Details

Time bar (total: 7.4s)

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 66.210938%

Results
10.0ms275×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 6.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.8b
(/ x (/ (* z (- y t)) 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
10.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series20.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0353467
11535417
25002414

prune130.0ms

Filtered
57 candidates to 80 candidates (-40.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New71980
Fresh000
Picked011
Done000
Total711081

Merged error: 0.0b

Counts
81 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite53.0ms

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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09151676
142801508
250011501

prune247.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2122214
Fresh268
Picked101
Done011
Total2159224

Merged error: 0b

Counts
224 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.7b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 362
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
18.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series23.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
15.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013593858
150023741

prune444.0ms

Filtered
283 candidates to 368 candidates (-30.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3671368
Fresh257
Picked011
Done011
Total3698377

Merged error: 0b

Counts
377 → 8

localize8.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
3015×times-frac
1431×add-sqr-sqrt *-un-lft-identity
1167×add-cube-cbrt
133×div-inv
132×distribute-lft-out-- difference-of-squares
89×associate-/r/
44×flip3-- flip--
43×associate-/r*
40×add-exp-log
30×div-exp
22×add-cbrt-cube
21×associate-/l*
15×cbrt-undiv
3×rec-exp 1-exp
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 997
Calls
1 calls:
34.0ms
(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

simplify188.0ms

Algorithm
egg-herbie
Counts
1000 → 1000
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
0500116032

prune1.6s

Filtered
696 candidates to 1000 candidates (-43.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New100001000
Fresh055
Picked011
Done022
Total100081008

Merged error: 0b

Counts
1008 → 8

regimes325.0ms

Accuracy

58.6% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.6b

bsearch43.0ms

Steps
ItersRangePoint
8
3.8897539547584604e+73
1.0968337147551502e+76
4.114464845116538e+73
10
-5.842691223453967e-66
-1.616513561512151e-83
-1.571978557789964e-66

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 66.210938%

Results
365.0ms8711×body80valid

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