Details

Time bar (total: 5.2s)

sample117.0ms

Algorithm
intervals
Results
47.0ms739×body80nan
17.0ms256×body80valid

simplify187.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (186.0ms)

IterNodesCost
0520719

prune20.0ms

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

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* y (* 27.0 (* z 2.0)))
1.0b
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
3.6b
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
4.5b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

rewrite57.0ms

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:
8.0ms
(* y (* 27.0 (* z 2.0)))
3.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
20.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
17.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* y (* 27.0 (* z 2.0)))
12.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
43.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
18.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049781794
149781794

prune169.0ms

Filtered
83 candidates to 126 candidates (-51.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh101
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))) (cbrt 3.0)))
0.5b
(* y (* 27.0 (* z 2.0)))
3.7b
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))
4.5b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
86×add-cbrt-cube
59×prod-exp
48×add-sqr-sqrt
47×cbrt-unprod
45×times-frac
30×*-un-lft-identity
27×add-cube-cbrt div-exp
24×associate-*r*
20×pow1 associate-*l*
19×cbrt-undiv
12×cbrt-prod
10×pow-prod-down
9×sqrt-prod unswap-sqr
6×associate-/l*
4×rec-exp 1-exp div-inv add-log-exp
3×*-commutative
2×associate-*l/
1×frac-times frac-2neg associate-*r/ clear-num associate-/r*
Counts
4 → 164
Calls
4 calls:
15.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))) (cbrt 3.0)))
7.0ms
(* y (* 27.0 (* z 2.0)))
12.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))
12.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))) (cbrt 3.0)))
7.0ms
(* y (* 27.0 (* z 2.0)))
26.0ms
(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) (* x 3.0))
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))

simplify74.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049883087
149883087

prune304.0ms

Filtered
98 candidates to 176 candidates (-79.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done011
Total1763179

Merged error: 0b

Counts
179 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
0.1b
(* (/ x (* y z)) 0.05555555555555555)
3.6b
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
4.2b
(/ x (* y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
16×associate-*l*
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×add-log-exp
3×sqrt-prod *-commutative associate-/l*
2×associate-*l/ div-inv unswap-sqr
1×frac-2neg associate-*r/ clear-num associate-/r*
Counts
4 → 92
Calls
4 calls:
6.0ms
(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
7.0ms
(* (/ x (* y z)) 0.05555555555555555)
9.0ms
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
4.0ms
(/ x (* y z))

series43.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
6.0ms
(* (/ x (* y z)) 0.05555555555555555)
24.0ms
(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
5.0ms
(/ x (* y z))

simplify45.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049671048
149671048

prune103.0ms

Filtered
69 candidates to 104 candidates (-50.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done022
Total1043107

Merged error: 0b

Counts
107 → 3

regimes331.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03128
13128

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.5s23576×body80nan
547.0ms8000×body80valid

Profiling

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