Details

Time bar (total: 2.8s)

analyze649.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms22×body80invalid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
012189
112189

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.2b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 2.0 (* z (- y t)))
4.8b
(* x (/ 2.0 (* z (- y t))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*r/
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×sub-neg pow-prod-down *-commutative div-inv unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls
3 calls:
6.0ms
(* z (- y t))
6.0ms
(/ 2.0 (* z (- y t)))
9.0ms
(* x (/ 2.0 (* z (- y t))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
12.0ms
(* x (/ 2.0 (* z (- y t))))

simplify43.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05973663

prune112.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New77885
Fresh101
Picked101
Done000
Total79887

Merged error: 0.0b

Counts
87 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
4.8b
(* x (/ (/ 2.0 z) (- y t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
8.0ms
(/ (/ 2.0 z) (- y t))
23.0ms
(* x (/ (/ 2.0 z) (- y t)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (/ 2.0 z) (- y t))
12.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050782485

prune234.0ms

Filtered
142 candidates to 199 candidates (-40.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1954199
Fresh347
Picked101
Done000
Total1998207

Merged error: 0b

Counts
207 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
2.4b
(/ x (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log cbrt-div
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
11×add-cbrt-cube
9×add-cube-cbrt flip3-- flip--
8×associate-*l/ associate-/r/
6×prod-exp cbrt-unprod
4×pow1 cbrt-undiv frac-times div-exp add-log-exp
3×times-frac pow1/3 associate-/l* distribute-lft-out-- difference-of-squares
2×associate-*r/
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 78
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
16.0ms
(/ x (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z)))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- y t))
26.0ms
(cbrt (- y t))
25.0ms
(cbrt (- y t))
54.0ms
(/ x (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049491088
149491088

prune115.0ms

Filtered
67 candidates to 90 candidates (-34.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New90090
Fresh077
Picked011
Done000
Total90898

Merged error: 0b

Counts
98 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* (/ 1 z) (/ 2.0 (- y t)))
4.8b
(* x (* (/ 1 z) (/ 2.0 (- y t))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
59×add-exp-log
46×*-un-lft-identity times-frac
35×add-cbrt-cube
30×add-cube-cbrt
25×prod-exp
22×associate-*r*
17×div-exp
16×associate-*l*
13×cbrt-unprod
10×pow1
9×cbrt-undiv
7×distribute-lft-out-- difference-of-squares
6×unswap-sqr
5×associate-*r/ associate-/r*
4×rec-exp 1-exp pow-prod-down associate-/r/
3×div-inv associate-/l* add-log-exp
2×frac-times flip3-- associate-*l/ *-commutative flip--
1×frac-2neg clear-num
Counts
3 → 132
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
14.0ms
(* (/ 1 z) (/ 2.0 (- y t)))
11.0ms
(* x (* (/ 1 z) (/ 2.0 (- y t))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
10.0ms
(* (/ 1 z) (/ 2.0 (- y t)))
12.0ms
(* x (* (/ 1 z) (/ 2.0 (- y t))))

simplify74.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049641245
149641245

prune115.0ms

Filtered
87 candidates to 141 candidates (-62.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1401141
Fresh156
Picked011
Done011
Total1418149

Merged error: 0b

Counts
149 → 8

regimes337.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02827
12827

end0.0ms

sample521.0ms

Algorithm
intervals
Results
280.0ms8000×body80valid
25.0ms662×body80invalid

Profiling

Loading profile data...