Details

Time bar (total: 31.7s)

sample60.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
19.0ms256×body80valid

simplify240.0ms

Calls
1 calls:
Slowest
240.0ms
(* (+ a (+ b (+ c d))) 2)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 2 expressions with local error:

3.0b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
Calls
2 calls:
Slowest
2.0ms
(+ a (+ b (+ c d)))
1.0ms
(+ b (+ c d))

series76.0ms

Calls
2 calls:
Slowest
48.0ms
(+ a (+ b (+ c d)))
28.0ms
(+ b (+ c d))

simplify127.0ms

Calls
7 calls:
Slowest
28.0ms
(+ b (+ c d))
22.0ms
(+ a (+ b c))
21.0ms
(+ b (+ c d))
21.0ms
(+ b (+ c d))
18.0ms
(+ b (+ c d))

prune288.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize22.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
Calls
1 calls:
Slowest
6.0ms
(+ a (+ (+ b c) d))

series39.0ms

Calls
1 calls:
Slowest
38.0ms
(+ a (+ (+ b c) d))

simplify61.0ms

Calls
3 calls:
Slowest
23.0ms
(+ b (+ c d))
22.0ms
(+ b (+ c d))
16.0ms
(+ a (+ b c))

prune156.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
24.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
3.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))

series220.0ms

Calls
4 calls:
Slowest
70.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
60.0ms
(+ a (+ (+ b c) d))
53.0ms
(+ a (+ (+ b c) d))
37.0ms
(+ a (+ (+ b c) d))

simplify11.2s

Calls
39 calls:
Slowest
677.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
600.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
539.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))
531.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
525.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.1s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.8b

localize27.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
3×+-commutative
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Calls
4 calls:
Slowest
27.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
9.0ms
(+ (+ a (+ b c)) d)
7.0ms
(+ a (+ (+ b c) d))
6.0ms
(+ a (+ (+ b c) d))

series227.0ms

Calls
4 calls:
Slowest
105.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
52.0ms
(+ a (+ (+ b c) d))
38.0ms
(+ a (+ (+ b c) d))
32.0ms
(+ (+ a (+ b c)) d)

simplify13.8s

Calls
39 calls:
Slowest
856.0ms
(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))))
780.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))
774.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
674.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ a (+ (+ b c) d))))
668.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ a (+ (+ b c) d))))

prune1.0s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 1.3b

regimes1.6s

Accuracy

0% (1.7b remaining)

Error of 2.8b against oracle of 1.1b and baseline of 2.8b

bsearch13.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
572.0ms8000×pre80true
535.0ms8000×body80valid