Details

Time bar (total: 3.2s)

analyze642.0ms

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

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms16×body80invalid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
012189
112189

prune15.0ms

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: 6.6b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 2.0 (* z (- y t)))
6.4b
(* 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))))

simplify48.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05973663

prune116.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New78785
Fresh011
Picked101
Done000
Total79887

Merged error: 0.0b

Counts
87 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
6.4b
(* x (/ (/ 2.0 z) (- y t)))

rewrite42.0ms

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)))

simplify59.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050782485

prune225.0ms

Filtered
143 candidates to 199 candidates (-39.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1963199
Fresh437
Picked011
Done000
Total2007207

Merged error: 0b

Counts
207 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
4.2b
(* (* x (/ (sqrt 2.0) (* (cbrt z) (cbrt z)))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
380×times-frac
268×add-sqr-sqrt
260×*-un-lft-identity
212×associate-*r*
180×add-cube-cbrt
112×cbrt-prod
90×sqrt-prod
60×add-exp-log
48×add-cbrt-cube
40×distribute-lft-out-- difference-of-squares
25×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
16×pow1
8×pow1/3
7×associate-*l*
6×swap-sqr div-inv
5×pow-prod-down
4×add-log-exp unswap-sqr
3×associate-*r/
2×associate-/r/ pow-sqr *-commutative pow-prod-up
1×pow2 frac-times flip3-- pow-plus associate-*l/ flip--
Counts
4 → 306
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(* (cbrt z) (cbrt z))
43.0ms
(* (* x (/ (sqrt 2.0) (* (cbrt z) (cbrt z)))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
24.0ms
(cbrt z)
24.0ms
(* (cbrt z) (cbrt z))
26.0ms
(* (* x (/ (sqrt 2.0) (* (cbrt z) (cbrt z)))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
318 → 318
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
052325554

prune400.0ms

Filtered
183 candidates to 318 candidates (-73.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3180318
Fresh055
Picked011
Done011
Total3187325

Merged error: 0b

Counts
325 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* x (/ 2.0 z))
6.4b
(/ (* x (/ 2.0 z)) (- y t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
15×times-frac
13×associate-*r*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp cbrt-unprod
3×associate-*l*
2×associate-*r/ associate-/r/ div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- associate-/l/ associate-/l*
Counts
2 → 62
Calls
2 calls:
6.0ms
(* x (/ 2.0 z))
7.0ms
(/ (* x (/ 2.0 z)) (- y t))

series15.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* x (/ 2.0 z))
12.0ms
(/ (* x (/ 2.0 z)) (- y t))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05436550

prune62.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh224
Picked011
Done112
Total70575

Merged error: 0b

Counts
75 → 5

regimes558.0ms

Accuracy

93.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06391
16391

end0.0ms

sample539.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid
25.0ms671×body80invalid

Profiling

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