Details

Time bar (total: 5.5s)

analyze1.5s (27.3%)

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 (0.8%)

Algorithm
intervals
Results
13.0ms256×body80valid
7.0ms133×body80invalid

simplify51.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
098217
198217

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (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))
5.0ms
(+ (* x y) (/ (* z t) 16.0))
4.0ms
(/ (* a b) 4.0)

series82.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

42.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
26.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms
(+ (* x y) (/ (* z t) 16.0))
3.0ms
(/ (* a b) 4.0)

simplify34.0ms (0.6%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051261191

prune125.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh000
Picked011
Done000
Total77380

Merged error: 0.0b

Counts
80 → 3

localize14.0ms (0.3%)

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

rewrite71.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
46×add-cube-cbrt
20×add-log-exp
13×associate-/r*
add-exp-log add-cbrt-cube
sum-log
div-inv
pow1 diff-log
cbrt-undiv flip3-+ div-exp flip-+ associate-/l* difference-of-squares
+-commutative sub-neg associate-+l+ associate--l+ frac-sub distribute-lft-out distribute-lft-out--
associate-+l- flip3-- frac-2neg clear-num associate-/r/ flip--
Counts
4 → 118
Calls

4 calls:

35.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
21.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
5.0ms
(/ a (/ 4.0 b))
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series85.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

47.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
24.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
11.0ms
(+ (* x y) (/ (* z t) 16.0))
3.0ms
(/ a (/ 4.0 b))

simplify30.0ms (0.5%)

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
049821891
149821891

prune195.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1291130
Fresh101
Picked011
Done011
Total1303133

Merged error: 0.0b

Counts
133 → 3

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(* (/ (cbrt a) (cbrt 4.0)) (/ (cbrt a) (cbrt 4.0)))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite49.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
197×add-sqr-sqrt
193×cbrt-prod
184×times-frac
107×add-cube-cbrt *-un-lft-identity
40×swap-sqr associate-*r* associate-*l*
25×unswap-sqr
16×add-exp-log
11×pow1
add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp
pow1/3
pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 202
Calls

4 calls:

33.0ms
(* (/ (cbrt a) (cbrt 4.0)) (/ (cbrt a) (cbrt 4.0)))
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series109.0ms (2%)

Counts
4 → 12
Calls

4 calls:

41.0ms
(* (/ (cbrt a) (cbrt 4.0)) (/ (cbrt a) (cbrt 4.0)))
25.0ms
(cbrt a)
21.0ms
(cbrt a)
21.0ms
(cbrt a)

simplify92.0ms (1.7%)

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049922636
149922636

prune648.0ms (11.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2140214
Fresh000
Picked011
Done022
Total2143217

Merged error: 0.0b

Counts
217 → 3

regimes1.1s (20.7%)

Accuracy

Total 0.1b remaining (35%)

Threshold costs 0.1b (35%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05517
15517

end0.0ms (0%)

sample1.2s (21.2%)

Algorithm
intervals
Results
459.0ms8000×body80valid
226.0ms3941×body80invalid

Profiling

Loading profile data...