Details

Time bar (total: 3.5s)

analyze261.0ms (7.4%)

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

sample43.0ms (1.2%)

Algorithm
intervals
Results
15.0ms158×body160valid
8.0ms280×pre80true
6.0ms44×body320valid
3.0ms54×body80valid
1.0ms24×body80nan

simplify180.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (178.0ms)

IterNodesCost
0178416
1178416

prune12.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 44.1b

Counts
2 → 2

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.7b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
pow1
add-sqr-sqrt add-cube-cbrt
distribute-lft-out
times-frac associate-/l*
prod-exp cbrt-unprod
distribute-rgt-neg-in associate-*r* pow-prod-down
cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 72
Calls

4 calls:

12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))

series56.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

28.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
9.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)

simplify44.0ms (1.2%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
060601115

prune160.0ms (4.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New78684
Fresh101
Picked011
Done000
Total79786

Merged error: 0.2b

Counts
86 → 7

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* a c))
0.3b
(* 3.0 (* a c))
0.3b
(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite45.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
34×times-frac
28×add-sqr-sqrt *-un-lft-identity
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
14×pow1 associate-/l*
12×add-cube-cbrt
associate-/r* distribute-lft-out-- difference-of-squares
associate-*l* pow-prod-down associate-/r/
distribute-rgt-neg-in sqrt-prod div-inv add-log-exp
flip3-- flip--
frac-2neg associate-*r* clear-num *-commutative
associate-/l/
Counts
4 → 123
Calls

4 calls:

16.0ms
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
13.0ms
(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms
(* 3.0 (* a c))
5.0ms
(* 3.0 (* a c))

series113.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

58.0ms
(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
48.0ms
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
3.0ms
(* 3.0 (* a c))
3.0ms
(* 3.0 (* a c))

simplify52.0ms (1.5%)

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050252216

prune257.0ms (7.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1296135
Fresh505
Picked011
Done101
Total1357142

Merged error: 0b

Counts
142 → 7

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* 3.0 (* a c)))
0.1b
(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.1b
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.3b
(* 3.0 (* a c))

rewrite32.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
21×times-frac
17×add-cube-cbrt
11×add-exp-log add-cbrt-cube
10×distribute-lft-out-- add-log-exp difference-of-squares
pow1
associate-/r*
distribute-rgt-neg-in sqrt-prod
flip3-- diff-log associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod associate-/l*
sub-neg associate-/r/
cbrt-undiv associate--l- neg-sub0 frac-2neg div-exp associate-*r* neg-log clear-num *-commutative div-inv
Counts
4 → 91
Calls

4 calls:

10.0ms
(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
5.0ms
(* 3.0 (* a c))
4.0ms
(- (* b b) (* 3.0 (* a c)))

series78.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

48.0ms
(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
18.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms
(- (* b b) (* 3.0 (* a c)))
4.0ms
(* 3.0 (* a c))

simplify58.0ms (1.6%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052661656

prune190.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done011
Total1037110

Merged error: 0b

Counts
110 → 7

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.2b
(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
0.3b
(* 3.0 (* a c))
0.3b
(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))

rewrite55.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
92×add-exp-log
50×add-cbrt-cube
39×prod-exp
38×div-exp
31×times-frac
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×cbrt-unprod
15×cbrt-undiv
14×pow1 1-exp
13×associate-/l*
10×associate-*l*
associate-*r/ add-log-exp
pow-prod-down
flip3-- associate-/r/ flip--
frac-times associate-*l/ distribute-lft-out-- difference-of-squares
div-inv
distribute-rgt-neg-in diff-log associate-*r* sqrt-prod *-commutative
associate--l- neg-sub0 sub-neg frac-2neg neg-log clear-num associate-/r* associate-/l/
Counts
4 → 135
Calls

4 calls:

20.0ms
(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
15.0ms
(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))
9.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
5.0ms
(* 3.0 (* a c))

series74.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

36.0ms
(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
19.0ms
(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))
16.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
3.0ms
(* 3.0 (* a c))

simplify74.0ms (2.1%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049472447
149472447

prune273.0ms (7.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1461147
Fresh224
Picked011
Done112
Total1495154

Merged error: 0b

Counts
154 → 5

regimes147.0ms (4.2%)

Accuracy

Total 0.4b remaining (89.2%)

Threshold costs 0.4b (89.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014719
114719

end0.0ms (0%)

sample1.2s (35%)

Algorithm
intervals
Results
454.0ms4886×body160valid
259.0ms8900×pre80true
190.0ms1347×body320valid
87.0ms1767×body80valid
42.0ms900×body80nan

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