Details

Time bar (total: 4.9s)

sample44.0ms

Algorithm
intervals
Results
15.0ms372×body80valid
1.0ms4×body640valid
0.0ms3×body320valid
0.0ms1×body1280valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
039913
139913

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
20×add-log-exp
19×distribute-lft-out
10×sum-log
8×add-sqr-sqrt
7×associate-*r*
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-+l+ flip3-+ flip-+
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
16.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
16.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
7.0ms
(+ (+ y z) z)
10.0ms
(+ (+ (+ y z) z) y)

series42.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
12.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
7.0ms
(+ (+ y z) z)
6.0ms
(+ (+ (+ y z) z) y)

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04770776
14770776

prune105.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh000
Picked011
Done000
Total79584

Merged error: 0.0b

Counts
84 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
25.0ms
(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series364.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
77.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
77.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
77.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051172603

prune300.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh033
Picked011
Done011
Total986104

Merged error: 0.0b

Counts
104 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.6b
(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 swap-sqr associate-*r* associate-*l* flip-+ unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
12.0ms
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
12.0ms
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
12.0ms
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
31.0ms
(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
78.0ms
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
78.0ms
(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
135.0ms
(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049853651
149853651

prune649.0ms

Filtered
99 candidates to 122 candidates (-23.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1211122
Fresh033
Picked101
Done022
Total1226128

Merged error: 0b

Counts
128 → 6

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b
(cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))
0.6b
(cbrt (cbrt (* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))))
1.0b
(pow (cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))) 4)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
50×cbrt-prod
38×cbrt-div
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
8×flip3-+ flip-+
5×pow1 add-exp-log
4×frac-times pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow associate-*r/ associate-*l/
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 82
Calls
4 calls:
12.0ms
(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
13.0ms
(cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))
10.0ms
(cbrt (cbrt (* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))))
15.0ms
(pow (cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))) 4)

series457.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
78.0ms
(cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))
133.0ms
(cbrt (cbrt (* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))))
168.0ms
(pow (cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))) 4)

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051363085

prune708.0ms

Filtered
83 candidates to 94 candidates (-13.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh033
Picked011
Done022
Total946100

Merged error: 0b

Counts
100 → 6

regimes362.0ms

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
01915
11915

end0.0ms

sample1.0s

Algorithm
intervals
Results
448.0ms10757×body80valid
15.0ms100×body640valid
13.0ms71×body1280valid
5.0ms44×body320valid
3.0ms35×body160valid

Profiling

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