Details

Time bar (total: 4.0s)

analyze872.0ms

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
0%99.8%0.2%8
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14

sample57.0ms

Algorithm
intervals
Results
22.0ms338×body80nan
16.0ms256×body80valid

simplify194.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (193.0ms)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* y (* 27.0 (* z 2.0)))
1.0b
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
4.3b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
6.1b
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
23×add-sqr-sqrt prod-exp cbrt-unprod
21×add-cube-cbrt *-un-lft-identity times-frac
15×pow1
11×associate-*r*
9×cbrt-undiv div-exp sqrt-prod associate-/l*
7×pow-prod-down
6×associate-*l*
4×associate-/r* add-log-exp
3×div-inv
2×frac-2neg clear-num *-commutative
1×acos-asin div-sub associate-*r/ unswap-sqr
Counts
4 → 114
Calls
4 calls:
7.0ms
(* y (* 27.0 (* z 2.0)))
3.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
14.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* y (* 27.0 (* z 2.0)))
9.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
21.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050251794

prune173.0ms

Filtered
81 candidates to 126 candidates (-55.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh101
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
0.4b
(* y (* 27.0 (* z 2.0)))
4.3b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
6.1b
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
20×pow1
16×add-sqr-sqrt associate-*l*
14×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv times-frac div-exp
10×pow-prod-down
9×sqrt-prod
6×associate-/l*
5×associate-*r*
4×add-log-exp
3×*-commutative
2×associate-*l/ div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* unswap-sqr
Counts
4 → 113
Calls
4 calls:
12.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
7.0ms
(* y (* 27.0 (* z 2.0)))
9.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
12.0ms
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

series49.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
3.0ms
(* y (* 27.0 (* z 2.0)))
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
25.0ms
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049971527
149971527

prune193.0ms

Filtered
70 candidates to 125 candidates (-78.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done011
Total1253128

Merged error: 0b

Counts
128 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
0.1b
(* (/ x (* y z)) 0.05555555555555555)
3.4b
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
7.1b
(/ x (* y z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
16×associate-*l*
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×add-log-exp
3×sqrt-prod *-commutative associate-/l*
2×associate-*l/ div-inv unswap-sqr
1×frac-2neg associate-*r/ clear-num associate-/r*
Counts
4 → 92
Calls
4 calls:
3.0ms
(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
7.0ms
(* (/ x (* y z)) 0.05555555555555555)
9.0ms
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
4.0ms
(/ x (* y z))

series41.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
6.0ms
(* (/ x (* y z)) 0.05555555555555555)
23.0ms
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
5.0ms
(/ x (* y z))

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049631058
149631058

prune106.0ms

Filtered
69 candidates to 104 candidates (-50.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done022
Total1043107

Merged error: 0b

Counts
107 → 3

regimes314.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03128
13128

end0.0ms

sample1.6s

Algorithm
intervals
Results
628.0ms10331×body80nan
507.0ms8000×body80valid

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