Details

Time bar (total: 23.6s)

sample145.0ms

Algorithm
intervals
Results
39.0ms128×body320valid
28.0ms254×body80nan
27.0ms510×pre80true
18.0ms90×body160valid
7.0ms17×body640valid
2.0ms21×body80valid

simplify200.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.8b

localize41.0ms

Local error

Found 4 expressions with local error:

28.1b
(- (sqrt (fma c (* -3 a) (* b b))) b)
0.2b
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
0.0b
(fma c (* -3 a) (* b b))
0.0b
(sqrt (fma c (* -3 a) (* b b)))

rewrite62.0ms

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
42.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
15.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
3.0ms
(sqrt (fma c (* -3 a) (* b b)))
0.0ms
(fma c (* -3 a) (* b b))

series418.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
115.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
105.0ms
(sqrt (fma c (* -3 a) (* b b)))
78.0ms
(fma c (* -3 a) (* b b))

simplify1.4s

Counts
114 → 114

prune1.4s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 51.4b

localize47.0ms

Local error

Found 4 expressions with local error:

54.0b
(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))
0.0b
(fma c (* -3 a) (* b b))
0.0b
(fma c (* -3 a) (* b b))

rewrite8.0ms

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
6.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
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))
0.0ms
(fma c (* -3 a) (* b b))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
565.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
419.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
73.0ms
(fma c (* -3 a) (* b b))
66.0ms
(fma c (* -3 a) (* b b))

simplify1.3s

Counts
69 → 69

prune1.0s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 51.4b

localize78.0ms

Local error

Found 4 expressions with local error:

54.0b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
54.0b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
54.0b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.5b
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×times-frac fma-udef
1×cbrt-div pow1/3 div-inv
Counts
4 → 52
Calls
4 calls:
Slowest
4.0ms
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b 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 (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

series1.8s

Counts
4 → 12
Calls
4 calls:
Slowest
582.0ms
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)))
438.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
428.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
371.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

simplify1.4s

Counts
64 → 64

prune1.1s

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 51.3b

localize71.0ms

Local error

Found 4 expressions with local error:

54.0b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
54.0b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
54.0b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.5b
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) a))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×fma-udef
1×cbrt-div pow1/3 div-inv
Counts
4 → 58
Calls
4 calls:
Slowest
2.0ms
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) a))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b 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 (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
603.0ms
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) a))
468.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
464.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
399.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

simplify1.5s

Counts
70 → 70

prune1.3s

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 51.3b

regimes1.2s

Accuracy

0% (2.6b remaining)

Error of 51.9b against oracle of 49.3b and baseline of 51.9b

bsearch3.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
1.8s3568×body320valid
1.4s16028×pre80true
1.1s8028×body80nan
781.0ms2971×body160valid
276.0ms549×body640valid
159.0ms912×body80valid