Details

Time bar (total: 3.8s)

analyze632.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms21×body80invalid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune14.0ms

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: 7.5b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
7.4b
(/ 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:
7.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series27.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0413592
11829518
25002515

prune128.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1033106
Fresh011
Picked101
Done000
Total1044108

Merged error: 0.0b

Counts
108 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.5b
(* (/ 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))
27.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series21.0ms

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

simplify100.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09151676
142801508
250011501

prune226.0ms

Filtered
150 candidates to 214 candidates (-42.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2122214
Fresh033
Picked101
Done000
Total2135218

Merged error: 0b

Counts
218 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.5b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite53.0ms

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))
21.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series24.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
15.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013593858
150023741

prune412.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3680368
Fresh044
Picked011
Done000
Total3685373

Merged error: 0b

Counts
373 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.2b
(* (/ 1 (- y t)) (* x 2.0))
4.5b
(* (/ 1 z) (* (/ 1 (- y t)) (* x 2.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
166×add-exp-log
96×prod-exp
58×add-cbrt-cube
43×add-sqr-sqrt *-un-lft-identity
40×div-exp
39×times-frac
34×associate-*l*
29×add-cube-cbrt
28×cbrt-unprod
20×rec-exp 1-exp
18×pow1
12×cbrt-undiv
9×pow-prod-down
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×associate-*l/ associate-/r/
3×div-inv associate-/l* add-log-exp
2×flip3-- associate-*r* *-commutative flip--
1×frac-times pow-flip frac-2neg associate-*r/ clear-num inv-pow
Counts
3 → 160
Calls
3 calls:
5.0ms
(/ 1 (- y t))
11.0ms
(* (/ 1 (- y t)) (* x 2.0))
14.0ms
(* (/ 1 z) (* (/ 1 (- y t)) (* x 2.0)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- y t))
14.0ms
(* (/ 1 (- y t)) (* x 2.0))
20.0ms
(* (/ 1 z) (* (/ 1 (- y t)) (* x 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06531045
13121766
25003728

prune97.0ms

Filtered
75 candidates to 169 candidates (-125.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh033
Picked011
Done011
Total1695174

Merged error: 0b

Counts
174 → 5

regimes502.0ms

Accuracy

71.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 5.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02833
12833

end0.0ms

analyze627.0ms

Algorithm
search

sample532.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
25.0ms705×body80invalid

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