Details

Time bar (total: 44.3s)

sample69.0ms

Algorithm
intervals
Results
25.0ms256×pre80true
21.0ms256×body80valid

simplify285.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
285.0ms
(* (+ a (+ b (+ c d))) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize16.0ms

Local error

Found 2 expressions with local error:

2.8b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
9×sum-log distribute-lft-out
2×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
2 → 34
Calls
2 calls:
Slowest
44.0ms
(+ a (+ b (+ c d)))
16.0ms
(+ b (+ c d))

series65.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(+ a (+ b (+ c d)))
27.0ms
(+ b (+ c d))

simplify913.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
184.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
165.0ms
(* (exp a) (exp (+ b (+ c d))))
163.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
77.0ms
(+ a (+ b (+ c d)))
54.0ms
(+ a (+ b (+ c d)))

prune365.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize16.0ms

Local error

Found 1 expressions with local error:

2.8b
(+ a (+ (+ b c) d))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
6×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 18
Calls
1 calls:
Slowest
55.0ms
(+ a (+ (+ b c) d))

series42.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
42.0ms
(+ a (+ (+ b c) d))

simplify775.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
189.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
183.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
176.0ms
(* (exp a) (exp (+ (+ b c) d)))
55.0ms
(+ a (+ (+ b c) d))
54.0ms
(+ a (+ (+ b c) d))

prune221.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.5b

localize19.0ms

Local error

Found 4 expressions with local error:

2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite526.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 91
Calls
4 calls:
Slowest
377.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
53.0ms
(+ a (+ (+ b c) d))
50.0ms
(+ a (+ (+ b c) d))
44.0ms
(+ a (+ (+ b c) d))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
59.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))
33.0ms
(+ a (+ (+ b c) d))

simplify16.5s

Counts
57 → 103
Calls
57 calls:
Slowest
878.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
845.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
822.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
727.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
720.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))

prune1.1s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.9b

localize48.0ms

Local error

Found 4 expressions with local error:

2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))
2.8b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

rewrite632.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
3×+-commutative
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Counts
4 → 90
Calls
4 calls:
Slowest
431.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
86.0ms
(+ (+ a (+ b c)) d)
66.0ms
(+ a (+ (+ b c) d))
47.0ms
(+ a (+ (+ b c) d))

series278.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
48.0ms
(+ a (+ (+ b c) d))
46.0ms
(+ a (+ (+ b c) d))
32.0ms
(+ (+ a (+ b c)) d)

simplify17.8s

Counts
57 → 102
Calls
57 calls:
Slowest
1.0s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
986.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
833.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d))))
799.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
760.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (+ a (+ b c)) d)))

prune1.3s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 0.7b

regimes1.2s

Accuracy

0% (2.0b remaining)

Error of 2.7b against oracle of 0.8b and baseline of 2.7b

bsearch7.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
883.0ms8000×body80valid
568.0ms8000×pre80true