Details

Time bar (total: 5.2s)

analyze882.0ms

Algorithm
search

sample35.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms201×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.5b
(/ (* x x) (* y y))
21.6b
(/ (* z z) (* t t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
*-un-lft-identity add-log-exp
pow1 add-sqr-sqrt add-cube-cbrt
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
11.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series34.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0375410
11850329
25002297

prune106.0ms

Filtered
39 candidates to 64 candidates (-64.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New521264
Fresh000
Picked101
Done000
Total531265

Merged error: 3.6b

Counts
65 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
21.6b
(/ (* z z) (* t t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
cbrt-undiv div-exp prod-exp cbrt-unprod
div-inv add-log-exp
unswap-sqr
frac-add
frac-times associate-*r/ associate-*l/
+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
9.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series35.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(/ (* z z) (* t t))

simplify67.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0590695
12942594
25001564

prune149.0ms

Filtered
69 candidates to 111 candidates (-60.9%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New9912111
Fresh7411
Picked101
Done000
Total10716123

Merged error: 0.1b

Counts
123 → 16

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
frac-add
cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
add-log-exp
pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
11.0ms
(* (/ x y) (/ x y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* (/ x y) (/ x y))

simplify100.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08181019
14079895
25001862

prune200.0ms

Filtered
104 candidates to 163 candidates (-56.7%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New15211163
Fresh9615
Picked101
Done000
Total16217179

Merged error: 0.0b

Counts
179 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
20.5b
(cbrt (* (/ z t) (/ z t)))
20.5b
(cbrt (* (/ z t) (/ z t)))
20.5b
(cbrt (* (/ z t) (/ z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
pow1/3
add-cube-cbrt *-un-lft-identity
add-exp-log
swap-sqr 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 → 85
Calls
4 calls:
5.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
18.0ms
(cbrt (* (/ z t) (/ z t)))
18.0ms
(cbrt (* (/ z t) (/ z t)))
21.0ms
(cbrt (* (/ z t) (/ z t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0212757
1659686
22655619
35002561

prune75.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh01616
Picked011
Done000
Total9618114

Merged error: 0b

Counts
114 → 18

regimes1.1s

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

analyze1.1s

Algorithm
search

sample1.0s

Algorithm
intervals
Results
376.0ms8000×body80valid
273.0ms5989×body80invalid

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