Details

Time bar (total: 26.5s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
11.0ms256×body80valid

simplify194.0ms

Calls
1 calls:
Slowest
194.0ms
(* (+ a (+ b (+ c d))) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 2 expressions with local error:

3.0b
(+ a (+ b (+ c d)))
0.5b
(+ 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))

series31.0ms

Calls
2 calls:
Slowest
21.0ms
(+ a (+ b (+ c d)))
10.0ms
(+ b (+ c d))

simplify76.0ms

Calls
7 calls:
Slowest
13.0ms
(+ b (+ c d))
11.0ms
(+ a (+ b c))
11.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))

prune216.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ 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))

series21.0ms

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

simplify46.0ms

Calls
3 calls:
Slowest
23.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))
11.0ms
(+ a (+ b c))

prune115.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.2b

localize19.0ms

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))))

rewrite28.0ms

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))

series110.0ms

Calls
4 calls:
Slowest
45.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
26.0ms
(+ a (+ (+ b c) d))
20.0ms
(+ a (+ (+ b c) d))
19.0ms
(+ a (+ (+ b c) d))

simplify9.8s

Calls
39 calls:
Slowest
616.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
568.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
526.0ms
(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))))
485.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
463.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune949.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 1.6b

localize14.0ms

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))))

rewrite60.0ms

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
45.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
7.0ms
(+ (+ a (+ b c)) d)
3.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))

series149.0ms

Calls
4 calls:
Slowest
87.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
24.0ms
(+ a (+ (+ b c) d))
19.0ms
(+ (+ a (+ b c)) d)
19.0ms
(+ a (+ (+ b c) d))

simplify11.3s

Calls
39 calls:
Slowest
797.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
623.0ms
(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))))
602.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ a (+ (+ b c) d))))
597.0ms
(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))))
581.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))

prune833.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 1.1b

regimes1.2s

Accuracy

0% (1.7b remaining)

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

bsearch7.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
567.0ms8000×body80valid
475.0ms8000×pre80true