Details

Time bar (total: 17.7s)

sample273.0ms

Algorithm
intervals
Results
32.0ms37×body2560valid
27.0ms187×body80valid
19.0ms24×body1280valid
15.0ms86×body80nan
11.0ms18×body640valid
3.0ms7×body320valid
1.0ms4×body160valid

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
634
534
432
330
223
115
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
0.8b
(- (* b_2 b_2) (* a c))
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite211.0ms

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:
94.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
13.0ms
(- (* b_2 b_2) (* a c))
73.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
26.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
48.0ms
(- (* b_2 b_2) (* a c))
99.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
130.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify2.0s

Counts
134 → 134
Iterations
IterNodes
33530
21175
1462
0199

prune641.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
0.8b
(- (* b_2 b_2) (* a c))
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite206.0ms

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:
118.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
14.0ms
(- (* b_2 b_2) (* a c))
55.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
17.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series352.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
48.0ms
(- (* b_2 b_2) (* a c))
101.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
74.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify3.4s

Counts
135 → 135
Iterations
IterNodes
34054
21372
1527
0219

prune499.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
0.8b
(- (* b_2 b_2) (* a c))
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite179.0ms

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:
97.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
13.0ms
(- (* b_2 b_2) (* a c))
56.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
10.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
58.0ms
(- (* b_2 b_2) (* a c))
89.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
72.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.9s

Counts
134 → 134
Iterations
IterNodes
33530
21175
1462
0199

prune487.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
23.5b
(sqrt (- (* b_2 b_2) (* a c)))
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
36×prod-diff
34×add-cube-cbrt
32×sqrt-prod
12×fma-neg
8×add-log-exp
6×pow1
4×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log distribute-lft-out--
Counts
4 → 120
Calls
4 calls:
75.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
56.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
10.0ms
(sqrt (- (* b_2 b_2) (* a c)))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
118.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
78.0ms
(sqrt (- (* b_2 b_2) (* a c)))
80.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify959.0ms

Counts
132 → 132
Iterations
IterNodes
32134
2669
1257
0112

prune554.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 6.3b

regimes460.0ms

Accuracy

84.6% (4.2b remaining)

Error of 9.8b against oracle of 5.7b and baseline of 32.8b

bsearch191.0ms

Steps
ItersRangePoint
8
5.833527798943191e-77
3.6732813120885656e-72
3.1295384133612364e-73
9
-2.2464591800446616e+91
-3.153507839293123e+86
-1.3599228730895225e+90

simplify7.0ms

Iterations
IterNodes
226
126
023

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.3s1027×body2560valid
953.0ms5892×body80valid
536.0ms882×body1280valid
418.0ms2956×body80nan
208.0ms463×body640valid
81.0ms235×body320valid
78.0ms98×body5120valid
23.0ms105×body160valid