Details

Time bar (total: 2.1s)

analyze478.0ms

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
12.5%87.3%0.2%7
18.7%81.1%0.2%8
46.8%53%0.2%9
47.6%52.2%0.2%10
48.3%51.5%0.2%11
54.2%45.6%0.2%12
67.6%32.2%0.2%13
68.2%31.6%0.2%14

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms39×body80invalid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
064013
164013

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 (/ x 8.0)) (- t (* y (/ z 2.0))))
0.0b
(- t (* y (/ z 2.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log associate-*r/ frac-add sum-log add-cbrt-cube flip--
1×+-commutative associate-+r- associate-+r+ flip3-+ flip-+
Counts
2 → 27
Calls
2 calls:
7.0ms
(+ (* 1.0 (/ x 8.0)) (- t (* y (/ z 2.0))))
6.0ms
(- t (* y (/ z 2.0)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* 1.0 (/ x 8.0)) (- t (* y (/ z 2.0))))
8.0ms
(- t (* y (/ z 2.0)))

simplify26.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05262502

prune50.0ms

Filtered
28 candidates to 33 candidates (-17.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh000
Picked011
Done000
Total32234

Merged error: 0.0b

Counts
34 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b
(- (* t t) (* y (* y (* (/ z 2.0) (/ z 2.0)))))
5.0b
(* y (* y (* (/ z 2.0) (/ z 2.0))))
9.1b
(* y (* (/ z 2.0) (/ z 2.0)))
23.9b
(/ (- (* t t) (* y (* y (* (/ z 2.0) (/ z 2.0))))) (+ t (* y (/ z 2.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
24×prod-exp cbrt-unprod
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×associate-*r/
9×cbrt-undiv times-frac div-exp pow-prod-down
6×associate-*l* add-log-exp
3×associate-/r* associate-/l*
2×frac-times flip3-- associate-*r* associate-*l/ associate-/r/ *-commutative flip-- associate-/l/
1×sub-neg frac-2neg flip3-+ diff-log div-sub clear-num flip-+ div-inv unswap-sqr
Counts
4 → 101
Calls
4 calls:
8.0ms
(- (* t t) (* y (* y (* (/ z 2.0) (/ z 2.0)))))
14.0ms
(* y (* y (* (/ z 2.0) (/ z 2.0))))
9.0ms
(* y (* (/ z 2.0) (/ z 2.0)))
7.0ms
(/ (- (* t t) (* y (* y (* (/ z 2.0) (/ z 2.0))))) (+ t (* y (/ z 2.0))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* t t) (* y (* y (* (/ z 2.0) (/ z 2.0)))))
7.0ms
(* y (* y (* (/ z 2.0) (/ z 2.0))))
7.0ms
(* y (* (/ z 2.0) (/ z 2.0)))
32.0ms
(/ (- (* t t) (* y (* y (* (/ z 2.0) (/ z 2.0))))) (+ t (* y (/ z 2.0))))

simplify30.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051611677

prune131.0ms

Filtered
69 candidates to 113 candidates (-63.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh000
Picked011
Done011
Total1123115

Merged error: 0.0b

Counts
115 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (/ x 8.0)) (/ (- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))) (+ t (* y (/ z 2.0)))))
0.2b
(* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))
1.7b
(- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0)))))
23.9b
(/ (- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))) (+ t (* y (/ z 2.0))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
12×times-frac
11×pow1
8×add-exp-log add-cbrt-cube add-log-exp
5×difference-of-squares
4×associate-/l*
3×swap-sqr associate-*r* associate-*l* associate-/r*
2×flip3-- flip3-+ div-sub associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative pow2 associate-+r- sub-neg frac-2neg pow-plus diff-log associate-*r/ div-exp pow-prod-down frac-add prod-exp clear-num sum-log pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 86
Calls
4 calls:
11.0ms
(+ (* 1.0 (/ x 8.0)) (/ (- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))) (+ t (* y (/ z 2.0)))))
3.0ms
(* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))
3.0ms
(- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0)))))
7.0ms
(/ (- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))) (+ t (* y (/ z 2.0))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* 1.0 (/ x 8.0)) (/ (- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))) (+ t (* y (/ z 2.0)))))
4.0ms
(* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))
8.0ms
(- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0)))))
22.0ms
(/ (- (* t t) (* (fabs (* y (/ z 2.0))) (fabs (* y (/ z 2.0))))) (+ t (* y (/ z 2.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
052482057

prune203.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done022
Total983101

Merged error: 0.0b

Counts
101 → 3

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04913
14913

end0.0ms

sample604.0ms

Algorithm
intervals
Results
327.0ms7998×body80valid
44.0ms1135×body80invalid
0.0ms2×body1280valid

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