Details

Time bar (total: 28.8s)

sample48.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
12.0ms256×body80valid

simplify208.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
208.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite427.0ms

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
321.0ms
(+ (+ (+ (+ e d) c) b) a)
88.0ms
(+ (+ (+ e d) c) b)
17.0ms
(+ (+ e d) c)

series139.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(+ (+ (+ (+ e d) c) b) a)
42.0ms
(+ (+ (+ e d) c) b)
19.0ms
(+ (+ e d) c)

simplify2.5s

Counts
29 → 63
Calls
29 calls:
Slowest
247.0ms
(+ (+ (+ (+ e d) c) b) a)
230.0ms
(+ (+ (+ (+ e d) c) b) a)
224.0ms
(+ (+ (+ (+ e d) c) b) a)
212.0ms
(+ (+ (+ (+ e d) c) b) a)
187.0ms
(* (exp (+ (+ e d) c)) (exp b))

prune507.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.3b
(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))))

rewrite648.0ms

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
310.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
224.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
77.0ms
(+ (+ d e) (+ (+ c a) b))
34.0ms
(+ (+ c a) b)

series203.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
66.0ms
(+ (+ d e) (+ (+ c a) b))
51.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
18.0ms
(+ (+ c a) b)

simplify8.2s

Counts
67 → 105
Calls
67 calls:
Slowest
528.0ms
(+ (* (+ (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))))
500.0ms
(+ (+ d e) (+ (+ c a) b))
371.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
349.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
290.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite531.0ms

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
378.0ms
(exp (+ e (+ a (+ b (+ c d)))))
106.0ms
(+ e (+ a (+ b (+ c d))))
35.0ms
(+ a (+ b (+ c d)))
10.0ms
(+ b (+ c d))

series193.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(+ e (+ a (+ b (+ c d))))
55.0ms
(exp (+ e (+ a (+ b (+ c d)))))
40.0ms
(+ a (+ b (+ c d)))
27.0ms
(+ b (+ c d))

simplify3.4s

Counts
45 → 87
Calls
45 calls:
Slowest
322.0ms
(exp (* (cbrt (+ e (+ a (+ b (+ c d))))) (cbrt (+ e (+ a (+ b (+ c d)))))))
241.0ms
(+ e (+ a (+ b (+ c d))))
229.0ms
(exp (sqrt (+ e (+ a (+ b (+ c d))))))
225.0ms
(+ e (+ a (+ b (+ c d))))
220.0ms
(+ e (+ a (+ b (+ c d))))

prune904.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (exp c) (exp d))
0.3b
(* (exp a) (* (exp b) (* (exp c) (exp d))))
0.3b
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
0.3b
(* (exp b) (* (exp c) (exp d)))

rewrite409.0ms

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
12×associate-*l*
11×add-sqr-sqrt
10×add-exp-log pow-prod-up
9×add-cube-cbrt
6×associate-*r*
4×*-commutative insert-posit16 add-log-exp
1×unswap-sqr
Counts
4 → 89
Calls
4 calls:
Slowest
270.0ms
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
89.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
31.0ms
(* (exp b) (* (exp c) (exp d)))
18.0ms
(* (exp c) (exp d))

series219.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
61.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
45.0ms
(* (exp b) (* (exp c) (exp d)))
23.0ms
(* (exp c) (exp d))

simplify6.3s

Counts
66 → 101
Calls
66 calls:
Slowest
475.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp d) (exp d)) (exp d))))))
380.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (* (exp c) (exp d))) (* (exp b) (* (exp c) (exp d)))) (* (exp b) (* (exp c) (exp d))))))
356.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (* (exp b) (* (exp c) (exp d)))) (* (exp a) (* (exp b) (* (exp c) (exp d))))) (* (exp a) (* (exp b) (* (exp c) (exp d))))))
347.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp d)) (* (exp c) (exp d))) (* (exp c) (exp d))))))
271.0ms
(* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp d) (exp d)) (exp d)))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
632.0ms8000×pre80true
381.0ms8000×body80valid