Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	10
1	10
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 47

Calls

2 calls:

9.0ms	(+ (exp x) (exp (- x)))
16.0ms	(/ 2 (+ (exp x) (exp (- x))))

series107.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (exp x) (exp (- x)))
64.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify1.9s

Counts

53 → 53

Iterations

Iter	Nodes
4	3084
3	1094
2	488
1	197
0	90

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ -1 (exp x)) (exp x))
0.0b	(/ -2 (- (/ -1 (exp x)) (exp x)))
0.0b	(/ -1 (exp x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
10×	`difference-of-squares`
9×	`associate-/r*`
7×	`add-cbrt-cube`
6×	`add-exp-log` `associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `associate-/r/` `div-inv` `flip--`
1×	`sub-neg` `diff-log`

Counts

3 → 86

Calls

3 calls:

28.0ms	(- (/ -1 (exp x)) (exp x))
30.0ms	(/ -2 (- (/ -1 (exp x)) (exp x)))
8.0ms	(/ -1 (exp x))

series141.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (/ -1 (exp x)) (exp x))
67.0ms	(/ -2 (- (/ -1 (exp x)) (exp x)))
17.0ms	(/ -1 (exp x))

simplify14.8s

Counts

95 → 95

Iterations

Iter	Nodes
4	4674
3	1516
2	611
1	289
0	151

prune534.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x x) 1/2)
0.1b	(* (* (* x x) (* x x)) 5/24)
0.1b	(* (* x x) (* x x))
12.4b	(- (+ (* (* (* x x) (* x x)) 5/24) 1) (* (* x x) 1/2))

rewrite961.0ms

Algorithm

rewrite-expression-head

Rules

138×	`pow1`
39×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
36×	`pow-prod-up`
24×	`prod-exp` `cbrt-unprod`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
9×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-l` `*-commutative` `unswap-sqr`
2×	`diff-log`
1×	`sum-log` `sub-neg` `flip3--` `swap-sqr` `associate--l+` `flip--`

Counts

4 → 128

Calls

4 calls:

28.0ms	(* (* x x) 1/2)
101.0ms	(* (* (* x x) (* x x)) 5/24)
23.0ms	(* (* x x) (* x x))
805.0ms	(- (+ (* (* (* x x) (* x x)) 5/24) 1) (* (* x x) 1/2))

series237.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x x) 1/2)
56.0ms	(* (* (* x x) (* x x)) 5/24)
54.0ms	(* (* x x) (* x x))
78.0ms	(- (+ (* (* (* x x) (* x x)) 5/24) 1) (* (* x x) 1/2))

simplify3.1s

Counts

140 → 140

Iterations

Iter	Nodes
3	4466
2	1069
1	381
0	132

prune483.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	7
0	7

end0.0ms

sample664.0ms

Algorithm

intervals

Results

562.0ms

8000×

body

valid