Details

Time bar (total: 6.4s)

sample47.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
13.0ms256×body80valid

simplify224.0ms

Calls
1 calls:
Slowest
224.0ms
(+ (+ (+ (+ e d) c) b) a)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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
71.0ms
(+ (+ (+ (+ e d) c) b) a)
14.0ms
(+ (+ (+ e d) c) b)
6.0ms
(+ (+ e d) c)

series138.0ms

Calls
3 calls:
Slowest
73.0ms
(+ (+ (+ (+ e d) c) b) a)
44.0ms
(+ (+ (+ e d) c) b)
21.0ms
(+ (+ e d) c)

simplify303.0ms

Calls
17 calls:
Slowest
64.0ms
(* (cbrt (+ (+ (+ e d) c) b)) (cbrt (+ (+ (+ e d) c) b)))
43.0ms
(sqrt (+ (+ (+ e d) c) b))
20.0ms
(* (cbrt (+ (+ e d) c)) (cbrt (+ (+ e d) c)))
17.0ms
(sqrt (+ (+ e d) c))
17.0ms
(+ e (+ c d))

prune515.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×fma-def
6×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 distribute-lft-out
1×associate-+r+ sum-log
Calls
2 calls:
Slowest
31.0ms
(+ (+ (+ e d) (+ c b)) a)
7.0ms
(+ (+ e d) (+ c b))

series115.0ms

Calls
2 calls:
Slowest
73.0ms
(+ (+ (+ e d) (+ c b)) a)
42.0ms
(+ (+ e d) (+ c b))

simplify1.7s

Calls
21 calls:
Slowest
278.0ms
(+ (* (- (* e e) (* d d)) (+ (* c c) (- (* b b) (* c b)))) (* (- e d) (+ (pow c 3) (pow b 3))))
240.0ms
(+ (* (+ (pow e 3) (pow d 3)) (+ (* c c) (- (* b b) (* c b)))) (* (+ (* e e) (- (* d d) (* e d))) (+ (pow c 3) (pow b 3))))
230.0ms
(* (- e d) (+ (* c c) (- (* b b) (* c b))))
164.0ms
(* (+ (* e e) (- (* d d) (* e d))) (- c b))
129.0ms
(* (+ (* e e) (- (* d d) (* e d))) (+ (* c c) (- (* b b) (* c b))))

prune357.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

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

series120.0ms

Calls
3 calls:
Slowest
61.0ms
(+ (+ e (+ d (+ c b))) a)
36.0ms
(+ e (+ d (+ c b)))
23.0ms
(+ d (+ c b))

simplify212.0ms

Calls
12 calls:
Slowest
56.0ms
(* (cbrt (+ e (+ d (+ c b)))) (cbrt (+ e (+ d (+ c b)))))
41.0ms
(sqrt (+ e (+ d (+ c b))))
15.0ms
(+ b (+ c d))
15.0ms
(+ b (+ c d))
12.0ms
(+ a (+ b c))

prune379.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 +-commutative fma-def flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u add-log-exp
2×associate-+r+
1×associate-+l+
Calls
3 calls:
Slowest
5.0ms
(+ e (+ (+ d (+ c b)) a))
5.0ms
(+ (+ d (+ c b)) a)
1.0ms
(+ d (+ c b))

series106.0ms

Calls
3 calls:
Slowest
57.0ms
(+ e (+ (+ d (+ c b)) a))
32.0ms
(+ (+ d (+ c b)) a)
17.0ms
(+ d (+ c b))

simplify160.0ms

Calls
11 calls:
Slowest
17.0ms
(+ e (+ c d))
16.0ms
(+ a (+ b c))
16.0ms
(+ a (+ b c))
16.0ms
(+ a (+ b c))
15.0ms
(+ a (+ b c))

prune372.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes317.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
615.0ms8000×pre80true
398.0ms8000×body80valid