Details

Time bar (total: 4.8s)

sample37.0ms

Algorithm
intervals
Results
14.0ms288×body80valid
5.0ms91×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03818
17918
213618
316118
417318
517718
617718

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* b b) (* (* 4.0 a) c))
1.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
25.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
3×diff-log
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 distribute-rgt-neg-in neg-log
Counts
4 → 60
Calls
4 calls:
7.0ms
(- (* b b) (* (* 4.0 a) c))
22.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 4.0 a) c))
71.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
61.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify119.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0227581
1878551
23814541
35002538

prune282.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.4b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* b b) (* (* 4.0 a) c))
4.0b
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
6.4b
(/ (* a c) b)
25.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
14×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt times-frac
7×associate-/l*
6×add-log-exp
5×pow1
4×cbrt-undiv div-exp associate-/r* distribute-lft-out--
3×flip3-- sqrt-prod flip--
2×distribute-rgt-neg-in frac-2neg sqrt-div prod-exp clear-num cbrt-unprod div-inv associate-/l/ difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log div-sub
Counts
4 → 78
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
50.0ms
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
9.0ms
(/ (* a c) b)
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* b b) (* (* 4.0 a) c))
56.0ms
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
17.0ms
(/ (* a c) b)
66.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify51.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0426687
12047606
25001602

prune356.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(* (* 4.0 a) c)
0.6b
(- (* b b) (* (* 4.0 a) c))
25.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 *-un-lft-identity add-log-exp
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- sqrt-div sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 diff-log associate-*l* neg-log *-commutative flip-+
Counts
4 → 60
Calls
4 calls:
20.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.0ms
(* (* 4.0 a) c)
7.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
18.0ms
(* (* 4.0 a) c)
41.0ms
(- (* b b) (* (* 4.0 a) c))
66.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0307469
11303428
25001417

prune281.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* b b) (* (* 4.0 a) c))
4.0b
(/ (- (- b) (- b (* 2.0 (/ a (/ b c))))) (* 2.0 a))
4.9b
(/ a (/ b c))
25.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
57×*-un-lft-identity
54×add-sqr-sqrt
49×add-cube-cbrt
14×add-exp-log associate-/r* add-cbrt-cube
9×associate-/l*
6×div-inv add-log-exp
5×pow1 cbrt-undiv div-exp
4×distribute-lft-out--
3×flip3-- sqrt-prod flip--
2×distribute-rgt-neg-in frac-2neg sqrt-div clear-num associate-/l/ difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log div-sub prod-exp associate-/r/ cbrt-unprod
Counts
4 → 127
Calls
4 calls:
7.0ms
(- (* b b) (* (* 4.0 a) c))
50.0ms
(/ (- (- b) (- b (* 2.0 (/ a (/ b c))))) (* 2.0 a))
8.0ms
(/ a (/ b c))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* b b) (* (* 4.0 a) c))
56.0ms
(/ (- (- b) (- b (* 2.0 (/ a (/ b c))))) (* 2.0 a))
18.0ms
(/ a (/ b c))
66.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify71.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06491054
12973967
25001967

prune559.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.0b

regimes337.0ms

Accuracy

92.1% (1.1b remaining)

Error of 7.8b against oracle of 6.6b and baseline of 20.8b

bsearch257.0ms

Steps
ItersRangePoint
6
2.905752377093217e+53
1.5130510757279288e+54
6.614815782594424e+53
9
-4.56915285633503e-304
4.542165024737633e-308
2.94751042335086e-310
9
-3.819893964099896e+158
-6.080633474453611e+152
-7.031354366652439e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06469
16669
26669

end0.0ms

sample918.0ms

Algorithm
intervals
Results
444.0ms8768×body80valid
142.0ms3016×body80nan