Details

Time bar (total: 20.6s)

sample132.0ms

Algorithm
intervals
Results
83.0ms279×body80valid
20.0ms86×body80nan

simplify187.0ms

Counts
1 → 1
Iterations
IterNodes
8152
7152
6151
5144
4132
3101
262
135
020

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.4b

localize128.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.7b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
24.6b
(sqrt (- (* b b) (* (* 4 a) c)))
24.6b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×associate--l- +-commutative sub-neg flip3-+ associate-+l- flip-+
Counts
4 → 67
Calls
4 calls:
27.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
14.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
129.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
99.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
117.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify923.0ms

Counts
79 → 79
Iterations
IterNodes
32437
2760
1248
0102

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize152.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.7b
(/ (* (- (* (/ a b) c) b) 2) (* 2 a))
4.3b
(* (/ a b) c)
24.6b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cbrt-cube add-exp-log
17×*-un-lft-identity
13×associate-*l* add-cube-cbrt
11×times-frac
8×add-log-exp
7×pow1
6×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×sqrt-prod insert-posit16
3×flip3-- associate-*r* associate-*l/ flip--
2×sqrt-div diff-log div-inv distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square clear-num associate-/r* sub-neg distribute-rgt-neg-in frac-2neg sqrt-pow1 pow1/2 pow-prod-down neg-log *-commutative associate-/l*
Counts
4 → 92
Calls
4 calls:
30.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
48.0ms
(/ (* (- (* (/ a b) c) b) 2) (* 2 a))
10.0ms
(* (/ a b) c)
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
54.0ms
(/ (* (- (* (/ a b) c) b) 2) (* 2 a))
26.0ms
(* (/ a b) c)
102.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.4s

Counts
104 → 104
Iterations
IterNodes
22251
1531
0202

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize180.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 2 c) (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))))
0.6b
(- (* b b) (* (* 4 a) c))
1.1b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
24.6b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
10×add-log-exp
9×add-cbrt-cube add-exp-log
7×associate-/r* times-frac add-cube-cbrt
6×sqrt-prod distribute-lft-out-- difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-rgt-neg-in diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/r/
1×associate--l- neg-sub0 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 neg-log prod-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 80
Calls
4 calls:
66.0ms
(/ (* 2 c) (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))))
14.0ms
(- (* b b) (* (* 4 a) c))
20.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
8.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(/ (* 2 c) (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))))
82.0ms
(- (* b b) (* (* 4 a) c))
119.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
125.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.4s

Counts
92 → 92
Iterations
IterNodes
34239
21193
1377
0152

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize174.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2 (/ (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))) c))
0.6b
(- (* b b) (* (* 4 a) c))
1.1b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
24.6b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite76.0ms

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-/r*
16×sqrt-prod
13×distribute-rgt-neg-in
10×add-log-exp
9×add-cbrt-cube add-exp-log
5×pow1 div-inv
4×insert-posit16
3×cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l*
2×sub-neg sqrt-div
1×associate--l- neg-sub0 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 neg-log associate-/r/
Counts
4 → 167
Calls
4 calls:
26.0ms
(/ 2 (/ (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))) c))
12.0ms
(- (* b b) (* (* 4 a) c))
20.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(/ 2 (/ (- (- b) (sqrt (- (* b b) (* (* 4 a) c)))) c))
66.0ms
(- (* b b) (* (* 4 a) c))
121.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
128.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.5s

Counts
179 → 179
Iterations
IterNodes
22253
1705
0280

prune3.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.7b

regimes458.0ms

Accuracy

93.9% (1.0b remaining)

Error of 6.5b against oracle of 5.5b and baseline of 21.9b

bsearch266.0ms

Steps
ItersRangePoint
8
6.45623811977989e+97
1.5556153764929518e+101
1.4995341093291762e+100
7
-1.8217288728729631e+111
-6.606823090402082e+109
-1.0027271082217074e+110

simplify10.0ms

Iterations
IterNodes
251
151
042

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.8s8764×body80valid
603.0ms2976×body80nan