Details

Time bar (total: 3.2s)

analyze268.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample38.0ms

Algorithm
intervals
Results
12.0ms128×body160valid
8.0ms277×pre80true
6.0ms128×body80valid
1.0ms21×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03017
13017

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 26.5b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
26.4b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 69
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
3.0ms
(- (* b b) (* (* 4.0 a) c))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify46.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050921264

prune131.0ms

Filtered
64 candidates to 81 candidates (-26.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75681
Fresh000
Picked101
Done000
Total76682

Merged error: 0.3b

Counts
82 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.2b
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
0.3b
(- (* b b) (* 4.0 (* a c)))
0.3b
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
34×times-frac
30×add-sqr-sqrt *-un-lft-identity
17×cbrt-undiv div-exp
14×associate-/l*
13×prod-exp cbrt-unprod
10×add-cube-cbrt distribute-lft-out-- add-log-exp difference-of-squares
8×associate-/r*
6×associate-/r/
5×flip3-- distribute-rgt-neg-in sqrt-prod flip--
4×pow1 div-inv
3×diff-log
2×sub-neg frac-2neg clear-num
1×associate--l- neg-sub0 neg-log associate-/l/
Counts
4 → 115
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
14.0ms
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
5.0ms
(- (* b b) (* 4.0 (* a c)))
12.0ms
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

series123.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
42.0ms
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
8.0ms
(- (* b b) (* 4.0 (* a c)))
58.0ms
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051082561

prune191.0ms

Filtered
79 candidates to 127 candidates (-60.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1207127
Fresh415
Picked101
Done000
Total1258133

Merged error: 0.0b

Counts
133 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.2b
(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
0.3b
(- (* b b) (* 4.0 (* a c)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
10×distribute-lft-out-- add-log-exp difference-of-squares
8×sqrt-prod
7×associate-/r*
6×add-exp-log add-cbrt-cube
5×pow1 distribute-rgt-neg-in
4×flip3-- flip--
3×diff-log associate-/l*
2×sub-neg sqrt-div associate-/r/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp neg-log clear-num div-inv
Counts
4 → 88
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
7.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
3.0ms
(- (* b b) (* 4.0 (* a c)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
49.0ms
(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
8.0ms
(- (* b b) (* 4.0 (* a c)))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049421771
149421771

prune165.0ms

Filtered
71 candidates to 100 candidates (-40.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh347
Picked101
Done000
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (pow b 4) (* 4.0 (* 4.0 (* a (* a (* c c))))))
0.3b
(* a (* c c))
0.3b
(* a (* a (* c c)))
0.4b
(/ (- (pow b 4) (* 4.0 (* 4.0 (* a (* a (* c c)))))) (+ (* b b) (* 4.0 (* a c))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down prod-exp cbrt-unprod
6×associate-*l* add-log-exp
3×associate-/r* associate-/l*
2×flip3-- associate-*r* associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv unswap-sqr
Counts
4 → 83
Calls
4 calls:
4.0ms
(- (pow b 4) (* 4.0 (* 4.0 (* a (* a (* c c))))))
5.0ms
(* a (* c c))
7.0ms
(* a (* a (* c c)))
9.0ms
(/ (- (pow b 4) (* 4.0 (* 4.0 (* a (* a (* c c)))))) (+ (* b b) (* 4.0 (* a c))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (pow b 4) (* 4.0 (* 4.0 (* a (* a (* c c))))))
6.0ms
(* a (* c c))
6.0ms
(* a (* a (* c c)))
20.0ms
(/ (- (pow b 4) (* 4.0 (* 4.0 (* a (* a (* c c)))))) (+ (* b b) (* 4.0 (* a c))))

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049471463
149471463

prune142.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New94195
Fresh077
Picked101
Done000
Total958103

Merged error: 0.0b

Counts
103 → 8

regimes204.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03541
13541

end0.0ms

analyze262.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample1.1s

Algorithm
intervals
Results
436.0ms4383×body160valid
247.0ms8865×pre80true
188.0ms3617×body80valid
44.0ms865×body80nan

Profiling

Loading profile data...