Details

Time bar (total: 4.2s)

analyze871.0ms

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
20.0ms328×body80nan
17.0ms256×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0521219

prune15.0ms

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

localize18.0ms

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)
3.5b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
4.1b
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

rewrite35.0ms

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

series44.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* y (* 27.0 (* z 2.0)))
8.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
11.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
22.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050791794

prune203.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1242126
Fresh011
Picked101
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize17.0ms

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)))
3.5b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
4.2b
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

rewrite48.0ms

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))))
15.0ms
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

series46.0ms

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))))
22.0ms
(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053381527

prune206.0ms

Filtered
74 candidates to 125 candidates (-68.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555)))
0.2b
(* (/ x (* y z)) 0.05555555555555555)
3.3b
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
4.5b
(/ x (* y z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
13×add-sqr-sqrt associate-*l* prod-exp cbrt-unprod
11×pow1 add-cube-cbrt *-un-lft-identity
6×cbrt-undiv times-frac div-exp
4×associate-*r* pow-prod-down add-log-exp
3×sqrt-prod associate-/l*
2×associate-*l/ *-commutative div-inv
1×acos-asin frac-2neg associate-*r/ clear-num associate-/r* unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555)))
9.0ms
(* (/ x (* y z)) 0.05555555555555555)
9.0ms
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
4.0ms
(/ x (* y z))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(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))

simplify57.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05000895

prune119.0ms

Filtered
64 candidates to 94 candidates (-46.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh101
Picked101
Done011
Total95297

Merged error: 0b

Counts
97 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(acos (* (sqrt t) (* (* (/ 1 y) (/ x z)) 0.05555555555555555)))
0.2b
(* (* (/ 1 y) (/ x z)) 0.05555555555555555)
3.3b
(* (sqrt t) (* (* (/ 1 y) (/ x z)) 0.05555555555555555))
5.0b
(* (/ 1 y) (/ x z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
59×add-cbrt-cube
52×prod-exp
38×add-sqr-sqrt
28×cbrt-unprod
25×times-frac
24×div-exp
23×*-un-lft-identity
21×add-cube-cbrt
20×pow1 associate-*l*
17×associate-*r*
12×cbrt-undiv
10×pow-prod-down
9×associate-*l/
6×rec-exp 1-exp associate-*r/ unswap-sqr
4×add-log-exp
3×frac-times sqrt-prod *-commutative
2×div-inv
1×acos-asin
Counts
4 → 132
Calls
4 calls:
1.0ms
(acos (* (sqrt t) (* (* (/ 1 y) (/ x z)) 0.05555555555555555)))
9.0ms
(* (* (/ 1 y) (/ x z)) 0.05555555555555555)
13.0ms
(* (sqrt t) (* (* (/ 1 y) (/ x z)) 0.05555555555555555))
12.0ms
(* (/ 1 y) (/ x z))

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(acos (* (sqrt t) (* (* (/ 1 y) (/ x z)) 0.05555555555555555)))
6.0ms
(* (* (/ 1 y) (/ x z)) 0.05555555555555555)
26.0ms
(* (sqrt t) (* (* (/ 1 y) (/ x z)) 0.05555555555555555))
5.0ms
(* (/ 1 y) (/ x z))

simplify65.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049661330
149661330

prune153.0ms

Filtered
85 candidates to 144 candidates (-69.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done011
Total1442146

Merged error: 0b

Counts
146 → 2

regimes300.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07223
17223

end0.0ms

sample1.6s

Algorithm
intervals
Results
640.0ms10300×body80nan
547.0ms8000×body80valid

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