Details

Time bar (total: 7.5s)

sample2.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.805664%

Guaranteed chance to sample good point: 52.990401%

Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
6.0b
(/ x (/ (* z (- y t)) 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
6.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series27.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0413592
11829518
25002515

prune317.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1015106
Fresh011
Picked101
Done000
Total1026108

Merged error: 0b

Counts
108 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.1b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
31.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
13.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09151676
142801508
250011501

prune234.0ms

Filtered
150 candidates to 214 candidates (-42.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2140214
Fresh055
Picked011
Done000
Total2146220

Merged error: 0b

Counts
220 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

5.8b
(/ (/ x z) (/ (- y t) 2.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
14.0ms
(/ (/ x z) (/ (- y t) 2.0))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015643639
150013548

prune307.0ms

Filtered
217 candidates to 302 candidates (-39.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3011302
Fresh134
Picked011
Done011
Total3026308

Merged error: 0b

Counts
308 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.8b
(/ 2.0 (* z (- y t)))
5.5b
(* x (/ 2.0 (* z (- y t))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*r/
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down *-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 78
Calls
3 calls:
6.0ms
(* z (- y t))
6.0ms
(/ 2.0 (* z (- y t)))
9.0ms
(* x (/ 2.0 (* z (- y t))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
10.0ms
(/ 2.0 (* z (- y t)))
12.0ms
(* x (/ 2.0 (* z (- y t))))

simplify38.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0276393
11366323
25001323

prune72.0ms

Filtered
57 candidates to 87 candidates (-52.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86187
Fresh123
Picked011
Done022
Total87693

Merged error: 0b

Counts
93 → 6

regimes520.0ms

Accuracy

75.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03332
13332

end0.0ms

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.805664%

Guaranteed chance to sample good point: 52.990401%

Results
310.0ms8000×body80valid
27.0ms623×body80invalid

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