Details

Time bar (total: 6.3s)

sample119.0ms

Algorithm
intervals
Results
51.0ms692×body80nan
18.0ms256×body80valid

simplify156.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (154.0ms)

IterNodesCost
0520719

prune13.0ms

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: 1.0b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))
1.0b
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
2.8b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
4.0b
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log add-cbrt-cube
34×prod-exp cbrt-unprod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity times-frac
13×cbrt-undiv div-exp
11×pow1 associate-*r*
9×sqrt-prod associate-/l*
6×associate-*l*
4×pow-prod-down associate-/r* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative
1×acos-asin div-sub unswap-sqr
Counts
4 → 120
Calls
4 calls:
18.0ms
(* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))
4.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
14.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))
9.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
25.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050062087

prune212.0ms

Filtered
86 candidates to 132 candidates (-53.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1302132
Fresh011
Picked101
Done000
Total1313134

Merged error: 0b

Counts
134 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (* 27.0 (* z 2.0)))
0.2b
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
2.8b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
4.0b
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
20×pow1
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv times-frac div-exp associate-*r*
10×pow-prod-down
9×associate-*l* sqrt-prod
6×associate-/l*
4×add-log-exp
3×associate-*r/ *-commutative
2×div-inv
1×frac-2neg clear-num associate-/r* unswap-sqr
Counts
4 → 113
Calls
4 calls:
11.0ms
(* y (* 27.0 (* z 2.0)))
14.0ms
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
15.0ms
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* y (* 27.0 (* z 2.0)))
11.0ms
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
25.0ms
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

simplify37.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050311487

prune221.0ms

Filtered
69 candidates to 125 candidates (-81.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (* 27.0 (* z 2.0)))
0.2b
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
2.8b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
4.0b
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
20×pow1
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv times-frac div-exp associate-*r*
10×pow-prod-down
9×associate-*l* sqrt-prod
6×associate-/l*
4×add-log-exp
3×associate-*r/ *-commutative
2×div-inv
1×frac-2neg clear-num associate-/r* unswap-sqr
Counts
4 → 113
Calls
4 calls:
8.0ms
(* y (* 27.0 (* z 2.0)))
14.0ms
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
15.0ms
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* y (* 27.0 (* z 2.0)))
11.0ms
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
28.0ms
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

simplify37.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050311487

prune184.0ms

Filtered
69 candidates to 125 candidates (-81.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done011
Total1253128

Merged error: 0b

Counts
128 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.3b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
8.0ms
(* 3.0 (/ x (* y 27.0)))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
9.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
22.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
7.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
052422022

prune177.0ms

Filtered
84 candidates to 142 candidates (-69.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done022
Total1423145

Merged error: 0b

Counts
145 → 3

regimes725.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03128
13128

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.7s24083×body80nan
579.0ms8000×body80valid

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