Details

Time bar (total: 21.5s)

sample204.0ms

Algorithm
intervals
Results
50.0ms316×body80nan
49.0ms162×body160valid
41.0ms572×pre80true
19.0ms42×body320valid
8.0ms52×body80valid

simplify209.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize40.0ms

Local error

Found 4 expressions with local error:

40.4b
(- (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)))

rewrite57.0ms

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))
15.0ms
(- (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))

series391.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
125.0ms
(sqrt (fma c (* -3 a) (* b b)))
105.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
93.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
67.0ms
(fma c (* -3 a) (* b b))

simplify1.4s

Counts
114 → 114

prune1.5s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 40.8b

localize43.0ms

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
7.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
1.0ms
(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
531.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
420.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
94.0ms
(fma c (* -3 a) (* b b))
90.0ms
(fma c (* -3 a) (* b b))

simplify1.5s

Counts
69 → 69

prune1.2s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 40.8b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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
29.0ms
(* (* 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))

series508.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
238.0ms
(/ (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
176.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
65.0ms
(fma c (* -3 a) (* b b))
30.0ms
(* (* a -3) c)

simplify1.7s

Counts
79 → 79

prune1.3s

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 40.8b

localize64.0ms

Local error

Found 4 expressions with local error:

43.8b
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.4b
(/ 1/3 a)
0.3b
(* (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (/ 1/3 a))
0.3b
(* (* a -3) c)

rewrite51.0ms

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
26.0ms
(* (* a -3) c)
16.0ms
(* (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (/ 1/3 a))
7.0ms
(/ 1/3 a)
1.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

series376.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
197.0ms
(* (fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (/ 1/3 a))
135.0ms
(fma (sqrt (sqrt (fma b b (* (* a -3) c)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
22.0ms
(* (* a -3) c)
21.0ms
(/ 1/3 a)

simplify1.6s

Counts
109 → 109

prune1.7s

Pruning

43 alts after pruning (43 fresh and 0 done)

Merged error: 40.7b

regimes918.0ms

Accuracy

0% (3.0b remaining)

Error of 43.4b against oracle of 40.4b and baseline of 43.4b

bsearch7.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.2s4837×body160valid
1.1s8206×body80nan
1.1s16206×pre80true
633.0ms1368×body320valid
294.0ms1795×body80valid