Details

Time bar (total: 5.1s)

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
03918
18018
214318
317718
418918
519318
619318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize84.0ms

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)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
61×prod-diff
53×add-sqr-sqrt
51×*-un-lft-identity
47×add-cube-cbrt
37×sqrt-prod
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
7×neg-mul-1
6×pow1
4×add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u
3×diff-log
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 neg-log
Counts
4 → 140
Calls
4 calls:
9.0ms
(- (* b b) (* (* 4.0 a) c))
29.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* b b) (* (* 4.0 a) c))
70.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
65.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
61.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify65.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04062988
114311956
250021869

prune394.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.4b

localize89.0ms

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)))

rewrite112.0ms

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 expm1-log1p-u div-exp associate-/r* log1p-expm1-u 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 fma-neg diff-log div-sub prod-diff
Counts
4 → 88
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
82.0ms
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
9.0ms
(/ (* a c) b)
10.0ms
(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 c) b)))) (* 2.0 a))
17.0ms
(/ (* a c) b)
65.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0454743
12159659
25002652

prune388.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.0b

localize86.0ms

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)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×pow1 add-sqr-sqrt fma-def add-log-exp
9×add-exp-log add-cube-cbrt add-cbrt-cube
4×expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u
3×distribute-lft-neg-in 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- neg-mul-1 sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 fma-neg diff-log associate-*l* prod-diff neg-log *-commutative flip-+
Counts
4 → 80
Calls
4 calls:
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
20.0ms
(* (* 4.0 a) c)
8.0ms
(- (* b b) (* (* 4.0 a) c))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms
(* (* 4.0 a) c)
39.0ms
(- (* b b) (* (* 4.0 a) c))
64.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0337530
11440479
25002467

prune342.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.0b

localize89.0ms

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)))

rewrite233.0ms

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×expm1-log1p-u log1p-expm1-u 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 fma-neg diff-log div-sub prod-diff prod-exp associate-/r/ cbrt-unprod
Counts
4 → 137
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
194.0ms
(/ (- (- b) (- b (* 2.0 (/ a (/ b c))))) (* 2.0 a))
9.0ms
(/ a (/ b c))
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* b b) (* (* 4.0 a) c))
49.0ms
(/ (- (- b) (- b (* 2.0 (/ a (/ b c))))) (* 2.0 a))
18.0ms
(/ a (/ b c))
64.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify76.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06771110
130871020
250021016

prune539.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.0b

regimes322.0ms

Accuracy

92.1% (1.1b remaining)

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

bsearch240.0ms

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
06776
16776

end0.0ms

sample942.0ms

Algorithm
intervals
Results
455.0ms8768×body80valid
143.0ms3016×body80nan