Details

sample96.0ms

Algorithm

intervals

Results

35.0ms	95×	body	1280	valid
19.0ms	82×	body	640	valid
13.0ms	390×	pre	80	true
8.0ms	50×	body	320	valid
6.0ms	141×	body	80	valid
2.0ms	22×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize12.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

16.0ms

(- (exp x) 1)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- (exp x) 1)

simplify853.0ms

Counts

20 → 20

Iterations

Iter	Nodes
5	2043
4	927
3	402
2	183
1	88
0	42

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* x (+ 1/2 (* x 1/6))) x))
0.0b	(* x (+ 1/2 (* x 1/6)))
0.0b	(* (* x (+ 1/2 (* x 1/6))) x)
0.3b	(* x 1/6)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
9×	`associate-r` `add-cube-cbrt`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*r/` `insert-posit16`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`associate-*l/` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `distribute-rgt-out` `distribute-rgt1-in`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ x (* (* x (+ 1/2 (* x 1/6))) x))
11.0ms	(* x (+ 1/2 (* x 1/6)))
31.0ms	(* (* x (+ 1/2 (* x 1/6))) x)
7.0ms	(* x 1/6)

series317.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (* (* x (+ 1/2 (* x 1/6))) x))
111.0ms	(* x (+ 1/2 (* x 1/6)))
125.0ms	(* (* x (+ 1/2 (* x 1/6))) x)
33.0ms	(* x 1/6)

simplify3.4s

Counts

89 → 89

Iterations

Iter	Nodes
3	6224
2	1117
1	315
0	117

prune739.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(+ (exp x) 1)
0.0b	(/ (+ (* (exp x) (* (exp x) (exp x))) -1) (+ (* (+ (exp x) 1) (exp x)) 1))
5.0b	(+ (* (exp x) (* (exp x) (exp x))) -1)

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`exp-prod`
11×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log`
4×	`flip3-+` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `insert-posit16`
3×	`associate-/r` `swap-sqr` `associate-r` `associate-l` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

23.0ms	(* (exp x) (exp x))
7.0ms	(+ (exp x) 1)
134.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) -1) (+ (* (+ (exp x) 1) (exp x)) 1))
42.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)

series208.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (exp x) (exp x))
14.0ms	(+ (exp x) 1)
122.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) -1) (+ (* (+ (exp x) 1) (exp x)) 1))
50.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
3	3804
2	1171
1	407
0	160

prune684.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (+ (* (exp x) (* (exp x) (exp x))) -1))
5.0b	(+ (* (exp x) (* (exp x) (exp x))) -1)
5.0b	(+ (* (exp x) (* (exp x) (exp x))) -1)
5.0b	(+ (* (exp x) (* (exp x) (exp x))) -1)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16`
3×	`cbrt-prod` `+-commutative` `sum-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 50

Calls

4 calls:

35.0ms	(cbrt (+ (* (exp x) (* (exp x) (exp x))) -1))
45.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)
34.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)
56.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)

series294.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (+ (* (exp x) (* (exp x) (exp x))) -1))
37.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)
36.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)
56.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)

simplify3.1s

Counts

62 → 62

Iterations

Iter	Nodes
4	5709
3	1500
2	479
1	179
0	69

prune680.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3376×	body	1280	valid
651.0ms	2518×	body	640	valid
372.0ms	11925×	pre	80	true
162.0ms	1317×	body	320	valid
131.0ms	4109×	body	80	valid
48.0ms	605×	body	160	valid