Details

Time bar (total: 5.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u 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 → 96
Calls
2 calls:
22.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

series90.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* z (- y t))
53.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0433735
11861559
25001556

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
421×add-sqr-sqrt
259×*-un-lft-identity
225×cbrt-prod
223×add-cube-cbrt
137×associate-*l*
119×associate-*r*
40×add-exp-log
35×unswap-sqr
25×add-cbrt-cube
18×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
14×div-inv
9×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 362
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
260.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
189.0ms
(cbrt x)
180.0ms
(cbrt x)
78.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016614340
150024232

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.3b
(* (/ 1 (/ (* (cbrt z) (cbrt z)) (cbrt 1))) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
594×add-exp-log
300×div-exp
220×prod-exp
140×add-cbrt-cube
122×cbrt-undiv
86×cbrt-unprod
48×times-frac
35×associate-*l*
30×rec-exp 1-exp
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod
9×pow1
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 234
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
171.0ms
(* (/ 1 (/ (* (cbrt z) (cbrt z)) (cbrt 1))) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
195.0ms
(cbrt x)
188.0ms
(cbrt x)
52.0ms
(* (/ 1 (/ (* (cbrt z) (cbrt z)) (cbrt 1))) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012264330
150013345

prune521.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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:
16.0ms
(/ x (/ (- y t) 2.0))
61.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (/ (- y t) 2.0))
47.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09191696
142841528
250011521

prune466.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

31.4% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 4.2b

bsearch82.0ms

Steps
ItersRangePoint
11
1.2979253516218341e-108
4.892481330765819e-88
4.68254886014513e-88
10
-2.239848575624568e-140
-2.141684871670345e-153
-2.0143432420500498e-140

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample539.0ms

Algorithm
intervals
Results
243.0ms8751×body80valid