Details

Time bar (total: 5.7s)

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

sample31.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
0.0ms8×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01917
11917

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.5b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(+ y (* z (- b y)))
1.5b
(+ (* x y) (* z (- t a)))
20.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite22.0ms

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:
6.0ms
(* z (- b y))
3.0ms
(+ y (* z (- b y)))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
10.0ms
(+ y (* z (- b y)))
14.0ms
(+ (* x y) (* z (- t a)))
88.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify29.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
049851289
149851289

prune137.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85893
Fresh000
Picked011
Done000
Total85994

Merged error: 20.9b

Counts
94 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.2b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.5b
(+ (* x y) (* z (- t a)))
20.9b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv sub-neg associate-+r+
2×+-commutative distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 141
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
10.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms
(+ (* x y) (* z (- t a)))
6.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ y (* z (- b y)))
156.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
15.0ms
(+ (* x y) (* z (- t a)))
62.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify64.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
060183619

prune155.0ms

Filtered
107 candidates to 153 candidates (-43.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh077
Picked011
Done011
Total1539162

Merged error: 20.9b

Counts
162 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

17.0b
(cbrt (* z (- b y)))
17.0b
(cbrt (* z (- b y)))
17.0b
(cbrt (* z (- b y)))
20.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*r/ add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-prod flip3-- pow1/3 associate-/r* flip-- 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:
4.0ms
(cbrt (* z (- b y)))
4.0ms
(cbrt (* z (- b y)))
4.0ms
(cbrt (* z (- b y)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (* z (- b y)))
33.0ms
(cbrt (* z (- b y)))
35.0ms
(cbrt (* z (- b y)))
97.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049661112
149661112

prune99.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh066
Picked011
Done022
Total76985

Merged error: 20.9b

Counts
85 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

8.5b
(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
17.9b
(cbrt (+ (* x y) (* z (- t a))))
17.9b
(cbrt (+ (* x y) (* z (- t a))))
17.9b
(cbrt (+ (* x y) (* z (- t a))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times flip3-+ flip-+
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
18.0ms
(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
3.0ms
(cbrt (+ (* x y) (* z (- t a))))
3.0ms
(cbrt (+ (* x y) (* z (- t a))))
3.0ms
(cbrt (+ (* x y) (* z (- t a))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
53.0ms
(cbrt (+ (* x y) (* z (- t a))))
52.0ms
(cbrt (+ (* x y) (* z (- t a))))
55.0ms
(cbrt (+ (* x y) (* z (- t a))))

simplify45.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055963286

prune107.0ms

Filtered
90 candidates to 114 candidates (-26.7%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done033
Total1149123

Merged error: 20.9b

Counts
123 → 9

regimes776.0ms

Accuracy

0% (0.6b remaining)

Error of 22.9b against oracle of 22.3b and baseline of 22.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

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

sample696.0ms

Algorithm
intervals
Results
405.0ms8000×body80valid
19.0ms396×body80invalid

Profiling

Loading profile data...