Details

Time bar (total: 45.5s)

sample66.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
20.0ms256×body80valid

simplify251.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
250.0ms
(* (+ a (+ b (+ c d))) 2)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize26.0ms

Local error

Found 2 expressions with local error:

2.9b
(+ 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
Counts
2 → 34
Calls
2 calls:
Slowest
29.0ms
(+ a (+ b (+ c d)))
21.0ms
(+ b (+ c d))

series86.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
58.0ms
(+ a (+ b (+ c d)))
27.0ms
(+ b (+ c d))

simplify1.0s

Counts
17 → 40
Calls
17 calls:
Slowest
213.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
188.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
158.0ms
(* (exp a) (exp (+ b (+ c d))))
76.0ms
(+ a (+ b (+ c d)))
73.0ms
(+ a (+ b (+ c d)))

prune303.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite86.0ms

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
85.0ms
(+ a (+ (+ b c) d))

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
47.0ms
(+ a (+ (+ b c) d))

simplify678.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
193.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
185.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
115.0ms
(* (exp a) (exp (+ (+ b c) d)))
57.0ms
(+ a (+ (+ b c) d))
49.0ms
(+ a (+ (+ b c) d))

prune195.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.7b

localize43.0ms

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))))

rewrite680.0ms

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
495.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
79.0ms
(+ a (+ (+ b c) d))
59.0ms
(+ a (+ (+ b c) d))
45.0ms
(+ a (+ (+ b c) d))

series184.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
43.0ms
(+ a (+ (+ b c) d))
39.0ms
(+ a (+ (+ b c) d))
31.0ms
(+ a (+ (+ b c) d))

simplify16.9s

Counts
57 → 103
Calls
57 calls:
Slowest
900.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
850.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
846.0ms
(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))))
842.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
783.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.3s

Pruning

21 alts after pruning (20 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))))

rewrite598.0ms

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
418.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
73.0ms
(+ (+ a (+ b c)) d)
58.0ms
(+ a (+ (+ b c) d))
47.0ms
(+ a (+ (+ b c) d))

series293.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
53.0ms
(+ a (+ (+ b c) d))
48.0ms
(+ a (+ (+ b c) d))
37.0ms
(+ (+ a (+ b c)) d)

simplify18.9s

Counts
57 → 102
Calls
57 calls:
Slowest
982.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
867.0ms
(cbrt (* (* (+ (pow (+ a (+ b c)) 3) (pow d 3)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
819.0ms
(cbrt (* (* (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
799.0ms
(cbrt (* (* (+ (pow (+ a (+ b c)) 3) (pow d 3)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
799.0ms
(cbrt (* (* (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.1s

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 0.8b

regimes1.4s

Accuracy

0% (1.9b remaining)

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

bsearch8.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
589.0ms8000×body80valid
576.0ms8000×pre80true