Details

Time bar (total: 3.0s)

sample30.0ms

Algorithm
intervals
Results
10.0ms285×body80valid

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: 4.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.0b
(/ 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
associate-/r*
cbrt-undiv div-exp associate-*r* div-inv
pow1
associate-*l* associate-/l*
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
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))

series19.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0353467
11535417
25002414

prune109.0ms

Filtered
80 candidates to 57 candidates (28.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75580
Fresh011
Picked101
Done000
Total76682

Merged error: 0b

Counts
82 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.0b
(* x (/ (/ 2.0 (- y t)) z))

rewrite50.0ms

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
flip3-- associate-/r* flip--
cbrt-undiv div-exp
pow1
associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
frac-2neg clear-num
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))

series35.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
11.0ms
(/ (/ 2.0 (- y t)) z)
19.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify80.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07451638
134211557
250011557

prune248.0ms

Filtered
237 candidates to 177 candidates (25.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2370237
Fresh055
Picked011
Done000
Total2376243

Merged error: 0b

Counts
243 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.2b
(* (/ 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
unswap-sqr
cbrt-unprod
pow1
rec-exp 1-exp associate-/l*
associate-/r/ add-log-exp
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))
30.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series20.0ms

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

simplify103.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09151676
142801508
250011501

prune219.0ms

Filtered
214 candidates to 149 candidates (30.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2140214
Fresh044
Picked011
Done011
Total2146220

Merged error: 0b

Counts
220 → 6

localize8.0ms

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

rewrite104.0ms

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
pow1 prod-exp cbrt-unprod
add-log-exp
frac-2neg clear-num
associate-/r/ associate-/l/
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)
56.0ms
(* (/ (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))))

simplify64.0ms

Algorithm
egg-herbie
Counts
426 → 426
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012493889
150013654

prune505.0ms

Filtered
426 candidates to 245 candidates (42.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4260426
Fresh033
Picked011
Done022
Total4266432

Merged error: 0b

Counts
432 → 6

regimes497.0ms

Accuracy

84.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03334
13334

end0.0ms

sample696.0ms

Algorithm
intervals
Results
319.0ms8748×body80valid

Profiling

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