Details

Time bar (total: 30.7s)

sample59.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
20.0ms256×body80valid

simplify242.0ms

Calls
1 calls:
Slowest
241.0ms
(* (+ a (+ b (+ c d))) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize12.0ms

Local error

Found 2 expressions with local error:

2.7b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite2.0ms

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
1.0ms
(+ a (+ b (+ c d)))
1.0ms
(+ b (+ c d))

series37.0ms

Calls
2 calls:
Slowest
27.0ms
(+ a (+ b (+ c d)))
10.0ms
(+ b (+ c d))

simplify128.0ms

Calls
7 calls:
Slowest
25.0ms
(+ b (+ c d))
23.0ms
(+ b (+ c d))
22.0ms
(+ b (+ c d))
22.0ms
(+ b (+ c d))
21.0ms
(+ b (+ c d))

prune236.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize18.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite6.0ms

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))

series29.0ms

Calls
1 calls:
Slowest
29.0ms
(+ a (+ (+ b c) d))

simplify35.0ms

Calls
3 calls:
Slowest
12.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))
11.0ms
(+ a (+ b c))

prune142.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite54.0ms

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
36.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
8.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))

series134.0ms

Calls
4 calls:
Slowest
56.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
29.0ms
(+ a (+ (+ b c) d))
29.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ a (+ (+ b c) d))

simplify11.6s

Calls
39 calls:
Slowest
627.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
612.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))
601.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
556.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
549.0ms
(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))))

prune999.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 1.5b

localize13.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

rewrite31.0ms

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
19.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
4.0ms
(+ (+ a (+ b c)) d)
3.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))

series175.0ms

Calls
4 calls:
Slowest
86.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
35.0ms
(+ a (+ (+ b c) d))
33.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ (+ a (+ b c)) d)

simplify12.3s

Calls
39 calls:
Slowest
752.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
685.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (+ a (+ b c)) d)))
663.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
654.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d))))
645.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

prune1.0s

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 1.1b

regimes1.6s

Accuracy

0% (1.5b remaining)

Error of 2.8b against oracle of 1.3b and baseline of 2.8b

bsearch8.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
897.0ms8000×pre80true
536.0ms8000×body80valid