Details

Time bar (total: 3.7s)

sample44.0ms

Algorithm
intervals
Results
9.0ms40×body2560valid
7.0ms186×body80valid
5.0ms31×body1280valid
3.0ms96×body80nan
2.0ms8×body5120valid
1.0ms9×body640valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0289
1649
21149
31359
41449
51489
61489

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.8b
(- (* b b) (* 4.0 (* a c)))
0.9b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
28.8b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite111.0ms

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:
65.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
9.0ms
(- (* b b) (* 4.0 (* a c)))
26.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
46.0ms
(- (* b b) (* 4.0 (* a c)))
67.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
67.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0404890
11481801
25001796

prune242.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.4b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune19.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
0.8b
(- (* b b) (* 4.0 (* a c)))
0.9b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
28.8b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
19×add-sqr-sqrt
16×*-un-lft-identity
13×add-cbrt-cube
10×prod-exp add-log-exp
8×add-cube-cbrt
7×pow1 associate-*r* associate-*l*
5×flip3-- sqrt-prod flip--
4×div-exp cbrt-unprod distribute-lft-out-- difference-of-squares
3×times-frac diff-log
2×cbrt-undiv frac-times sub-neg rec-exp distribute-rgt-neg-in sqrt-div 1-exp associate-*l/
1×associate--l- neg-sub0 rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down neg-log un-div-inv *-commutative div-inv unswap-sqr
Counts
4 → 85
Calls
4 calls:
103.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
11.0ms
(- (* b b) (* 4.0 (* a c)))
22.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
39.0ms
(- (* b b) (* 4.0 (* a c)))
72.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
66.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0469991
12048866
25002857

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b b) (* 4.0 (* a c)))
1.4b
(+ (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
16.3b
(/ (+ 0 (* 1 (* 4.0 (* a c)))) (* (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a)))
28.8b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log *-un-lft-identity add-cbrt-cube
10×add-log-exp
8×add-sqr-sqrt
7×add-cube-cbrt
5×pow1
4×times-frac distribute-lft-out associate-/l*
3×cbrt-undiv flip3-+ div-exp prod-exp sqrt-prod cbrt-unprod flip-+
2×flip3-- sqrt-div associate-*l/ sum-log associate-/r/ flip-- associate-/l/
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in frac-2neg sqrt-pow1 pow1/2 diff-log neg-log clear-num associate-/r* div-inv
Counts
4 → 71
Calls
4 calls:
8.0ms
(- (* b b) (* 4.0 (* a c)))
20.0ms
(+ (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
56.0ms
(/ (+ 0 (* 1 (* 4.0 (* a c)))) (* (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a)))
12.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* 4.0 (* a c)))
69.0ms
(+ (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
152.0ms
(/ (+ 0 (* 1 (* 4.0 (* a c)))) (* (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a)))
64.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify101.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
0502969
13079812
25002794

prune225.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.3b

regimes220.0ms

Accuracy

83.8% (4.3b remaining)

Error of 9.9b against oracle of 5.6b and baseline of 32.2b

bsearch120.0ms

Steps
ItersRangePoint
10
1.0940858654514709e+88
1.774287867247786e+103
6.8235272312074634e+100
9
-1.1345718484749e-82
-1.1127264026331332e-88
-1.3696943711263392e-83

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03917
14117
24117

end0.0ms

sample1.2s

Algorithm
intervals
Results
238.0ms1050×body2560valid
215.0ms5880×body80valid
165.0ms921×body1280valid
94.0ms2795×body80nan
61.0ms426×body640valid
30.0ms111×body5120valid
24.0ms231×body320valid
7.0ms103×body160valid