Details

Time bar (total: 4.3s)

sample35.0ms

Algorithm
intervals
Results
14.0ms274×body80valid
5.0ms110×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize116.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* b b) (* (* 4.0 a) c))
1.4b
(- (* b b) (* (* 4.0 a) c))
25.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 54
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
3.0ms
(- (* b b) (* (* 4.0 a) c))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 4.0 a) c))
48.0ms
(- (* b b) (* (* 4.0 a) c))
66.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify84.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0149476
1576446
22486444
35001440

prune258.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.3b

localize119.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* b b) (* (* 4.0 a) c))
4.7b
(/ (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (* 2.0 a))
6.0b
(/ (* a c) b)
25.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×add-cube-cbrt
8×times-frac
6×associate-/l* add-log-exp
5×pow1
4×cbrt-undiv div-exp associate-/r* distribute-lft-out
3×sqrt-prod
2×flip3-- distribute-rgt-neg-in frac-2neg sqrt-div div-sub prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l/
1×neg-sub0 associate-+l- associate-+r- sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log flip-+
Counts
4 → 77
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (* 2.0 a))
4.0ms
(/ (* a c) b)
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 4.0 a) c))
60.0ms
(/ (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (* 2.0 a))
18.0ms
(/ (* a c) b)
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0424665
12053578
25001573

prune331.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.2b

localize114.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* 2.0 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
1.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.4b
(- (* b b) (* (* 4.0 a) c))
25.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite34.0ms

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-/r*
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-/r/
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 neg-log prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
11.0ms
(/ (* 2.0 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
8.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(- (* b b) (* (* 4.0 a) c))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series365.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ (* 2.0 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
42.0ms
(- (* b b) (* (* 4.0 a) c))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify44.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0362863
11529768
25001759

prune303.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.7b

localize118.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* b b) (* (* 4.0 a) c))
4.7b
(* (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (/ 1 (* 2.0 a)))
6.0b
(/ (* a c) b)
25.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
18×add-cbrt-cube
14×*-un-lft-identity
13×add-sqr-sqrt
11×prod-exp
10×add-cube-cbrt
7×pow1 associate-*r*
6×times-frac div-exp add-log-exp
5×associate-*l* cbrt-unprod
4×cbrt-undiv
3×associate-/r* sqrt-prod
2×frac-times rec-exp flip3-- flip3-+ sqrt-div 1-exp associate-*l/ flip-- flip-+ div-inv distribute-lft-out
1×sub-neg rem-sqrt-square distribute-rgt-neg-in frac-2neg sqrt-pow1 pow1/2 diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative associate-/l* unswap-sqr
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(* (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (/ 1 (* 2.0 a)))
4.0ms
(/ (* a c) b)
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 4.0 a) c))
59.0ms
(* (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (/ 1 (* 2.0 a)))
18.0ms
(/ (* a c) b)
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify63.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0510799
12672682
25001677

prune328.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.7b

regimes254.0ms

Accuracy

91.4% (1.3b remaining)

Error of 7.8b against oracle of 6.5b and baseline of 21.3b

bsearch105.0ms

Steps
ItersRangePoint
8
2.6306897601356734e+86
2.3892442757770582e+89
4.4648981905586605e+88
3
-4.7697557190304994e+82
-3.487383451572869e+82
-4.369014385449991e+82

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05549
15549

end0.0ms

sample842.0ms

Algorithm
intervals
Results
454.0ms8754×body80valid
136.0ms2928×body80nan