Details

Time bar (total: 5.8s)

sample69.0ms

Algorithm
intervals
Results
15.0ms529×pre80true
13.0ms141×body160valid
13.0ms273×body80nan
10.0ms115×body80valid

simplify11.0ms

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: 28.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite31.0ms

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)))
4.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
9.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series310.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
49.0ms
(- (* b b) (* (* 4.0 a) c))
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0438854
11702750
25002735

prune247.0ms

Filtered
102 candidates to 82 candidates (80.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New966102
Fresh000
Picked101
Done000
Total976103

Merged error: 0.4b

Counts
103 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite54.0ms

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:
10.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
17.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
13.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
48.0ms
(- (* b b) (* (* 4.0 a) c))
145.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
187.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify158.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
08325099
139673830
250013828

prune550.0ms

Filtered
243 candidates to 137 candidates (56.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New23310243
Fresh505
Picked101
Done000
Total23910249

Merged error: 0b

Counts
249 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.4b
(/ (* 4.0 (* a c)) (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
181×prod-diff
133×add-sqr-sqrt
131×*-un-lft-identity
123×add-cube-cbrt
92×sqrt-prod
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
27×add-exp-log add-cbrt-cube
19×neg-mul-1
11×fma-neg
10×prod-exp cbrt-unprod add-log-exp
7×associate-*r*
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u sub-neg flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×diff-log associate-*l*
2×associate-/r/
1×associate--l- neg-sub0 frac-2neg times-frac pow-prod-down neg-log clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 285
Calls
4 calls:
10.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
16.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
14.0ms
(/ (* 4.0 (* a c)) (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
107.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
48.0ms
(- (* b b) (* (* 4.0 a) c))
149.0ms
(/ (* 4.0 (* a c)) (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify167.0ms

Algorithm
egg-herbie
Counts
297 → 297
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
07978337
143945185
250015161

prune406.0ms

Filtered
297 candidates to 105 candidates (35.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2934297
Fresh639
Picked101
Done000
Total3007307

Merged error: 0b

Counts
307 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
0.3b
(/ 4.0 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c))
0.3b
(- (* b b) (* (* 4.0 a) c))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt *-un-lft-identity
63×add-cube-cbrt
61×prod-diff
36×times-frac
31×sqrt-prod
23×add-exp-log
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
18×add-cbrt-cube
11×fma-neg
10×div-exp associate-/r* add-log-exp
7×cbrt-undiv neg-mul-1
6×div-inv
4×pow1 expm1-log1p-u prod-exp log1p-expm1-u associate-/l*
3×flip3-- diff-log flip--
2×sub-neg frac-2neg 1-exp associate-*r/ clear-num cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 neg-log associate-/r/
Counts
4 → 183
Calls
4 calls:
11.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0ms
(/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
12.0ms
(/ 4.0 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c))
4.0ms
(- (* b b) (* (* 4.0 a) c))

series343.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
90.0ms
(/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
129.0ms
(/ 4.0 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c))
45.0ms
(- (* b b) (* (* 4.0 a) c))

simplify102.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07703784
130102571
250012529

prune370.0ms

Filtered
195 candidates to 110 candidates (56.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1932195
Fresh246
Picked011
Done000
Total1957202

Merged error: 0b

Counts
202 → 7

regimes98.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311
12311

end0.0ms

sample1.8s

Algorithm
intervals
Results
455.0ms16584×pre80true
405.0ms4451×body160valid
394.0ms8584×body80nan
171.0ms3549×body80valid