Details

Time bar (total: 3.1s)

sample59.0ms

Algorithm
intervals
Results
19.0ms277×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune15.0ms

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: 6.8b

Counts
2 → 1

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.7b
(/ x (/ (* z (- y t)) 2.0))

rewrite30.0ms

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:
11.0ms
(* z (- y t))
14.0ms
(/ x (/ (* z (- y t)) 2.0))

series35.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* z (- y t))
22.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0353467
11535417
25002414

prune111.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh000
Picked011
Done000
Total73881

Merged error: 0.0b

Counts
81 → 8

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)))

rewrite48.0ms

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))
29.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (/ (- y t) 2.0))
12.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify98.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09151676
142801508
250011501

prune242.0ms

Filtered
149 candidates to 214 candidates (-43.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2122214
Fresh066
Picked011
Done011
Total21210222

Merged error: 0b

Counts
222 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (/ (- y t) 2.0))
15.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593858
150023741

prune417.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3653368
Fresh347
Picked101
Done022
Total3699378

Merged error: 0b

Counts
378 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ (- y t) (sqrt 2.0)))
0.4b
(/ (- y t) (sqrt 2.0))
0.5b
(/ (sqrt 2.0) z)
5.1b
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
503×times-frac
385×add-sqr-sqrt
338×*-un-lft-identity
240×add-cube-cbrt
151×sqrt-prod
107×associate-*r*
49×distribute-lft-out-- difference-of-squares
43×associate-/r*
34×add-exp-log add-cbrt-cube
22×associate-*l*
14×cbrt-undiv div-exp associate-/l*
12×div-inv unswap-sqr
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
2×associate-/r/ associate-/l/
1×frac-times flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 414
Calls
4 calls:
11.0ms
(/ x (/ (- y t) (sqrt 2.0)))
7.0ms
(/ (- y t) (sqrt 2.0))
4.0ms
(/ (sqrt 2.0) z)
55.0ms
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ x (/ (- y t) (sqrt 2.0)))
8.0ms
(/ (- y t) (sqrt 2.0))
4.0ms
(/ (sqrt 2.0) z)
27.0ms
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
426 → 426
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
012493889
150013654

prune522.0ms

Filtered
245 candidates to 426 candidates (-73.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4260426
Fresh066
Picked011
Done022
Total4269435

Merged error: 0b

Counts
435 → 9

regimes344.0ms

Accuracy

51.1% (2.8b remaining)

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

bsearch40.0ms

Steps
ItersRangePoint
8
6.221003804991513e-10
3.460024572465678e-07
3.078007219553459e-07
9
-5.536846773279377e+132
-7.834334140130845e+125
-7.985007212311333e+125

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample658.0ms

Algorithm
intervals
Results
329.0ms8710×body80valid

Profiling

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