iter	Nodes
4	4219
3	1538
2	617
1	264
0	120

prune672.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)
2.3b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
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 → 67

Calls

3 calls:

25.0ms	(/ 2 (+ (exp (* -2 x)) 1))
17.0ms	(+ (exp (* -2 x)) 1)
100.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series133.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 2 (+ (exp (* -2 x)) 1))
11.0ms	(+ (exp (* -2 x)) 1)
94.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify9.9s

Counts

76 → 76

Iterations

Iter	Nodes
4	3973
3	1295
2	546
1	255
0	117

prune570.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x 1/3) (* x x))
0.3b	(* x 1/3)
0.5b	(* (pow x 5) 2/15)
22.3b	(- (* (pow x 5) 2/15) (* (* x 1/3) (* x x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-r`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--`

Counts

4 → 81

Calls

4 calls:

28.0ms	(* (* x 1/3) (* x x))
8.0ms	(* x 1/3)
8.0ms	(* (pow x 5) 2/15)
11.0ms	(- (* (pow x 5) 2/15) (* (* x 1/3) (* x x)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* x 1/3) (* x x))
20.0ms	(* x 1/3)
61.0ms	(* (pow x 5) 2/15)
157.0ms	(- (* (pow x 5) 2/15) (* (* x 1/3) (* x x)))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
3	3230
2	896
1	292
0	123

prune905.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes218.0ms

Accuracy

99.4% (0.2b remaining)

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

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	34
1	34
0	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	1697×	body	1280	valid
649.0ms	1306×	body	640	valid
372.0ms	4045×	body	80	valid
205.0ms	636×	body	320	valid
57.0ms	316×	body	160	valid