Details

Time bar (total: 5.6s)

sample49.0ms

Algorithm
intervals
Results
27.0ms282×body80valid
6.0ms79×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03618
16718
212318
316018
417518
517718
617718

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize118.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* b b) (* (* 4.0 a) c))
2.3b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite33.0ms

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:
3.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(- (- b) (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)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 4.0 a) c))
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify62.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04062988
114311956
250021869

prune400.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.4b

localize118.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* b b) (* (* 4.0 a) c))
0.4b
(- (* b b) (* (* 4.0 a) c))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

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)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 4.0 a) c))
44.0ms
(- (* b b) (* (* 4.0 a) c))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify92.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0170540
1665506
22968498
35001488

prune367.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.4b

localize124.0ms

Local error

Found 4 expressions with local error:

13.5b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite21.0ms

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:
7.0ms
(+ (- 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)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0249756
1969641
24038626
35001624

prune495.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.4b

localize129.0ms

Local error

Found 4 expressions with local error:

21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.4b
(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)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
94.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
96.0ms
(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

prune530.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.4b

regimes149.0ms

Accuracy

93.3% (0.8b remaining)

Error of 8.6b against oracle of 7.8b and baseline of 20.0b

bsearch184.0ms

Steps
ItersRangePoint
9
1.0966316111626227e+109
8.247031634266059e+117
1.3860055862344277e+112
6
-5.9804310094983566e+131
-4.380264671181666e+130
-1.597887911264436e+131

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06074
16074

end0.0ms

sample1.3s

Algorithm
intervals
Results
825.0ms8699×body80valid
251.0ms2984×body80nan