Details

Time bar (total: 5.6s)

sample109.0ms

Algorithm
intervals
Results
46.0ms731×body80nan
17.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite41.0ms

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))))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series42.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
23.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
7.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07621370
144411058
250011056

prune177.0ms

Filtered
80 candidates to 142 candidates (-77.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1402142
Fresh000
Picked101
Done000
Total1412143

Merged error: 0.0b

Counts
143 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
12.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series43.0ms

Counts
4 → 10
Calls
4 calls:
17.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
20.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07771633
142501344
250021342

prune390.0ms

Filtered
107 candidates to 162 candidates (-51.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1611162
Fresh011
Picked101
Done000
Total1622164

Merged error: 0.0b

Counts
164 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.1b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0b
(/ x (* z y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×pow-prod-down add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 128
Calls
4 calls:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.0ms
(/ x (* z y))

series44.0ms

Counts
4 → 10
Calls
4 calls:
19.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
20.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

simplify69.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05641061
12630948
25001946

prune341.0ms

Filtered
106 candidates to 138 candidates (-30.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh101
Picked011
Done000
Total1382140

Merged error: 0b

Counts
140 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.0b
(pow (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))) 3)
2.1b
(* (sqrt t) (/ x (* z y)))
5.0b
(/ x (* z y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
37×add-cbrt-cube
16×add-sqr-sqrt
15×prod-exp cbrt-unprod
14×pow1
12×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
7×cbrt-undiv div-exp
6×times-frac
5×pow-prod-down
4×associate-*r/ sqrt-prod add-log-exp
3×pow-unpow pow-exp associate-/l* rem-cube-cbrt
2×pow-pow *-commutative div-inv unswap-sqr
1×cube-div cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod clear-num associate-/r* sqr-pow
Counts
4 → 100
Calls
4 calls:
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
6.0ms
(pow (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))) 3)
8.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series80.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
30.0ms
(pow (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))) 3)
22.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

simplify66.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0531811
12577690
25001690

prune219.0ms

Filtered
68 candidates to 112 candidates (-64.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done011
Total1122114

Merged error: 0b

Counts
114 → 2

regimes265.0ms

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
03016
13016

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.4s23674×body80nan
521.0ms8000×body80valid

Profiling

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