Details

Time bar (total: 46.2s)

sample67.0ms

Algorithm
intervals
Results
24.0ms256×pre80true
20.0ms256×body80valid

simplify224.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
224.0ms
(* (+ a (+ b (+ c d))) 2)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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
56.0ms
(+ a (+ b (+ c d)))
13.0ms
(+ b (+ c d))

series53.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(+ a (+ b (+ c d)))
16.0ms
(+ b (+ c d))

simplify985.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
187.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
181.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
150.0ms
(* (exp a) (exp (+ b (+ c d))))
78.0ms
(+ a (+ b (+ c d)))
78.0ms
(+ a (+ b (+ c d)))

prune421.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

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
71.0ms
(+ a (+ (+ b c) d))

series40.0ms

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

simplify825.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
238.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
188.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
148.0ms
(* (exp a) (exp (+ (+ b c) d)))
75.0ms
(+ a (+ (+ b c) d))
70.0ms
(+ a (+ (+ b c) d))

prune247.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.5b

localize44.0ms

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))))

rewrite1.0s

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
476.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
429.0ms
(+ a (+ (+ b c) d))
59.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))

series213.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
54.0ms
(+ a (+ (+ b c) d))
45.0ms
(+ a (+ (+ b c) d))
45.0ms
(+ a (+ (+ b c) d))

simplify16.7s

Counts
57 → 103
Calls
57 calls:
Slowest
896.0ms
(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))))
864.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
745.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
744.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
724.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))

prune1.3s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 1.0b

localize41.0ms

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))))

rewrite699.0ms

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
469.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
104.0ms
(+ (+ a (+ b c)) d)
72.0ms
(+ a (+ (+ b c) d))
52.0ms
(+ a (+ (+ b c) d))

series247.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
44.0ms
(+ a (+ (+ b c) d))
41.0ms
(+ (+ a (+ b c)) d)
33.0ms
(+ a (+ (+ b c) d))

simplify19.1s

Counts
57 → 102
Calls
57 calls:
Slowest
1.1s
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
967.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
907.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
844.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ a (+ (+ b c) d))))
829.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.2s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 0.7b

regimes1.3s

Accuracy

0% (1.9b remaining)

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

bsearch8.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
598.0ms8000×body80valid
556.0ms8000×pre80true