Details

Time bar (total: 4.1s)

analyze727.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
10.0ms249×body80valid
2.0ms48×body80invalid
1.0msbody1280valid
0.0msbody640valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1867
22837
37427
411977
512737
612737

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ y z) z) y)
0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (+ y z) z)
0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
20×add-log-exp
19×distribute-lft-out
10×sum-log
add-sqr-sqrt
associate-*r*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
associate-+l+ flip3-+ flip-+
+-commutative associate-*l*
distribute-rgt-in distribute-lft-in associate-*r/
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
8.0ms
(+ (+ (+ y z) z) y)
16.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms
(+ (+ y z) z)
14.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (+ (+ y z) z) y)
10.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms
(+ (+ y z) z)
14.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0374480
11624434
25001419

prune109.0ms

Filtered
58 candidates to 83 candidates (-43.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New77683
Fresh000
Picked101
Done000
Total78684

Merged error: 0.0b

Counts
84 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* 2 x) (+ y z))
0.0b
(+ (* (* 2 x) (+ y z)) (* x t))
0.0b
(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt associate-*r* sum-log
associate-+l+ flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
+-commutative distribute-rgt-in distribute-lft-in associate-*r/
associate-*l* *-commutative distribute-lft-out
Counts
3 → 49
Calls
3 calls:
7.0ms
(* (* 2 x) (+ y z))
9.0ms
(+ (* (* 2 x) (+ y z)) (* x t))
9.0ms
(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (* 2 x) (+ y z))
12.0ms
(+ (* (* 2 x) (+ y z)) (* x t))
15.0ms
(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0340387
11791357
25002357

prune80.0ms

Filtered
40 candidates to 58 candidates (-45.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh145
Picked011
Done000
Total58664

Merged error: 0.0b

Counts
64 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
0.6b
(cbrt (+ (+ y z) z))
0.6b
(cbrt (+ (+ y z) z))
0.6b
(cbrt (+ (+ y z) z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
flip3-+ pow1/3 flip-+
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
15.0ms
(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
5.0ms
(cbrt (+ (+ y z) z))
5.0ms
(cbrt (+ (+ y z) z))
6.0ms
(cbrt (+ (+ y z) z))

series139.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
32.0ms
(cbrt (+ (+ y z) z))
34.0ms
(cbrt (+ (+ y z) z))
31.0ms
(cbrt (+ (+ y z) z))

simplify140.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
03001023
1918972
24484849
35001823

prune130.0ms

Filtered
75 candidates to 117 candidates (-56.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh044
Picked011
Done011
Total1176123

Merged error: 0.0b

Counts
123 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.8b
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.8b
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.8b
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-+ pow1/3 flip-+
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
12.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
14.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
35.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
37.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
35.0ms
(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02781044
11030951
25002885

prune99.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done022
Total84690

Merged error: 0.0b

Counts
90 → 6

regimes397.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0207
1207

end0.0ms

analyze723.0ms

Algorithm
search

sample888.0ms

Algorithm
intervals
Results
512.0ms7722×body80valid
76.0ms1871×body80invalid
15.0ms87×body1280valid
15.0ms91×body640valid
7.0ms68×body320valid
2.0ms32×body160valid

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