Details

Time bar (total: 8.4s)

analyze1.7s

Algorithm
search

sample42.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
7.0ms135×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0328
1698
21348
32258
43788
55988
68158
710358
811438
912118
1012118

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

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))
0.0b
(+ (* x y) (/ (* z t) 16.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
6×sum-log
5×add-sqr-sqrt
4×diff-log
3×pow1 add-exp-log add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- flip-- difference-of-squares
Counts
3 → 48
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))
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series79.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
23.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0282548
11017527
24883513
35001513

prune72.0ms

Filtered
43 candidates to 57 candidates (-32.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0.0b

Counts
58 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite47.0ms

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
9×pow1/3 distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 123
Calls
4 calls:
20.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
7.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
7.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
8.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
60.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
57.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
59.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04373173
114903052
250012888

prune354.0ms

Filtered
96 candidates to 135 candidates (-40.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1332135
Fresh000
Picked011
Done011
Total1334137

Merged error: 0.0b

Counts
137 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
2.7b
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
4.8b
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
25.0b
(cbrt (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*l/
12×flip3-- flip--
9×pow1 add-exp-log add-cbrt-cube
8×frac-sub add-log-exp
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
3×cbrt-prod associate-*l* pow-prod-down prod-exp cbrt-unprod
2×sub-neg diff-log
1×pow1/3 associate-*r* *-commutative difference-of-squares
Counts
4 → 66
Calls
4 calls:
6.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
10.0ms
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
8.0ms
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
13.0ms
(cbrt (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
73.0ms
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
30.0ms
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
118.0ms
(cbrt (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b))))

simplify80.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05561869
125011690
250031687

prune274.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done022
Total78482

Merged error: 0.0b

Counts
82 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (pow (sqrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4) 1) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.4b
(pow (sqrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4)
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
53×unpow-prod-down
51×add-sqr-sqrt
34×cbrt-prod
27×*-un-lft-identity
20×sqrt-prod
19×associate-*l*
17×add-cube-cbrt
14×unswap-sqr
13×add-exp-log
12×cbrt-div
8×associate-*r*
7×pow1 sqr-pow
6×frac-sub
5×pow-exp prod-exp add-cbrt-cube distribute-lft-out-- difference-of-squares
4×pow-pow associate-*r/ add-log-exp
3×pow-to-exp pow-unpow flip3-- flip3-+ pow1/3 flip-- flip-+
2×sqrt-pow1
1×pow1/2 pow-prod-down *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 123
Calls
4 calls:
28.0ms
(* (pow (pow (sqrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4) 1) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
11.0ms
(pow (sqrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4)
8.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
7.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (pow (pow (sqrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4) 1) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
110.0ms
(pow (sqrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4)
58.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
56.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05442681
121442304
250012046

prune315.0ms

Filtered
98 candidates to 135 candidates (-37.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done033
Total1354139

Merged error: 0.0b

Counts
139 → 4

regimes1.3s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

analyze1.7s

Algorithm
search

sample1.1s

Algorithm
intervals
Results
458.0ms8000×body80valid
229.0ms3904×body80invalid

Profiling

Loading profile data...