Details

Time bar (total: 5.3s)

sample34.0ms

Algorithm
intervals
Results
15.0ms276×body80valid
4.0ms88×body80nan

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03918
18018
214318
317718
418918
519318
619318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize119.0ms

Local error

Found 4 expressions with local error:

1.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.6b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
60×prod-diff
58×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
37×sqrt-prod
26×distribute-rgt-neg-in
24×distribute-lft-neg-in
12×add-log-exp
10×fma-def fma-neg
8×neg-mul-1
6×pow1
4×add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sqrt-pow1 pow1/2 diff-log neg-log sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative associate--l- associate-+l- sub-neg flip3-+ flip-+
Counts
4 → 151
Calls
4 calls:
13.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify71.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04183056
114712008
250011917

prune436.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.0b

localize120.0ms

Local error

Found 4 expressions with local error:

22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 68
Calls
4 calls:
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)))
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
69.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
212.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify74.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0139592
1510568
22129564
35001556

prune368.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 8.0b

localize117.0ms

Local error

Found 4 expressions with local error:

5.4b
(exp (log (sqrt (- (* b b) (* (* 4.0 a) c)))))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.8b
(- (- b) (exp (log (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
90×prod-diff
77×add-sqr-sqrt
73×*-un-lft-identity
69×add-cube-cbrt
68×log-prod exp-sum
40×sqrt-prod
31×distribute-rgt-neg-in
30×distribute-lft-neg-in
10×neg-mul-1 fma-neg
8×pow1 add-log-exp
6×exp-prod sqrt-div
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
3×sqrt-pow1 pow1/2 log-pow difference-of-squares
2×rem-sqrt-square log-div exp-diff diff-log distribute-lft-out--
1×associate--l- neg-sub0 sub-neg neg-log rem-exp-log
Counts
4 → 179
Calls
4 calls:
5.0ms
(exp (log (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)))
28.0ms
(- (- b) (exp (log (sqrt (- (* b b) (* (* 4.0 a) c))))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(exp (log (sqrt (- (* b b) (* (* 4.0 a) c)))))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
78.0ms
(- (- b) (exp (log (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify79.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05175071
114732625
250012496

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 8.0b

localize129.0ms

Local error

Found 4 expressions with local error:

5.8b
(pow E (log (sqrt (- (* b b) (* (* 4.0 a) c)))))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.8b
(- (- b) (pow E (log (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
130×prod-diff
103×add-sqr-sqrt
96×*-un-lft-identity
92×add-cube-cbrt
68×unpow-prod-up log-prod
43×distribute-rgt-neg-in
42×distribute-lft-neg-in
40×sqrt-prod
34×unpow-prod-down
14×neg-mul-1
12×sqr-pow
10×fma-neg
9×pow1
8×add-log-exp
6×pow-unpow sqrt-div
5×add-exp-log difference-of-squares
4×expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
3×sqrt-pow1 pow1/2 log-pow
2×rem-sqrt-square log-div diff-log pow-exp distribute-lft-out-- pow-sub
1×associate--l- neg-sub0 pow-to-exp sub-neg e-exp-1 pow-pow neg-log
Counts
4 → 228
Calls
4 calls:
5.0ms
(pow E (log (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)))
25.0ms
(- (- b) (pow E (log (sqrt (- (* b b) (* (* 4.0 a) c))))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(pow E (log (sqrt (- (* b b) (* (* 4.0 a) c)))))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
66.0ms
(- (- b) (pow E (log (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06897723
122535592
250015382

prune584.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.8b

regimes162.0ms

Accuracy

91.9% (1.1b remaining)

Error of 7.4b against oracle of 6.3b and baseline of 19.9b

bsearch124.0ms

Steps
ItersRangePoint
5
5.10808278574109e+145
1.867402505400959e+146
6.116927972497105e+145
7
-3.370403232278448e+122
-3.9321797204437913e+120
-6.8563483521743725e+121

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05262
15262

end0.0ms

sample855.0ms

Algorithm
intervals
Results
454.0ms8719×body80valid
143.0ms2917×body80nan