Details

Time bar (total: 14.7s)

sample71.0ms

Algorithm
intervals
Results
13.0ms33×body2560valid
12.0ms182×body80valid
11.0ms33×body1280valid
6.0ms22×body640valid
6.0ms98×body80nan
2.0ms9×body320valid
1.0ms5×body160valid
0.0ms1×body5120valid

simplify133.0ms

Counts
1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
1.0b
(- (* b b) (* 4.0 (* a c)))
1.2b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
21.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
7×add-cube-cbrt times-frac associate-/l*
6×sqrt-prod distribute-lft-out-- difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-rgt-neg-in diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
102.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
19.0ms
(- (* b b) (* 4.0 (* a c)))
52.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series457.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
66.0ms
(- (* b b) (* 4.0 (* a c)))
132.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
117.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify740.0ms

Counts
89 → 89

prune427.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) a)
1.0b
(- (* b b) (* 4.0 (* a c)))
1.2b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
21.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
128×add-sqr-sqrt
127×*-un-lft-identity
75×add-cube-cbrt
26×distribute-lft-out-- difference-of-squares
25×associate-/l*
16×sqrt-prod
13×distribute-rgt-neg-in
10×add-log-exp
9×add-exp-log add-cbrt-cube
5×pow1 div-inv
3×cbrt-undiv flip3-- diff-log div-exp associate-/r* flip--
2×sub-neg sqrt-div div-sub
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 neg-log clear-num associate-/l/
Counts
4 → 164
Calls
4 calls:
110.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) a)
9.0ms
(- (* b b) (* 4.0 (* a c)))
25.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) a)
65.0ms
(- (* b b) (* 4.0 (* a c)))
114.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
101.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify1.1s

Counts
176 → 176

prune694.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ (/ 1 2.0) a))
1.0b
(- (* b b) (* 4.0 (* a c)))
1.2b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
21.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
71×times-frac
62×add-sqr-sqrt
50×*-un-lft-identity
43×associate-*r*
41×add-cube-cbrt
19×add-exp-log
13×add-cbrt-cube
10×add-log-exp
7×pow1 associate-*l*
6×div-exp
5×flip3-- prod-exp sqrt-prod flip--
4×div-inv distribute-lft-out-- difference-of-squares unswap-sqr
3×cbrt-undiv diff-log cbrt-unprod
2×frac-times sub-neg distribute-rgt-neg-in sqrt-div associate-*l/
1×associate--l- neg-sub0 rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-*r/ pow-prod-down neg-log *-commutative
Counts
4 → 121
Calls
4 calls:
157.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ (/ 1 2.0) a))
16.0ms
(- (* b b) (* 4.0 (* a c)))
53.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
17.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ (/ 1 2.0) a))
73.0ms
(- (* b b) (* 4.0 (* a c)))
147.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
121.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify1.4s

Counts
133 → 133

prune641.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* 4.0 (* a c)))
14.1b
(/ (+ (- (pow b 2) (pow b 2)) (* 4.0 (* a c))) (* a 2.0))
16.6b
(- (pow b 2) (pow b 2))
21.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
22×unpow-prod-down
19×*-un-lft-identity
16×difference-of-squares
15×add-cube-cbrt
12×unpow2 sqr-pow
10×distribute-rgt-out--
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- add-log-exp
5×pow1
3×flip3-- times-frac sqrt-prod flip-- associate-/l*
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×associate-+l- rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 +-inverses div-sub prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 98
Calls
4 calls:
12.0ms
(- (* b b) (* 4.0 (* a c)))
302.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 4.0 (* a c))) (* a 2.0))
30.0ms
(- (pow b 2) (pow b 2))
19.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* b b) (* 4.0 (* a c)))
23.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 4.0 (* a c))) (* a 2.0))
2.0ms
(- (pow b 2) (pow b 2))
101.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify2.1s

Counts
110 → 110

prune392.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.9b

regimes368.0ms

Accuracy

95.4% (1.1b remaining)

Error of 6.5b against oracle of 5.4b and baseline of 29.1b

bsearch267.0ms

Steps
ItersRangePoint
10
2.1111705398262576e+94
5.238272520421586e+105
5.179201385701061e+98
6
1.0174272123575757e-206
9.098677389463498e-206
3.622962172940873e-206
8
-1.3549447721302977e+118
-2.218977696437643e+113
-9.155327002621879e+117

simplify316.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.4s1089×body2560valid
479.0ms5770×body80valid
389.0ms879×body1280valid
276.0ms2870×body80nan
169.0ms480×body640valid
59.0ms118×body5120valid
57.0ms107×body160valid
47.0ms241×body320valid