Details

Time bar (total: 24.9s)

sample198.0ms

Algorithm
intervals
Results
65.0ms302×body80nan
37.0ms558×pre80true
35.0ms136×body160valid
24.0ms63×body320valid
7.0ms57×body80valid

simplify164.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize19.0ms

Local error

Found 4 expressions with local error:

38.0b
(- (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)))

rewrite32.0ms

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
18.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
11.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
1.0ms
(sqrt (fma c (* -3 a) (* b b)))
1.0ms
(fma c (* -3 a) (* b b))

series405.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
112.0ms
(sqrt (fma c (* -3 a) (* b b)))
103.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
75.0ms
(fma c (* -3 a) (* b b))

simplify1.6s

Counts
114 → 114

prune1.5s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 41.0b

localize44.0ms

Local error

Found 4 expressions with local error:

43.8b
(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))

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))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
611.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
375.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
91.0ms
(fma c (* -3 a) (* b b))
88.0ms
(fma c (* -3 a) (* b b))

simplify1.5s

Counts
69 → 69

prune1.2s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 41.0b

localize66.0ms

Local error

Found 4 expressions with local error:

43.8b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
0.3b
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (* 3 a))
0.2b
(* (* a -3) c)
0.1b
(fma c (* -3 a) (* b b))

rewrite28.0ms

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
19.0ms
(* (* a -3) c)
6.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- 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 b b (* (* a -3) c)))) (- b))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
582.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (* 3 a))
459.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
81.0ms
(fma c (* -3 a) (* b b))
28.0ms
(* (* a -3) c)

simplify2.5s

Counts
79 → 79

prune1.4s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 41.0b

localize57.0ms

Local error

Found 4 expressions with local error:

43.8b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
0.3b
(/ 1/3 a)
0.3b
(* (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (/ 1/3 a))
0.2b
(* (* a -3) c)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
16×add-cbrt-cube associate-*r* add-exp-log
11×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×cbrt-undiv div-exp *-commutative div-inv unswap-sqr
1×clear-num frac-2neg associate-*r/ fma-udef
Counts
4 → 97
Calls
4 calls:
Slowest
34.0ms
(* (* a -3) c)
13.0ms
(* (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (/ 1/3 a))
4.0ms
(/ 1/3 a)
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
595.0ms
(* (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b)) (/ 1/3 a))
450.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma b b (* (* a -3) c)))) (- b))
22.0ms
(* (* a -3) c)
21.0ms
(/ 1/3 a)

simplify2.6s

Counts
109 → 109

prune2.0s

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 40.9b

regimes1.0s

Accuracy

0% (3.0b remaining)

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

bsearch8.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.8s4789×body160valid
974.0ms7996×body80nan
971.0ms15996×pre80true
623.0ms1419×body320valid
303.0ms1792×body80valid