Details

Time bar (total: 5.1s)

analyze1.0s

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
20.0ms311×body80nan
17.0ms256×body80valid

simplify183.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (181.0ms)

IterNodesCost
0520719

prune17.0ms

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:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite36.0ms

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))
5.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (* y 27.0))
11.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
18.0ms
(* (/ (* 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

prune179.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1342136
Fresh101
Picked011
Done000
Total1353138

Merged error: 0b

Counts
138 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
4.3b
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
6.0b
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

rewrite46.0ms

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
39×prod-exp cbrt-unprod
35×associate-*r*
22×cbrt-undiv cbrt-prod div-exp
17×associate-*l*
13×pow1
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 (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
16.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
11.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

series40.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
18.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
6.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052342613

prune408.0ms

Filtered
125 candidates to 179 candidates (-43.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1781179
Fresh101
Picked101
Done011
Total1802182

Merged error: 0b

Counts
182 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (/ (acos (* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))) (* (cbrt 3.0) (cbrt 3.0))))
1.0b
(/ 1.0 (cbrt 3.0))
4.0b
(* (/ x (* 2.0 (* y 27.0))) (sqrt t))
5.6b
(* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
78×add-cbrt-cube
65×add-sqr-sqrt
58×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
8×unswap-sqr
6×associate-/r*
5×pow-prod-down associate-*l/ div-inv
4×sqrt-prod add-log-exp
3×*-commutative associate-/l*
2×frac-times associate-*r/
1×frac-2neg clear-num
Counts
4 → 178
Calls
4 calls:
12.0ms
(* (/ 1.0 (cbrt 3.0)) (/ (acos (* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))) (* (cbrt 3.0) (cbrt 3.0))))
3.0ms
(/ 1.0 (cbrt 3.0))
10.0ms
(* (/ x (* 2.0 (* y 27.0))) (sqrt t))
13.0ms
(* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))

series50.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (/ 1.0 (cbrt 3.0)) (/ (acos (* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))) (* (cbrt 3.0) (cbrt 3.0))))
0.0ms
(/ 1.0 (cbrt 3.0))
15.0ms
(* (/ x (* 2.0 (* y 27.0))) (sqrt t))
18.0ms
(* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049853112
149853112

prune409.0ms

Filtered
130 candidates to 188 candidates (-44.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1880188
Fresh000
Picked011
Done011
Total1882190

Merged error: 0b

Counts
190 → 2

regimes673.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02626
12626

end0.0ms

sample1.7s

Algorithm
intervals
Results
656.0ms10104×body80nan
566.0ms8000×body80valid

Profiling

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