Details

Time bar (total: 28.6s)

sample35.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
10.0ms256×body80valid

simplify246.0ms

Calls
1 calls:
Slowest
246.0ms
(* (+ a (+ b (+ c d))) 2)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize24.0ms

Local error

Found 2 expressions with local error:

3.0b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite51.0ms

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
Calls
2 calls:
Slowest
32.0ms
(+ a (+ b (+ c d)))
19.0ms
(+ b (+ c d))

series81.0ms

Calls
2 calls:
Slowest
58.0ms
(+ a (+ b (+ c d)))
23.0ms
(+ b (+ c d))

simplify912.0ms

Calls
17 calls:
Slowest
185.0ms
(* (exp a) (exp (+ b (+ c d))))
180.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
176.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
52.0ms
(+ a (+ b (+ c d)))
44.0ms
(* (exp b) (exp (+ c d)))

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite49.0ms

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
Calls
1 calls:
Slowest
48.0ms
(+ a (+ (+ b c) d))

series55.0ms

Calls
1 calls:
Slowest
55.0ms
(+ a (+ (+ b c) d))

simplify808.0ms

Calls
9 calls:
Slowest
214.0ms
(* (exp a) (exp (+ (+ b c) d)))
211.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
163.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
59.0ms
(+ a (+ (+ b c) d))
51.0ms
(+ a (+ (+ b c) d))

prune237.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.8b

localize41.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite640.0ms

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
Calls
4 calls:
Slowest
415.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
88.0ms
(+ a (+ (+ b c) d))
80.0ms
(+ a (+ (+ b c) d))
54.0ms
(+ a (+ (+ b c) d))

series203.0ms

Calls
4 calls:
Slowest
72.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
48.0ms
(+ a (+ (+ b c) d))
43.0ms
(+ a (+ (+ b c) d))
39.0ms
(+ a (+ (+ b c) d))

simplify16.6s

Calls
57 calls:
Slowest
882.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
882.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
835.0ms
(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))))
762.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
691.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))

prune1.4s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.3b

localize50.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
1.2b
(+ d (+ a b))
0.9b
(log (exp (+ (+ d (+ a b)) c)))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
27×add-log-exp
21×distribute-lft-out
15×sum-log
7×log-pow
6×add-sqr-sqrt exp-prod add-cube-cbrt
5×pow1
4×log-prod add-cbrt-cube add-exp-log insert-posit16
3×+-commutative associate-+r+ flip3-+ flip-+
1×rem-log-exp exp-sum
Calls
4 calls:
Slowest
227.0ms
(log (exp (+ (+ d (+ a b)) c)))
76.0ms
(+ a (+ (+ b c) d))
51.0ms
(+ a (+ (+ b c) d))
11.0ms
(+ d (+ a b))

series147.0ms

Calls
4 calls:
Slowest
45.0ms
(+ a (+ (+ b c) d))
43.0ms
(log (exp (+ (+ d (+ a b)) c)))
33.0ms
(+ a (+ (+ b c) d))
27.0ms
(+ d (+ a b))

simplify2.8s

Calls
39 calls:
Slowest
565.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
205.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
202.0ms
(log (* (cbrt (exp (+ (+ d (+ a b)) c))) (cbrt (exp (+ (+ d (+ a b)) c)))))
188.0ms
(* (exp a) (exp (+ (+ b c) d)))
167.0ms
(* (exp a) (exp (+ (+ b c) d)))

prune1.0s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 0.8b

regimes1.1s

Accuracy

0% (2.0b remaining)

Error of 2.7b against oracle of 0.7b and baseline of 2.7b

bsearch4.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
597.0ms8000×pre80true
570.0ms8000×body80valid