Details

Time bar (total: 19.5s)

sample101.0ms

Algorithm
intervals
Results
48.0ms257×body80nan
36.0ms256×body80valid

simplify2.7s

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt 2) 4) (* v v))
0.0b
(- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))
0.0b
(sqrt (fma (* v v) -3 1))
0.0b
(* (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v))) (sqrt (fma (* v v) -3 1)))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×times-frac
47×*-un-lft-identity add-cube-cbrt
35×sqrt-prod
25×associate-*l*
22×fma-neg prod-diff
18×add-cbrt-cube add-exp-log
12×pow1
9×associate-*l/
7×associate-*r* prod-exp cbrt-unprod
6×add-log-exp
5×unswap-sqr
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u
3×div-inv
2×cbrt-undiv flip3-- div-exp *-commutative frac-sub flip-- sub-div
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
4 → 154
Calls
4 calls:
Slowest
118.0ms
(* (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v))) (sqrt (fma (* v v) -3 1)))
46.0ms
(- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))
27.0ms
(* (/ (sqrt 2) 4) (* v v))
2.0ms
(sqrt (fma (* v v) -3 1))

series720.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
286.0ms
(* (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v))) (sqrt (fma (* v v) -3 1)))
237.0ms
(- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))
109.0ms
(* (/ (sqrt 2) 4) (* v v))
88.0ms
(sqrt (fma (* v v) -3 1))

simplify938.0ms

Counts
166 → 166

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt 2) 4) (* v v))
0.0b
(- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))
0.0b
(sqrt (fma (* v v) -3 1))
0.0b
(* (expm1 (log1p (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v))))) (sqrt (fma (* v v) -3 1)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×times-frac
47×*-un-lft-identity add-cube-cbrt
35×sqrt-prod
25×associate-*l*
22×fma-neg prod-diff
18×add-cbrt-cube add-exp-log
12×pow1
7×associate-*r* prod-exp cbrt-unprod
6×add-log-exp
5×unswap-sqr
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u
3×associate-*l/ div-inv
2×cbrt-undiv div-exp *-commutative
1×rem-sqrt-square sub-neg sqrt-pow1 flip3-- pow1/2 diff-log frac-sub flip-- sub-div
Counts
4 → 150
Calls
4 calls:
Slowest
46.0ms
(- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))
38.0ms
(* (/ (sqrt 2) 4) (* v v))
7.0ms
(* (expm1 (log1p (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v))))) (sqrt (fma (* v v) -3 1)))
1.0ms
(sqrt (fma (* v v) -3 1))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
795.0ms
(* (expm1 (log1p (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v))))) (sqrt (fma (* v v) -3 1)))
184.0ms
(- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v v)))
97.0ms
(sqrt (fma (* v v) -3 1))
78.0ms
(* (/ (sqrt 2) 4) (* v v))

simplify1.7s

Counts
162 → 162

prune2.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt 2) 4) (* v v))
0.0b
(fma (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (cbrt (sqrt 2)) 4) (- (* (/ (sqrt 2) 4) (* v v))))
0.0b
(sqrt (fma (* v v) -3 1))
0.0b
(* (fma (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (cbrt (sqrt 2)) 4) (- (* (/ (sqrt 2) 4) (* v v)))) (sqrt (fma (* v v) -3 1)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×associate-*l*
21×*-un-lft-identity add-cube-cbrt
20×times-frac
18×add-cbrt-cube add-exp-log
17×sqrt-prod
12×pow1
7×associate-*r* prod-exp cbrt-unprod
5×unswap-sqr
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp *-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ fma-udef div-inv
Counts
4 → 100
Calls
4 calls:
Slowest
49.0ms
(* (/ (sqrt 2) 4) (* v v))
14.0ms
(* (fma (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (cbrt (sqrt 2)) 4) (- (* (/ (sqrt 2) 4) (* v v)))) (sqrt (fma (* v v) -3 1)))
2.0ms
(sqrt (fma (* v v) -3 1))
0.0ms
(fma (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (cbrt (sqrt 2)) 4) (- (* (/ (sqrt 2) 4) (* v v))))

series1.8s

Counts
4 → 12
Calls
4 calls:
Slowest
1.2s
(fma (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (cbrt (sqrt 2)) 4) (- (* (/ (sqrt 2) 4) (* v v))))
439.0ms
(* (fma (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (cbrt (sqrt 2)) 4) (- (* (/ (sqrt 2) 4) (* v v)))) (sqrt (fma (* v v) -3 1)))
109.0ms
(* (/ (sqrt 2) 4) (* v v))
68.0ms
(sqrt (fma (* v v) -3 1))

simplify724.0ms

Counts
112 → 112

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s7927×body80nan
1.2s8000×body80valid