Details

Time bar (total: 3.6s)

analyze409.0ms (11.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
35.9%55.4%8.7%10
42.9%47.6%9.5%11
51.5%38.2%10.3%12
55%30%15%13
59.5%25.3%15.3%14

sample20.0ms (0.5%)

Algorithm
intervals
Results
8.0ms240×body80valid
1.0ms23×body80invalid
1.0msbody640valid
1.0msbody320valid
0.0msbody1280valid
0.0msbody160valid

simplify238.0ms (6.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (236.0ms)

IterNodesCost
0492613
1492613

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.4b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite36.0ms (1%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
associate-*r*
flip3-- flip-- add-log-exp
add-cube-cbrt
associate-*l*
sub-neg difference-of-squares
frac-times pow-prod-down prod-exp cbrt-unprod
distribute-lft-out--
distribute-rgt-in associate-+r+ distribute-lft-in times-frac associate-*r/ *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 80
Calls

4 calls:

13.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))
8.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
7.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)

series28.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))
4.0ms
(* (- y x) 6.0)
2.0ms
(- (/ 2.0 3.0) z)

simplify50.0ms (1.4%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049881087
149881087

prune352.0ms (9.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.2b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite37.0ms (1%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
distribute-rgt-in distribute-lft-in
flip3-- associate-*l* flip-- add-log-exp
add-cube-cbrt associate-*r*
difference-of-squares
frac-times associate-+r+ pow-prod-down prod-exp cbrt-unprod
distribute-lft-out--
times-frac associate-*l/ *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 86
Calls

4 calls:

13.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
9.0ms
(* 6.0 (- (/ 2.0 3.0) z))
7.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series27.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
4.0ms
(* 6.0 (- (/ 2.0 3.0) z))
2.0ms
(- (/ 2.0 3.0) z)

simplify25.0ms (0.7%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
054871214

prune164.0ms (4.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh167
Picked011
Done000
Total979106

Merged error: 0.0b

Counts
106 → 9

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (neg z)))
0.0b
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
0.3b
(* (* (- y x) 6.0) (neg z))
0.4b
(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite32.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
23×associate-*r*
21×add-exp-log add-cbrt-cube
18×associate-*l/
14×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×add-log-exp
times-frac prod-exp cbrt-unprod
pow-prod-down
flip3-- flip--
flip3-+ frac-add sum-log flip-+
distribute-lft-neg-in distribute-rgt-neg-in
cbrt-undiv +-commutative frac-times div-exp associate-*l* *-commutative distribute-rgt-neg-out
neg-mul-1 associate-+l+ associate-*r/ unsub-neg div-inv
Counts
4 → 94
Calls

4 calls:

9.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))
8.0ms
(* (* (- y x) 6.0) (neg z))
8.0ms
(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (neg z)))
4.0ms
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))

series30.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (neg z)))
8.0ms
(* (* (- y x) 6.0) (neg z))
5.0ms
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
4.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify50.0ms (1.4%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049741474
149741474

prune184.0ms (5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh077
Picked011
Done011
Total10510115

Merged error: 0.0b

Counts
115 → 10

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls

4 calls:

9.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
3.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
3.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
3.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

series503.0ms (13.8%)

Counts
4 → 12
Calls

4 calls:

222.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
94.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
94.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
92.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify34.0ms (0.9%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
051152901

prune359.0ms (9.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh167
Picked011
Done022
Total9811109

Merged error: 0.0b

Counts
109 → 11

regimes448.0ms (12.3%)

Accuracy

Total 0.2b remaining (79.4%)

Threshold costs 0.2b (79.4%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03313
13313

end0.0ms (0%)

sample548.0ms (15%)

Algorithm
intervals
Results
267.0ms7323×body80valid
34.0ms257×body640valid
25.0ms638×body80invalid
22.0ms130×body1280valid
16.0ms165×body320valid
8.0ms125×body160valid

Profiling

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