Details

Time bar (total: 3.7s)

sample27.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02017
14417
212617
332817
460217
578017
6101017
7148217
8500117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log add-cbrt-cube
56×*-un-lft-identity
49×times-frac
32×add-sqr-sqrt
30×prod-exp cbrt-unprod
28×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1 associate-/r/
12×distribute-lft-out
11×flip3-+ flip-+
9×div-inv
6×add-log-exp
3×associate-/r* associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×+-commutative frac-2neg clear-num sum-log
Counts
4 → 176
Calls
4 calls:
7.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
34.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
58.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
60.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
105.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
44.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
45.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify88.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06192260
130841819
250011769

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (- (* 2.0 2.0) (* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t))))) (- 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
0.0b
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
102×add-exp-log
60×add-cbrt-cube
56×*-un-lft-identity
51×associate-*l*
50×times-frac
47×add-sqr-sqrt
41×prod-exp
32×add-cube-cbrt
31×div-exp
24×associate-*r*
22×cbrt-unprod
21×unpow-prod-down cube-prod
20×associate-/r/
17×cbrt-undiv
15×pow1
12×swap-sqr pow-exp
11×distribute-lft-out
10×div-inv
9×flip3-+ flip-+
7×unswap-sqr
4×frac-times pow-to-exp associate-*r/ add-log-exp
3×cube-div pow-unpow flip3-- associate-*l/ *-commutative flip-- rem-cube-cbrt sqr-pow
2×distribute-rgt-in cube-mult sub-neg distribute-lft-in pow-plus unpow3 pow-prod-down pow-prod-up
1×pow2 pow-pow pow-sqr difference-of-squares
Counts
4 → 223
Calls
4 calls:
57.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
53.0ms
(* (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (- (* 2.0 2.0) (* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t))))) (- 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
15.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
75.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

series352.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
184.0ms
(* (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (- (* 2.0 2.0) (* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t))))) (- 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
52.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
73.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011012882
150022523

prune456.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b
(* (sqrt (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))) (sqrt (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
114×add-exp-log add-cbrt-cube
102×*-un-lft-identity times-frac
94×add-sqr-sqrt
74×sqrt-prod
60×add-cube-cbrt
56×swap-sqr
48×associate-*r* associate-*l*
46×prod-exp cbrt-unprod
40×pow1
36×cbrt-undiv div-exp
32×associate-/r/
18×distribute-lft-out
16×flip3-+ flip-+ div-inv
12×unswap-sqr
8×sqrt-pow1 pow1/2 pow-prod-up
6×pow-prod-down pow-sqr
4×pow2 frac-times pow-plus sqrt-div associate-*r/ associate-*l/ *-commutative add-log-exp
1×sqrt-unprod rem-square-sqrt
Counts
4 → 294
Calls
4 calls:
95.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
76.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
57.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
65.0ms
(* (sqrt (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))) (sqrt (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
43.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
43.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
107.0ms
(* (sqrt (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))) (sqrt (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))

simplify198.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
06864959
137064180
250034027

prune593.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11417

end0.0ms

sample331.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid