Details

Time bar (total: 3.1s)

analyze462.0ms

Algorithm
search

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
5.0ms98×body80invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1414
2584
3774
41114
51714
62934
75214
87074
97874
109644
119884
129884

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
8.0ms
(/ (- (+ x y) z) (* t 2.0))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203198
1740169
23492169
35001169

prune42.0ms

Filtered
23 candidates to 33 candidates (-43.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0.0b

Counts
34 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ y t) (/ x t)) (/ z t))
0.0b
(+ (/ y t) (/ x t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt
9×add-log-exp
8×distribute-lft-out
7×add-cube-cbrt
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ div-inv difference-of-squares
1×+-commutative sub-neg distribute-rgt-out flip3-- associate--l+ flip--
Counts
2 → 41
Calls
2 calls:
20.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
11.0ms
(+ (/ y t) (/ x t))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
5.0ms
(+ (/ y t) (/ x t))

simplify50.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0220339
1671323
22370316
35002316

prune75.0ms

Filtered
35 candidates to 47 candidates (-34.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh011
Picked011
Done011
Total46450

Merged error: 0b

Counts
50 → 4

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ 1 t) (+ y x)) (/ z t))
0.2b
(* (/ 1 t) (+ y x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×frac-sub
4×pow1 frac-times flip3-+ associate-*r/ associate-*r* prod-exp flip-+ add-log-exp
3×associate-*l/ unswap-sqr
2×distribute-rgt-in distribute-lft-in div-exp associate--l+ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp flip3-- diff-log 1-exp pow-prod-down *-commutative flip-- div-inv distribute-lft-out sub-div
Counts
2 → 62
Calls
2 calls:
16.0ms
(- (* (/ 1 t) (+ y x)) (/ z t))
15.0ms
(* (/ 1 t) (+ y x))

series25.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(- (* (/ 1 t) (+ y x)) (/ z t))
11.0ms
(* (/ 1 t) (+ y x))

simplify61.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0436405
11904353
25002332

prune102.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done022
Total68472

Merged error: 0b

Counts
72 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))
0.2b
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
0.9b
(sqrt (/ (- (+ x y) z) (* t 2.0)))
0.9b
(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
78×sqrt-prod
54×times-frac
52×add-sqr-sqrt
24×distribute-lft-out--
22×add-cube-cbrt
21×pow1 swap-sqr
13×associate-*r* associate-*l*
12×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
8×difference-of-squares
7×div-inv
6×sqrt-div associate-/l*
5×pow-prod-up
4×add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod associate-/l/
1×pow2 frac-times flip3-- frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ associate-*l/ clear-num associate-/r* rem-square-sqrt *-commutative flip--
Counts
4 → 151
Calls
4 calls:
8.0ms
(/ (- (+ x y) z) (* t 2.0))
19.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
6.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (- (+ x y) z) (* t 2.0))
36.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
27.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
25.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03971145
117651043
250011022

prune156.0ms

Filtered
97 candidates to 163 candidates (-68.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1630163
Fresh000
Picked011
Done033
Total1634167

Merged error: 0b

Counts
167 → 4

regimes489.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze509.0ms

Algorithm
search

sample644.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
100.0ms2705×body80invalid

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