Details

sample85.0ms

Algorithm

intervals

Results

37.0ms	111×	body	1280	valid
15.0ms	75×	body	640	valid
11.0ms	357×	pre	80	true
5.0ms	37×	body	320	valid
3.0ms	105×	body	80	valid
3.0ms	29×	body	160	valid

simplify8.0ms

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: 58.8b

localize10.0ms

Local error

Found 1 expressions with local error:

7.0b	(- (exp x) 1)

rewrite16.0ms

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)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- (exp x) 1)

simplify1.1s

Counts

20 → 20

Iterations

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

prune161.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)
0.4b	(* x 1/6)

rewrite91.0ms

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:

12.0ms	(+ x (* (* x (+ 1/2 (* x 1/6))) x))
22.0ms	(* x (+ 1/2 (* x 1/6)))
41.0ms	(* (* x (+ 1/2 (* x 1/6))) x)
16.0ms	(* x 1/6)

series258.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (* (* x (+ 1/2 (* x 1/6))) x))
77.0ms	(* x (+ 1/2 (* x 1/6)))
120.0ms	(* (* x (+ 1/2 (* x 1/6))) x)
28.0ms	(* x 1/6)

simplify3.2s

Counts

89 → 89

Iterations

Iter	Nodes
3	6224
2	1117
1	315
0	117

prune587.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1/2 (* x 1/6)))
0.0b	(* (log (exp (* x (+ 1/2 (* x 1/6))))) x)
0.4b	(* x 1/6)
6.8b	(log (exp (* x (+ 1/2 (* x 1/6)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

19.0ms	(* x (+ 1/2 (* x 1/6)))
9.0ms	(* (log (exp (* x (+ 1/2 (* x 1/6))))) x)
5.0ms	(* x 1/6)
4.0ms	(log (exp (* x (+ 1/2 (* x 1/6)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* x (+ 1/2 (* x 1/6)))
135.0ms	(* (log (exp (* x (+ 1/2 (* x 1/6))))) x)
26.0ms	(* x 1/6)
82.0ms	(log (exp (* x (+ 1/2 (* x 1/6)))))

simplify2.7s

Counts

93 → 93

Iterations

Iter	Nodes
3	5179
2	895
1	271
0	121

prune867.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x 1/6)
0.4b	(* x 1/6)
6.9b	(log (sqrt (exp (* x (+ 1/2 (* x 1/6))))))
6.9b	(log (sqrt (exp (* x (+ 1/2 (* x 1/6))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `log-prod`
12×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log` `log-pow` `sqrt-prod`
8×	`add-cbrt-cube`
6×	`sqrt-pow1` `associate-r` `associate-l` `add-log-exp`
4×	`exp-sum` `insert-posit16`
2×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `exp-to-pow` `pow1/2` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

10.0ms	(* x 1/6)
10.0ms	(* x 1/6)
8.0ms	(log (sqrt (exp (* x (+ 1/2 (* x 1/6))))))
5.0ms	(log (sqrt (exp (* x (+ 1/2 (* x 1/6))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x 1/6)
23.0ms	(* x 1/6)
342.0ms	(log (sqrt (exp (* x (+ 1/2 (* x 1/6))))))
787.0ms	(log (sqrt (exp (* x (+ 1/2 (* x 1/6))))))

simplify925.0ms

Counts

94 → 94

Iterations

Iter	Nodes
5	2409
4	884
3	456
2	223
1	145
0	92

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes96.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	3420×	body	1280	valid
479.0ms	2517×	body	640	valid
364.0ms	11876×	pre	80	true
168.0ms	4041×	body	80	valid
150.0ms	1272×	body	320	valid
46.0ms	626×	body	160	valid