Details

Time bar (total: 4.7s)

analyze869.0ms

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

sample64.0ms

Algorithm
intervals
Results
27.0ms373×body80nan
17.0ms256×body80valid

simplify189.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (187.0ms)

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

localize14.0ms

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)
4.4b
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
5.2b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

rewrite45.0ms

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:
15.0ms
(* 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)
12.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
9.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))
8.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
23.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050772087

prune202.0ms

Filtered
88 candidates to 132 candidates (-50.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1311132
Fresh011
Picked101
Done000
Total1322134

Merged error: 0b

Counts
134 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (acos (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))) (sqrt 3.0)) (sqrt 3.0))
0.2b
(* y (* 27.0 (* z 2.0)))
4.5b
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))
5.2b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
149×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
141×sqrt-prod
77×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
28×associate-/l*
18×pow1
15×cbrt-undiv div-exp
13×associate-*l*
10×div-inv
9×pow-prod-down
7×associate-/r*
4×add-log-exp
2×frac-2neg div-sub associate-*r* clear-num *-commutative
1×acos-asin associate-*l/ associate-/l/
Counts
4 → 270
Calls
4 calls:
12.0ms
(/ (/ (acos (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))) (sqrt 3.0)) (sqrt 3.0))
7.0ms
(* y (* 27.0 (* z 2.0)))
13.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))
9.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (/ (acos (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))) (sqrt 3.0)) (sqrt 3.0))
4.0ms
(* y (* 27.0 (* z 2.0)))
27.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051867892

prune440.0ms

Filtered
129 candidates to 282 candidates (-118.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2820282
Fresh011
Picked011
Done000
Total2822284

Merged error: 0b

Counts
284 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
4.0ms
(/ x (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (* y 27.0))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
23.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049961946
149961946

prune159.0ms

Filtered
82 candidates to 136 candidates (-65.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done011
Total1362138

Merged error: 0b

Counts
138 → 2

regimes657.0ms

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
02623
12623

end0.0ms

sample1.6s

Algorithm
intervals
Results
652.0ms10243×body80nan
532.0ms8000×body80valid

Profiling

Loading profile data...