Details

sample93.0ms

Algorithm

intervals

Results

38.0ms	108×	body	1280	valid
17.0ms	77×	body	640	valid
12.0ms	378×	pre	80	true
6.0ms	42×	body	320	valid
5.0ms	130×	body	80	valid
2.0ms	21×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize10.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1)

rewrite15.0ms

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:

14.0ms

(- (exp x) 1)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(- (exp x) 1)

simplify910.0ms

Counts

20 → 20

Iterations

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

prune107.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1/2 (* x 1/6))
0.0b	(* x (+ 1/2 (* x 1/6)))
0.0b	(* (* x (+ 1/2 (* x 1/6))) x)
0.4b	(* x 1/6)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `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`

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ 1/2 (* x 1/6))
11.0ms	(* x (+ 1/2 (* x 1/6)))
21.0ms	(* (* x (+ 1/2 (* x 1/6))) x)
5.0ms	(* x 1/6)

series205.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 1/2 (* x 1/6))
69.0ms	(* x (+ 1/2 (* x 1/6)))
75.0ms	(* (* x (+ 1/2 (* x 1/6))) x)
21.0ms	(* x 1/6)

simplify3.0s

Counts

87 → 87

Iterations

Iter	Nodes
3	4648
2	987
1	279
0	105

prune617.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1)

rewrite13.0ms

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:

13.0ms

(- (exp x) 1)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- (exp x) 1)

simplify955.0ms

Counts

20 → 20

Iterations

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

prune118.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(+ (sqrt (exp x)) 1)
0.0b	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
6.1b	(- (sqrt (exp x)) 1)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
13×	`sqrt-prod`
11×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`frac-times` `sqrt-pow1` `flip3-+` `flip3--` `difference-of-sqr-1` `flip-+` `insert-posit16` `flip--` `distribute-lft-out` `distribute-lft-out--`
3×	`exp-prod` `sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

4.0ms	(sqrt (exp x))
15.0ms	(+ (sqrt (exp x)) 1)
55.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
20.0ms	(- (sqrt (exp x)) 1)

series140.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (exp x))
18.0ms	(+ (sqrt (exp x)) 1)
79.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
25.0ms	(- (sqrt (exp x)) 1)

simplify889.0ms

Counts

105 → 105

Iterations

Iter	Nodes
3	2326
2	806
1	302
0	120

prune650.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes167.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	24
1	24
0	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	3458×	body	1280	valid
485.0ms	2460×	body	640	valid
400.0ms	12016×	pre	80	true
186.0ms	4214×	body	80	valid
155.0ms	1200×	body	320	valid
56.0ms	684×	body	160	valid