Details

Time bar (total: 46.0s)

sample41.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
11.0ms256×body80valid

simplify299.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
299.0ms
(* (+ a (+ b (+ c d))) 2)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 2 expressions with local error:

2.6b
(+ a (+ b (+ c d)))
0.5b
(+ b (+ c d))

rewrite50.0ms

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
36.0ms
(+ a (+ b (+ c d)))
11.0ms
(+ b (+ c d))

series62.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(+ a (+ b (+ c d)))
18.0ms
(+ b (+ c d))

simplify948.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
229.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
163.0ms
(* (exp a) (exp (+ b (+ c d))))
160.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
75.0ms
(+ a (+ b (+ c d)))
51.0ms
(+ a (+ b (+ c d)))

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize14.0ms

Local error

Found 1 expressions with local error:

2.6b
(+ a (+ (+ b c) d))

rewrite40.0ms

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
40.0ms
(+ a (+ (+ b c) d))

series408.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
408.0ms
(+ a (+ (+ b c) d))

simplify803.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
234.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
209.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
128.0ms
(* (exp a) (exp (+ (+ b c) d)))
75.0ms
(+ a (+ (+ b c) d))
48.0ms
(+ a (+ (+ b c) d))

prune195.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.5b

localize32.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite686.0ms

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
467.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
87.0ms
(+ a (+ (+ b c) d))
70.0ms
(+ a (+ (+ b c) d))
60.0ms
(+ a (+ (+ b c) d))

series216.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
54.0ms
(+ a (+ (+ b c) d))
52.0ms
(+ a (+ (+ b c) d))
38.0ms
(+ a (+ (+ b c) d))

simplify16.6s

Counts
57 → 103
Calls
57 calls:
Slowest
914.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
912.0ms
(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))))
794.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
754.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
676.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))

prune1.3s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.9b

localize49.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))

rewrite537.0ms

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
383.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
57.0ms
(+ a (+ (+ b c) d))
55.0ms
(+ (+ a (+ b c)) d)
40.0ms
(+ a (+ (+ b c) d))

series260.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
134.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
48.0ms
(+ (+ a (+ b c)) d)
42.0ms
(+ a (+ (+ b c) d))
35.0ms
(+ a (+ (+ b c) d))

simplify18.5s

Counts
57 → 102
Calls
57 calls:
Slowest
1.3s
(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))))
919.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
856.0ms
(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))))
845.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ a (+ (+ b c) d))))
817.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ a (+ (+ b c) d))))

prune1.2s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 0.7b

regimes1.7s

Accuracy

0% (1.9b remaining)

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

bsearch4.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
569.0ms8000×pre80true
499.0ms8000×body80valid