Details

Time bar (total: 18.3s)

sample177.0ms

Algorithm
intervals
Results
56.0ms276×body80nan
36.0ms152×body160valid
32.0ms532×pre80true
17.0ms43×body320valid
7.0ms61×body80valid

simplify124.0ms

Counts
1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.6b

localize41.0ms

Local error

Found 4 expressions with local error:

37.9b
(- (sqrt (fma c (* -3 a) (* b b))) b)
0.3b
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
0.1b
(fma c (* -3 a) (* b b))
0.1b
(sqrt (fma c (* -3 a) (* b b)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff sqrt-prod
9×add-cbrt-cube add-exp-log
6×times-frac fma-neg associate-/l* add-log-exp difference-of-squares
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-lft-out--
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×rem-sqrt-square clear-num associate-/r* sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp cbrt-unprod fma-udef div-inv
Counts
4 → 102
Calls
4 calls:
Slowest
38.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
22.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
2.0ms
(sqrt (fma c (* -3 a) (* b b)))
0.0ms
(fma c (* -3 a) (* b b))

series484.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
144.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
139.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
119.0ms
(sqrt (fma c (* -3 a) (* b b)))
82.0ms
(fma c (* -3 a) (* b b))

simplify450.0ms

Counts
145 → 114

prune1.5s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 40.0b

localize34.0ms

Local error

Found 4 expressions with local error:

43.1b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.3b
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
0.1b
(fma c (* -3 a) (* b b))
0.1b
(fma c (* -3 a) (* b b))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×times-frac fma-udef associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 57
Calls
4 calls:
Slowest
7.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
0.0ms
(fma c (* -3 a) (* b b))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma c (* -3 a) (* b b))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
580.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
406.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
89.0ms
(fma c (* -3 a) (* b b))
75.0ms
(fma c (* -3 a) (* b b))

simplify1.7s

Counts
73 → 69

prune1.0s

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.0b

localize56.0ms

Local error

Found 4 expressions with local error:

43.1b
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.3b
(/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
0.2b
(* (* a -3) c)
0.1b
(fma c (* -3 a) (* b b))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
9×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv div-exp fma-udef
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative div-inv
Counts
4 → 67
Calls
4 calls:
Slowest
26.0ms
(* (* a -3) c)
13.0ms
(/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
1.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma c (* -3 a) (* b b))

series472.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
218.0ms
(/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
139.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
90.0ms
(fma c (* -3 a) (* b b))
25.0ms
(* (* a -3) c)

simplify541.0ms

Counts
82 → 79

prune1.5s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 40.0b

localize127.0ms

Local error

Found 4 expressions with local error:

43.1b
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
43.1b
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
43.1b
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.6b
(cbrt (* (* (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)) (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))) (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-div
5×frac-times associate-*l/
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r/ fma-udef
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 53
Calls
4 calls:
Slowest
118.0ms
(cbrt (* (* (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)) (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))) (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))))
0.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

series878.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
434.0ms
(cbrt (* (* (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)) (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))) (/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))))
180.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
132.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
132.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

simplify762.0ms

Counts
71 → 65

prune1.0s

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 39.9b

regimes1.0s

Accuracy

0% (3.0b remaining)

Error of 43.3b against oracle of 40.3b and baseline of 43.3b

bsearch5.0ms

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.2s4874×body160valid
1.1s8087×body80nan
977.0ms16087×pre80true
549.0ms1759×body80valid
499.0ms1367×body320valid