Details

Time bar (total: 9.0s)

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 47.938111%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
18.0ms296×body80nan
17.0ms256×body80valid

simplify42.0ms

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: 1.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite41.0ms

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:
5.0ms
(/ 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))
13.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series36.0ms

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

simplify89.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07441318
140771020
250021018

prune174.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1333136
Fresh000
Picked101
Done000
Total1343137

Merged error: 0.0b

Counts
137 → 3

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))
1.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

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))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series44.0ms

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

simplify96.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07771633
142501344
250021342

prune366.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh022
Picked011
Done000
Total1614165

Merged error: 0b

Counts
165 → 4

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))
1.9b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.4b
(/ x (* z y))

rewrite32.0ms

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:
8.0ms
(* (/ 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))

series40.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (/ 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

prune318.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh022
Picked011
Done011
Total1384142

Merged error: 0b

Counts
142 → 4

localize11.0ms

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))))
1.9b
(* (sqrt t) (/ x (* z y)))
5.4b
(/ x (* z y))

rewrite30.0ms

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))))))
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
7.0ms
(/ x (* z y))

series56.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
24.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
20.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0480733
12326621
25001621

prune95.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done022
Total1054109

Merged error: 0b

Counts
109 → 4

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample3.8s

Algorithm
intervals
sampling

Space saved by range analysis: 47.938111%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
549.0ms8000×body80valid
545.0ms8515×body80nan

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