Details

Time bar (total: 12.1s)

sample53.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
18.0ms256×pre80true

simplify253.0ms

Calls
1 calls:
Slowest
253.0ms
(+ (+ (+ (+ e d) c) b) a)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (+ (+ (+ e d) c) b) a)
0.2b
(+ (+ e d) c)
0.2b
(+ (+ (+ e d) c) b)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
9×fma-def
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u add-log-exp
Calls
3 calls:
Slowest
84.0ms
(+ (+ (+ (+ e d) c) b) a)
29.0ms
(+ (+ (+ e d) c) b)
6.0ms
(+ (+ e d) c)

series111.0ms

Calls
3 calls:
Slowest
62.0ms
(+ (+ (+ (+ e d) c) b) a)
32.0ms
(+ (+ (+ e d) c) b)
18.0ms
(+ (+ e d) c)

simplify345.0ms

Calls
17 calls:
Slowest
74.0ms
(sqrt (+ (+ (+ e d) c) b))
48.0ms
(* (cbrt (+ (+ (+ e d) c) b)) (cbrt (+ (+ (+ e d) c) b)))
21.0ms
(* (cbrt (+ (+ e d) c)) (cbrt (+ (+ e d) c)))
20.0ms
(+ (+ e d) c)
20.0ms
(+ e (+ c d))

prune510.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ (+ e d) c) (+ b a))
0.2b
(+ (+ e d) c)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
6×fma-def *-un-lft-identity flip3-+ flip-+
4×add-sqr-sqrt frac-add add-cube-cbrt add-log-exp
2×expm1-log1p-u pow1 +-commutative associate-+l+ add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
1×associate-+r+ sum-log distribute-lft-out
Calls
2 calls:
Slowest
18.0ms
(+ (+ (+ e d) c) (+ b a))
5.0ms
(+ (+ e d) c)

series71.0ms

Calls
2 calls:
Slowest
54.0ms
(+ (+ (+ e d) c) (+ b a))
17.0ms
(+ (+ e d) c)

simplify2.3s

Calls
21 calls:
Slowest
431.0ms
(+ (* (+ (pow (+ e d) 3) (pow c 3)) (+ (* b b) (- (* a a) (* b a)))) (* (+ (* (+ e d) (+ e d)) (- (* c c) (* (+ e d) c))) (+ (pow b 3) (pow a 3))))
367.0ms
(+ (* (- (* (+ e d) (+ e d)) (* c c)) (+ (* b b) (- (* a a) (* b a)))) (* (- (+ e d) c) (+ (pow b 3) (pow a 3))))
270.0ms
(+ (+ (+ e d) c) (+ b a))
202.0ms
(* (+ (* (+ e d) (+ e d)) (- (* c c) (* (+ e d) c))) (+ (* b b) (- (* a a) (* b a))))
200.0ms
(+ (* (- (* (+ e d) (+ e d)) (* c c)) (- b a)) (* (- (+ e d) c) (- (* b b) (* a a))))

prune519.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ b (+ (+ d e) (+ c a))))
0.2b
(+ b (+ (+ d e) (+ c a)))
0.2b
(+ (+ d e) (+ c a))
0.0b
(log (exp (+ b (+ (+ d e) (+ c a)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×exp-prod flip3-+ flip-+
5×pow1
4×expm1-log1p-u log-prod add-cbrt-cube frac-add add-exp-log log-pow insert-posit16 log1p-expm1-u
3×fma-def
2×+-commutative associate-+r+ exp-sum
1×associate-+l+ sum-log rem-log-exp distribute-lft-out rem-exp-log
Calls
4 calls:
Slowest
29.0ms
(log (exp (+ b (+ (+ d e) (+ c a)))))
12.0ms
(exp (+ b (+ (+ d e) (+ c a))))
4.0ms
(+ (+ d e) (+ c a))
4.0ms
(+ b (+ (+ d e) (+ c a)))

series165.0ms

Calls
4 calls:
Slowest
50.0ms
(+ b (+ (+ d e) (+ c a)))
46.0ms
(exp (+ b (+ (+ d e) (+ c a))))
41.0ms
(log (exp (+ b (+ (+ d e) (+ c a)))))
28.0ms
(+ (+ d e) (+ c a))

simplify3.6s

Calls
37 calls:
Slowest
259.0ms
(+ (* (- (* d d) (* e e)) (+ (* c c) (- (* a a) (* c a)))) (* (- d e) (+ (pow c 3) (pow a 3))))
258.0ms
(sqrt (+ b (+ (+ d e) (+ c a))))
253.0ms
(exp (sqrt (+ b (+ (+ d e) (+ c a)))))
251.0ms
(exp (* (cbrt (+ b (+ (+ d e) (+ c a)))) (cbrt (+ b (+ (+ d e) (+ c a))))))
246.0ms
(+ b (+ (+ d e) (+ c a)))

prune855.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (+ (+ e (+ c d)) b) a)
0.2b
(+ (+ e (+ c d)) b)
0.1b
(+ e (+ c d))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
6×fma-def
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u add-log-exp
2×associate-+l+
1×associate-+r+
Calls
3 calls:
Slowest
37.0ms
(+ (+ (+ e (+ c d)) b) a)
12.0ms
(+ (+ e (+ c d)) b)
2.0ms
(+ e (+ c d))

series89.0ms

Calls
3 calls:
Slowest
55.0ms
(+ (+ (+ e (+ c d)) b) a)
20.0ms
(+ (+ e (+ c d)) b)
14.0ms
(+ e (+ c d))

simplify327.0ms

Calls
14 calls:
Slowest
62.0ms
(sqrt (+ (+ e (+ c d)) b))
48.0ms
(* (cbrt (+ (+ e (+ c d)) b)) (cbrt (+ (+ e (+ c d)) b)))
26.0ms
(* (cbrt (+ e (+ c d))) (cbrt (+ e (+ c d))))
19.0ms
(+ a (+ b d))
19.0ms
(+ e (+ c d))

prune495.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes485.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
926.0ms8000×pre80true
432.0ms8000×body80valid