Details

Time bar (total: 5.0s)

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0.6%99.1%0.3%11
1.8%98%0.3%12
2.6%97.1%0.3%13
4%95.7%0.3%14

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms19×body80invalid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0506017

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.4b
(+ (* x y) (* z (- t a)))
22.4b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 sub-neg
5×associate-*r*
4×associate-+r+ flip3-+ flip-+
3×distribute-rgt-in distribute-lft-in associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
6.0ms
(* z (- t a))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series124.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ y (* z (- b y)))
7.0ms
(* z (- t a))
14.0ms
(+ (* x y) (* z (- t a)))
96.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify38.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053751289

prune149.0ms

Filtered
69 candidates to 93 candidates (-34.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New831093
Fresh000
Picked011
Done000
Total831194

Merged error: 22.4b

Counts
94 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
22.4b
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
15×cbrt-prod add-cube-cbrt
9×times-frac
6×add-exp-log cbrt-div add-cbrt-cube
4×pow1 add-log-exp
3×flip3-- pow1/3 associate-/r* flip-- associate-/l* distribute-lft-out-- difference-of-squares
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 76
Calls
4 calls:
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
8.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t a))
26.0ms
(cbrt (- t a))
28.0ms
(cbrt (- t a))
95.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049551213
149551213

prune122.0ms

Filtered
64 candidates to 88 candidates (-37.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh099
Picked011
Done011
Total871299

Merged error: 22.4b

Counts
99 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
22.4b
(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (- t a) (cbrt z)))) (+ y (* z (- b y))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
8.0ms
(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (- t a) (cbrt z)))) (+ y (* z (- b y))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)
296.0ms
(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (- t a) (cbrt z)))) (+ y (* z (- b y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04936922
14936922

prune103.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh099
Picked011
Done022
Total761288

Merged error: 22.4b

Counts
88 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b
(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
22.4b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
22.4b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
22.4b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
7×flip3-+ flip-+
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 117
Calls
4 calls:
5.0ms
(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
92.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
92.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
92.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050163109

prune135.0ms

Filtered
105 candidates to 129 candidates (-22.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1281129
Fresh088
Picked101
Done033
Total12912141

Merged error: 22.4b

Counts
141 → 12

regimes884.0ms

Accuracy

0% (0.6b remaining)

Error of 23.0b against oracle of 22.4b and baseline of 23.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03717
13717

end0.0ms

sample694.0ms

Algorithm
intervals
Results
407.0ms8000×body80valid
20.0ms422×body80invalid

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