Details

Time bar (total: 19.3s)

sample59.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
19.0ms256×body80valid

simplify348.0ms

Calls
1 calls:
Slowest
348.0ms
(* (+ a (+ b (+ c d))) 2)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 log1p-expm1-u add-log-exp
Calls
2 calls:
Slowest
2.0ms
(+ a (+ b (+ c d)))
1.0ms
(+ b (+ c d))

series60.0ms

Calls
2 calls:
Slowest
43.0ms
(+ a (+ b (+ c d)))
17.0ms
(+ b (+ c d))

simplify133.0ms

Calls
7 calls:
Slowest
24.0ms
(+ b (+ c d))
24.0ms
(+ b (+ c d))
24.0ms
(+ b (+ c d))
24.0ms
(+ b (+ c d))
19.0ms
(+ b (+ c d))

prune366.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
6.0ms
(+ a (+ (+ b c) d))

series38.0ms

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

simplify61.0ms

Calls
3 calls:
Slowest
24.0ms
(+ a (+ b c))
23.0ms
(+ b (+ c d))
12.0ms
(+ b (+ c d))

prune216.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

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))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
21.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
4.0ms
(+ a (+ (+ b c) d))
4.0ms
(+ a (+ (+ b c) d))
4.0ms
(+ a (+ (+ b c) d))

series259.0ms

Calls
4 calls:
Slowest
96.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
56.0ms
(+ a (+ (+ b c) d))
55.0ms
(+ a (+ (+ b c) d))
52.0ms
(+ a (+ (+ b c) d))

simplify12.5s

Calls
39 calls:
Slowest
708.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
700.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
695.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
608.0ms
(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))))
548.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

prune1.3s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 1.6b

localize1.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
7.0ms
(+ a (+ (+ b c) d))

series43.0ms

Calls
1 calls:
Slowest
43.0ms
(+ a (+ (+ b c) d))

simplify44.0ms

Calls
3 calls:
Slowest
19.0ms
(+ b (+ c d))
12.0ms
(+ a (+ b c))
12.0ms
(+ b (+ c d))

prune168.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 1.6b

regimes2.2s

Accuracy

0% (1.1b remaining)

Error of 2.8b against oracle of 1.6b and baseline of 2.8b

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
583.0ms8000×pre80true
577.0ms8000×body80valid