Details

Time bar (total: 6.0s)

sample60.0ms

Algorithm
intervals
Results
13.0ms117×body320valid
10.0ms513×pre80true
9.0ms257×body80nan
6.0ms82×body160valid
2.0ms12×body640valid
2.0ms45×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1469
2869
31139
41219
51219

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 49.9b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.1b
(- (* b b) (* (* 4.0 a) c))
24.4b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×add-cube-cbrt fma-def add-log-exp
9×add-exp-log add-cbrt-cube
6×distribute-rgt-neg-in distribute-lft-out
5×pow1 times-frac associate-/l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-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 neg-mul-1 sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 90
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
4.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
114.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
46.0ms
(- (* b b) (* (* 4.0 a) c))
86.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0438854
11702750
25001735

prune258.0ms

Filtered
102 candidates to 82 candidates (80.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New984102
Fresh000
Picked101
Done000
Total994103

Merged error: 0.1b

Counts
103 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.2b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
123×add-sqr-sqrt *-un-lft-identity
90×times-frac
79×add-cube-cbrt
61×prod-diff
41×sqrt-prod
32×distribute-rgt-neg-in
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
18×add-exp-log add-cbrt-cube
11×fma-neg
10×add-log-exp
8×associate-/r*
7×cbrt-undiv neg-mul-1 div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 expm1-log1p-u log1p-expm1-u 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 → 231
Calls
4 calls:
13.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series488.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
47.0ms
(- (* b b) (* (* 4.0 a) c))
160.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
196.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify156.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
08325100
139673830
250013828

prune589.0ms

Filtered
243 candidates to 137 candidates (56.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2367243
Fresh213
Picked101
Done000
Total2398247

Merged error: 0b

Counts
247 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
181×prod-diff
132×add-sqr-sqrt *-un-lft-identity
124×add-cube-cbrt
92×sqrt-prod
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
19×neg-mul-1
18×add-exp-log add-cbrt-cube
11×fma-neg
10×add-log-exp
9×pow1
7×associate-*r*
6×prod-exp cbrt-unprod
4×expm1-log1p-u sub-neg flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×cbrt-undiv times-frac diff-log div-exp pow-prod-down associate-/l*
2×associate-/r/ associate-/l/
1×associate--l- neg-sub0 frac-2neg flip3-+ associate-*l* neg-log clear-num associate-/r* *-commutative flip-+ div-inv
Counts
4 → 285
Calls
4 calls:
22.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
10.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
85.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
47.0ms
(- (* b b) (* (* 4.0 a) c))
163.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
297 → 297
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
010108634
150015618

prune490.0ms

Filtered
297 candidates to 108 candidates (36.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2943297
Fresh437
Picked101
Done000
Total2996305

Merged error: 0b

Counts
305 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(fma (- (sqrt b)) (sqrt b) (- (* (sqrt (- (* b b) (* (* 4.0 a) c))) 1)))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (+ (fma (- (sqrt b)) (sqrt b) (- (* (sqrt (- (* b b) (* (* 4.0 a) c))) 1))) (* (sqrt (- (* b b) (* (* 4.0 a) c))) (+ (- 1) 1)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv times-frac div-exp prod-exp cbrt-unprod associate-/l*
2×sub-neg flip3-- flip3-+ fma-neg diff-log associate-*r/ prod-diff associate-/r/ flip-- flip-+ associate-/l/
1×frac-2neg clear-num associate-/r* fma-udef div-inv
Counts
4 → 71
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
4.0ms
(- (* b b) (* (* 4.0 a) c))
1.0ms
(fma (- (sqrt b)) (sqrt b) (- (* (sqrt (- (* b b) (* (* 4.0 a) c))) 1)))
9.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (+ (fma (- (sqrt b)) (sqrt b) (- (* (sqrt (- (* b b) (* (* 4.0 a) c))) 1))) (* (sqrt (- (* b b) (* (* 4.0 a) c))) (+ (- 1) 1)))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* b b) (* (* 4.0 a) c))
47.0ms
(- (* b b) (* (* 4.0 a) c))
186.0ms
(fma (- (sqrt b)) (sqrt b) (- (* (sqrt (- (* b b) (* (* 4.0 a) c))) 1)))
247.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (+ (fma (- (sqrt b)) (sqrt b) (- (* (sqrt (- (* b b) (* (* 4.0 a) c))) 1))) (* (sqrt (- (* b b) (* (* 4.0 a) c))) (+ (- 1) 1)))))

simplify140.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
05381429
136901142
250011132

prune369.0ms

Filtered
83 candidates to 65 candidates (78.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh235
Picked011
Done000
Total84589

Merged error: 0b

Counts
89 → 5

regimes95.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825
14725
24725

end0.0ms

sample1.7s

Algorithm
intervals
Results
396.0ms3612×body320valid
321.0ms16024×pre80true
276.0ms8024×body80nan
207.0ms2923×body160valid
71.0ms493×body640valid
36.0ms972×body80valid