Details

Time bar (total: 40.1s)

sample31.0ms

Algorithm
intervals
Results
9.0ms288×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune13.0ms

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: 5.7b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (* z (- y t)) 2.0)
5.5b
(/ x (/ (* z (- y t)) 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
6.0ms
(* z (- y t))
6.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
9.0ms
(/ (* z (- y t)) 2.0)
13.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0413592
11829518
25002515

prune399.0ms

Filtered
106 candidates to 76 candidates (28.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1015106
Fresh101
Picked011
Done000
Total1026108

Merged error: 0b

Counts
108 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

4.2b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
103×add-sqr-sqrt
76×*-un-lft-identity
62×associate-*r*
55×add-cube-cbrt
40×add-exp-log
22×add-cbrt-cube
18×div-exp
13×associate-*l*
12×prod-exp
9×cbrt-undiv distribute-lft-out-- difference-of-squares unswap-sqr
6×cbrt-unprod
5×div-inv
3×pow1 rec-exp 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative add-log-exp
Counts
1 → 114
Calls
1 calls:
31.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0758903
13669763
25002756

prune410.0ms

Filtered
117 candidates to 77 candidates (34.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh134
Picked101
Done011
Total1185123

Merged error: 0b

Counts
123 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

4.1b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
594×times-frac
324×add-sqr-sqrt *-un-lft-identity
252×add-cube-cbrt
62×associate-/l*
36×distribute-lft-out-- difference-of-squares
17×div-inv
10×add-exp-log add-cbrt-cube
6×cbrt-undiv div-exp
4×associate-/r/
3×associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 268
Calls
1 calls:
18.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013203085
150012994

prune2.3s

Filtered
271 candidates to 211 candidates (22.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2701271
Fresh213
Picked011
Done011
Total2724276

Merged error: 0b

Counts
276 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ z x) 2.0)
0.0b
(/ 1 (- y t))
4.8b
(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
3105×times-frac
1493×add-sqr-sqrt *-un-lft-identity
1221×add-cube-cbrt
139×div-inv
136×distribute-lft-out-- difference-of-squares
91×associate-/r/
51×add-exp-log associate-/r*
45×flip3-- flip--
37×associate-/l*
35×div-exp
31×add-cbrt-cube
19×cbrt-undiv
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num add-log-exp
2×associate-/l/
1×pow-flip inv-pow
Counts
3 → 1108
Calls
3 calls:
10.0ms
(/ (/ z x) 2.0)
5.0ms
(/ 1 (- y t))
34.0ms
(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

series39.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (/ z x) 2.0)
5.0ms
(/ 1 (- y t))
31.0ms
(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

simplify183.0ms

Algorithm
egg-herbie
Counts
1117 → 1117
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
0500116675

prune35.1s

Filtered
1117 candidates to 789 candidates (29.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New111701117
Fresh011
Picked011
Done022
Total111741121

Merged error: 0b

Counts
1121 → 4

regimes274.0ms

Accuracy

61.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 5.4b

bsearch72.0ms

Steps
ItersRangePoint
6
7.417757848486877e-41
6.120485720465542e-40
1.7252484947847566e-40
6
-3.726166134750282e-60
-2.928216026623777e-61
-3.374687816909264e-60

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample656.0ms

Algorithm
intervals
Results
293.0ms8723×body80valid

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