Details

sample58.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
20.0ms	256×	pre	80	true

simplify246.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

246.0ms

(+ (+ (+ (+ e d) c) b) a)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b	(+ (+ (+ e d) c) b)
0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ (+ e d) c) b) a)

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

3 → 54

Calls

3 calls:

Slowest

403.0ms	(+ (+ (+ (+ e d) c) b) a)
104.0ms	(+ (+ (+ e d) c) b)
17.0ms	(+ (+ e d) c)

series143.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(+ (+ (+ (+ e d) c) b) a)
57.0ms	(+ (+ (+ e d) c) b)
25.0ms	(+ (+ e d) c)

simplify2.8s

Counts

29 → 63

Calls

29 calls:

Slowest

300.0ms	(+ (+ (+ (+ e d) c) b) a)
279.0ms	(+ (+ (+ (+ e d) c) b) a)
268.0ms	(+ (+ (+ (+ e d) c) b) a)
231.0ms	(+ (+ (+ (+ e d) c) b) a)
205.0ms	(* (* (* (* (exp e) (exp d)) (exp c)) (exp b)) (exp a))

prune651.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.3b	(exp (+ (+ b d) (+ e c)))
0.2b	(+ (log (exp (+ (+ b d) (+ e c)))) a)
0.2b	(+ (+ b d) (+ e c))
0.0b	(log (exp (+ (+ b d) (+ e c))))

rewrite785.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
30×	`add-log-exp`
26×	`distribute-lft-out`
17×	`sum-log`
14×	`exp-prod`
9×	`log-pow`
8×	`add-sqr-sqrt` `log-prod` `add-cube-cbrt`
6×	`pow1` `flip3-+` `flip-+`
5×	`associate-+l+` `rem-exp-log`
4×	`add-cbrt-cube` `frac-add` `add-exp-log` `insert-posit16`
3×	`exp-sum`
2×	`+-commutative`
1×	`associate-+r+` `rem-log-exp`

Counts

4 → 85

Calls

4 calls:

Slowest

486.0ms	(+ (log (exp (+ (+ b d) (+ e c)))) a)
134.0ms	(exp (+ (+ b d) (+ e c)))
115.0ms	(log (exp (+ (+ b d) (+ e c))))
49.0ms	(+ (+ b d) (+ e c))

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(+ (log (exp (+ (+ b d) (+ e c)))) a)
56.0ms	(log (exp (+ (+ b d) (+ e c))))
51.0ms	(+ (+ b d) (+ e c))
46.0ms	(exp (+ (+ b d) (+ e c)))

simplify4.8s

Counts

60 → 97

Calls

60 calls:

Slowest

327.0ms	(+ (* (+ (pow b 3) (pow d 3)) (+ (* e e) (- (* c c) (* e c)))) (* (+ (* b b) (- (* d d) (* b d))) (+ (pow e 3) (pow c 3))))
298.0ms	(+ (* (- (* b b) (* d d)) (+ (* e e) (- (* c c) (* e c)))) (* (- b d) (+ (pow e 3) (pow c 3))))
258.0ms	(+ (log (exp (+ (+ b d) (+ e c)))) a)
245.0ms	(+ (log (exp (+ (+ b d) (+ e c)))) a)
244.0ms	(* (- b d) (+ (* e e) (- (* c c) (* e c))))

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.3b	(+ e (+ c (+ d (+ b a))))
0.2b	(+ c (+ d (+ b a)))
0.1b	(+ d (+ b a))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

3 → 54

Calls

3 calls:

Slowest

105.0ms	(+ e (+ c (+ d (+ b a))))
57.0ms	(+ c (+ d (+ b a)))
20.0ms	(+ d (+ b a))

series140.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

72.0ms	(+ e (+ c (+ d (+ b a))))
52.0ms	(+ c (+ d (+ b a)))
17.0ms	(+ d (+ b a))

simplify2.7s

Counts

29 → 63

Calls

29 calls:

Slowest

295.0ms	(+ e (+ c (+ d (+ b a))))
269.0ms	(+ e (+ c (+ d (+ b a))))
236.0ms	(+ e (+ c (+ d (+ b a))))
212.0ms	(+ e (+ c (+ d (+ b a))))
205.0ms	(* (exp c) (exp (+ d (+ b a))))

prune620.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

2.5b	(exp (+ (+ c b) (+ d a)))
0.3b	(+ (+ c b) (+ d a))
0.3b	(+ e (log (exp (+ (+ c b) (+ d a)))))
0.0b	(log (exp (+ (+ c b) (+ d a))))

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
30×	`add-log-exp`
26×	`distribute-lft-out`
17×	`sum-log`
14×	`exp-prod`
9×	`log-pow`
8×	`add-sqr-sqrt` `log-prod` `add-cube-cbrt`
6×	`pow1` `flip3-+` `flip-+`
5×	`associate-+r+` `rem-exp-log`
4×	`add-cbrt-cube` `frac-add` `add-exp-log` `insert-posit16`
3×	`exp-sum`
2×	`+-commutative`
1×	`associate-+l+` `rem-log-exp`

Counts

4 → 85

Calls

4 calls:

Slowest

299.0ms	(+ e (log (exp (+ (+ c b) (+ d a)))))
140.0ms	(log (exp (+ (+ c b) (+ d a))))
105.0ms	(exp (+ (+ c b) (+ d a)))
30.0ms	(+ (+ c b) (+ d a))

series227.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(+ e (log (exp (+ (+ c b) (+ d a)))))
53.0ms	(log (exp (+ (+ c b) (+ d a))))
49.0ms	(exp (+ (+ c b) (+ d a)))
42.0ms	(+ (+ c b) (+ d a))

simplify5.0s

Counts

60 → 97

Calls

60 calls:

Slowest

608.0ms	(* (- c b) (+ (* d d) (- (* a a) (* d a))))
339.0ms	(+ (* (+ (pow c 3) (pow b 3)) (+ (* d d) (- (* a a) (* d a)))) (* (+ (* c c) (- (* b b) (* c b))) (+ (pow d 3) (pow a 3))))
291.0ms	(+ (* (- (* c c) (* b b)) (+ (* d d) (- (* a a) (* d a)))) (* (- c b) (+ (pow d 3) (pow a 3))))
230.0ms	(+ e (log (exp (+ (+ c b) (+ d a)))))
212.0ms	(+ e (log (exp (+ (+ c b) (+ d a)))))

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes301.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

563.0ms	8000×	pre	80	true
562.0ms	8000×	body	80	valid