Details

Time bar (total: 3.2s)

analyze697.0ms

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
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0493713
1493713

prune11.0ms

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: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ z y) (/ t (* 2.0 z)))
0.9b
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×*-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
associate-/r*
distribute-lft-out--
add-exp-log add-cbrt-cube add-log-exp
associate-/r/ associate-/l*
pow1 flip3-- frac-sub flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 57
Calls
2 calls:
13.0ms
(- (/ z y) (/ t (* 2.0 z)))
11.0ms
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (/ z y) (/ t (* 2.0 z)))
9.0ms
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
052591013

prune117.0ms

Filtered
50 candidates to 63 candidates (-26.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh011
Picked011
Done000
Total58765

Merged error: 0b

Counts
65 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ -1 (- (/ z y) (/ t (* z 2.0))))
14.3b
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
14.3b
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
14.3b
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
85×times-frac
75×cbrt-prod
71×*-un-lft-identity
45×add-cube-cbrt
26×difference-of-squares
13×distribute-lft-out--
12×associate-/r/
add-exp-log associate-/r* add-cbrt-cube
pow1 flip3-- frac-sub flip-- div-inv add-log-exp
cbrt-div pow1/3 associate-/l*
cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 144
Calls
4 calls:
11.0ms
(/ -1 (- (/ z y) (/ t (* z 2.0))))
11.0ms
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
13.0ms
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
11.0ms
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ -1 (- (/ z y) (/ t (* z 2.0))))
32.0ms
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
34.0ms
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))
32.0ms
(cbrt (/ -1 (- (/ z y) (/ t (* z 2.0)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049633185
149633185

prune416.0ms

Filtered
127 candidates to 156 candidates (-22.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh055
Picked011
Done011
Total1567163

Merged error: 0b

Counts
163 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
15.3b
(cbrt (- (/ z y) (/ t (* z 2.0))))
15.3b
(cbrt (- (/ z y) (/ t (* z 2.0))))
15.3b
(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
24×add-sqr-sqrt
18×cbrt-prod
15×add-exp-log *-un-lft-identity associate-/r/
12×pow1
11×flip3-- frac-sub flip--
frac-times add-cube-cbrt pow-flip pow1/3
add-cbrt-cube
times-frac difference-of-squares
div-exp add-log-exp
associate-*r/ associate-*l/ prod-exp associate-/l* distribute-lft-out--
cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 101
Calls
4 calls:
26.0ms
(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
9.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
9.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
9.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1 (* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0))))))
26.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
22.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
23.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
055171792

prune235.0ms

Filtered
83 candidates to 113 candidates (-36.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh044
Picked011
Done022
Total1137120

Merged error: 0b

Counts
120 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* y 2.0) z)
0.9b
(- (* (* z 2.0) z) (* y t))
19.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
add-log-exp
cbrt-undiv times-frac div-exp associate-*r* pow-prod-down associate-/r*
flip3-- associate-/r/ flip--
sub-neg frac-2neg diff-log associate-*l* clear-num *-commutative div-inv associate-/l*
Counts
3 → 54
Calls
3 calls:
5.0ms
(* (* y 2.0) z)
5.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (* y 2.0) z)
8.0ms
(- (* (* z 2.0) z) (* y t))
26.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify35.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05174724

prune65.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh123
Picked011
Done213
Total65570

Merged error: 0b

Counts
70 → 5

regimes350.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03013
13013

end0.0ms

sample594.0ms

Algorithm
intervals
Results
390.0ms8000×body80valid

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