Details

Time bar (total: 6.7s)

analyze1.5s (22.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14

sample42.0ms (0.6%)

Algorithm
intervals
Results
14.0ms256×body80valid
6.0ms117×body80invalid

simplify62.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
098217
198217

prune10.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.2b
(/ (* z t) 16.0)

rewrite37.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt sum-log
pow1 diff-log
flip3-+ times-frac associate-/r* flip-+
cbrt-undiv +-commutative sub-neg associate-+l+ div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 67
Calls

4 calls:

12.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
9.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
9.0ms
(/ (* z t) 16.0)
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series94.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
24.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
12.0ms
(+ (* x y) (/ (* z t) 16.0))
4.0ms
(/ (* z t) 16.0)

simplify38.0ms (0.6%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049951191
149951191

prune145.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh000
Picked101
Done000
Total76480

Merged error: 0.0b

Counts
80 → 4

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z (/ t 16.0)))
0.0b
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
0.0b
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

rewrite24.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
sum-log
add-sqr-sqrt
diff-log
pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
+-commutative sub-neg associate-+l+ associate--l+ frac-sub distribute-lft-out distribute-lft-out--
associate-+l- flip3-- flip-- difference-of-squares
Counts
3 → 46
Calls

3 calls:

11.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
8.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
4.0ms
(+ (* x y) (* z (/ t 16.0)))

series84.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

48.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
24.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
11.0ms
(+ (* x y) (* z (/ t 16.0)))

simplify38.0ms (0.6%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051301042

prune98.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh033
Picked011
Done000
Total55459

Merged error: 0.0b

Counts
59 → 4

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0))) (cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0))))
0.6b
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))
0.6b
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))
0.6b
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))

rewrite59.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
26×frac-sub
16×frac-times
15×add-cube-cbrt
13×flip3-- flip3-+ flip-- flip-+
11×pow1
10×swap-sqr
pow1/3 distribute-lft-out--
associate-*r* associate-*l*
difference-of-squares
add-exp-log
associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 123
Calls

4 calls:

26.0ms
(* (cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0))) (cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0))))
9.0ms
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))
9.0ms
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))
9.0ms
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))

series297.0ms (4.4%)

Counts
4 → 12
Calls

4 calls:

110.0ms
(* (cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0))) (cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0))))
65.0ms
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))
62.0ms
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))
60.0ms
(cbrt (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)))

simplify54.0ms (0.8%)

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049575002
149575002

prune687.0ms (10.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done011
Total1354139

Merged error: 0.0b

Counts
139 → 4

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c))
0.2b
(/ (* z t) 16.0)
0.2b
(/ (* z t) 16.0)
0.3b
(* (sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c)))

rewrite54.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
43×sqrt-prod
30×add-sqr-sqrt
20×pow1
18×distribute-lft-out
17×add-cube-cbrt
16×add-exp-log swap-sqr add-cbrt-cube
14×sqrt-div
sqrt-pow1 pow1/2 distribute-lft-out--
associate-*r* associate-*l*
flip3-+ flip-+
times-frac associate-/r*
pow-prod-up
cbrt-undiv frac-times div-exp add-log-exp unswap-sqr
pow-prod-down prod-exp pow-sqr cbrt-unprod
frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l*
pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt *-commutative
Counts
4 → 128
Calls

4 calls:

29.0ms
(* (sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c)))
12.0ms
(sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c))
4.0ms
(/ (* z t) 16.0)
4.0ms
(/ (* z t) 16.0)

series537.0ms (8%)

Counts
4 → 12
Calls

4 calls:

482.0ms
(sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c))
47.0ms
(* (sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (/ (* z t) 16.0) (* x y)) (/ (* a b) 4.0)) c)))
4.0ms
(/ (* z t) 16.0)
4.0ms
(/ (* z t) 16.0)

simplify32.0ms (0.5%)

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
052672582

prune287.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done022
Total1404144

Merged error: 0.0b

Counts
144 → 4

regimes1.2s (18.5%)

Accuracy

Total 0.0b remaining (12.9%)

Threshold costs 0.0b (12.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05517
15517

end0.0ms (0%)

sample1.2s (17.9%)

Algorithm
intervals
Results
455.0ms8000×body80valid
234.0ms3909×body80invalid

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