Details

Time bar (total: 5.4s)

analyze879.0ms

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

sample53.0ms

Algorithm
intervals
Results
18.0ms294×body80nan
16.0ms256×body80valid

simplify197.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
0520719

prune13.0ms

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:

0.4b
(* y (* 27.0 (* z 2.0)))
1.0b
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
3.4b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
5.7b
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

rewrite37.0ms

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*
cbrt-undiv div-exp sqrt-prod associate-/l*
pow-prod-down
associate-*l*
associate-/r* add-log-exp
div-inv
frac-2neg clear-num *-commutative
acos-asin div-sub associate-*r/ unswap-sqr
Counts
4 → 114
Calls
4 calls:
7.0ms
(* y (* 27.0 (* z 2.0)))
4.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
12.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

series47.0ms

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))))
24.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050251794

prune244.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1251126
Fresh011
Picked101
Done000
Total1262128

Merged error: 0.0b

Counts
128 → 2

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)))
3.4b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
5.7b
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

rewrite47.0ms

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
sqrt-prod
associate-/l*
associate-*r*
add-log-exp
*-commutative
associate-*l/ div-inv
frac-2neg associate-*r/ clear-num associate-/r* unswap-sqr
Counts
4 → 113
Calls
4 calls:
13.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
7.0ms
(* y (* 27.0 (* z 2.0)))
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
13.0ms
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

series52.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
4.0ms
(* y (* 27.0 (* z 2.0)))
15.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
23.0ms
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049971527
149971527

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh011
Picked011
Done000
Total1243127

Merged error: 0b

Counts
127 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0)
0.2b
(/ (sqrt t) y)
2.0b
(/ (/ (sqrt t) y) (* 27.0 (* z 2.0)))
5.7b
(* x (* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
94×add-exp-log add-cbrt-cube
63×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
40×prod-exp cbrt-unprod
39×sqrt-prod
29×associate-*l*
28×cbrt-undiv div-exp associate-/l*
11×pow1
div-inv
associate-*r* pow-prod-down associate-/r* add-log-exp
frac-2neg associate-*l/ clear-num *-commutative
associate-*r/ associate-/l/ unswap-sqr
Counts
4 → 192
Calls
4 calls:
15.0ms
(* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0)
4.0ms
(/ (sqrt t) y)
11.0ms
(/ (/ (sqrt t) y) (* 27.0 (* z 2.0)))
17.0ms
(* x (* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0))

series58.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0)
14.0ms
(/ (sqrt t) y)
10.0ms
(/ (/ (sqrt t) y) (* 27.0 (* z 2.0)))
22.0ms
(* x (* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050272546

prune499.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2040204
Fresh011
Picked011
Done011
Total2043207

Merged error: 0b

Counts
207 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite38.0ms

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
associate-*r*
pow1
sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
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))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 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))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049961946
149961946

prune276.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3

regimes695.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02523
12523

end0.0ms

sample1.6s

Algorithm
intervals
Results
638.0ms10242×body80nan
525.0ms8000×body80valid

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