Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms291×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune8.0ms

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))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
11.0ms
(/ (* z (- y t)) 2.0)
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series141.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (* z (- y t)) 2.0)
43.0ms
(* z (- y t))
48.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0498867
12215667
25001667

prune246.0ms

Filtered
130 candidates to 84 candidates (64.6%)
Pruning

7 alts after pruning (7 fresh and 0 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)))

rewrite71.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
12.0ms
(/ x (/ (- y t) 2.0))
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (/ (- y t) 2.0))
47.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09191696
142841528
250011521

prune473.0ms

Filtered
218 candidates to 154 candidates (70.6%)
Pruning

7 alts after pruning (6 fresh and 1 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)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
122×add-sqr-sqrt
120×*-un-lft-identity
118×add-cube-cbrt
54×add-exp-log
34×add-cbrt-cube
31×associate-/r*
30×div-exp
23×div-inv
18×prod-diff
16×cbrt-undiv
11×distribute-rgt-in distribute-lft-in associate-/l*
7×pow1
6×prod-exp
5×associate-*r*
4×expm1-log1p-u rec-exp 1-exp associate-*r/ cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num associate-/l/
2×sub-neg flip3-- flip--
1×pow-flip pow-prod-down associate-/r/ *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 255
Calls
4 calls:
14.0ms
(/ (* z (- y t)) 2.0)
12.0ms
(* z (- y t))
15.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
7.0ms
(/ (/ (* z (- y t)) 2.0) x)

series248.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ (* z (- y t)) 2.0)
34.0ms
(* z (- y t))
95.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
67.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify120.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09692248
147431860
250031860

prune485.0ms

Filtered
267 candidates to 166 candidates (62.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

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))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
11.0ms
(/ (* z (- y t)) 2.0)
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (* z (- y t)) 2.0)
34.0ms
(* z (- y t))
47.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0498867
12215667
25001667

prune253.0ms

Filtered
130 candidates to 84 candidates (64.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

58.8% (2.3b remaining)

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

bsearch91.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03422
13622
23622

end0.0ms

sample523.0ms

Algorithm
intervals
Results
284.0ms8719×body80valid