Details

Time bar (total: 9.4s)

sample74.0ms

Algorithm
intervals
Results
20.0ms255×body80nan
14.0ms147×body160valid
11.0ms511×pre80true
5.0ms109×body80valid

simplify5.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.4b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(- (* b b) (* (* 4.0 a) c))
87.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
23.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series333.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
53.0ms
(- (* b b) (* (* 4.0 a) c))
115.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
89.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify43.0ms

Counts
82 → 82

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
24.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(- (* b b) (* (* 4.0 a) c))
93.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
66.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
49.0ms
(- (* b b) (* (* 4.0 a) c))
168.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
207.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify117.0ms

Counts
163 → 163

prune479.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2)))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (/ (- (pow b 6) (pow (* (* 4.0 a) c) 3)) (+ (* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2))) (* (* b b) (* b b)))))))
0.5b
(* (* b b) (* b b))
0.7b
(pow (* (* 4.0 a) c) 3)

rewrite781.0ms

Algorithm
rewrite-expression-head
Rules
130×pow1
47×add-sqr-sqrt
36×pow-prod-up
35×*-un-lft-identity
33×add-exp-log add-cbrt-cube
32×pow-prod-down
28×times-frac
22×pow-sqr
19×add-cube-cbrt
18×pow-plus
17×prod-exp cbrt-unprod
13×pow2
12×difference-of-squares
8×associate-/r* sqrt-prod distribute-lft-out--
4×distribute-rgt-neg-in associate-*r* add-log-exp
3×pow-unpow pow-pow pow-exp associate-/l* rem-cube-cbrt
2×flip3-+ associate-*r/ associate-*l* associate-/r/ *-commutative flip-+ associate-/l/
1×cbrt-undiv distribute-rgt-in cube-mult pow-to-exp unpow-prod-down flip3-- frac-2neg distribute-lft-in unpow3 cube-prod swap-sqr div-exp clear-num flip-- div-inv unswap-sqr sqr-pow
Counts
4 → 164
Calls
4 calls:
114.0ms
(* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2)))
603.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (/ (- (pow b 6) (pow (* (* 4.0 a) c) 3)) (+ (* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2))) (* (* b b) (* b b)))))))
39.0ms
(* (* b b) (* b b))
17.0ms
(pow (* (* 4.0 a) c) 3)

series511.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2)))
326.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (/ (- (pow b 6) (pow (* (* 4.0 a) c) 3)) (+ (* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2))) (* (* b b) (* b b)))))))
34.0ms
(* (* b b) (* b b))
65.0ms
(pow (* (* 4.0 a) c) 3)

simplify186.0ms

Counts
176 → 176

prune617.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* 4.0 a) (/ (- (- b) (sqrt (/ (- (pow b 6) (pow (* (* 4.0 a) c) 3)) (+ (* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2))) (* (* b b) (* b b)))))) c))
0.3b
(* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2)))
0.5b
(* (* b b) (* b b))
0.7b
(pow (* (* 4.0 a) c) 3)

rewrite791.0ms

Algorithm
rewrite-expression-head
Rules
130×pow1
82×times-frac
72×add-sqr-sqrt
54×*-un-lft-identity
43×add-exp-log add-cbrt-cube
36×pow-prod-up
32×pow-prod-down
30×add-cube-cbrt
28×associate-/r*
22×pow-sqr
19×prod-exp cbrt-unprod
18×pow-plus difference-of-squares
13×pow2
12×sqrt-prod distribute-lft-out--
6×cbrt-undiv distribute-rgt-neg-in div-exp
4×associate-*r* add-log-exp
3×pow-unpow pow-pow pow-exp div-inv rem-cube-cbrt
2×associate-*r/ associate-*l* *-commutative
1×distribute-rgt-in cube-mult pow-to-exp unpow-prod-down frac-2neg distribute-lft-in flip3-+ unpow3 cube-prod swap-sqr clear-num associate-/r/ flip-+ associate-/l* unswap-sqr sqr-pow
Counts
4 → 189
Calls
4 calls:
604.0ms
(/ (* 4.0 a) (/ (- (- b) (sqrt (/ (- (pow b 6) (pow (* (* 4.0 a) c) 3)) (+ (* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2))) (* (* b b) (* b b)))))) c))
118.0ms
(* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2)))
31.0ms
(* (* b b) (* b b))
28.0ms
(pow (* (* 4.0 a) c) 3)

series534.0ms

Counts
4 → 12
Calls
4 calls:
350.0ms
(/ (* 4.0 a) (/ (- (- b) (sqrt (/ (- (pow b 6) (pow (* (* 4.0 a) c) 3)) (+ (* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2))) (* (* b b) (* b b)))))) c))
88.0ms
(* (* (* 4.0 a) c) (+ (* (* 4.0 a) c) (pow b 2)))
34.0ms
(* (* b b) (* b b))
62.0ms
(pow (* (* 4.0 a) c) 3)

simplify140.0ms

Counts
201 → 201

prune672.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
829.0ms16593×pre80true
661.0ms4402×body160valid
552.0ms8593×body80nan
181.0ms3598×body80valid