Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
9.0ms291×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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)

Merged error: 5.5b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:
9.0ms
(/ (* z (- y t)) 2.0)
11.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series125.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (* z (- y t)) 2.0)
33.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413592
11829518
25002515

prune222.0ms

Filtered
106 candidates to 76 candidates (71.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.3b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite70.0ms

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:
9.0ms
(/ x (/ (- y t) 2.0))
46.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify100.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09151676
142801508
250011501

prune476.0ms

Filtered
214 candidates to 149 candidates (69.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
0.2b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
5.5b
(/ (/ (* z (- y t)) 2.0) x)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
110×add-sqr-sqrt
108×*-un-lft-identity
106×add-cube-cbrt
54×add-exp-log
34×add-cbrt-cube
31×associate-/r*
30×div-exp
23×div-inv
16×cbrt-undiv
11×associate-/l*
7×pow1
6×prod-exp
5×associate-*r*
4×rec-exp 1-exp associate-*r/ cbrt-unprod add-log-exp
3×frac-2neg associate-*l* clear-num associate-/l/
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip--
1×pow-flip pow-prod-down associate-/r/ *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 229
Calls
4 calls:
6.0ms
(/ (* z (- y t)) 2.0)
10.0ms
(* z (- y t))
17.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
7.0ms
(/ (/ (* z (- y t)) 2.0) x)

series239.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (* z (- y t)) 2.0)
34.0ms
(* z (- y t))
91.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
65.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify99.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08821961
143641699
250021558

prune386.0ms

Filtered
241 candidates to 133 candidates (55.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ (- y t) (sqrt 2.0)))
0.5b
(/ (- y t) (sqrt 2.0))
0.5b
(/ (sqrt 2.0) z)
5.2b
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

rewrite132.0ms

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
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
2×associate-/r/ associate-/l/
1×frac-times flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 414
Calls
4 calls:
12.0ms
(/ x (/ (- y t) (sqrt 2.0)))
9.0ms
(/ (- y t) (sqrt 2.0))
3.0ms
(/ (sqrt 2.0) z)
79.0ms
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ x (/ (- y t) (sqrt 2.0)))
84.0ms
(/ (- y t) (sqrt 2.0))
42.0ms
(/ (sqrt 2.0) z)
161.0ms
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
426 → 426
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012493889
150013654

prune878.0ms

Filtered
426 candidates to 245 candidates (57.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes206.0ms

Accuracy

59.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.6b

bsearch76.0ms

Steps
ItersRangePoint
9
4.3200046669048064e-47
5.225323951491071e-42
2.5130261930836797e-42
8
-1.7267244627203807e+68
-2.419512270815878e+65
-1.4988469650336908e+67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221
13221

end0.0ms

sample491.0ms

Algorithm
intervals
Results
272.0ms8719×body80valid