Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (20.0ms)

IterNodesCost
02017
14617
212817
334017
466217
589715
6117915
7175315
8500115

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 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)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
62×*-un-lft-identity
53×times-frac
34×add-sqr-sqrt
31×prod-exp cbrt-unprod
30×add-cube-cbrt
27×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
14×distribute-lft-out
11×flip3-+ flip-+
10×div-inv
7×associate-/r*
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
Counts
4 → 198
Calls
4 calls:
6.0ms
(/ (* 2.0 t) (+ 1.0 t))
12.0ms
(/ (+ 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)))))
32.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
29.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (* 2.0 t) (+ 1.0 t))
121.0ms
(/ (+ 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)))))
46.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
52.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify102.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06592306
134551849
250011815

prune352.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
328×times-frac
204×*-un-lft-identity
180×add-sqr-sqrt
176×add-cube-cbrt
150×sqrt-prod
83×add-exp-log add-cbrt-cube
33×associate-/r/
30×prod-exp associate-/r* cbrt-unprod
28×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1 sqrt-div
17×flip3-+ flip-+ div-inv
12×distribute-lft-out
9×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
Counts
4 → 374
Calls
4 calls:
5.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
14.0ms
(/ (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
29.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
33.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
150.0ms
(/ (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
51.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
47.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify131.0ms

Algorithm
egg-herbie
Counts
386 → 386
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
0117212081
1500111004

prune759.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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

sample336.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid