Details

sample70.0ms

Algorithm

intervals

Results

24.0ms	117×	body	1280	valid
11.0ms	75×	body	640	valid
10.0ms	34×	body	320	valid
9.0ms	407×	pre	80	true
4.0ms	156×	body	80	valid
2.0ms	25×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize11.0ms

Local error

Found 1 expressions with local error:

6.8b	(- (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)

simplify2.5s

Counts

20 → 20

Iterations

Iter	Nodes
done	5007
5	2653
4	1333
3	609
2	233
1	92
0	42

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

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

series210.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (* x 1/6) 1/2)
36.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
88.0ms	(* (* x x) (+ (* x 1/6) 1/2))
18.0ms	(* x 1/6)

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5004
2	1476
1	356
0	111

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
6.8b	(- (sqrt (exp x)) 1)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(sqrt (exp x))
4.0ms	(sqrt (exp x))
78.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
20.0ms	(- (sqrt (exp x)) 1)

series132.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp x))
20.0ms	(sqrt (exp x))
70.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
28.0ms	(- (sqrt (exp x)) 1)

simplify3.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
3	3911
2	1130
1	296
0	114

prune389.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (sqrt (exp x)) 1))
6.8b	(- (sqrt (exp x)) 1)
6.8b	(- (sqrt (exp x)) 1)
6.8b	(- (sqrt (exp x)) 1)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
16×	`sqrt-prod` `difference-of-squares`
11×	`cbrt-prod`
10×	`add-log-exp`
8×	`difference-of-sqr-1` `distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 85

Calls

4 calls:

12.0ms	(cbrt (- (sqrt (exp x)) 1))
21.0ms	(- (sqrt (exp x)) 1)
21.0ms	(- (sqrt (exp x)) 1)
16.0ms	(- (sqrt (exp x)) 1)

series245.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (- (sqrt (exp x)) 1))
26.0ms	(- (sqrt (exp x)) 1)
43.0ms	(- (sqrt (exp x)) 1)
41.0ms	(- (sqrt (exp x)) 1)

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	2249
3	820
2	366
1	161
0	81

prune301.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	3463×	body	1280	valid
514.0ms	2448×	body	640	valid
368.0ms	12066×	pre	80	true
152.0ms	1250×	body	320	valid
128.0ms	4243×	body	80	valid
53.0ms	662×	body	160	valid