Details

Time bar (total: 34.9s)

sample57.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
17.0ms256×body80valid

simplify289.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
289.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite574.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
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
462.0ms
(+ (+ (+ (+ e d) c) b) a)
93.0ms
(+ (+ (+ e d) c) b)
17.0ms
(+ (+ e d) c)

series122.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
70.0ms
(+ (+ (+ (+ e d) c) b) a)
32.0ms
(+ (+ (+ e d) c) b)
19.0ms
(+ (+ e d) c)

simplify3.0s

Counts
29 → 63
Calls
29 calls:
Slowest
351.0ms
(+ (+ (+ (+ e d) c) b) a)
310.0ms
(+ (+ (+ (+ e d) c) b) a)
293.0ms
(+ (+ (+ (+ e d) c) b) a)
263.0ms
(+ (+ (+ (+ e d) c) b) a)
234.0ms
(* (* (* (* (exp e) (exp d)) (exp c)) (exp b)) (exp a))

prune618.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.1b
(exp (+ (+ d e) (+ (+ c a) b)))
0.3b
(+ (+ d e) (+ (+ c a) b))
0.2b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite627.0ms

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
add-sqr-sqrt add-cube-cbrt rem-exp-log
flip3-+ flip-+
pow1
log-prod add-cbrt-cube frac-add add-exp-log insert-posit16
+-commutative associate-+l+ exp-sum
associate-+r+ rem-log-exp
Counts
4 → 93
Calls
4 calls:
Slowest
281.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
236.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
81.0ms
(+ (+ d e) (+ (+ c a) b))
28.0ms
(+ (+ c a) b)

series261.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
76.0ms
(+ (+ d e) (+ (+ c a) b))
70.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
27.0ms
(+ (+ c a) b)

simplify9.5s

Counts
67 → 105
Calls
67 calls:
Slowest
438.0ms
(+ (* (+ (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))))
403.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
394.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
360.0ms
(+ (+ d e) (+ (+ c a) b))
343.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

3.1b
(exp (+ d (+ e (+ (+ c a) b))))
0.2b
(+ d (+ e (+ (+ c a) b)))
0.2b
(+ (+ c a) b)
0.1b
(+ e (+ (+ c a) b))

rewrite834.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity add-log-exp
29×sum-log distribute-lft-out
exp-prod
add-sqr-sqrt add-cube-cbrt rem-exp-log
pow1 add-cbrt-cube add-exp-log insert-posit16
+-commutative flip3-+ flip-+
associate-+r+
associate-+l+ exp-sum
Counts
4 → 75
Calls
4 calls:
Slowest
607.0ms
(exp (+ d (+ e (+ (+ c a) b))))
127.0ms
(+ d (+ e (+ (+ c a) b)))
81.0ms
(+ e (+ (+ c a) b))
17.0ms
(+ (+ c a) b)

series201.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(+ d (+ e (+ (+ c a) b)))
55.0ms
(exp (+ d (+ e (+ (+ c a) b))))
45.0ms
(+ e (+ (+ c a) b))
27.0ms
(+ (+ c a) b)

simplify4.2s

Counts
44 → 87
Calls
44 calls:
Slowest
341.0ms
(exp (sqrt (+ d (+ e (+ (+ c a) b)))))
337.0ms
(+ d (+ e (+ (+ c a) b)))
333.0ms
(exp (* (cbrt (+ d (+ e (+ (+ c a) b)))) (cbrt (+ d (+ e (+ (+ c a) b))))))
299.0ms
(+ d (+ e (+ (+ c a) b)))
283.0ms
(+ d (+ e (+ (+ c a) b)))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
0.3b
(* (exp c) (exp a))
0.3b
(* (* (exp c) (exp a)) (exp b))
0.3b
(* (exp e) (* (* (exp c) (exp a)) (exp b)))

rewrite670.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
23×*-un-lft-identity
20×pow-prod-down prod-exp cbrt-unprod
14×exp-prod
11×add-sqr-sqrt
10×associate-*l* add-exp-log pow-prod-up
add-cube-cbrt
associate-*r*
*-commutative insert-posit16 add-log-exp
unswap-sqr
Counts
4 → 89
Calls
4 calls:
Slowest
431.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
138.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
72.0ms
(* (* (exp c) (exp a)) (exp b))
27.0ms
(* (exp c) (exp a))

series287.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
106.0ms
(* (exp d) (* (exp e) (* (* (exp c) (exp a)) (exp b))))
90.0ms
(* (exp e) (* (* (exp c) (exp a)) (exp b)))
61.0ms
(* (* (exp c) (exp a)) (exp b))
29.0ms
(* (exp c) (exp a))

simplify7.7s

Counts
67 → 101
Calls
67 calls:
Slowest
509.0ms
(* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp e) (exp e)) (exp e)) (* (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp a) (exp a)) (exp a))) (* (* (exp b) (exp b)) (exp b)))))
492.0ms
(* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp e) (* (* (exp c) (exp a)) (exp b))) (* (exp e) (* (* (exp c) (exp a)) (exp b)))) (* (exp e) (* (* (exp c) (exp a)) (exp b)))))
461.0ms
(* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp e) (exp e)) (exp e)) (* (* (* (* (exp c) (exp a)) (exp b)) (* (* (exp c) (exp a)) (exp b))) (* (* (exp c) (exp a)) (exp b)))))
453.0ms
(* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp e) (exp e)) (exp e)) (* (* (* (* (exp c) (exp a)) (* (exp c) (exp a))) (* (exp c) (exp a))) (* (* (exp b) (exp b)) (exp b)))))
323.0ms
(+ d (+ e (+ (+ c a) b)))

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes286.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
680.0ms8000×pre80true
485.0ms8000×body80valid