Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify322.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

322.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite596.0ms

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

455.0ms	(+ (+ (+ (+ e d) c) b) a)
101.0ms	(+ (+ (+ e d) c) b)
39.0ms	(+ (+ e d) c)

series138.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

76.0ms	(+ (+ (+ (+ e d) c) b) a)
42.0ms	(+ (+ (+ e d) c) b)
20.0ms	(+ (+ e d) c)

simplify2.4s

Counts

29 → 63

Calls

29 calls:

Slowest

280.0ms	(+ (+ (+ (+ e d) c) b) a)
277.0ms	(+ (+ (+ (+ e d) c) b) a)
230.0ms	(+ (+ (+ (+ e d) c) b) a)
203.0ms	(+ (+ (+ (+ e d) c) b) a)
183.0ms	(* (* (* (* (exp e) (exp d)) (exp c)) (exp b)) (exp a))

prune665.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.2b	(exp (+ (+ d e) (+ (+ c a) b)))
0.2b	(+ (+ d e) (+ (+ c a) b))
0.2b	(+ (+ c a) b)
0.0b	(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite641.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
52×	`add-log-exp`
48×	`distribute-lft-out`
33×	`sum-log`
18×	`exp-prod`
10×	`log-pow`
7×	`add-sqr-sqrt` `add-cube-cbrt` `rem-exp-log`
6×	`flip3-+` `flip-+`
5×	`pow1`
4×	`log-prod` `add-cbrt-cube` `frac-add` `add-exp-log` `insert-posit16`
2×	`+-commutative` `associate-+l+` `exp-sum`
1×	`associate-+r+` `rem-log-exp`

Counts

4 → 93

Calls

4 calls:

Slowest

275.0ms	(log (exp (+ (+ d e) (+ (+ c a) b))))
240.0ms	(exp (+ (+ d e) (+ (+ c a) b)))
104.0ms	(+ (+ d e) (+ (+ c a) b))
18.0ms	(+ (+ c a) b)

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(log (exp (+ (+ d e) (+ (+ c a) b))))
70.0ms	(+ (+ d e) (+ (+ c a) b))
70.0ms	(exp (+ (+ d e) (+ (+ c a) b)))
17.0ms	(+ (+ c a) b)

simplify8.5s

Counts

67 → 105

Calls

67 calls:

Slowest

493.0ms	(+ (* (+ (pow d 3) (pow e 3)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (+ (* d d) (- (* e e) (* d e))) (+ (pow (+ c a) 3) (pow b 3))))
414.0ms	(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
411.0ms	(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
300.0ms	(exp (sqrt (+ (+ d e) (+ (+ c a) b))))
297.0ms	(+ (+ d e) (+ (+ c a) b))

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`associate-+r+`

Counts

2 → 45

Calls

2 calls:

Slowest

87.0ms	(+ (+ d e) (+ (+ c a) b))
18.0ms	(+ (+ c a) b)

series101.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

73.0ms	(+ (+ d e) (+ (+ c a) b))
28.0ms	(+ (+ c a) b)

simplify5.2s

Counts

30 → 51

Calls

30 calls:

Slowest

480.0ms	(+ (* (+ (pow d 3) (pow e 3)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (+ (* d d) (- (* e e) (* d e))) (+ (pow (+ c a) 3) (pow b 3))))
460.0ms	(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
333.0ms	(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
318.0ms	(+ (+ d e) (+ (+ c a) b))
305.0ms	(+ (+ d e) (+ (+ c a) b))

prune637.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.2b	(exp (+ e (+ d (+ b (+ a c)))))
0.2b	(+ d (+ b (+ a c)))
0.2b	(+ e (+ d (+ b (+ a c))))
0.2b	(+ b (+ a c))

rewrite737.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity` `add-log-exp`
29×	`sum-log` `distribute-lft-out`
7×	`exp-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `rem-exp-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`
1×	`exp-sum`

Counts

4 → 75

Calls

4 calls:

Slowest

495.0ms	(exp (+ e (+ d (+ b (+ a c)))))
158.0ms	(+ e (+ d (+ b (+ a c))))
58.0ms	(+ d (+ b (+ a c)))
23.0ms	(+ b (+ a c))

series239.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(+ e (+ d (+ b (+ a c))))
65.0ms	(exp (+ e (+ d (+ b (+ a c)))))
45.0ms	(+ d (+ b (+ a c)))
28.0ms	(+ b (+ a c))

simplify4.2s

Counts

45 → 87

Calls

45 calls:

Slowest

411.0ms	(exp (* (cbrt (+ e (+ d (+ b (+ a c))))) (cbrt (+ e (+ d (+ b (+ a c)))))))
310.0ms	(exp (sqrt (+ e (+ d (+ b (+ a c))))))
300.0ms	(+ e (+ d (+ b (+ a c))))
278.0ms	(+ e (+ d (+ b (+ a c))))
264.0ms	(+ e (+ d (+ b (+ a c))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	8000×	pre	80	true
479.0ms	8000×	body	80	valid