Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
10.0ms282×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 6.6b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ 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))

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* z (- y t))
45.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25001414

prune158.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New72880
Fresh101
Picked101
Done000
Total74882

Merged error: 0b

Counts
82 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.5b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite50.0ms

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))
30.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
48.0ms
(* (/ 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

prune417.0ms

Filtered
214 candidates to 149 candidates (69.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2131214
Fresh167
Picked101
Done000
Total2157222

Merged error: 0b

Counts
222 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.4b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite54.0ms

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))
18.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
76.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593858
150023741

prune843.0ms

Filtered
368 candidates to 283 candidates (76.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3662368
Fresh246
Picked011
Done000
Total3687375

Merged error: 0b

Counts
375 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.2b
(* (/ 1 (- y t)) (* x 2.0))
5.4b
(/ (* (/ 1 (- y t)) (* x 2.0)) z)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
38×add-sqr-sqrt *-un-lft-identity
35×add-cbrt-cube
33×times-frac
24×add-cube-cbrt prod-exp
21×associate-*l*
19×div-exp
12×cbrt-unprod
10×cbrt-undiv
9×pow1
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
5×rec-exp 1-exp
4×associate-/r/ associate-/l*
3×pow-prod-down div-inv add-log-exp
2×flip3-- frac-2neg associate-*l/ clear-num flip--
1×pow-flip associate-*r* *-commutative associate-/l/ inv-pow
Counts
3 → 118
Calls
3 calls:
5.0ms
(/ 1 (- y t))
10.0ms
(* (/ 1 (- y t)) (* x 2.0))
11.0ms
(/ (* (/ 1 (- y t)) (* x 2.0)) z)

series262.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- y t))
92.0ms
(* (/ 1 (- y t)) (* x 2.0))
132.0ms
(/ (* (/ 1 (- y t)) (* x 2.0)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0457691
12383541
25003502

prune148.0ms

Filtered
127 candidates to 68 candidates (53.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh055
Picked011
Done011
Total1277134

Merged error: 0b

Counts
134 → 7

regimes224.0ms

Accuracy

50.2% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.6b

bsearch83.0ms

Steps
ItersRangePoint
9
1.0577176516808163e-09
0.008784522488119305
1.4967878306220874e-09
9
-6.121293714038797e-19
-8.466186651699857e-26
-5.297588508357969e-23

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample556.0ms

Algorithm
intervals
Results
325.0ms8716×body80valid

Profiling

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