Details

Time bar (total: 47.1s)

sample45.0ms

Algorithm
intervals
Results
15.0ms256×pre80true
13.0ms256×body80valid

simplify222.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
222.0ms
(* (+ a (+ b (+ c d))) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 2 expressions with local error:

2.9b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite57.0ms

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
46.0ms
(+ a (+ b (+ c d)))
11.0ms
(+ b (+ c d))

series62.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(+ a (+ b (+ c d)))
17.0ms
(+ b (+ c d))

simplify920.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
196.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
177.0ms
(* (exp a) (exp (+ b (+ c d))))
146.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
76.0ms
(+ a (+ b (+ c d)))
57.0ms
(+ a (+ b (+ c d)))

prune426.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 1 expressions with local error:

2.9b
(+ 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
Counts
1 → 18
Calls
1 calls:
Slowest
48.0ms
(+ a (+ (+ b c) d))

series40.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
40.0ms
(+ a (+ (+ b c) d))

simplify747.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
178.0ms
(* (exp a) (exp (+ (+ b c) d)))
174.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
168.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
64.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))

prune186.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.7b

localize31.0ms

Local error

Found 4 expressions with local error:

2.9b
(+ a (+ (+ b c) d))
2.9b
(+ a (+ (+ b c) d))
2.9b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite608.0ms

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
461.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
52.0ms
(+ a (+ (+ b c) d))
47.0ms
(+ a (+ (+ b c) d))
45.0ms
(+ a (+ (+ b c) d))

series206.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
38.0ms
(+ a (+ (+ b c) d))
38.0ms
(+ a (+ (+ b c) d))
35.0ms
(+ a (+ (+ b c) d))

simplify17.4s

Counts
57 → 103
Calls
57 calls:
Slowest
1.3s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
1.0s
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
935.0ms
(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))))
810.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
698.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))

prune1.1s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 1.1b

localize42.0ms

Local error

Found 4 expressions with local error:

2.9b
(+ a (+ (+ b c) d))
2.9b
(+ a (+ (+ b c) d))
2.9b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

rewrite675.0ms

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
413.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
113.0ms
(+ (+ a (+ b c)) d)
81.0ms
(+ a (+ (+ b c) d))
66.0ms
(+ a (+ (+ b c) d))

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
57.0ms
(+ a (+ (+ b c) d))
53.0ms
(+ (+ a (+ b c)) d)
34.0ms
(+ a (+ (+ b c) d))

simplify19.5s

Counts
57 → 102
Calls
57 calls:
Slowest
1.1s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
1.0s
(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))))
944.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
929.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d))))
901.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))

prune1.4s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 0.9b

regimes1.6s

Accuracy

0% (1.9b remaining)

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

bsearch4.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
699.0ms8000×pre80true
536.0ms8000×body80valid