Details

Time bar (total: 3.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (22.0ms)

IterNodesCost
02017
14617
212817
334017
466217
589715
6117915
7175315
8500115

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log add-cbrt-cube
57×*-un-lft-identity
49×times-frac
33×add-sqr-sqrt
30×prod-exp cbrt-unprod
29×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
4×expm1-log1p-u log1p-expm1-u
3×fma-def 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 → 187
Calls
4 calls:
3.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
11.0ms
(/ (+ 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)))))
28.0ms
(* (/ (* 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)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
117.0ms
(/ (+ 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)))))
50.0ms
(* (/ (* 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)))

simplify97.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06482346
132461881
250021820

prune345.0ms

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
(* (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (- (* 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
(* (/ (* 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)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
102×add-exp-log
60×add-cbrt-cube
58×*-un-lft-identity
51×associate-*l*
50×times-frac
49×add-sqr-sqrt
41×prod-exp
34×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
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u frac-times pow-to-exp associate-*r/ log1p-expm1-u add-log-exp
3×cube-div pow-unpow flip3-- associate-*l/ *-commutative flip-- rem-cube-cbrt sqr-pow
2×cube-mult sub-neg pow-plus unpow3 pow-prod-down pow-prod-up
1×pow2 pow-pow pow-sqr difference-of-squares
Counts
4 → 237
Calls
4 calls:
23.0ms
(* (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (- (* 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)))))
28.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
43.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (- (* 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)))))
46.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
60.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
81.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011633360
150012951

prune523.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.4b
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.4b
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.4b
(* (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
1.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
2.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
14.0ms
(* (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

series759.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
184.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
181.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
203.0ms
(* (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03172182
112182043
250021881

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11417

end0.0ms

sample324.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid