Details

Time bar (total: 32.8s)

sample41.0ms

Algorithm
intervals
Results
13.0ms256×pre80true
12.0ms256×body80valid

simplify191.0ms

Calls
1 calls:
Slowest
191.0ms
(* (+ a (+ b (+ c d))) 2)

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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))

series70.0ms

Calls
2 calls:
Slowest
47.0ms
(+ a (+ b (+ c d)))
23.0ms
(+ b (+ c d))

simplify77.0ms

Calls
7 calls:
Slowest
13.0ms
(+ b (+ c d))
12.0ms
(+ b (+ c d))
12.0ms
(+ b (+ c d))
12.0ms
(+ b (+ c d))
12.0ms
(+ b (+ c d))

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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

series33.0ms

Calls
1 calls:
Slowest
33.0ms
(+ a (+ (+ b c) d))

simplify60.0ms

Calls
3 calls:
Slowest
21.0ms
(+ a (+ b c))
19.0ms
(+ b (+ c d))
19.0ms
(+ b (+ c d))

prune157.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize10.0ms

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))
0.5b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite29.0ms

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
18.0ms
(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))

series158.0ms

Calls
4 calls:
Slowest
62.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
34.0ms
(+ a (+ (+ b c) d))
31.0ms
(+ a (+ (+ b c) d))
31.0ms
(+ a (+ (+ b c) d))

simplify11.9s

Calls
39 calls:
Slowest
697.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))
669.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
632.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
560.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
550.0ms
(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))))

prune1.1s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 1.5b

localize12.0ms

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)
0.5b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

rewrite49.0ms

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
33.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
7.0ms
(+ a (+ (+ b c) d))
4.0ms
(+ (+ a (+ b c)) d)
3.0ms
(+ a (+ (+ b c) d))

series239.0ms

Calls
4 calls:
Slowest
127.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
39.0ms
(+ a (+ (+ b c) d))
37.0ms
(+ (+ a (+ b c)) d)
35.0ms
(+ a (+ (+ b c) d))

simplify13.3s

Calls
39 calls:
Slowest
906.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
780.0ms
(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))))
769.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
626.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
612.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

prune1.1s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 1.2b

regimes2.6s

Accuracy

0% (1.5b remaining)

Error of 2.8b against oracle of 1.2b and baseline of 2.8b

bsearch3.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
719.0ms8000×pre80true
564.0ms8000×body80valid