Details

Time bar (total: 5.1s)

sample34.0ms

Algorithm
intervals
Results
14.0ms276×body80valid
4.0ms84×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize119.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b b) (* (* 4.0 a) c))
1.2b
(- (* b b) (* (* 4.0 a) c))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(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 expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
4 → 66
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
3.0ms
(- (* b b) (* (* 4.0 a) c))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 4.0 a) c))
45.0ms
(- (* b b) (* (* 4.0 a) c))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify94.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0170540
1665506
22968498
35001488

prune332.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.9b

localize118.0ms

Local error

Found 4 expressions with local error:

14.1b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
10×fma-neg prod-diff
9×sqrt-prod
8×add-log-exp
7×pow1
6×distribute-lft-neg-in distribute-rgt-neg-in sqrt-div
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
3×rem-sqrt-square sqrt-pow1 pow1/2
2×neg-mul-1 diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 88
Calls
4 calls:
8.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify184.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02831391
19981121
247231013
350011013

prune439.0ms

Filtered
100 candidates to 83 candidates (83.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize123.0ms

Local error

Found 4 expressions with local error:

6.5b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×add-cube-cbrt fma-def *-un-lft-identity
9×sqrt-prod
8×add-log-exp
7×pow1
6×sqrt-div
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×distribute-lft-neg-in rem-sqrt-square flip3-- distribute-rgt-neg-in sqrt-pow1 pow1/2 flip--
2×sum-log
1×+-commutative neg-sub0 associate-+l- neg-mul-1 flip3-+ neg-log flip-+
Counts
4 → 76
Calls
4 calls:
6.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
66.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0249756
1969641
24038626
35001624

prune417.0ms

Filtered
88 candidates to 79 candidates (89.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize122.0ms

Local error

Found 4 expressions with local error:

25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))
25.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u cbrt-div flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 64
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
99.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify80.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0215634
1688602
22689596
35001594

prune456.0ms

Filtered
76 candidates to 68 candidates (89.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.9b

regimes230.0ms

Accuracy

91.3% (1.1b remaining)

Error of 8.6b against oracle of 7.5b and baseline of 19.9b

bsearch186.0ms

Steps
ItersRangePoint
9
8.465625442272063e+58
8.825425083170634e+65
3.295450950813408e+65
9
-6.135068293664718e+160
-2.46786256225829e+152
-1.3301252500505283e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04858
14858

end0.0ms

sample835.0ms

Algorithm
intervals
Results
447.0ms8739×body80valid
134.0ms2982×body80nan