Details

Time bar (total: 10.3s)

sample19.0ms

Algorithm
intervals
Results
9.0ms274×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite16.0ms

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))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25002414

prune150.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74680
Fresh000
Picked011
Done000
Total74781

Merged error: 0b

Counts
81 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b
(/ (/ x z) (/ (- y t) 2.0))

rewrite39.0ms

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:
17.0ms
(/ (/ x z) (/ (- y t) 2.0))

series42.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015643639
150013548

prune573.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3020302
Fresh055
Picked011
Done011
Total3027309

Merged error: 0b

Counts
309 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.7b
(* x (/ (/ 2.0 (- y t)) z))

rewrite48.0ms

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))
9.0ms
(/ (/ 2.0 (- y t)) z)
21.0ms
(* x (/ (/ 2.0 (- y t)) z))

series202.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 2.0 (- y t))
76.0ms
(/ (/ 2.0 (- y t)) z)
78.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify86.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07421638
134181557
250021557

prune428.0ms

Filtered
237 candidates to 177 candidates (74.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2361237
Fresh224
Picked011
Done022
Total2386244

Merged error: 0b

Counts
244 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ z (sqrt 2.0)))
0.5b
(/ (- y t) (sqrt 2.0))
0.5b
(/ z (sqrt 2.0))
4.5b
(/ (/ x (/ z (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
8960×times-frac
4385×add-sqr-sqrt *-un-lft-identity
3507×add-cube-cbrt
2091×sqrt-prod
439×distribute-lft-out-- difference-of-squares
220×div-inv
82×associate-/l*
68×associate-/r*
37×associate-/r/
34×add-exp-log add-cbrt-cube
20×cbrt-undiv div-exp
4×pow1 frac-2neg clear-num add-log-exp
3×associate-/l/
1×flip3-- div-sub flip--
Counts
4 → 2744
Calls
4 calls:
7.0ms
(/ x (/ z (sqrt 2.0)))
6.0ms
(/ (- y t) (sqrt 2.0))
4.0ms
(/ z (sqrt 2.0))
78.0ms
(/ (/ x (/ z (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ x (/ z (sqrt 2.0)))
90.0ms
(/ (- y t) (sqrt 2.0))
57.0ms
(/ z (sqrt 2.0))
169.0ms
(/ (/ x (/ z (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

simplify549.0ms

Algorithm
egg-herbie
Counts
2756 → 2756
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0500154292

prune6.3s

Filtered
2756 candidates to 1585 candidates (57.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New275602756
Fresh022
Picked011
Done033
Total275662762

Merged error: 0b

Counts
2762 → 6

regimes129.0ms

Accuracy

52.2% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.8b

bsearch74.0ms

Steps
ItersRangePoint
10
5.890079768028117e-77
4.116045465417054e-61
4.340263090725439e-65
7
-8.804992693271921e-135
-3.990508757407464e-136
-8.709550056120766e-135

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1238

end0.0ms

sample522.0ms

Algorithm
intervals
Results
308.0ms8743×body80valid

Profiling

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