Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite17.0ms

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:
6.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series87.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* z (- y t))
49.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353467
11535417
25002414

prune166.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74680
Fresh101
Picked011
Done000
Total75782

Merged error: 0b

Counts
82 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
5.0b
(* x (/ (/ 2.0 (- y t)) z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
8×flip3-- associate-/r* flip--
7×cbrt-undiv div-exp
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
14.0ms
(/ (/ 2.0 (- y t)) z)
23.0ms
(* x (/ (/ 2.0 (- y t)) z))

series199.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 2.0 (- y t))
75.0ms
(/ (/ 2.0 (- y t)) z)
80.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify82.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07421638
134181557
250021557

prune459.0ms

Filtered
237 candidates to 177 candidates (74.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2370237
Fresh055
Picked011
Done011
Total2377244

Merged error: 0b

Counts
244 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

5.2b
(/ (/ x z) (/ (- y t) 2.0))

rewrite37.0ms

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:
15.0ms
(/ (/ x z) (/ (- y t) 2.0))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015643639
150013548

prune629.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3020302
Fresh044
Picked011
Done022
Total3027309

Merged error: 0b

Counts
309 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
5.3b
(/ (/ (* z (- y t)) 2.0) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
107×add-sqr-sqrt
105×*-un-lft-identity
103×add-cube-cbrt
48×add-exp-log
28×div-exp associate-/r* add-cbrt-cube
22×div-inv
14×cbrt-undiv
10×associate-/l*
6×pow1
5×associate-*r* prod-exp
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ clear-num
1×flip3-- pow-flip pow-prod-down associate-/r/ *-commutative flip-- associate-/l/ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 206
Calls
3 calls:
7.0ms
(* z (- y t))
12.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
8.0ms
(/ (/ (* z (- y t)) 2.0) x)

series208.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* z (- y t))
102.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
65.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08281834
141831596
250021455

prune267.0ms

Filtered
215 candidates to 113 candidates (52.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2150215
Fresh033
Picked011
Done033
Total2157222

Merged error: 0b

Counts
222 → 7

regimes166.0ms

Accuracy

47.7% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 5.8b

bsearch85.0ms

Steps
ItersRangePoint
9
2.0436420984639334e+105
3.902019879468145e+111
4.592206748272409e+108
8
-1.2139017585621277e+27
-2.9733919840779706e+24
-4.0866792333001667e+24

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

sample569.0ms

Algorithm
intervals
Results
349.0ms8681×body80valid

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