Details

Time bar (total: 7.8s)

sample118.0ms

Algorithm
intervals
Results
44.0ms752×body80nan
16.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune8.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite37.0ms

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))
6.0ms
(* (/ 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))

series161.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
102.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07441318
140771020
250021018

prune453.0ms

Filtered
136 candidates to 78 candidates (57.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1324136
Fresh000
Picked101
Done000
Total1334137

Merged error: 0.0b

Counts
137 → 4

localize19.0ms

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))
3.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite39.0ms

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:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series206.0ms

Counts
4 → 10
Calls
4 calls:
75.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07771633
142501344
250021342

prune706.0ms

Filtered
162 candidates to 107 candidates (66.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1611162
Fresh123
Picked101
Done000
Total1633166

Merged error: 0.0b

Counts
166 → 3

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))
3.4b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.4b
(/ x (* z y))

rewrite28.0ms

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))))
3.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.0ms
(/ x (* z y))

series200.0ms

Counts
4 → 10
Calls
4 calls:
74.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
106.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
20.0ms
(/ x (* z y))

simplify72.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05641061
12630948
25001946

prune656.0ms

Filtered
138 candidates to 106 candidates (76.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh112
Picked011
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1.0 (cbrt 3.0))
1.0b
(/ 1.0 (cbrt 3.0))
3.4b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.4b
(/ x (* z y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×add-exp-log
25×add-cbrt-cube
24×cbrt-prod
13×associate-/r*
9×pow1 prod-exp cbrt-unprod associate-/l*
6×cbrt-undiv div-exp associate-*r*
4×add-log-exp
3×frac-2neg pow-prod-down clear-num sqrt-prod div-inv
1×associate-*r/ associate-*l* associate-*l/ *-commutative
Counts
4 → 125
Calls
4 calls:
4.0ms
(/ 1.0 (cbrt 3.0))
4.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.0ms
(/ x (* z y))

series121.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ 1.0 (cbrt 3.0))
0.0ms
(/ 1.0 (cbrt 3.0))
101.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
20.0ms
(/ x (* z y))

simplify62.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0439741
12004676
25002673

prune686.0ms

Filtered
133 candidates to 102 candidates (76.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh011
Picked011
Done011
Total1333136

Merged error: 0b

Counts
136 → 3

regimes692.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.4s23519×body80nan
507.0ms8000×body80valid

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