Details

Time bar (total: 7.6s)

analyze1.6s

Algorithm
search

sample48.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
9.0ms191×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
8.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms
(+ (* x y) (* z t))
6.0ms
(+ (+ (* x y) (* z t)) (* a b))

series146.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms
(+ (* x y) (* z t))
20.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify36.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276348
11151333
25001333

prune66.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.3b
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ add-log-exp
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down sum-log pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
6.0ms
(+ (+ (* x y) (* z t)) (* a b))
16.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (+ (* x y) (* z t)) (* a b))
19.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
129.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
151.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify52.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03141153
114831063
250021037

prune105.0ms

Filtered
68 candidates to 112 candidates (-64.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh011
Picked011
Done011
Total1114115

Merged error: 0.0b

Counts
115 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
127.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
132.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
129.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0199772
1906744
25001744

prune112.0ms

Filtered
64 candidates to 72 candidates (-12.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done022
Total72476

Merged error: 0.0b

Counts
76 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.2b
(pow (+ (* x y) (* z t)) 3)
38.2b
(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-log-exp
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sum-log sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 70
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
8.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
5.0ms
(pow (+ (* x y) (* z t)) 3)
5.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

series74.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x y) (* z t))
19.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
34.0ms
(pow (+ (* x y) (* z t)) 3)
10.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

simplify57.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0340578
11694519
25001513

prune85.0ms

Filtered
52 candidates to 82 candidates (-57.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done033
Total82486

Merged error: 0.0b

Counts
86 → 4

regimes1.4s

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
0227
1227

end0.0ms

analyze1.4s

Algorithm
search

sample1.3s

Algorithm
intervals
Results
432.0ms8000×body80valid
300.0ms5690×body80invalid

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