Details

Time bar (total: 3.5s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify69.0ms

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

localize12.0ms

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)))

rewrite50.0ms

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×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 → 190
Calls
4 calls:
6.0ms
(/ (* 2.0 t) (+ 1.0 t))
7.0ms
(/ (+ 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)))))
14.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (* 2.0 t) (+ 1.0 t))
120.0ms
(/ (+ 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)))))
47.0ms
(* (/ (* 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)))

simplify99.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06412230
133581791
250021752

prune326.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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
(/ (+ (pow 1.0 3) (pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)) (* (+ (* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (- (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 1.0)) (* 1.0 1.0)) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
0.1b
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
118×add-exp-log add-cbrt-cube
55×*-un-lft-identity
46×prod-exp cbrt-unprod
45×times-frac
38×cbrt-undiv div-exp
27×add-sqr-sqrt
26×pow1
24×swap-sqr associate-/r/
23×add-cube-cbrt
20×associate-*r* associate-*l*
15×flip3-+ flip-+
14×distribute-lft-out
10×pow-exp rem-cube-cbrt
9×div-inv
7×frac-times
6×pow-pow
5×associate-*r/ associate-*l/ associate-/l*
4×add-log-exp
3×cube-div pow2 pow-unpow pow-plus pow-prod-down pow-sqr pow-prod-up
2×sum-cubes *-commutative associate-/l/ unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod clear-num associate-/r* sqr-pow
Counts
4 → 214
Calls
4 calls:
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
38.0ms
(/ (+ (pow 1.0 3) (pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)) (* (+ (* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (- (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 1.0)) (* 1.0 1.0)) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
14.0ms
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

series441.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (/ (* 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)))
265.0ms
(/ (+ (pow 1.0 3) (pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)) (* (+ (* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (- (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 1.0)) (* 1.0 1.0)) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
76.0ms
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

simplify56.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
08993170
150012565

prune533.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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)))
0.0b
(pow (/ (* 2.0 t) (+ 1.0 t)) 4)
0.1b
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
56×add-cbrt-cube
40×prod-exp
32×unpow-prod-down *-un-lft-identity div-exp
27×add-sqr-sqrt
26×associate-*l*
25×pow-exp
24×times-frac
22×cube-prod
20×add-cube-cbrt cbrt-unprod
16×cbrt-undiv
15×pow1
13×rem-cube-cbrt
12×associate-/r/
10×associate-*r*
9×pow-unpow
8×pow-pow
6×cube-div pow-to-exp flip3-+ flip-+ div-inv distribute-lft-out
5×sqr-pow
4×add-log-exp unswap-sqr
3×cube-mult unpow3
2×frac-times pow-plus associate-*r/ associate-*l/ pow-prod-up
1×pow2 pow-prod-down pow-sqr *-commutative
Counts
4 → 184
Calls
4 calls:
7.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
18.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 4)
15.0ms
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

series285.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
82.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
63.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 4)
76.0ms
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

simplify171.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08121153
146231062
250021062

prune624.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11417

end0.0ms

sample310.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid