Details

Time bar (total: 44.5s)

sample62.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
19.0ms256×pre80true

simplify285.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
284.0ms
(* (+ a (+ b (+ c d))) 2)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize21.0ms

Local error

Found 2 expressions with local error:

2.6b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite54.0ms

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
31.0ms
(+ a (+ b (+ c d)))
22.0ms
(+ b (+ c d))

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
41.0ms
(+ a (+ b (+ c d)))
27.0ms
(+ b (+ c d))

simplify912.0ms

Counts
17 → 40
Calls
17 calls:
Slowest
207.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
169.0ms
(* (exp a) (exp (+ b (+ c d))))
167.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
63.0ms
(+ a (+ b (+ c d)))
45.0ms
(+ a (+ b (+ c d)))

prune435.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite83.0ms

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
83.0ms
(+ a (+ (+ b c) d))

series54.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
54.0ms
(+ a (+ (+ b c) d))

simplify786.0ms

Counts
9 → 21
Calls
9 calls:
Slowest
185.0ms
(* (exp a) (exp (+ (+ b c) d)))
182.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
176.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
67.0ms
(+ a (+ (+ b c) d))
54.0ms
(+ a (+ (+ b c) d))

prune268.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.4b

localize19.0ms

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))))

rewrite671.0ms

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
485.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
79.0ms
(+ a (+ (+ b c) d))
61.0ms
(+ a (+ (+ b c) d))
43.0ms
(+ a (+ (+ b c) d))

series219.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
53.0ms
(+ a (+ (+ b c) d))
50.0ms
(+ a (+ (+ b c) d))
36.0ms
(+ a (+ (+ b c) d))

simplify15.7s

Counts
57 → 103
Calls
57 calls:
Slowest
975.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
877.0ms
(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))))
825.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
777.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
727.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))

prune1.3s

Pruning

20 alts after pruning (19 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)))

rewrite683.0ms

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
420.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
116.0ms
(+ (+ a (+ b c)) d)
89.0ms
(+ a (+ (+ b c) d))
57.0ms
(+ a (+ (+ b c) d))

series285.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
54.0ms
(+ a (+ (+ b c) d))
53.0ms
(+ a (+ (+ b c) d))
48.0ms
(+ (+ a (+ b c)) d)

simplify18.4s

Counts
57 → 102
Calls
57 calls:
Slowest
1.2s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (+ a (+ b c)) d)))
1.1s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
951.0ms
(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))))
868.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
801.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))

prune1.2s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 0.7b

regimes1.7s

Accuracy

0% (1.9b remaining)

Error of 2.8b against oracle of 0.8b and baseline of 2.8b

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
590.0ms8000×pre80true
500.0ms8000×body80valid