Details

Time bar (total: 9.9s)

sample2.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.494507%

Guaranteed chance to sample good point: 26.922406%

Results
22.0ms279×body80nan
21.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite61.0ms

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:
6.0ms
(/ x (* y 27.0))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
19.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series47.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (* y 27.0))
9.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
27.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07441318
140771020
250021018

prune167.0ms

Filtered
78 candidates to 136 candidates (-74.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1342136
Fresh000
Picked011
Done000
Total1343137

Merged error: 0b

Counts
137 → 3

localize20.0ms

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))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 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))

series45.0ms

Counts
4 → 10
Calls
4 calls:
15.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
24.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07771633
142501344
250021342

prune347.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done011
Total1623165

Merged error: 0b

Counts
165 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
142×add-exp-log add-cbrt-cube
57×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
11×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 associate-*r*
5×associate-*l*
4×times-frac sqrt-prod div-inv add-log-exp
3×frac-2neg associate-*r/ clear-num associate-/r* associate-/l/ associate-/l*
2×unswap-sqr
1×pow-prod-down associate-*l/ *-commutative
Counts
4 → 131
Calls
4 calls:
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series36.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05551331
13451913
25001911

prune232.0ms

Filtered
65 candidates to 143 candidates (-120.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh000
Picked011
Done022
Total1433146

Merged error: 0b

Counts
146 → 3

regimes753.0ms

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
03116
13116

end0.0ms

sample4.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.494507%

Guaranteed chance to sample good point: 26.922406%

Results
565.0ms8752×body80nan
550.0ms8000×body80valid

Profiling

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