Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (21.0ms)

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

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)))

rewrite55.0ms

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))
8.0ms
(/ (+ 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)))))
16.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (* 2.0 t) (+ 1.0 t))
125.0ms
(/ (+ 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)))))
49.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
54.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify107.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06592306
134551849
250011815

prune368.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.5b
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.5b
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.5b
(* (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))))))

rewrite23.0ms

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:
3.0ms
(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)))))
2.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
9.0ms
(* (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))))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
193.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
189.0ms
(cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
208.0ms
(* (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))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03172182
112182043
250021881

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow t 3))
8.6b
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
6.0ms
(* 2.0 (pow t 3))
1.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

series79.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* 2.0 (pow t 3))
42.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

simplify201.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (196.0ms)

IterNodesCost
0149210
1622185
24372185
35001182

prune100.0ms

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

sample302.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid