Details

Time bar (total: 13.2s)

sample86.0ms

Algorithm
intervals
Results
18.0ms35×body2560valid
16.0ms188×body80valid
9.0ms22×body1280valid
7.0ms90×body80nan
5.0ms15×body640valid
3.0ms13×body320valid
2.0ms4×body5120valid
0.0ms2×body160valid

simplify87.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
1.0b
(- (* b b) (* (* 3.0 a) c))
1.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite562.0ms

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:
503.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
11.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
16.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
63.0ms
(- (* b b) (* (* 3.0 a) c))
127.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
140.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify735.0ms

Counts
82 → 82

prune335.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
1.0b
(- (* b b) (* (* 3.0 a) c))
1.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 *-un-lft-identity add-log-exp
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- sqrt-div sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 diff-log associate-*l* neg-log *-commutative flip-+
Counts
4 → 60
Calls
4 calls:
36.0ms
(* (* 3.0 a) c)
17.0ms
(- (* b b) (* (* 3.0 a) c))
54.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
20.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
69.0ms
(- (* b b) (* (* 3.0 a) c))
108.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
114.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify795.0ms

Counts
72 → 72

prune280.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* 3.0 a))
1.0b
(- (* b b) (* (* 3.0 a) c))
1.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
11×*-un-lft-identity
10×add-log-exp
9×add-cbrt-cube
8×pow1 add-sqr-sqrt
7×add-cube-cbrt
4×div-exp
3×times-frac prod-exp sqrt-prod associate-/l*
2×cbrt-undiv rec-exp flip3-- pow-flip sqrt-div 1-exp sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log pow-prod-down neg-log clear-num associate-/r* cbrt-unprod flip-+ div-inv inv-pow
Counts
4 → 70
Calls
4 calls:
17.0ms
(/ 1 (* 3.0 a))
23.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
17.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1 (* 3.0 a))
70.0ms
(- (* b b) (* (* 3.0 a) c))
119.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
103.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify651.0ms

Counts
82 → 82

prune295.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 3.0) (/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a))
1.0b
(- (* b b) (* (* 3.0 a) c))
1.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt *-un-lft-identity
31×times-frac
26×add-exp-log
21×add-cube-cbrt
19×associate-*r*
16×add-cbrt-cube
13×associate-*l*
10×add-log-exp
8×div-exp prod-exp distribute-lft-out
7×pow1
6×unswap-sqr
4×cbrt-undiv distribute-rgt-neg-in cbrt-unprod
3×sqrt-prod
2×rec-exp flip3-- sqrt-div 1-exp sum-log flip-- div-inv
1×+-commutative neg-sub0 frac-times associate-+l- sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log associate-*r/ pow-prod-down neg-log associate-*l/ *-commutative flip-+
Counts
4 → 104
Calls
4 calls:
134.0ms
(* (/ 1 3.0) (/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a))
9.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
10.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (/ 1 3.0) (/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a))
59.0ms
(- (* b b) (* (* 3.0 a) c))
117.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
98.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify1.1s

Counts
116 → 116

prune432.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.0b

regimes678.0ms

Accuracy

88.6% (3.2b remaining)

Error of 9.1b against oracle of 5.8b and baseline of 34.3b

bsearch213.0ms

Steps
ItersRangePoint
5
2.873313012992052e+35
7.83918174516471e+35
5.661392091169965e+35
9
1.3490170765451891e-142
7.93219316721043e-135
2.252938494289994e-138
9
-3.494733358578083e+156
-1.1278306941613648e+148
-6.037732156581497e+149

simplify1.8s

end0.0ms

sample3.0s

Algorithm
intervals
Results
585.0ms1069×body2560valid
512.0ms911×body1280valid
433.0ms5842×body80valid
425.0ms109×body5120valid
324.0ms2967×body80nan
127.0ms481×body640valid
74.0ms226×body320valid
15.0ms115×body160valid