Details

Time bar (total: 3.4s)

sample26.0ms

Algorithm
intervals
Results
10.0ms292×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: 5.6b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:
9.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series18.0ms

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

prune105.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New75580
Fresh101
Picked011
Done000
Total76682

Merged error: 0.0b

Counts
82 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.4b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite47.0ms

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))
26.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series19.0ms

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

simplify110.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
09151676
142801508
250011501

prune223.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2122214
Fresh134
Picked101
Done011
Total2146220

Merged error: 0b

Counts
220 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.3b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite51.0ms

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))
19.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series22.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013593858
150023741

prune406.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3680368
Fresh044
Picked011
Done011
Total3686374

Merged error: 0b

Counts
374 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
13.4b
(cbrt (/ x (/ (- y t) 2.0)))
13.4b
(cbrt (/ x (/ (- y t) 2.0)))
13.4b
(cbrt (/ x (/ (- y t) 2.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
317×times-frac
210×add-sqr-sqrt
207×*-un-lft-identity
186×cbrt-prod
152×add-cube-cbrt
27×distribute-lft-out-- difference-of-squares
26×add-exp-log
13×associate-*l* div-inv
12×prod-exp add-cbrt-cube
11×cbrt-div
9×pow1
6×cbrt-unprod
5×frac-times associate-*r/
4×div-exp add-log-exp
3×pow1/3 pow-prod-down associate-*l/ associate-/r/ unswap-sqr
2×cbrt-undiv rec-exp 1-exp
1×associate-*r* *-commutative
Counts
4 → 259
Calls
4 calls:
29.0ms
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
42.0ms
(cbrt (/ x (/ (- y t) 2.0)))
41.0ms
(cbrt (/ x (/ (- y t) 2.0)))
234.0ms
(cbrt (/ x (/ (- y t) 2.0)))

simplify90.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07763208
128553090
250013058

prune596.0ms

Filtered
209 candidates to 271 candidates (-29.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2710271
Fresh033
Picked011
Done022
Total2716277

Merged error: 0b

Counts
277 → 6

regimes303.0ms

Accuracy

53% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.5b

bsearch20.0ms

Steps
ItersRangePoint
0
2.176832712153427e+42
2.235457460426315e+42
2.206145086289871e+42
9
-5.795325876681932e-128
-3.6361988397049085e-134
-2.0096426986404563e-132

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample706.0ms

Algorithm
intervals
Results
319.0ms8801×body80valid

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