Details

Time bar (total: 8.8s)

sample40.0ms

Algorithm
intervals
Results
16.0ms256×pre80true
12.0ms256×body80valid

simplify532.0ms

Calls
1 calls:
Slowest
532.0ms
(+ (+ (+ (+ e d) c) b) a)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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
74.0ms
(+ (+ (+ (+ e d) c) b) a)
25.0ms
(+ (+ (+ e d) c) b)
5.0ms
(+ (+ e d) c)

series86.0ms

Calls
3 calls:
Slowest
51.0ms
(+ (+ (+ (+ e d) c) b) a)
26.0ms
(+ (+ (+ e d) c) b)
10.0ms
(+ (+ e d) c)

simplify283.0ms

Calls
17 calls:
Slowest
57.0ms
(sqrt (+ (+ (+ e d) c) b))
48.0ms
(* (cbrt (+ (+ (+ e d) c) b)) (cbrt (+ (+ (+ e d) c) b)))
16.0ms
(+ e (+ c d))
16.0ms
(+ e (+ c d))
16.0ms
(+ e (+ c d))

prune552.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite43.0ms

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
34.0ms
(+ (+ (+ e (+ c d)) b) a)
7.0ms
(+ (+ e (+ c d)) b)
1.0ms
(+ e (+ c d))

series92.0ms

Calls
3 calls:
Slowest
50.0ms
(+ (+ (+ e (+ c d)) b) a)
28.0ms
(+ (+ e (+ c d)) b)
14.0ms
(+ e (+ c d))

simplify290.0ms

Calls
14 calls:
Slowest
65.0ms
(* (cbrt (+ (+ e (+ c d)) b)) (cbrt (+ (+ e (+ c d)) b)))
43.0ms
(sqrt (+ (+ e (+ c d)) b))
17.0ms
(* (cbrt (+ e (+ c d))) (cbrt (+ e (+ c d))))
17.0ms
(+ e (+ c d))
17.0ms
(+ a (+ b d))

prune464.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×flip3-+ flip-+
5×*-un-lft-identity
4×frac-add add-log-exp
3×add-sqr-sqrt fma-def add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative associate-+r+ add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
1×associate-+l+ sum-log distribute-lft-out
Calls
2 calls:
Slowest
6.0ms
(+ (+ e (+ c d)) (+ b a))
1.0ms
(+ e (+ c d))

series59.0ms

Calls
2 calls:
Slowest
44.0ms
(+ (+ e (+ c d)) (+ b a))
15.0ms
(+ e (+ c d))

simplify2.5s

Calls
18 calls:
Slowest
488.0ms
(* (- e (+ c d)) (+ (* b b) (- (* a a) (* b a))))
376.0ms
(* (- e (+ c d)) (- b a))
363.0ms
(+ (* (- (* e e) (* (+ c d) (+ c d))) (+ (* b b) (- (* a a) (* b a)))) (* (- e (+ c d)) (+ (pow b 3) (pow a 3))))
341.0ms
(+ (* (+ (pow e 3) (pow (+ c d) 3)) (+ (* b b) (- (* a a) (* b a)))) (* (+ (* e e) (- (* (+ c d) (+ c d)) (* e (+ c d)))) (+ (pow b 3) (pow a 3))))
180.0ms
(* (+ (* e e) (- (* (+ c d) (+ c d)) (* e (+ c d)))) (+ (* b b) (- (* a a) (* b a))))

prune314.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×flip3-+ flip-+
5×*-un-lft-identity
4×frac-add add-log-exp
3×add-sqr-sqrt fma-def add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative associate-+r+ add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
1×associate-+l+ sum-log distribute-lft-out
Calls
2 calls:
Slowest
6.0ms
(+ (+ c d) (+ b a))
5.0ms
(+ e (+ (+ c d) (+ b a)))

series62.0ms

Calls
2 calls:
Slowest
36.0ms
(+ e (+ (+ c d) (+ b a)))
26.0ms
(+ (+ c d) (+ b a))

simplify1.5s

Calls
19 calls:
Slowest
245.0ms
(+ (* (+ (pow c 3) (pow d 3)) (+ (* b b) (- (* a a) (* b a)))) (* (+ (* c c) (- (* d d) (* c d))) (+ (pow b 3) (pow a 3))))
222.0ms
(+ (* (- (* c c) (* d d)) (+ (* b b) (- (* a a) (* b a)))) (* (- c d) (+ (pow b 3) (pow a 3))))
208.0ms
(* (- c d) (+ (* b b) (- (* a a) (* b a))))
148.0ms
(* (+ (* c c) (- (* d d) (* c d))) (- b a))
121.0ms
(* (+ (* c c) (- (* d d) (* c d))) (+ (* b b) (- (* a a) (* b a))))

prune354.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes375.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
478.0ms8000×pre80true
416.0ms8000×body80valid