Details

Time bar (total: 19.3s)

sample145.0ms

Algorithm
intervals
Results
15.0ms191×body80valid
15.0ms29×body2560valid
8.0ms22×body1280valid
7.0ms77×body80nan
3.0ms12×body640valid
2.0ms4×body5120valid
2.0ms9×body320valid
1.0ms6×body160valid

simplify80.0ms

Counts
1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize36.0ms

Local error

Found 4 expressions with local error:

21.4b
(sqrt (- (* b_2 b_2) (* a c)))
1.4b
(- (* b_2 b_2) (* a c))
1.2b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 122
Calls
4 calls:
Slowest
90.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
63.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
20.0ms
(sqrt (- (* b_2 b_2) (* a c)))
15.0ms
(- (* b_2 b_2) (* a c))

series351.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
96.0ms
(sqrt (- (* b_2 b_2) (* a c)))
84.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
40.0ms
(- (* b_2 b_2) (* a c))

simplify1.3s

Counts
134 → 134

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

localize36.0ms

Local error

Found 4 expressions with local error:

21.4b
(sqrt (- (* b_2 b_2) (* a c)))
1.4b
(- (* b_2 b_2) (* a c))
1.2b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 122
Calls
4 calls:
Slowest
89.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
49.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
24.0ms
(sqrt (- (* b_2 b_2) (* a c)))
8.0ms
(- (* b_2 b_2) (* a c))

series382.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
100.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
90.0ms
(sqrt (- (* b_2 b_2) (* a c)))
52.0ms
(- (* b_2 b_2) (* a c))

simplify1.5s

Counts
134 → 134

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize42.0ms

Local error

Found 4 expressions with local error:

21.4b
(sqrt (- (* b_2 b_2) (* a c)))
1.4b
(- (* b_2 b_2) (* a c))
1.2b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×*-un-lft-identity
27×add-cube-cbrt
19×prod-diff
17×sqrt-prod
13×associate-*r* add-exp-log
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1 fma-neg
6×associate-*l*
5×flip3-- flip--
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u difference-of-squares
3×unswap-sqr
2×frac-times sub-neg sqrt-div diff-log div-exp associate-*l/ cbrt-unprod distribute-lft-out--
1×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 123
Calls
4 calls:
Slowest
119.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
54.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))
16.0ms
(- (* b_2 b_2) (* a c))

series340.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
87.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
69.0ms
(sqrt (- (* b_2 b_2) (* a c)))
43.0ms
(- (* b_2 b_2) (* a c))

simplify1.7s

Counts
135 → 135

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.7b

localize24.0ms

Local error

Found 4 expressions with local error:

21.4b
(sqrt (- (* b_2 b_2) (* a c)))
1.4b
(- (* b_2 b_2) (* a c))
1.2b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 122
Calls
4 calls:
Slowest
98.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
50.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
11.0ms
(- (* b_2 b_2) (* a c))
9.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
148.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
107.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
87.0ms
(sqrt (- (* b_2 b_2) (* a c)))
73.0ms
(- (* b_2 b_2) (* a c))

simplify1.5s

Counts
134 → 134

prune1.3s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.7b

regimes354.0ms

Accuracy

81.9% (4.9b remaining)

Error of 10.6b against oracle of 5.6b and baseline of 33.0b

bsearch177.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
919.0ms1114×body2560valid
848.0ms5847×body80valid
747.0ms2888×body80nan
674.0ms848×body1280valid
237.0ms415×body640valid
141.0ms124×body5120valid
88.0ms253×body320valid
29.0ms129×body160valid