Details

Time bar (total: 21.8s)

sample8.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.836304%

Guaranteed chance to sample good point: 33.510794%

Results
19.0ms256×body80valid
17.0ms277×body80nan

simplify45.0ms

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: 2.0b

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))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite39.0ms

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))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series39.0ms

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))))
22.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07621370
144411058
250011056

prune173.0ms

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

localize22.0ms

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))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.4b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite38.0ms

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))

series41.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
19.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07771633
142501344
250021342

prune355.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh011
Picked011
Done000
Total1613164

Merged error: 0b

Counts
164 → 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))
3.5b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.5b
(/ x (* z y))

rewrite29.0ms

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))

series42.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
19.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

simplify67.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05641061
12630948
25001946

prune308.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.1b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.5b
(* (sqrt t) (/ x (* z y)))
6.5b
(/ x (* z y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×sqrt-prod add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×frac-2neg clear-num associate-/r*
Counts
4 → 93
Calls
4 calls:
3.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
8.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
4.0ms
(/ x (* z y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
23.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
21.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

simplify60.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0480733
12326621
25001621

prune96.0ms

Filtered
64 candidates to 105 candidates (-64.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108

Merged error: 0b

Counts
108 → 3

regimes675.0ms

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 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample10.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.836304%

Guaranteed chance to sample good point: 33.510794%

Results
542.0ms8000×body80valid
539.0ms8541×body80nan

Profiling

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