Details

Time bar (total: 13.2s)

sample61.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
18.0ms256×body80valid

simplify433.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 2 expressions with local error:

2.8b
(+ a (+ b (+ c d)))
0.5b
(+ b (+ c d))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
9×sum-log distribute-lft-out
6×fma-def
4×add-sqr-sqrt add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
2 → 44
Calls
2 calls:
Slowest
43.0ms
(+ a (+ b (+ c d)))
20.0ms
(+ b (+ c d))

series433.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
414.0ms
(+ a (+ b (+ c d)))
19.0ms
(+ b (+ c d))

simplify1.1s

Counts
50 → 50

prune464.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
6×sum-log distribute-lft-out
3×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 23
Calls
1 calls:
Slowest
67.0ms
(+ a (+ (+ b c) d))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
52.0ms
(+ a (+ (+ b c) d))

simplify1.1s

Counts
26 → 26

prune271.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.1b

localize38.0ms

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))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite598.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
31×add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
9×fma-def
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 108
Calls
4 calls:
Slowest
369.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
90.0ms
(+ a (+ (+ b c) d))
70.0ms
(+ a (+ (+ b c) d))
65.0ms
(+ a (+ (+ b c) d))

series277.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
105.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
58.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))
56.0ms
(+ a (+ (+ b c) d))

simplify754.0ms

Counts
120 → 120

prune1.5s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 1.8b

localize45.0ms

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)
0.6b
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite602.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
21×distribute-lft-out
18×sum-log
14×associate-*l/
11×fma-def
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Counts
4 → 109
Calls
4 calls:
Slowest
407.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
83.0ms
(+ (+ a (+ b c)) d)
60.0ms
(+ a (+ (+ b c) d))
50.0ms
(+ a (+ (+ b c) d))

series283.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
160.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
43.0ms
(+ a (+ (+ b c) d))
41.0ms
(+ a (+ (+ b c) d))
38.0ms
(+ (+ a (+ b c)) d)

simplify1.2s

Counts
121 → 121

prune1.3s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 1.4b

regimes1.3s

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 2.9b

bsearch4.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
512.0ms8000×pre80true
476.0ms8000×body80valid