Details

Time bar (total: 5.2s)

analyze905.0ms

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

sample62.0ms

Algorithm
intervals
Results
25.0ms315×body80nan
18.0ms256×body80valid

simplify197.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (195.0ms)

IterNodesCost
0520719

prune14.0ms

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:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite42.0ms

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:
7.0ms
(* 3.0 (/ x (* y 27.0)))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series39.0ms

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))))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
21.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify39.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
053172022

prune177.0ms

Filtered
85 candidates to 142 candidates (-67.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh011
Picked011
Done000
Total1413144

Merged error: 0b

Counts
144 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (acos (* (* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z)) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
3.2b
(* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z))
3.7b
(* (* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z)) (sqrt t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
57×add-sqr-sqrt
51×times-frac
44×add-cube-cbrt *-un-lft-identity
41×associate-*r*
39×prod-exp cbrt-unprod
22×cbrt-undiv cbrt-prod div-exp
13×pow1
11×associate-*l*
6×associate-/r*
5×pow-prod-down associate-*l/ unswap-sqr
4×div-inv add-log-exp
3×associate-*r/ sqrt-prod *-commutative associate-/l*
2×frac-times
1×frac-2neg clear-num
Counts
4 → 169
Calls
4 calls:
8.0ms
(* (acos (* (* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z)) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
12.0ms
(* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z))
13.0ms
(* (* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z)) (sqrt t))

series48.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(* (acos (* (* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z)) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
6.0ms
(* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z))
20.0ms
(* (* (/ x (* (* y 27.0) 2.0)) (/ 3.0 z)) (sqrt t))

simplify53.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050202613

prune433.0ms

Filtered
126 candidates to 179 candidates (-42.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1781179
Fresh101
Picked011
Done011
Total1793182

Merged error: 0b

Counts
182 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 3.0 z) (sqrt t))
1.0b
(* (/ 1.0 (cbrt 3.0)) (/ (acos (* (/ x (* y (* 27.0 2.0))) (* (/ 3.0 z) (sqrt t)))) (* (cbrt 3.0) (cbrt 3.0))))
1.0b
(/ 1.0 (cbrt 3.0))
5.0b
(* (/ x (* y (* 27.0 2.0))) (* (/ 3.0 z) (sqrt t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
78×add-cbrt-cube
71×add-sqr-sqrt
60×times-frac
45×add-cube-cbrt *-un-lft-identity
42×associate-*l*
39×prod-exp cbrt-unprod
23×cbrt-prod
22×cbrt-undiv div-exp
14×associate-*r*
13×pow1
10×unswap-sqr
6×associate-/r*
5×pow-prod-down associate-*l/ sqrt-prod div-inv
4×add-log-exp
3×*-commutative associate-/l*
2×frac-times associate-*r/
1×frac-2neg clear-num
Counts
4 → 180
Calls
4 calls:
7.0ms
(* (/ 3.0 z) (sqrt t))
12.0ms
(* (/ 1.0 (cbrt 3.0)) (/ (acos (* (/ x (* y (* 27.0 2.0))) (* (/ 3.0 z) (sqrt t)))) (* (cbrt 3.0) (cbrt 3.0))))
3.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (/ x (* y (* 27.0 2.0))) (* (/ 3.0 z) (sqrt t)))

series50.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(* (/ 3.0 z) (sqrt t))
18.0ms
(* (/ 1.0 (cbrt 3.0)) (/ (acos (* (/ x (* y (* 27.0 2.0))) (* (/ 3.0 z) (sqrt t)))) (* (cbrt 3.0) (cbrt 3.0))))
0.0ms
(/ 1.0 (cbrt 3.0))
23.0ms
(* (/ x (* y (* 27.0 2.0))) (* (/ 3.0 z) (sqrt t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050162998

prune431.0ms

Filtered
131 candidates to 190 candidates (-45.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1900190
Fresh000
Picked011
Done022
Total1903193

Merged error: 0b

Counts
193 → 3

regimes736.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03028
13028

end0.0ms

sample1.7s

Algorithm
intervals
Results
694.0ms10403×body80nan
573.0ms8000×body80valid

Profiling

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